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.
Emerging over the past ten years from a set of post-structuralist theoretical lineages, non-representational theories are having a major impact within Human Geography. Non-representational theorisation and research has opened up new sets of problematics around the body, practice and performativity and inspired new ways of doing and writing human geography that aim to engage with the taking-place of everyday life. Drawing together a range of innovative contributions from leading writers, this is the first book to provide an extensive and in-depth overview of non-representational theories The End Of The Rainbow : How Educating for Happiness - Not Money - Would Transform Our Schools free download pdf and human geography. The work addresses the core themes of this still-developing field, demonstrates the implications of non-representational theories for many aspects of human geographic thought and practice, and highlights areas of emergent critical debate. The collection is structured around four thematic sections - Life, Representation, Ethics and Politics - which explore the varied relations between non-representational theories and contemporary human geography.
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Author: A. M. Yaglom
Number of Pages: 223 pages
Published Date: 01 Dec 1987
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486655376
Download Link: Click Here
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