Mathematics For The Life Sciences

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Mathematics for the Life Sciences

Erin N. Bodine,Suzanne Lenhart,Louis J. Gross
Mathematics for the Life Sciences Book PDF

Author : Erin N. Bodine,Suzanne Lenhart,Louis J. Gross
Publisher : Princeton University Press
Page : 630 pages
File Size : 50,6 Mb
Release : 2014-08-17
Category : Mathematics
ISBN : 9780691150727

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Mathematics for the Life Sciences by Erin N. Bodine,Suzanne Lenhart,Louis J. Gross Pdf

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

Mathematics for the Life Sciences

Glenn Ledder
Mathematics for the Life Sciences Book PDF

Author : Glenn Ledder
Publisher : Springer Science & Business Media
Page : 431 pages
File Size : 54,5 Mb
Release : 2013-08-29
Category : Mathematics
ISBN : 9781461472766

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Mathematics for the Life Sciences by Glenn Ledder Pdf

​ ​​ 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.

Introductory Mathematics for the Life Sciences

David Phoenix
Introductory Mathematics for the Life Sciences Book PDF

Author : David Phoenix
Publisher : CRC Press
Page : 200 pages
File Size : 41,9 Mb
Release : 2018-10-24
Category : Mathematics
ISBN : 9781351988711

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Introductory Mathematics for the Life Sciences by David Phoenix Pdf

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.

Introduction to Mathematics for Life Scientists

E. Batschelet
Introduction to Mathematics for Life Scientists Book PDF

Author : E. Batschelet
Publisher : Springer Science & Business Media
Page : 657 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642962707

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Introduction to Mathematics for Life Scientists by E. Batschelet Pdf

A few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact ofthe fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature.

Mathematics and the Natural Sciences

Francis Bailly,Giuseppe Longo
Mathematics and the Natural Sciences Book PDF

Author : Francis Bailly,Giuseppe Longo
Publisher : World Scientific
Page : 336 pages
File Size : 49,6 Mb
Release : 2011-03-04
Category : Science
ISBN : 9781908977793

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Mathematics and the Natural Sciences by Francis Bailly,Giuseppe Longo Pdf

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

Erin N. Bodine,Suzanne Lenhart,Louis J. Gross
Mathematics for the Life Sciences Book PDF

Author : Erin N. Bodine,Suzanne Lenhart,Louis J. Gross
Publisher : Princeton University Press
Page : 640 pages
File Size : 55,8 Mb
Release : 2014-08-17
Category : Mathematics
ISBN : 9781400852772

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Mathematics for the Life Sciences by Erin N. Bodine,Suzanne Lenhart,Louis J. Gross Pdf

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

Mathematics in Medicine and the Life Sciences

Frank C. Hoppensteadt,Charles S. Peskin
Mathematics in Medicine and the Life Sciences Book PDF

Author : Frank C. Hoppensteadt,Charles S. Peskin
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 49,5 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475741315

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Mathematics in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles S. Peskin Pdf

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.

Mathematics for Life Science and Medicine

Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato
Mathematics for Life Science and Medicine Book PDF

Author : Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 47,5 Mb
Release : 2007-01-25
Category : Mathematics
ISBN : 9783540344261

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Mathematics for Life Science and Medicine by Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato Pdf

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.

Mathematical Modeling for the Life Sciences

Jacques Istas
Mathematical Modeling for the Life Sciences Book PDF

Author : Jacques Istas
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 48,6 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783540278771

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Mathematical Modeling for the Life Sciences by Jacques Istas Pdf

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

Calculus for the Life Sciences: A Modeling Approach

James L. Cornette,Ralph A. Ackerman
Calculus for the Life Sciences A Modeling Approach Book PDF

Author : James L. Cornette,Ralph A. Ackerman
Publisher : American Mathematical Soc.
Page : 713 pages
File Size : 55,8 Mb
Release : 2019-05-25
Category : Calculus
ISBN : 9781470451424

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Calculus for the Life Sciences: A Modeling Approach by James L. Cornette,Ralph A. Ackerman Pdf

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.

Modeling and Simulation in Medicine and the Life Sciences

Frank C. Hoppensteadt,Charles S. Peskin
Modeling and Simulation in Medicine and the Life Sciences Book PDF

Author : Frank C. Hoppensteadt,Charles S. Peskin
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215716

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Modeling and Simulation in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles S. Peskin Pdf

The result of lectures given by the authors at New York University, the University of Utah, and Michigan State University, the material is written for students who have had only one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well as solutions to selected exercises, so as to lead readers to discover interesting extensions of that material. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations. Topics covered range from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models.

Mathematics Of Life

Ian Stewart
Mathematics Of Life Book PDF

Author : Ian Stewart
Publisher : Profile Books
Page : 335 pages
File Size : 54,9 Mb
Release : 2011-04-07
Category : Mathematics
ISBN : 9781847653505

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Mathematics Of Life by Ian Stewart Pdf

A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance. Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself. He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.

Mathematical Modeling in the Life Sciences

Paul Doucet,Peter B. Sloep
Mathematical Modeling in the Life Sciences Book PDF

Author : Paul Doucet,Peter B. Sloep
Publisher : Prentice Hall
Page : 490 pages
File Size : 40,8 Mb
Release : 1992-01-01
Category : Biomathematics.
ISBN : 013562018X

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Mathematical Modeling in the Life Sciences by Paul Doucet,Peter B. Sloep Pdf

Combining mathematics, biology, statistics and computer applications, this text applies mathematical methods to the solution of biological and related problems. It demonstrates how to formulate mathematical models of dynamic processes and how to study their behaviour analytically and numerically.

Modeling Life

Alan Garfinkel,Jane Shevtsov,Yina Guo
Modeling Life Book PDF

Author : Alan Garfinkel,Jane Shevtsov,Yina Guo
Publisher : Springer
Page : 445 pages
File Size : 40,6 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9783319597317

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Modeling Life by Alan Garfinkel,Jane Shevtsov,Yina Guo Pdf

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?

College Mathematics for Business, Economics, Life Sciences and Social Sciences

Raymond A. Barnett,Michael R. Ziegler,Karl E. Byleen
College Mathematics for Business Economics Life Sciences and Social Sciences Book PDF

Author : Raymond A. Barnett,Michael R. Ziegler,Karl E. Byleen
Publisher : Longman Publishing Group
Page : 1013 pages
File Size : 54,9 Mb
Release : 2010
Category : Biomathematics
ISBN : 0321710827

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College Mathematics for Business, Economics, Life Sciences and Social Sciences by Raymond A. Barnett,Michael R. Ziegler,Karl E. Byleen Pdf

A large variety and quantity of up-to-date applications from business economics, life sciences, and social sciences to convince the most sceptical students of the relevance and value of mathematics in the real world.