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Krantz S.G. — Techniques of Problem Solving
Krantz S.G. — Techniques of Problem Solving

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Название: Techniques of Problem Solving

Автор: Krantz S.G.

Аннотация:

The purpose of this book is to teach the basic principles of problem solving, including both mathematical and nonmathematical problems. This book will help students to translate verbal discussions into analytical data; learn problem-solving methods for attacking collections of analytical questions or data; build a personal arsenal of solutions and internalized problem-solving techniques; and become "armed problem solvers", ready to battle with a variety of puzzles in different areas of life. Taking a direct and practical approach to the subject matter, Krantz's book stands apart from others like it in that it incorporates exercises throughout the text. After many solved problems are given, a "Challenge Problem" is presented. Additional problems are included for readers to tackle at the end of each chapter. There are more than 350 problems in all. A Solutions Manual to most end-of-chapter exercises is available.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 465

Добавлена в каталог: 13.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Absorbing barrier      153
Addressing letters      130
Admissible graph      23
All triangles are isosceles      300
Analytic geometry      71
Angle in a regular polygon      62
Angle in a triangle      65
Angle subtending a semi-circle      73
Appel, K. and Haken, W.      121
Area of a triangle in terms of its sides      78
Arithmetic mean      272
Arrow's Theorem      353
Avagadro's number      344
Average families      170
Bachet's problem      254
Band around the earth      217 218
Bayes's theorem      341
Bernoulli — Euler problem      146
Bertrand's paradox      98
Birthday coincidence      143
Blackjack      354
Bridge hands      18
Buffon Needle Problem      149
Caesar cipher      313
Cancer, testing for      340
Chess      260
Choose function      15
Chord of a planar region      94
Coloring problem      122
Complete graph      92 94
Conditional probability      339
Continuity method      324
Conway, J. H. sequence      310
Counting monomials      19
Counting pairs      14
Counting permutations      14
Counting problems      3
Counting subsets      23
Crypto-arithmetic problems      202
Denver boot      359
Domino stacking      215
Efron, Bradley      352
Electoral College      353
Encryption problems      313
Envelope addressing      145
Equichordal point      94 96
Erdoes, Paul      230 311
Euler, formula      24 44
Euler, Leonhard      196
Euler, number e      346
Expected value      155
Extremal problem      88
Extreme points of a convex body      111
Feynman problem      355
Fibonacci sequence      159
Four color problem      121
Fuel saving devices      322
Game of life      259
Game theory      183
Gauss's problem      6
Generating function      161
Geometric mean      272
Geometric series      158
Goffman, Casper      230
Ham sandwich problem      324 354
Hand shaking      4 7 40
Heawood formula      126
Human blood in the United States      350
Jeans, James      343
Julius Caesar      343
Kakeya needle problem      124
Kant's clock      349
Larger than average families      338
Latin square      258
Lattice points in the plane      65
Law of Cosines      70
Law of Sines      70
Liars and truth tellers      30 31
Line passing through just two points      88
Magic square      235
Magic square, even order      245
Magic square, periodicity      240
Manhole cover      355
Marriage problem      163
Martini, mixing a      323
Mathematical induction      21
Maximizing area      52
Monkeys pounding typewriters      358
Monty Hall problem      32
Morra      231
Mt. Fuji      347
Nevada, area of      310
Newton, Isaac problem      288
Palindrome      200
Parity problems      35
Pascal, Blaise      172
Pennsylvania State Lottery      232
Pigeonhole Principle      28
Pitofsky family      358
Platonic solids      104 113
Poker hands      18
Ponzi scheme      352
Primes, infinitely many      34 35
Prisoner's Dilemma      183 310
Problems involving weighings      247
Pseudo-checkers      190
Pulling a dollar bill      316
Pythagorean, theorem      68
Pythagorean, triples      292
Random, pole cutting      141
Random, walk      153
Rectangle inscribed in a curve      84
Ringel, G. and Youngs, J.W.T.      126
River crossing problems      295 296
Ruin problem      155
Ruler and compass constructions      49 56 59
Russell, Bertrand      229
Seven Bridges of Konigsberg      196
Spanish-American War      342
Sununu's geometry problem      14 116
Sylvester's theorem      126
Telescoping sum      268
Tower of Hanoi      188
Trigonometry      279
Turton's proof that $\pi/4\;=\;\pi/3$      304
Two Up      231
Vigenere cipher      314
Volume of the unit ball in space      218
Von Neumann problem      217
Voting schemes      336
Weighing of pearls      247 250 251
Yarborough      232
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