Mathematics of Choice: Or, How to Count Without Counting (New Mathematical Library S., Band 15) - Softcover
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A study of combinatorics--formulas used in solving problems that ask how many
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Mathematics of Choice: Or, How to Count Without Counting
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Mathematical Assn of Amer, 1975
ISBN 10: 0883856158
ISBN 13: 9780883856154
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Mathematics of Choice: Or, How to Count Without Counting
Verlag:
Mathematical Assn of Amer, 1975
ISBN 10: 0883856158
ISBN 13: 9780883856154
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Mathematics of Choice: Or, How to Count Without Counting Niven, Ivan Morton
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Mathematical Assn of Amer, 1975
ISBN 10: 0883856158
ISBN 13: 9780883856154
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New Mathematical Library 15 Mathematics of Choice or How to Count Without Counting
Verlag:
The Mathematical Association of America, Washington, 1975
ISBN 10: 0883856158
ISBN 13: 9780883856154
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Trade Paperback. Zustand: Good. George H. Buehler (illustrator). First Edition 9th Printing. Previous Owner Markings (Including Highlighting); Repaired; Light Creasing on Front, Rear Covers; Front, Rear Covers, Spine Lightly Chipped; Discolouration Where Tape Was Once Affixed (Inside Rear Cover); Spine Moderately Cocked; Edges Heavily Soiled; Slight Yellowing Due to Age. COVER DESIGN SUGGESTED BY: Arlys Stritzel. CONTENTS: Preface; Chapter 1 Introductory Questions; Chapter 2 Permutations and Combinations; Chapter 3 Combinations and Binomial Coefficients; Chapter 4 Some Special Distributions; Chapter 5 The Inclusion-Exclusion Principle; Probability; Chapter 6 Partitions of an Integer; Chapter 7 Generating Polynomials; Chapter 8 Distribution of Objects Not All Alike; Chapter 9 Configuration Problems; Chapter 10 Mathematical Induction; Chapter 11 Interpretations of a Non-Associative Product; Miscellaneous Problems; Answers and Solutions; Bibliography; Index. SYNOPSIS: The mathematical subject introduced in this book is known as combinatorics. In addition to is use in coping with questions such as "how many ways are there of changing a dollar bill?" (which the author answers fully in Chapter 7), combinatorial thinking enters most elegantly into the proofs of many theorems in various branches of mathematics. In elementary mathematics, the proof of the binomial theorem offers a striking example of the power of combinatorial arguments. Knowledge of permutations, combinations and related problems in the art of counting is also extremely helpful in the study of probability theory. Familiarity with the rudiments of algebra is the only mathematical preparation needed to read Professor Niven's book. Numerous problems and their solutions assist the reader to maser the art of counting without counting. Ivan Niven was born in Vancouver, Canada, in 1915. He attended the University of British Columbia and the University of Chicago. Following a research appointment at the University of Pennsylvania, he taught at the University of Illinois and Purdue University and lectured for two summers at Stanford. He is at present Professor of Mathematics at the University of Oregon. Professor Niven has served as an editor of the American Mathematical Monthly and the Pacific Journal of Mathematics, and as a member of the advisory panels in mathematics of the Office of Naval Research and the National Science Foundation. In addition to numerous research articles, he has written five other books, including the first monograph in this series, Numbers: Rational and Irrational. Size: 8vo - over 7¾" - 9¾" tall. Bestandsnummer des Verkäufers 003213
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