Differential Equations and Their Applications: An Introduction to Applied Mathematics

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Martin Braun

Differential Equations and Their Applications

An Introduction to Applied Mathematics

Martin Braun

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English

Springer-Verlag New York Inc.
10 September 1992

Mathematics & Sciences; Calculus & mathematical analysis; Mathematical physics

Series: Applied Mathematical Sciences

There are three major changes in the Third Edition of Differential Equations and Their Applications. First, we have completely rewritten the section on singular solutions of differential equations. A new section, 2.8.1, dealing with Euler equations has been added, and this section is used to motivate a greatly expanded treatment of singular equations in sections 2.8.2 and 2.8.3. Our second major change is the addition of a new section, 4.9, dealing with bifurcation theory, a subject of much current interest. We felt it desirable to give the reader a brief but nontrivial introduction to this important topic. Our third major change is in Section 2.6, where we have switched to the metric system of units. This change was requested by many of our readers. In addition to the above changes, we have updated the material on population models, and have revised the exercises in this section. Minor editorial changes have also been made throughout the text. New York City Martin Braun Nooember, 1982 Preface to the First Edition This textbook is a unique blend of the theory of differential equations and their exciting application to ""real world"" problems. First, and foremost, it is a rigorous study of ordinary differential equations and can be fully understood by anyone who has completed one year of calculus. However, in addition to the traditional applications, it also contains many exciting ""real life"" problems. These applications are completely self contained.

By: Martin Braun
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 3rd ed. 1983
Volume: 15
Dimensions: Height: 235mm, Width: 155mm, Spine: 29mm
Weight: 854g
ISBN: 9780387979380
ISBN 10: 0387979387
Series: Applied Mathematical Sciences
Pages: 559
Publication Date: 10 September 1992
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1 First-order differential equations.- 2 Second-order linear differential equations.- 3 Systems of differential equations.- 4 Qualitative theory of differential equations.- 5 Separation of variables and Fourier series.- Appendix A Some simple facts concerning functions of several variables.- Appendix B Sequences and series.- Appendix C Introduction to APL.- Answers to odd-numbered exercises.