Problems in applied mathematics: selections from SIAM review

Murray S. Klamkin9780898712599, 0898712599

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.

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Table of contents :
Problems in Applied Mathematics:Selections from SIAM Review……Page 1
Preface……Page 6
Contents……Page 10
1.MECHANICS……Page 28
2.ELECTRICAL RESISTANCE*……Page 61
3.PROBABILITY……Page 75
4.COMBINATORICS……Page 134
5.SERIES……Page 180
6.SPECIAL FUNCTIONS……Page 221
7.ORDINARY DIFFERENTIAL EQUATIONS……Page 239
8.PARTIAL DIFFERENTIAL EQUATIONS……Page 267
9.DEFINITE INTEGRALS……Page 279
10.INTEGRAL EQUATIONS……Page 310
11.MATRICES AND DETERMINANTS……Page 321
12.NUMERICAL APPROXIMATIONS AND ASYMPTOTIC EXPANSIONS……Page 356
13.INEQUALITIES……Page 383
14.OPTIMIZATION……Page 452
15.GRAPH THEORY……Page 494
16.GEOMETRY……Page 505
17.POLYNOMIALS……Page 548
18.SIMULTANEOUS EQUATIONS……Page 564
19.IDENTITIES……Page 582
20.ZEROS……Page 591
21.FUNCTIONAL EQUATIONS……Page 596
22.MISCELLANEOUS……Page 600
APPENDIX……Page 612