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Dover Books on Mathematics Ser.: Challenging Mathematical Problems with Elementary Solutions by I. M. Yaglom and A. M. Yaglom (1987, Trade Paperback)
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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486655369
ISBN-139780486655369
eBay Product ID (ePID)596515
Product Key Features
Number of Pages256 Pages
Publication NameChallenging Mathematical Problems with Elementary Solutions
LanguageEnglish
Publication Year1987
SubjectProbability & Statistics / General, Study & Teaching, Combinatorics
FeaturesReprint
TypeTextbook
AuthorI. M. Yaglom, A. M. Yaglom
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight11.1 Oz
Item Length8.5 in
Item Width5.5 in
Additional Product Features
Intended AudienceCollege Audience
LCCN87-027298
Dewey Edition19
Series Volume Number1
Number of Volumes2 vols.
Volume NumberVol. 1
IllustratedYes
Dewey Decimal511/.6
Edition DescriptionReprint
Table Of ContentI. Introductory problems II. The representation of integers as sums and products III. Combinatorial problems on the chessboard IV. Geometric problems on combinatorial analysis V. Problems on computing probabilities VI. Problems on the binomial coefficients VII. Experiments with infinitely many possible outcomes VIII. Experiments with a continuum of possible outcomes
SynopsisVolume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. Most can be solved with elementary mathematics. Complete solutions., Volume I of a two-part series, this book features a broad spectrum of 100 challenging problems related to probability theory and combinatorial analysis. The problems, most of which can be solved with elementary mathematics, range from relatively simple to extremely difficult. Suitable for students, teachers, and any lover of mathematics. Complete solutions., Designed for advanced high school students, undergraduates, graduate students, mathematics teachers, and any lover of mathematical challenges, this two-volume set offers a broad spectrum of challenging problems -- ranging from relatively simple to extremely difficult. Indeed, some rank among the finest achievements of outstanding mathematicians. Translated from a well-known Russian work entitled Non-Elementary Problems in an Elementary Exposition, the chief aim of the book is to acquaint the readers with a variety of new mathematical facts, ideas, and methods. And while the majority of the problems represent questions in higher ("non-elementary") mathematics, most can be solved with elementary mathematics. In fact, for the most part, no knowledge of mathematics beyond a good high school course is required. Volume One contains 100 problems, with detailed solutions, all dealing with probability theory and combinatorial analysis. Topics include the representation of integers as sums and products, combinatorial problems on the chessboard, geometric problems on combinatorial analysis, problems on the binomial coefficients, problems on computing probabilities, experiments with infinitely many possible outcomes, and experiments with a continuum of possible outcomes. Volume Two contains 74 problems from various branches of mathematics, dealing with such topics as points and lines, lattices of points in the plane, topology, convex polygons, distribution of objects, nondecimal counting, theory of primes, and more. In both volumes the statements of the problems are given first, followed by a section giving complete solutions. Answers and hints are given at the end of the book. Ideal as a text, for self-study, or as a working resource for a mathematics club, this wide-ranging compilation offers 174 carefully chosen problems that will test the mathematical acuity and problem-solving skills of almost any student, teacher, or mathematician.
LC Classification NumberQA164.I1613 1987
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