By A. M. Yaglom,I. M. Yaglom
Designed for complex highschool scholars, undergraduates, graduate scholars, arithmetic lecturers, and any lover of mathematical demanding situations, this two-volume set bargains a extensive spectrum of tough difficulties — starting from particularly basic to tremendous tricky. certainly, a few rank probably the greatest achievements of exceptional mathematicians.
Translated from a widely known Russian paintings entitled Non-Elementary difficulties in an undemanding Exposition, the manager objective of the ebook is to acquaint the readers with various new mathematical proof, rules, and techniques. And whereas the vast majority of the issues symbolize questions in greater ("non-elementary") arithmetic, such a lot might be solved with basic arithmetic. in truth, for the main half, no wisdom of arithmetic past an excellent highschool direction is required.
Volume One comprises a hundred difficulties, with special ideas, all facing chance thought and combinatorial research. subject matters comprise the illustration of integers as sums and items, combinatorial difficulties at the chessboard, geometric difficulties on combinatorial research, difficulties at the binomial coefficients, difficulties on computing possibilities, experiments with infinitely many attainable results, and experiments with a continuum of attainable outcomes.
Volume comprises seventy four difficulties from a number of branches of arithmetic, facing such issues as issues and contours, lattices of issues within the airplane, topology, convex polygons, distribution of gadgets, nondecimal counting, idea of primes, and extra. In either volumes the statements of the issues are given first, by means of a bit giving entire options. solutions and tricks are given on the finish of the book.
Ideal as a textual content, for self-study, or as a operating source for a arithmetic membership, this wide-ranging compilation bargains 174 rigorously selected difficulties that would try out the mathematical acuity and problem-solving abilities of just about any pupil, instructor, or mathematician.
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Designed for complicated highschool scholars, undergraduates, graduate scholars, arithmetic lecturers, and any lover of mathematical demanding situations, this two-volume set deals a wide spectrum of tough difficulties — starting from particularly basic to tremendous tricky. certainly, a few rank among the best achievements of exceptional mathematicians.
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Extra info for Challenging Mathematical Problems with Elementary Solutions, Vol. I: 001 (Dover Books on Mathematics)
Challenging Mathematical Problems with Elementary Solutions, Vol. I: 001 (Dover Books on Mathematics) by A. M. Yaglom,I. M. Yaglom