1990 / xxv + 588 pages / Softcover / ISBN: 978-0-898712-59-9 / List Price $83.00 / SIAM Member Price $58.10 / Order Code OT20
"This outstanding collection of instructive problems is organized into twenty-two broad sections such as probability, combinatorics, series, special functions, and so forth. Most of the problems include motivational material describing how the problem arose; the solutions, some of which approach the status of short papers, are accessible to a wide audience (say at the level of the American Mathematical Monthly). Solutions generally include references to further literature and pertinent comments by Klamkin. There is something in this volume for everyone, and is a welcome addition to the problems literature." —American Mathematics Monthly, August/September 1991.
People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems—solved or unsolved—illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959.
The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry.
Problems in Applied Mathematics contains a broad range of material designed to appeal to a large audience including, but not limited to, students, teachers, professional mathematicians, and engineers from elementary through advanced levels. It is an excellent tool for anyone preparing for the Mathematical Modelling Competition or the Putnam Intercollegiate Mathematical Competition.
Chapter 1: Mechanics; Chapter 2: Electrical Resistance; Chapter 3: Probability; Chapter 4: Combinatorics; Chapter 5: Series; Chapter 6: Special Functions; Chapter 7: Ordinary Differential Equations; Chapter 8: Partial Differential Equations; Chapter 9: Definite Integrals; Chapter 10: Integral Equations; Chapter 11: Matrices and Determinants; Chapter 12: Numerical A; Chapter 13: Inequalities; Chapter 14: Optimization; Chapter 15: Graph Theory; Chapter 16: Geometry; Chapter 17: Polynomials; Chapter 18: Simultaneous Equations; Chapter 19: Identities; Chapter 20: Zeros; Chapter 21: Functional Equations; Chapter 22: Miscellaneous; Appendix.
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