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Original Essays | September 15, 2014

Lois Leveen: IMG Forsooth Me Not: Shakespeare, Juliet, Her Nurse, and a Novel



There's this writer, William Shakespeare. Perhaps you've heard of him. He wrote this play, Romeo and Juliet. Maybe you've heard of it as well. It's... Continue »
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    Lois Leveen 9781476757445

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Applied Mathematics

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Applied Mathematics Cover

 

Synopses & Reviews

Publisher Comments:

Explore the latest concepts and applications in mathematical methods and modeling

The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. Readers are introduced to key ideas in math-ematical methods and modeling, with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation.

Readers will discover many special features in this new and revised edition, such as:

  • A new chapter on discrete-time models, including a section devoted to stochastic models
  • A thorough revision of the text's 300 exercises, incorporating contemporary problemsand methods
  • Additional material and applications of linear transformations in Rn (matrices, eigenvalues, etc.) to compare to the integral equation results
  • New material on mathematical biology, including age-structured models, diffusion and advection, and biological modeling, including MATLAB programs

Moreover, the text has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations, and the second section focuses on partial differential equations and their applications. Exercises vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving.

With its new exercises and structure, this book is highly recommended for upper-undergraduateand beginning graduate students in mathematics, engineering, and natural sciences. Scientists and engineers will find the book to be an excellent choice for reference and self-study.

Book News Annotation:

With updates to assist readers with modeling and analyzing natural, social and technological processes, Logan (mathematics, U. of Nebraska-Lincoln) introduces key ideas in mathematical methods and modeling with an emphasis on linkages between mathematics and the natural and applied sciences. He includes a new chapter on discrete-time models (including stochastic models) and has updated the 300 exercises as he covers dimensional analysis, scaling, differential equations, perturbation methods, calculus of variations, Eigenvalue problems, integral equations, Green's function, discrete models, partial differential equations, wave phenomena, and mathematical models of continua. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This updated edition of its popular predecessor strikes a balance between the mathematical aspects of the subject and its origin in empirics. Applied Mathematics offers, at an elementary level, some of the current topics in applied mathematics such as singular perturbation, nonlinear waves, bifurcation, and the numerical solution of partial differential equations. New material includes a discussion on discrete models, more references to mathematical biology in the text and exercises, and a new chapter on stochastic models including sections on probability, stochastic processes, and stochastic differential equations and difference equations.

About the Author

J. DAVID LOGAN, PhD, is Willa Cather Professor of Mathematics at the University of Nebraska–Lincoln. Dr. Logan is the author of several books in applied mathematics, including An Introduction to Nonlinear Partial Differential Equations, published by Wiley. He is an Editor of Communications on Applied Nonlinear Analysis and has authored numerous research papers in the areas of mathematical physics, combustion and detonation theory, hydrogeology, and mathematical ecology.

Table of Contents

Preface.

1. Dimensional Analysis, Scaling, & Differential Equations.

2. Perturbation Methods.

3. Calculus of Variations.

4. Eigenvalue Problems, Integral Equations, and Green's Functions.

5. Discrete Models.

6. Partial Differential Equations.

7. Wave Phenomena.

8. Mathematical Models of Continua.

Index.

Product Details

ISBN:
9780471746621
Author:
Logan, J David
Publisher:
Wiley-Interscience
Author:
Logan, J. David
Subject:
Mathematics
Subject:
Applied
Subject:
Mathematics-Applied
Subject:
Applied mathematics
Copyright:
Edition Number:
3
Publication Date:
20060421
Binding:
Electronic book text in proprietary or open standard format
Grade Level:
General/trade
Language:
English
Illustrations:
Y
Pages:
552
Dimensions:
9.30x6.40x1.13 in. 1.91 lbs.

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Applied Mathematics Used Hardcover
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Product details 552 pages Wiley-Interscience - English 9780471746621 Reviews:
"Synopsis" by , This updated edition of its popular predecessor strikes a balance between the mathematical aspects of the subject and its origin in empirics. Applied Mathematics offers, at an elementary level, some of the current topics in applied mathematics such as singular perturbation, nonlinear waves, bifurcation, and the numerical solution of partial differential equations. New material includes a discussion on discrete models, more references to mathematical biology in the text and exercises, and a new chapter on stochastic models including sections on probability, stochastic processes, and stochastic differential equations and difference equations.
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