01202nam a2200181 a 4500020001900000020001600019020001800035020001600053082001600069100001900085245009000104250001200194260004400206300003300250490003800283505038600321520031300707 a9780387978949 a0387978941 a9783540978947 a3540978941 a515.35bBRA aBraun, Martin aDifferential Equations and Their Applications: An Introduction to Applied Mathematics a4th ed. aNew York : bSpringer-Verlag, c©1993. a578 pages :billustrations ; aTexts in applied mathematics, 11. a1. 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. aUsed 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.