Modeling Differential Equations in Biology

Name: Modeling Differential Equations in Biology
Price: 13.58 USD
Availability: InStock
ISBN: 9780521708432

ISBN-10: 0521708435

ISBN-13: 9780521708432

Edition: 2nd

Authors: Clifford Henry Taubes

List price: $74.99

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Description:

Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers. Necessary notions from linear algebra and partial differential equations are introduced as and when needed, and in the context of applications. Drawing on a very successful one-semester course at Harvard, this text aims to teach students in the life sciences how to use…

Book details

List price: $74.99
Edition: 2nd
Publisher: Cambridge University Press
Publication date: 1/17/2008
Binding: Paperback
Pages: 526
Size: 6.75" wide x 9.75" long x 1.00" tall
Weight: 2.266
Language: English




Introduction



Exponential Growth with Appendix on Taylor's Theorem



Introduction to Differential Equations



Stability in a One Component System



Systems of First Order Differential Equations



Phase Plane Analysis



Introduction to Vectors



Equilibrium in Two Component, Linear Systems



Stability in Non-Linear Systems



Non-linear Stability Again



Matrix Notation



Remarks about Australian Predators



Introduction to Advection



Diffusion Equations



Two Key Properties of the Advection and Diffusion Equations



The No Trawling Zone



Separation of Variables



The Diffusion Equation and Pattern Formation



Stability Criteria



Summary of Advection and Diffusion



Traveling Waves



Traveling Wave Velocities



Periodic Solutions



Fast and Slow



Estimating Elapsed Time



Switches



Testing for Periodicity



Causes of Chaos. Extra Exercises and Solutions


Index