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Mathematical Miniatures
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Book Synopsis Mathematical Miniatures by : Svetoslav Savchev
Download or read book Mathematical Miniatures written by Svetoslav Savchev and published by MAA. This book was released on 2003-02-27 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rather than simply a collection of problems, this book can be thought of as both a tool chest of mathematical techniques and an anthology of mathematical verse. The authors have grouped problems so as to illustrate and highlight a number of important techniques and have provided enlightening solutions in all cases. As well as this there are essays on topics that are not only beautiful but also useful. The essays are diverse and enlivened by fresh, non-standard ideas. This book not only teaches techniques but gives a flavour of their past, present and possible future implications. It is a collection of miniature mathematical works in the fullest sense.
Book Synopsis Thirty-three Miniatures by : Jiří Matoušek
Download or read book Thirty-three Miniatures written by Jiří Matoušek and published by American Mathematical Soc.. This book was released on 2010 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)
Book Synopsis Library of Congress Subject Headings by : Library of Congress
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 1992 with total page 1358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Library of Congress Subject Headings by : Library of Congress. Cataloging Policy and Support Office
Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2004 with total page 1392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Library of Congress Subject Headings: F-O by : Library of Congress. Subject Cataloging Division
Download or read book Library of Congress Subject Headings: F-O written by Library of Congress. Subject Cataloging Division and published by . This book was released on 1989 with total page 1534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Delights by : Ross Honsberger
Download or read book Mathematical Delights written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 2019-06-25 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.
Book Synopsis Problem Posing and Solving for Mathematically Gifted and Interested Students by : Deniz Sarikaya
Download or read book Problem Posing and Solving for Mathematically Gifted and Interested Students written by Deniz Sarikaya and published by Springer Nature. This book was released on 2023-10-31 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. The contributions particularly address where such problems come from, what properties they should have, and which differences between school mathematics and more complex kinds of mathematics exist. These perspectives are examined internationally, allowing for cross-national insights.
Author :National Research Council (U.S.). Highway Research Board. Annual Meeting Publisher : ISBN 13 : Total Pages :878 pages Book Rating :4.:/5 (29 download)
Book Synopsis Proceedings of the ... Annual Meeting by : National Research Council (U.S.). Highway Research Board. Annual Meeting
Download or read book Proceedings of the ... Annual Meeting written by National Research Council (U.S.). Highway Research Board. Annual Meeting and published by . This book was released on 1956 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis USA and International Mathematical Olympiads, 2003 by : Titu Andreescu
Download or read book USA and International Mathematical Olympiads, 2003 written by Titu Andreescu and published by MAA. This book was released on 2004 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually since 1976. This is the fourth volume in that series. The IMO is a world mathematics competition for high school students that takes place each year in a different country. Students from all over the world participate in this competition. These Olympiad style exams consist of several challenging essay-type problems. Although a correct and complete solution to an Olympiad problem often requires deep analysis and careful argument, the problems require no more than a solid background in high school mathematics coupled with a dose of mathematical ingenuity. There are helpful hints provided for each of the problems. These hints often help lead the student to a solution of the problem. Complete solutions to each of the problems is also included, and many of the problems are presented together with a collection of remarkable solutions developed by the examination committees, contestants and experts, during or after the contest. For each problem with multiple solutions, some common crucial results are presented at the beginning of these solutions.
Book Synopsis Mathematical Problem Posing by : Lukas Baumanns
Download or read book Mathematical Problem Posing written by Lukas Baumanns and published by Springer Nature. This book was released on 2022-11-19 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical problem posing as the substantive formulation of mathematical problems is an activity that lies at the heart of mathematics. In recent years, research in mathematics education has endeavored to gain insights into problem posing—conceptually as well as empirically. In problem-posing research, there has been a focus on analyzing products, that is, the posed problems. Insights into the processes that lead to these products, however, have so far been lacking. Within four journal articles, summarized in this cumulative dissertation, the author attempts to contribute to the understanding of problem-posing processes through conceptual considerations and empirical investigations. The conceptual part consists of a conducted systematic literature review to investigate problem-posing situations and problem-posing activities. The studies in the empirical part deal with the analyses of problem-posing processes of pre-service mathematics teachers from a macroscopic and microscopic perspective. The aim is to develop coherent and meaningful conceptual perspectives for analyzing empirical observations of problem-posing processes.
Book Synopsis Mathematical Diamonds by : Ross Honsberger
Download or read book Mathematical Diamonds written by Ross Honsberger and published by American Mathematical Soc.. This book was released on 2003-12-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ross Honsberger has done it again. He has brought together another wonderful collection of elementary mathematical problems and their solutions abounding in striking surprises and brilliant ideas that reflect the beauty of mathematics. Many of these problems come from mathematical journals. Others come from various mathematical competitions such as the Tournament of the Towns, the Balkan Olympiad, the American Invitational Mathematics Exam, and the Putnam exam. And, of course, there is a problem suggested by Paul Erdos. This book is ideal for students, teachers and anyone interested in recreational mathematics.
Book Synopsis USA and International Mathematical Olympiads, 2005 by : Zuming Feng
Download or read book USA and International Mathematical Olympiads, 2005 written by Zuming Feng and published by MAA. This book was released on 2006 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually by the MAA American Mathematics Competitions since 1976. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics.
Book Synopsis 100 Great Problems of Elementary Mathematics by : Heinrich Dörrie
Download or read book 100 Great Problems of Elementary Mathematics written by Heinrich Dörrie and published by Courier Corporation. This book was released on 2013-04-09 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.
Book Synopsis USA and International Mathematical Olympiads 2004 by : Titu Andreescu
Download or read book USA and International Mathematical Olympiads 2004 written by Titu Andreescu and published by MAA. This book was released on 2005 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olypiad (IMO), have been published annually since 1976. The IMO is the world mathematics championship for high school students. It takes place every year in a different country. The IMO competitions help to discover, challenge, and encourage mathematically gifted young people all over the world. In addition to presenting their own carefully written solutions to the problems presented here, the editors have provided remarkable solutions developed by the examination committees, contestants, and experts, during and after the contests. They also provide a comprehensive guide to other materials on advances problem-solving. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics outside the school curriculum and to deepen their knowledge of mathematics.
Book Synopsis Mathematical and Algorithmic Puzzles by : Pramod Ganapathi
Download or read book Mathematical and Algorithmic Puzzles written by Pramod Ganapathi and published by . This book was released on 2024-05-29 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents serious mathematical and algorithmic puzzles that are mostly counterintuitive. The presented puzzles are simultaneously entertaining, challenging, intriguing, and haunting. This book introduces its readers to counterintuitive mathematical ideas and revolutionary algorithmic insights from a wide variety of topics. The presented solutions that are discovered by many mathematicians and computer scientists are highly counterintuitive and show supreme mathematical beauty. These counterintuitive solutions are intriguing to the degree that they shatter our preconceived notions, shake our long-held belief systems, debunk our fundamental intuitions, and finally rob us of sleep and haunt us for a lifetime. Multiple ways of attacking the same puzzle are presented which teach the application of elegant problem-solving strategies.
Book Synopsis Exercises in (Mathematical) Style by : John McCleary
Download or read book Exercises in (Mathematical) Style written by John McCleary and published by American Mathematical Soc.. This book was released on 2017 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of the well-known numbers, the binomial coefficients. The author follows the example of Raymond Queneau's Exercises in Style. Offering the reader 99 stories in various styles. The book celebrates the joy of mathematics and the joy of writing mathematics by exploring the rich properties of this familiar collection of numbers. For any one interested in mathematics, from high school students on up.
Book Synopsis Mathematical Methods in Science by : George Pólya
Download or read book Mathematical Methods in Science written by George Pólya and published by Cambridge University Press. This book was released on 1977 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book captures some of Pólya's excitement and vision. Its distinctive feature is the stress on the history of certain elementary chapters of science; these can be a source of enjoyment and deeper understanding of mathematics even for beginners who have little, or perhaps no, knowledge of physics.