Differential Equations and Their Applications: An Introduction to Applied Mathematics

By: Braun, MartinMaterial type: TextTextSeries: Texts in applied mathematics, 11Publication details: New York : Springer-Verlag, ©1993Edition: 4th edDescription: 578 pages : illustrationsISBN: 9780387978949 ; 0387978941 ; 9783540978947; 3540978941 DDC classification: 515.35
Contents:
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 -- 6. Sturm-Liouville boundary value problems -- A. Some simple facts concerning functions of several variables -- B. Sequences and series -- C. Programs.
Summary: Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.
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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 --
6. Sturm-Liouville boundary value problems --
A. Some simple facts concerning functions of several variables --
B. Sequences and series --
C. Programs.

Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.

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