Introductory Mathematics For The Life Sciences

Introductory Mathematics for the Life Sciences Book

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Introductory Mathematics for the Life Sciences

By David Phoenix
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : CRC Press
  • Isbn : 0203483030
  • Pages : 229
  • Category : Mathematics
  • Reads : 369
  • File Pdf: introductory-mathematics-for-the-life-sciences.pdf

Book Summary:

Introductory Mathematics for the Life Sciences offers a straightforward introduction to the mathematical principles needed for studies in the life sciences. Starting with the basics of numbers, fractions, ratios, and percentages, the author explains progressively more sophisticated concepts, from algebra, measurement, and scientific notation through the linear, power, exponential, and logarithmic functions to introductory statistics. Worked examples illustrate concepts, applications, and interpretations, and exercises at the end of each chapter help readers apply and practice the skills they develop. Answers to the exercises are posted at the end of the text.

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Related Books

Mathematics for Life Science and Medicine

By Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 3540344268
  • Pages : 228
  • Category : Mathematics
  • Reads : 734
  • File Pdf: mathematics-for-life-science-and-medicine.pdf

Book Summary:

The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. It provides a fascinating survey of the theory of dynamical systems in biology and medicine. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Introductory Mathematics for the Life Sciences

By David Phoenix
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : CRC Press
  • Isbn : 1351989170
  • Pages : 229
  • Category : Mathematics
  • Reads : 122
  • File Pdf: introductory-mathematics-for-the-life-sciences.pdf

Book Summary:

Introductory Mathematics for the Life Sciences offers a straightforward introduction to the mathematical principles needed for studies in the life sciences. Starting with the basics of numbers, fractions, ratios, and percentages, the author explains progressively more sophisticated concepts, from algebra, measurement, and scientific notation through the linear, power, exponential, and logarithmic functions to introductory statistics. Worked examples illustrate concepts, applications, and interpretations, and exercises at the end of each chapter help readers apply and practice the skills they develop. Answers to the exercises are posted at the end of the text.

An Introduction to Delay Differential Equations with Applications to the Life Sciences

By hal smith
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1441976469
  • Pages : 172
  • Category : Mathematics
  • Reads : 482
  • File Pdf: an-introduction-to-delay-differential-equations-with-applications-to-the-life-sciences.pdf

Book Summary:

This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.

Mathematics and the Natural Sciences

By Francis Bailly,Giuseppe Longo
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific
  • Isbn : 1908977795
  • Pages : 336
  • Category : Science
  • Reads : 466
  • File Pdf: mathematics-and-the-natural-sciences.pdf

Book Summary:

This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work. The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations. Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level. Contents:Mathematical Concepts and Physical ObjectsIncompleteness and Indetermination in Mathematics and PhysicsSpace and Time from Physics to BiologyInvariances, Symmetries, and Symmetry BreakingsCauses and Symmetries: The Continuum and the Discrete in Mathematical ModelingExtended Criticality: The Physical Singularity of Life PhenomenaRandomness and Determination in the Interplay between the Continuum and the DiscreteConclusion: Unification and Separation of Theories, or the Importance of Negative Results Readership: Graduate students and professionals in the fields of natural sciences, biology, computer science, mathematics, and physics. Keywords:Foundations of Mathematics and of Physics;Epistemology;Theoretical BiologyKey Features:This book is an epistemological reflection carried out by two working scientists, a physicist and a mathematician, who focus on biology. They first address a comparative analysis of the founding principles of their own disciplines. On the grounds of a three-fold blend, they then introduce a unique proposal, which does not passively transfer the paradigms of the first two theoretically well-established disciplines, to suggest a novel theoretical framework for the third discipline

Mathematics for the Life Sciences

By Glenn Ledder
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1461472768
  • Pages : 431
  • Category : Mathematics
  • Reads : 187
  • File Pdf: mathematics-for-the-life-sciences.pdf

Book Summary:

​ ​​ Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as a one-chapter primer that is suitable for readers who have not studied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling that begins with discussions of biological data and the basic principles of modeling. The remainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empirical modeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ideas and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticated viewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and its applications to inferential statistics and three chapters on discrete and continuous dynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey relationships, epidemiology, and immunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis.

Introduction to Mathematics for Life Scientists

By Edward Batschelet
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 3642618693
  • Pages : 646
  • Category : Technology & Engineering
  • Reads : 335
  • File Pdf: introduction-to-mathematics-for-life-scientists.pdf

Book Summary:

From the reviews: "...Here we have a book which we can wholeheartedly suggest. The mathematics is sound and pared to essentials; the examples are an impressive, well-chosen selection from the biomathematics literature, and the problem sets provide both useful exercises and some fine introductions to the art of modeling... Batschelet has written an introduction to biomathematics which is notable for its clarity - not only a clarity of presentation, but also a clarity of purpose, backed by a sure grasp of the field..." #Bulletin of Mathematical Biology#1 "For research workers in the biomedical field who feel a need for freshening up their knowledge in mathematics, but so far have always been frustrated by either too formal or too boring textbooks, there is now exactly what they would like to have: an easy to read introduction. This book is highly motivating for practical workers because only those mathematical techniques are offered for which there is an application in the life sciences. The reader will find it stimulating that each tool described is immediately exemplified by problems from latest publications." #Int. Zeitschrift für klinische Pharmakologie, Therapie und Toxikologie#2

Essential Mathematical Biology

By Nicholas F. Britton
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1447100492
  • Pages : 335
  • Category : Mathematics
  • Reads : 536
  • File Pdf: essential-mathematical-biology.pdf

Book Summary:

This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.

The Mathematics and Mechanics of Biological Growth

By Alain Goriely
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 038787710X
  • Pages : 646
  • Category : Mathematics
  • Reads : 977
  • File Pdf: the-mathematics-and-mechanics-of-biological-growth.pdf

Book Summary:

This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.

Mathematical Models in Biology

By Leah Edelstein-Keshet
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : SIAM
  • Isbn : 9780898719147
  • Pages : 629
  • Category : Mathematics
  • Reads : 769
  • File Pdf: mathematical-models-in-biology.pdf

Book Summary:

Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Mathematical Modeling for the Life Sciences

By Jacques Istas
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 354027877X
  • Pages : 168
  • Category : Mathematics
  • Reads : 395
  • File Pdf: mathematical-modeling-for-the-life-sciences.pdf

Book Summary:

Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

By Sarah P. Otto,Troy Day
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Princeton University Press
  • Isbn : 1400840910
  • Pages : 744
  • Category : Science
  • Reads : 612
  • File Pdf: a-biologist-s-guide-to-mathematical-modeling-in-ecology-and-evolution.pdf

Book Summary:

Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

Mathematical Biology

By Ronald W. Shonkwiler,James Herod
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 0387709843
  • Pages : 551
  • Category : Science
  • Reads : 564
  • File Pdf: mathematical-biology.pdf

Book Summary:

This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.

Modeling Life

By Alan Garfinkel,Jane Shevtsov,Yina Guo
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 3319597310
  • Pages : 445
  • Category : Mathematics
  • Reads : 396
  • File Pdf: modeling-life.pdf

Book Summary:

This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?

Quantifying Life

By Dmitry A. Kondrashov
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : University of Chicago Press
  • Isbn : 022637193X
  • Pages : 304
  • Category : Science
  • Reads : 651
  • File Pdf: quantifying-life.pdf

Book Summary:

Since the time of Isaac Newton, physicists have used mathematics to describe the behavior of matter of all sizes, from subatomic particles to galaxies. In the past three decades, as advances in molecular biology have produced an avalanche of data, computational and mathematical techniques have also become necessary tools in the arsenal of biologists. But while quantitative approaches are now providing fundamental insights into biological systems, the college curriculum for biologists has not caught up, and most biology majors are never exposed to the computational and probabilistic mathematical approaches that dominate in biological research. With Quantifying Life, Dmitry A. Kondrashov offers an accessible introduction to the breadth of mathematical modeling used in biology today. Assuming only a foundation in high school mathematics, Quantifying Life takes an innovative computational approach to developing mathematical skills and intuition. Through lessons illustrated with copious examples, mathematical and programming exercises, literature discussion questions, and computational projects of various degrees of difficulty, students build and analyze models based on current research papers and learn to implement them in the R programming language. This interplay of mathematical ideas, systematically developed programming skills, and a broad selection of biological research topics makes Quantifying Life an invaluable guide for seasoned life scientists and the next generation of biologists alike.

Stochastic Tools in Mathematics and Science

By Alexandre J. Chorin,Ole H Hald
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1441910026
  • Pages : 162
  • Category : Mathematics
  • Reads : 426
  • File Pdf: stochastic-tools-in-mathematics-and-science.pdf

Book Summary:

This introduction to probability-based modeling covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. Topics covered include conditional expectations, stochastic processes, Langevin equations, and Markov chain Monte Carlo algorithms. The applications include data assimilation, prediction from partial data, spectral analysis and turbulence. A special feature is the systematic analysis of memory effects.

Introduction to Biological Physics for the Health and Life Sciences

By Kirsten Franklin,Paul Muir,Terry Scott,Paul Yates
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : John Wiley & Sons
  • Isbn : 1118934482
  • Pages : 600
  • Category : Science
  • Reads : 658
  • File Pdf: introduction-to-biological-physics-for-the-health-and-life-sciences.pdf

Book Summary:

A thoroughly updated and extended new edition of this well-regarded introduction to the basic concepts of biological physics for students in the health and life sciences. Designed to provide a solid foundation in physics for students following health science courses, the text is divided into six sections: Mechanics, Solids and Fluids, Thermodynamics, Electricity and DC Circuits, Optics, and Radiation and Health. Filled with illustrative examples, Introduction to Biological Physics for the Health and Life Sciences, Second Edition features a wealth of concepts, diagrams, ideas and challenges, carefully selected to reference the biomedical sciences. Resources within the text include interspersed problems, objectives to guide learning, and descriptions of key concepts and equations, as well as further practice problems. NEW CHAPTERS INCLUDE: Optical Instruments Advanced Geometric Optics Thermodynamic Processes Heat Engines and Entropy Thermodynamic Potentials This comprehensive text offers an important resource for health and life science majors with little background in mathematics or physics. It is also an excellent reference for anyone wishing to gain a broad background in the subject. Topics covered include: Kinematics Force and Newton’s Laws of Motion Energy Waves Sound and Hearing Elasticity Fluid Dynamics Temperature and the Zeroth Law Ideal Gases Phase and Temperature Change Water Vapour Thermodynamics and the Body Static Electricity Electric Force and Field Capacitance Direct Currents and DC Circuits The Eye and Vision Optical Instruments Atoms and Atomic Physics The Nucleus and Nuclear Physics Ionising Radiation Medical imaging Magnetism and MRI Instructor’s support material available through companion website, www.wiley.com/go/biological_physics

Introduction to Applied Mathematics for Environmental Science

By David F. Parkhurst
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 0387342281
  • Pages : 317
  • Category : Science
  • Reads : 664
  • File Pdf: introduction-to-applied-mathematics-for-environmental-science.pdf

Book Summary:

This book teaches mathematical structures and how they can be applied in environmental science. Each chapter presents story problems with an emphasis on derivation. For each of these, the discussion follows the pattern of first presenting an example of a type of structure as applied to environmental science. The definition of the structure is presented, followed by additional examples using MATLAB, and analytic methods of solving and learning from the structure.

An Introduction to Optimal Control Problems in Life Sciences and Economics

By Sebastian Aniţa,Viorel Arnăutu,Vincenzo Capasso
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 0817680985
  • Pages : 232
  • Category : Mathematics
  • Reads : 258
  • File Pdf: an-introduction-to-optimal-control-problems-in-life-sciences-and-economics.pdf

Book Summary:

Combining control theory and modeling, this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new ideas, and carefully presented MATLAB® programs help foster an understanding of the basics, but also lead the way to new, independent research. With minimal prerequisites and exercises in each chapter, this work serves as an excellent textbook and reference for graduate and advanced undergraduate students, researchers, and practitioners in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance.

Mathematics: A Very Short Introduction

By Timothy Gowers
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : OUP Oxford
  • Isbn : 0191579416
  • Pages : 160
  • Category : Mathematics
  • Reads : 403
  • File Pdf: mathematics.pdf

Book Summary:

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Deep Learning for Coders with fastai and PyTorch

By Jeremy Howard,Sylvain Gugger
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : "O'Reilly Media, Inc."
  • Isbn : 1492045470
  • Pages : 624
  • Category : Computers
  • Reads : 418
  • File Pdf: deep-learning-for-coders-with-fastai-and-pytorch.pdf

Book Summary:

Deep learning is often viewed as the exclusive domain of math PhDs and big tech companies. But as this hands-on guide demonstrates, programmers comfortable with Python can achieve impressive results in deep learning with little math background, small amounts of data, and minimal code. How? With fastai, the first library to provide a consistent interface to the most frequently used deep learning applications. Authors Jeremy Howard and Sylvain Gugger, the creators of fastai, show you how to train a model on a wide range of tasks using fastai and PyTorch. You’ll also dive progressively further into deep learning theory to gain a complete understanding of the algorithms behind the scenes. Train models in computer vision, natural language processing, tabular data, and collaborative filtering Learn the latest deep learning techniques that matter most in practice Improve accuracy, speed, and reliability by understanding how deep learning models work Discover how to turn your models into web applications Implement deep learning algorithms from scratch Consider the ethical implications of your work Gain insight from the foreword by PyTorch cofounder, Soumith Chintala

Mathematics and Life Sciences

By Alexandra V. Antoniouk,Roderick V. N. Melnik
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Walter de Gruyter
  • Isbn : 3110288532
  • Pages : 328
  • Category : Mathematics
  • Reads : 407
  • File Pdf: mathematics-and-life-sciences.pdf

Book Summary:

The book provides a unique collection of in-depth mathematical, statistical, and modeling methods and techniques for life sciences, as well as their applications in a number of areas within life sciences. It also includes a range of new ideas that represent emerging frontiers in life sciences where the application of such quantitative methods and techniques is becoming increasingly important. The book is aimed at researchers in academia, practitioners and graduate students who want to foster interdisciplinary collaborations required to meet the challenges at the interface of modern life sciences and mathematics.

Mathematical Biology

By James D. Murray
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 0387224378
  • Pages : 551
  • Category : Mathematics
  • Reads : 345
  • File Pdf: mathematical-biology.pdf

Book Summary:

Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.

Mathematical Biology

By James D. Murray
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 0387224378
  • Pages : 551
  • Category : Mathematics
  • Reads : 874
  • File Pdf: mathematical-biology.pdf

Book Summary:

Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.

How Students Learn

By National Research Council,Division of Behavioral and Social Sciences and Education,Committee on How People Learn, A Targeted Report for Teachers
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : National Academies Press
  • Isbn : 0309133033
  • Pages : 632
  • Category : Education
  • Reads : 717
  • File Pdf: how-students-learn.pdf

Book Summary:

How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. How Students Learn: History, Mathematics, and Science in the Classroom builds on the discoveries detailed in the bestselling How People Learn. Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students’ knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. How Students Learn offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children’s education.

Teaching and Learning of Calculus

By David Bressoud,Imène Ghedamsi,Victor Martinez-Luaces,Günter Törner
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 3319329758
  • Pages : 37
  • Category : Education
  • Reads : 856
  • File Pdf: teaching-and-learning-of-calculus.pdf

Book Summary:

This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

Stochastic Models In The Life Sciences And Their Methods Of Analysis

By Wan Frederic Y M
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific
  • Isbn : 981327462X
  • Pages : 476
  • Category : Mathematics
  • Reads : 852
  • File Pdf: stochastic-models-in-the-life-sciences-and-their-methods-of-analysis.pdf

Book Summary:

Biological processes are evolutionary in nature and often evolve in a noisy environment or in the presence of uncertainty. Such evolving phenomena are necessarily modeled mathematically by stochastic differential/difference equations (SDE), which have been recognized as essential for a true understanding of many biological phenomena. Yet, there is a dearth of teaching material in this area for interested students and researchers, notwithstanding the addition of some recent texts on stochastic modelling in the life sciences. The reason may well be the demanding mathematical pre-requisites needed to 'solve' SDE.A principal goal of this volume is to provide a working knowledge of SDE based on the premise that familiarity with the basic elements of a stochastic calculus for random processes is unavoidable. Through some SDE models of familiar biological phenomena, we show how stochastic methods developed for other areas of science and engineering are also useful in the life sciences. In the process, the volume introduces to biologists a collection of analytical and computational methods for research and applications in this emerging area of life science. The additions broaden the available tools for SDE models for biologists that have been limited by and large to stochastic simulations.

Statistics

By David W. Scott
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : John Wiley & Sons
  • Isbn : 1119675812
  • Pages : 184
  • Category : Mathematics
  • Reads : 314
  • File Pdf: statistics.pdf

Book Summary:

Statistic: A Concise Mathematical Introduction for Students and Scientists offers a one academic term text that prepares the student to broaden their skills in statistics, probability and inference, prior to selecting their follow-on courses in their chosen fields, whether it be engineering, computer science, programming, data sciences, business or economics. The book places focus early on continuous measurements, as well as discrete random variables. By invoking simple and intuitive models and geometric probability, discrete and continuous experiments and probabilities are discussed throughout the book in a natural way. Classical probability, random variables, and inference are discussed, as well as material on understanding data and topics of special interest. Topics discussed include: • Classical equally likely outcomes • Variety of models of discrete and continuous probability laws • Likelihood function and ratio • Inference • Bayesian statistics With the growth in the volume of data generated in many disciplines that is enabling the growth in data science, companies now demand statistically literate scientists and this textbook is the answer, suited for undergraduates studying science or engineering, be it computer science, economics, life sciences, environmental, business, amongst many others. Basic knowledge of bivariate calculus, R language, Matematica and JMP is useful, however there is an accompanying website including sample R and Mathematica code to help instructors and students.

Introduction to Modeling for Biosciences

By David J. Barnes,Dominique Chu
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1849963266
  • Pages : 322
  • Category : Computers
  • Reads : 975
  • File Pdf: introduction-to-modeling-for-biosciences.pdf

Book Summary:

Mathematical modeling can be a useful tool for researchers in the biological scientists. Yet in biological modeling there is no one modeling technique that is suitable for all problems. Instead, different problems call for different approaches. Furthermore, it can be helpful to analyze the same system using a variety of approaches, to be able to exploit the advantages and drawbacks of each. In practice, it is often unclear which modeling approaches will be most suitable for a particular biological question, a problem which requires researchers to know a reasonable amount about a number of techniques, rather than become experts on a single one. "Introduction to Modeling for Biosciences" addresses this issue by presenting a broad overview of the most important techniques used to model biological systems. In addition to providing an introduction into the use of a wide range of software tools and modeling environments, this helpful text/reference describes the constraints and difficulties that each modeling technique presents in practice, enabling the researcher to quickly determine which software package would be most useful for their particular problem. Topics and features: introduces a basic array of techniques to formulate models of biological systems, and to solve them; intersperses the text with exercises throughout the book; includes practical introductions to the Maxima computer algebra system, the PRISM model checker, and the Repast Simphony agent modeling environment; discusses agent-based models, stochastic modeling techniques, differential equations and Gillespie’s stochastic simulation algorithm; contains appendices on Repast batch running, rules of differentiation and integration, Maxima and PRISM notation, and some additional mathematical concepts; supplies source code for many of the example models discussed, at the associated website http://www.cs.kent.ac.uk/imb/. This unique and practical guide leads the novice modeler through realistic and concrete modeling projects, highlighting and commenting on the process of abstracting the real system into a model. Students and active researchers in the biosciences will also benefit from the discussions of the high-quality, tried-and-tested modeling tools described in the book. Dr. David J. Barnes is a lecturer in computer science at the University of Kent, UK, with a strong background in the teaching of programming. Dr. Dominique Chu is a lecturer in computer science at the University of Kent, UK. He is an internationally recognized expert in agent-based modeling, and has also in-depth research experience in stochastic and differential equation based modeling.

Introduction to MATLAB® for Biologists

By Cerian Ruth Webb,Mirela Domijan
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 3030213374
  • Pages : 175
  • Category : Science
  • Reads : 285
  • File Pdf: introduction-to-matlab-for-biologists.pdf

Book Summary:

This textbook takes you from the very first time you open MATLAB® through to a position where you can comfortably integrate this computer language into your research or studies. The book will familiarise you with the MATLAB interface, show you how to use the program ́s built-in functions and carefully guide you towards creating your own functions and scripts so that you can use MATLAB as a sophisticated tool to support your own research. A central aim of this book is to provide you with the core knowledge and skills required to become a confident MATLAB user so that you can find and make use of the many specialist functions and toolboxes that have been developed to support a wide range of biological applications. Examples presented within the book are selected to be relevant to biological scientists and they illustrate some of the many ways the program can be incorporated into, and used to enhance, your own research and studies. The textbook is a must-have for students and researchers in the biological sciences. It will also appeal to readers of all backgrounds who are looking for an introduction to MATLAB which is suitable for those with little or no experience of programming.

Applied Statistics with R

By Justin C. Touchon
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Oxford University Press
  • Isbn : 0192640127
  • Pages : 304
  • Category : Science
  • Reads : 932
  • File Pdf: applied-statistics-with-r.pdf

Book Summary:

The statistical analyses that students of the life-sciences are being expected to perform are becoming increasingly advanced. Whether at the undergraduate, graduate, or post-graduate level, this book provides the tools needed to properly analyze your data in an efficient, accessible, plainspoken, frank, and occasionally humorous manner, ensuring that readers come away with the knowledge of which analyses they should use and when they should use them. The book uses the statistical language R, which is the choice of ecologists worldwide and is rapidly becoming the 'go-to' stats program throughout the life-sciences. Furthermore, by using a single, real-world dataset throughout the book, readers are encouraged to become deeply familiar with an imperfect but realistic set of data. Indeed, early chapters are specifically designed to teach basic data manipulation skills and build good habits in preparation for learning more advanced analyses. This approach also demonstrates the importance of viewing data through different lenses, facilitating an easy and natural progression from linear and generalized linear models through to mixed effects versions of those same analyses. Readers will also learn advanced plotting and data-wrangling techniques, and gain an introduction to writing their own functions. Applied Statistics with R is suitable for senior undergraduate and graduate students, professional researchers, and practitioners throughout the life-sciences, whether in the fields of ecology, evolution, environmental studies, or computational biology.

Introduction to Mathematical Biology

By Ching Shan Chou,Avner Friedman
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 3319296388
  • Pages : 172
  • Category : Mathematics
  • Reads : 289
  • File Pdf: introduction-to-mathematical-biology.pdf

Book Summary:

This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.