mathematics for the life sciences

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Mathematics For The Life Sciences

Author : Erin N. Bodine
ISBN : 9781400852772
Genre : Mathematics
File Size : 74. 7 MB
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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 Forthcoming online answer key, solution guide, and illustration package (available to professors)

Mathematics For The Life Sciences

Author : Erin N. Bodine
ISBN : 0691150729
Genre : Mathematics
File Size : 74. 99 MB
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"This is the book I always wanted to write, a masterful and thorough introduction to the basic mathematical, statistical, and computational tools one needs to address biological problems, punctuated with solid and motivational applications to biology. The book is a seamless and authoritative treatment, with broad scope, that makes an ideal text for an introductory course."--Simon A. Levin, editor of "The Princeton Guide to Ecology" "This book presents mathematics as the Esperanto of science, which it truly is. The authors provide salient topics in understandable form, selecting examples that capture the interest of biologists. "Mathematics for the Life Sciences" is as useful as it is stimulating."--Rita Colwell, University of Maryland Institute for Advanced Computer Studies "This book does an admirable job of covering the mathematical topics that are essential for studying and analyzing biological systems. By bringing them together in a single coherent and well-written volume, the authors have produced a text that will truly serve undergraduate students in biology. The exercises are particularly well done."--Alan Hastings, University of California, Davis "This is a thorough, self-contained introductory textbook for training undergraduate students in basic mathematical and statistical methods that are important in biological sciences. Students are introduced to topics ranging from probability and statistics to matrix theory and calculus, with a brief introduction to modeling using difference and differential equations. Two unique features of this textbook are the inclusion of real-world biological data to motivate particular methods and the use of MATLAB for computational purposes."--Linda J. S. Allen, Texas Tech University "This spectacular book develops the reader's ability to quantitatively analyze problems arising in biology, and illustrates the great utility of mathematical models and computing to provide answers to key questions. The biological examples and student projects are excellent."--Carlos Castillo-Chavez, Arizona State University "This is a good introductory text for life sciences undergraduates who do not have a strong background in mathematics and need to familiarize themselves with core math concepts and their applications to biology. The problems and examples are well chosen, and the book is written in a style that is clear and makes it easy for students to use on their own."--Joceline Lega, University of Arizona There are no other books quite like this one on the market. Other texts on the subject do not have nearly the amount of statistics and probability that this one has, nor do they do as much to help build practical MATLAB skills. The abundance of data-driven examples, exercises, and student projects also sets this book apart from its competitors."Trachette L. Jackson, University of Michigan

Undergraduate Mathematics For The Life Sciences

Author : Glenn Ledder
ISBN : 9780883851913
Genre : MATHEMATICS
File Size : 78. 16 MB
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Mathematics For The Life Sciences

Author : Glenn Ledder
ISBN : 9781461472766
Genre : Mathematics
File Size : 37. 90 MB
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​​ ​​ 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.

Mathematics In Medicine And The Life Sciences

Author : Frank C. Hoppensteadt
ISBN : 9781475741315
Genre : Mathematics
File Size : 38. 37 MB
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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.

Introductory Mathematics For The Life Sciences

Author : David Phoenix
ISBN : 9780203483039
Genre : Mathematics
File Size : 23. 11 MB
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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.

Finite Mathematics For Business Economics Life Sciences And Social Sciences

Author : Raymond A. Barnett
ISBN : 0321945522
Genre : Mathematics
File Size : 72. 76 MB
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&> Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchaseboth the physical text and MyMathLab, search for ISBN-10: 0321947622 /ISBN-13:9780321947628. That package includes ISBN-10: 0321431308 /ISBN-13: 9780321431301, ISBN-10: 0321654064/ISBN-13:978032165406, and ISBN-10: 0321945522/ISBN-13: 9780321945525. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. Barnett/Ziegler/Byleen is designed to help students help themselves succeed in the course. This text offers more built-in guidance than any other on the market–with special emphasis on prerequisites skills–and a host of student-friendly features to help students catch up or learn on their own.

Mathematics For Life Science And Medicine

Author : Yasuhiro Takeuchi
ISBN : 9783540344261
Genre : Mathematics
File Size : 60. 55 MB
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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.

The Mathematics Of Life

Author : Ian Stewart
ISBN : 9780465024407
Genre : Science
File Size : 67. 46 MB
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Biologists have long dismissed mathematics as being unable to meaningfully contribute to our understanding of living beings. Within the past ten years, however, mathematicians have proven that they hold the key to unlocking the mysteries of our world--and ourselves. In The Mathematics of Life, Ian Stewart provides a fascinating overview of the vital but little-recognized role mathematics has played in pulling back the curtain on the hidden complexities of the natural world--and how its contribution will be even more vital in the years ahead. In his characteristically clear and entertaining fashion, Stewart explains how mathematicians and biologists have come to work together on some of the most difficult scientific problems that the human race has ever tackled, including the nature and origin of life itself.

Lectures On Mathematics In The Life Sciences

Author :
ISBN : STANFORD:36105002942758
Genre : Biomathematics
File Size : 33. 72 MB
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Vols. 1-14 consist of the annual proceedings of the Symposium on Mathematical Biology, with title: Some mathematical problems in biology, held in 1966; and: Some mathematical questions in biology, held in 1967-1981. Vols. 15- consist of the annual proceedings of the Symposium Some Mathematical Questions in Biology.

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