Overview
- Focuses on issues of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics
- Includes new chapters on parasites, cancer, and phylogenetics, as well as an introduction to online resources for DNA, protein lookups, and popular pattern matching tools such as BLAST
- Introduces emerging field of algebraic statistics its power illustrated in the context of phylogenetics
- Integrates syntax for both the Maple and Matlab systems in a tandem format
- Provides graphic visualizations for all mathematical results
- Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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About this book
This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. It updates an earlier successful edition and greatly expands the concept of the "computer biology laboratory," giving students a general perspective of the field before proceeding to more specialized topics. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics. It includes new chapters on parasites, cancer, and phylogenetics, along with an introduction to online resources for DNA, protein lookups, and popular pattern matching tools such as BLAST. In addition, the emerging field of algebraic statistics is introduced and its power illustrated in the context of phylogenetics.
A unique feature of the book is the integration of a computer algebra system into the flow of ideas in a supporting but unobtrusive role. Syntax for both the Maple and Matlab systems is provided in a tandem format. The use of a computer algebra system gives the students the opportunity to examine "what if" scenarios, allowing them to investigate biological systems in a way never before possible. For students without access to Maple or Matlab, each topic presented is complete. Graphic visualizations are provided for all mathematical results.
Mathematical Biology includes extensive exercises, problems and examples. A year of calculus with linear algebra is required to understand the material presented. The biology presented proceeds from the study of populations down to the molecular level; no previous coursework in biology is necessary. The book is appropriate for undergraduate and graduate students studying mathematics or biology and for scientists and researchers who wish to study the applications of mathematics and computers in the natural sciences.
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Keywords
Table of contents (15 chapters)
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Cells, Signals, Growth, and Populations
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Systems and Diseases
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Genomics
Reviews
From the reviews of the second edition:
“This is a well conceived introduction into some of the most important fields of biomathematics. It aims mainly at undergraduates in mathematics but will be suitable for students who have passed a one-year course of calculus and some linear algebra. … Each chapter starts with a biological motivation and an introduction of the basic biology required.” (R. Bürger, Monatshefte für Mathematik, Vol. 169 (2), February, 2013)Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Biology
Book Subtitle: An Introduction with Maple and Matlab
Authors: Ronald W. Shonkwiler, James Herod
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-0-387-70984-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-70983-3Published: 21 August 2009
Softcover ISBN: 978-1-4899-8281-0Published: 20 October 2014
eBook ISBN: 978-0-387-70984-0Published: 04 August 2009
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 2
Number of Pages: XIII, 551
Additional Information: Originally published by Birkhäuser Boston, 1996
Topics: Life Sciences, general, Mathematical and Computational Biology, Computer Appl. in Life Sciences, Probability Theory and Stochastic Processes, Applications of Mathematics, Computer Applications