Focusing on discrete models across a variety of biological subdisciplines, this introductory textbook includes linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. Assuming no knowledge of calculus, the development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer research with MATLAB is incorporated throughout in exercises and more extensive projects to provide readers with actual experience with the mathematical models.
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"The exercises throughout this book are excellent. Mathematical Models in Biology: An Introduction presents nontrivial and current topics in mathematical biology for first-and second-year undergraduate majors in mathematics or biology. With its brisk writing style, clear handling of the mathematics and the biology, and thorough exercises, this text is positioned to meet the needs of mathematics students interested in biology as well as biology students who need to see the serious role of mathematics in their chosen area of study." James V. Rauff, Millikin University, Mathematics and Computer Education
"Highly recommended." CHOICE
"This remarkable book is one of the best introductory threatments that I have seen, and it is an ideal text for a beginning undergraduate course in mathematical biology."
The Mathematical Association of America, Gerald B. Folland
"Highly recommended." CHOICE
"This remarkable book is one of the best introductory threatments that I have seen, and it is an ideal text for a beginning undergraduate course in mathematical biology."
The Mathematical Association of America, Gerald B. Folland
Book Description
This introductory textbook focuses on discrete models across a variety of biological subdisciplines, including linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. The book is suitable for students at a calculus level, but assumes no calculus. Self-contained development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed.
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Item shipped quickly, and arrived in the condition specified. I need it for a class, so I don't think it will make good coffee-table reading, but overall a good book.
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Inside This Book
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First Sentence:
Whether we investigate the growth and interactions of an entire population, the evolution of DNA sequences, the inheritance of traits, or the spread of disease, biological systems are marked by change and adaptation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
agouti fur, closest taxa, parsimony score, sir model, infective class, white sheaf, mutation count, sir equations, bean heights, discrete logistic model, relative removal rate, descendent sequences, topological trees, stable stage distribution, mass action term, sable body, normal sheaf, first few time steps, relative fitness values, basic reproduction number, metric tree, vermilion eyes, terminal taxa, neighbor joining algorithm, die toss Key Phrases - Capitalized Phrases (CAPs): (learn more)
Neighbor Joining, United States, New York, Distances Between Groups, Sinauer Associates, Compute the Kimura, Time Figure New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Whether we investigate the growth and interactions of an entire population, the evolution of DNA sequences, the inheritance of traits, or the spread of disease, biological systems are marked by change and adaptation. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
agouti fur, closest taxa, parsimony score, sir model, infective class, white sheaf, mutation count, sir equations, bean heights, discrete logistic model, relative removal rate, descendent sequences, topological trees, stable stage distribution, mass action term, sable body, normal sheaf, first few time steps, relative fitness values, basic reproduction number, metric tree, vermilion eyes, terminal taxa, neighbor joining algorithm, die toss Key Phrases - Capitalized Phrases (CAPs): (learn more)
Neighbor Joining, United States, New York, Distances Between Groups, Sinauer Associates, Compute the Kimura, Time Figure New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 22
books:
See all 22 books this book cites
2
books
cite this book:
- Molecular Systematics, Second Edition by David M. Hillis on page 363, and Back Matter
- An Introduction to Mathematical Biology by Linda J.S. Allen on page 362
- Linear Models in Biology: Linear Systems Analysis With Biological Applications (Mathematics and Its Applications (Ellis Horwood Ltd)) by Michael Cullen on page 362
- Linear Algebra and Its Applications (3rd Edition) by David C. Lay on page 363
- Introduction to Linear Algebra by Robert V. Anderson on page 364
See all 22 books this book cites
- Mathematical Models of the Cell and Cell Associated Objects, Volume 206 (Mathematics in Science and Engineering) by Viktor V. Ivanov in Back Matter
- Math & Bio 2010: Linking Undergraduate Disciplines by Lynn Arthur Steen in Back Matter
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