An Introduction to Delay Differential Equations with Applications to the Life Sciences by Hal Smith
This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.-
Mathematical Models in Population Biology and Epidemiology
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Introduction to the Foundations of Applied Mathematics
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Introduction to Partial Differential Equations
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Differential Equations and Their Applications
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Ordinary Differential Equations: Basics and Beyond
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Mathematical Systems Theory II
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Numerical Methods for Elliptic and Parabolic Partial Differential Equations
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Stochastic Tools in Mathematics and Science
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A Mathematical Introduction to Fluid Mechanics
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Differential Equations: A Dynamical Systems Approach
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Partial Differential Equations with Numerical Methods
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An Introduction to Infinite-Dimensional Linear Systems Theory
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Introductory Functional Analysis
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Numerical Partial Differential Equations
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Mathematical Control Theory
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A Course on Integral Equations
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Topology, Geometry and Gauge fields
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Numerical Methods for Fluid Dynamics
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Introduction to Applied Mathematics
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Dynamics and Bifurcations
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Computational Electromagnetics
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Introduction to the Theory of Stability
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Waves and Compressible Flow
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Calculus of Variations
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An Introduction to Modeling Neuronal Dynamics
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Approximation Theory and Algorithms for Data Analysis
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Mathematical Systems Theory I
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Mathematical Systems Theory III
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Ergodic Theory
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Introduction to Mechanics and Symmetry
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Analytical and Computational Methods of Advanced Engineering Mathematics
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Integral Transforms and Their Applications
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Modeling and Simulation in Medicine and the Life Sciences
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Numerical Partial Differential Equations: Finite Difference Methods
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Geometric Control of Mechanical Systems
From the reviews:
“This text is designed to be an introduction to the theory of differential equations with delay for advanced undergraduates and beginning graduate students” (William J. Satzer, The Mathematical Association of America, November, 2010)
“This textbook would serve as an excellent reference text to help a mathematics faculty develop an introductory mathematics course on DDEs … . This textbook clearly places the study of DDEs firmly within the standard curriculum of a graduate program in mathematics and well within the scope of a strong final-year undergraduate mathematics major. … this text will have a positive impact on biomathematics education and be a welcome addition. We certainly find it so.” (John G. Milton and Michael C. Mackey, Mathematical Reviews, Issue 2011 k)
“This book gives a first introduction to delay differential equations that is intended for mathematics students. Thanks to the emphasis on applications to life sciences, it can be recommended also to scientists from this discipline that wish to get a deeper understanding of the theoretical aspects for this widely used class of models.” (Matthias Wolfrum, Zentralblatt MATH, Vol. 1227, 2012)
| SKU | Unavailable |
| ISBN 13 | 9781461426974 |
| ISBN 10 | 1461426979 |
| Title | An Introduction to Delay Differential Equations with Applications to the Life Sciences |
| Author | Hal Smith |
| Series | Texts In Applied Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2012-12-01 |
| Number of pages | 172 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |