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Differential Equations and Their Applications: An Introduction to Applied Mathematics /
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Catalogue Information
Field name
Details
Dewey Class
515
Title
Differential Equations and Their Applications ([EBook] :) : An Introduction to Applied Mathematics / / by Martin Braun.
Author
Braun, Martin
Other name(s)
SpringerLink (Online service)
Edition statement
3rd Edition.
Publication
New York, NY : : Springer New York : : Imprint: Springer, , 1983.
Physical Details
XIII, 546 p. : online resource.
Series
Applied mathematical sciences
0066-5452 ; ; 15
ISBN
9781468492293
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4684-9229-3
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Numerical and Computational Physics
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Physics
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Authors:
Braun, Martin
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied mathematical sciences
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Classification:
515
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