Calculus For The Life Sciences A Modeling Approach

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Calculus for the Life Sciences: A Modeling Approach

Author : James L. Cornette
Publisher : American Mathematical Soc.
ISBN 13 : 1470451425
Total Pages : 713 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Calculus for the Life Sciences: A Modeling Approach by : James L. Cornette

Download or read book Calculus for the Life Sciences: A Modeling Approach written by James L. Cornette and published by American Mathematical Soc.. This book was released on 2019-05-25 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus for the Life Sciences is an entire reimagining of the standard calculus sequence with the needs of life science students as the fundamental organizing principle. Those needs, according to the National Academy of Science, include: the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. This book addresses, in a deep and significant way, every concept on that list. The book begins with a primer on modeling in the biological realm and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration through a column of water, and dynamics of a colony of mold in the first few pages. In each case there is actual data that needs fitting. In the case of the mold colony that data is a set of photographs of the colony growing on a ruled sheet of graph paper and the students need to make their own approximations. Fundamental questions about the nature of mathematical modeling—trying to approximate a real-world phenomenon with an equation—are all laid out for the students to wrestle with. The authors have produced a beautifully written introduction to the uses of mathematics in the life sciences. The exposition is crystalline, the problems are overwhelmingly from biology and interesting and rich, and the emphasis on modeling is pervasive. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to [email protected] for more information. Online question content and interactive step-by-step tutorials are available for this title in WebAssign. WebAssign is a leading provider of online instructional tools for both faculty and students.

Calculus for the Life Sciences

Author : James L. Cornette
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (114 download)

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Book Synopsis Calculus for the Life Sciences by : James L. Cornette

Download or read book Calculus for the Life Sciences written by James L. Cornette and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus for the Life Sciences : a Modeling Approach

Author : James L. Cornette
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis Calculus for the Life Sciences : a Modeling Approach by : James L. Cornette

Download or read book Calculus for the Life Sciences : a Modeling Approach written by James L. Cornette and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus for the Life Sciences: a Modeling Approach, Volume II, Difference and Differential Equations

Author : James L. Cornette
Publisher :
ISBN 13 : 9781470025885
Total Pages : 560 pages
Book Rating : 4.0/5 (258 download)

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Book Synopsis Calculus for the Life Sciences: a Modeling Approach, Volume II, Difference and Differential Equations by : James L. Cornette

Download or read book Calculus for the Life Sciences: a Modeling Approach, Volume II, Difference and Differential Equations written by James L. Cornette and published by . This book was released on 2012-02-04 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume II is suitable for students who have studied calculus and are interested in difference and differential equation models in the life sciences. Volume II consists of Chapter 1 of Volume I, the differential equations content of Chapters 3, 5, 7, and 10 of Volume I, and five chapters on linear and non-linear first and second order difference equations and differential equations.

Modeling Life

Author : Alan Garfinkel
Publisher : Springer
ISBN 13 : 3319597310
Total Pages : 445 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Modeling Life by : Alan Garfinkel

Download or read book Modeling Life written by Alan Garfinkel and published by Springer. This book was released on 2017-09-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?

Mathematics for the Life Sciences

Author : Glenn Ledder
Publisher : Springer Science & Business Media
ISBN 13 : 1461472768
Total Pages : 431 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematics for the Life Sciences by : Glenn Ledder

Download or read book Mathematics for the Life Sciences written by Glenn Ledder and published by Springer Science & Business Media. This book was released on 2013-08-29 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Calculus

Author : Joseph M. Mahaffy
Publisher :
ISBN 13 : 9780536839893
Total Pages : 339 pages
Book Rating : 4.8/5 (398 download)

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Book Synopsis Calculus by : Joseph M. Mahaffy

Download or read book Calculus written by Joseph M. Mahaffy and published by . This book was released on 2004 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics in Medicine and the Life Sciences

Author : Frank C. Hoppensteadt
Publisher : Springer Science & Business Media
ISBN 13 : 1475741316
Total Pages : 257 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematics in Medicine and the Life Sciences by : Frank C. Hoppensteadt

Download or read book Mathematics in Medicine and the Life Sciences written by Frank C. Hoppensteadt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to introduce the subject of mathematical modeling in the life sciences. It is intended for students of mathematics, the physical sciences, and engineering who are curious about biology. Additionally, it will be useful to students of the life sciences and medicine who are unsatisfied with mere description and who seek an understanding of biological mechanism and dynamics through the use of mathematics. The book will be particularly useful to premedical students, because it will introduce them not only to a collection of mathematical methods but also to an assortment of phenomena involving genetics, epidemics, and the physiology of the heart, lung, and kidney. Because of its introductory character, mathematical prerequisites are kept to a minimum; they involve only what is usually covered in the first semester of a calculus sequence. The authors have drawn on their extensive experience as modelers to select examples which are simple enough to be understood at this elementary level and yet realistic enough to capture the essence of significant biological phenomena drawn from the areas of population dynamics and physiology. Because the models presented are realistic, the book can serve not only as an introduction to mathematical methods but also as a mathematical introduction to the biological material itself. For the student, who enjoys mathematics, such an introduction will be far more stimulating and satisfying than the purely descriptive approach that is traditional in the biological sciences.

Calculus for the Life Sciences

Author : Frederick R Adler
Publisher :
ISBN 13 : 9780176530785
Total Pages : pages
Book Rating : 4.5/5 (37 download)

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Book Synopsis Calculus for the Life Sciences by : Frederick R Adler

Download or read book Calculus for the Life Sciences written by Frederick R Adler and published by . This book was released on 2014-02-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has played a major role in breakthroughs in epidemiology, genetics, physiology, and other biological areas. Calculus for the Life Sciences: Modelling the Dynamics of Life provides life science students with a thorough grounding in mathematics while helping them to understand the role mathematics has in biological science.

Calculus for The Life Sciences

Author : Sebastian J. Schreiber
Publisher : Wiley Global Education
ISBN 13 : 1118893352
Total Pages : 744 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Calculus for The Life Sciences by : Sebastian J. Schreiber

Download or read book Calculus for The Life Sciences written by Sebastian J. Schreiber and published by Wiley Global Education. This book was released on 2014-01-17 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this much anticipated first edition, the authors present the basic canons of first-year calculus, but motivated through real biological problems. The two main goals of the text are to provide students with a thorough grounding in calculus concepts and applications, analytical techniques, and numerical methods and to have students understand how, when, and why calculus can be used to model biological phenomena.Ê Both students and instructors will find the book to be a gateway to the exciting interface of mathematics and biology.

Mathematics for the Life Sciences

Author : Erin N. Bodine
Publisher : Princeton University Press
ISBN 13 : 0691150729
Total Pages : 630 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematics for the Life Sciences by : Erin N. Bodine

Download or read book Mathematics for the Life Sciences written by Erin N. Bodine and published by Princeton University Press. This book was released on 2014-08-17 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available

Mathematical Modeling in the Social and Life Sciences

Author : Michael Olinick
Publisher : John Wiley & Sons
ISBN 13 : 1118642694
Total Pages : 594 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Mathematical Modeling in the Social and Life Sciences by : Michael Olinick

Download or read book Mathematical Modeling in the Social and Life Sciences written by Michael Olinick and published by John Wiley & Sons. This book was released on 2014-05-05 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Olinick’s Mathematical Models in the Social and Life Sciences concentrates not on physical models, but on models found in biology, social science, and daily life. This text concentrates on a relatively small number of models to allow students to study them critically and in depth, and balances practice and theory in its approach. Each chapter concluded with suggested projects that encourage students to build their own models, and space is set aside for historical and biographical notes about the development of mathematical models.

Calculus for the Life Sciences

Author : Frederick R. Adler
Publisher :
ISBN 13 : 9780176500832
Total Pages : pages
Book Rating : 4.5/5 (8 download)

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Book Synopsis Calculus for the Life Sciences by : Frederick R. Adler

Download or read book Calculus for the Life Sciences written by Frederick R. Adler and published by . This book was released on 2011-02-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus for the Life Sciences: Modeling the Dynamics of Life introduces 1st-year life sciences majors to the insights and applications of mathematics in the biological sciences. Designed to help life sciences students understand the role mathematics has played in breakthroughs in epidemiology, genetics, physiology, and other biological areas, this text provides students with a thorough foundation in mathematics, the language, and 'the technology of thought' with which these developments are created and controlled.

Mathematical Methods in Biology

Author : J. David Logan
Publisher : John Wiley & Sons
ISBN 13 : 0470525878
Total Pages : 437 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Mathematical Methods in Biology by : J. David Logan

Download or read book Mathematical Methods in Biology written by J. David Logan and published by John Wiley & Sons. This book was released on 2009-08-17 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-of-a-kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory. The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic. In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book's algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem-solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study. Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.

Modeling Differential Equations in Biology

Author : Clifford Henry Taubes
Publisher : Cambridge University Press
ISBN 13 : 1316582787
Total Pages : pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Modeling Differential Equations in Biology by : Clifford Henry Taubes

Download or read book Modeling Differential Equations in Biology written by Clifford Henry Taubes and published by Cambridge University Press. This book was released on 2008-01-17 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a very successful one-semester course taught at Harvard, this text teaches students in the life sciences how to use differential equations to help their research. It needs only a semester's background in calculus. Ideas from linear algebra and partial differential equations that are most useful to the life sciences are introduced as needed, and in the context of life science applications, are drawn from real, published papers. It also teaches students how to recognize when differential equations can help focus research. A course taught with this book can replace the standard course in multivariable calculus that is more usually suited to engineers and physicists.

Mathematical Models in the Biosciences I

Author : Michael Frame
Publisher : Yale University Press
ISBN 13 : 0300258429
Total Pages : 542 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematical Models in the Biosciences I by : Michael Frame

Download or read book Mathematical Models in the Biosciences I written by Michael Frame and published by Yale University Press. This book was released on 2021-06-22 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: An award-winning professor’s introduction to essential concepts of calculus and mathematical modeling for students in the biosciences This is the first of a two-part series exploring essential concepts of calculus in the context of biological systems. Michael Frame covers essential ideas and theories of basic calculus and probability while providing examples of how they apply to subjects like chemotherapy and tumor growth, chemical diffusion, allometric scaling, predator-prey relations, and nerve impulses. Based on the author’s calculus class at Yale University, the book makes concepts of calculus more relatable for science majors and premedical students.

Calculus for the Life Sciences

Author : Frederick R. Adler
Publisher : Cengage Learning Canada Inc
ISBN 13 : 0176728074
Total Pages : pages
Book Rating : 4.1/5 (767 download)

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Book Synopsis Calculus for the Life Sciences by : Frederick R. Adler

Download or read book Calculus for the Life Sciences written by Frederick R. Adler and published by Cengage Learning Canada Inc. This book was released on 2015-05-11 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has played a major role in breakthroughs in epidemiology, genetics, physiology, and other biological areas. Calculus for the Life Sciences: Modelling the Dynamics of Life provides life science students with a thorough grounding in mathematics while helping them to understand the role mathematics has in biological science.