Mathematical Chestnuts from around the World PDF Download

Author: Ross Honsberger
Publisher: American Mathematical Soc.
ISBN: 1470457237
Category : Mathematics
Languages : en
Pages : 220

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Book Description
A collection of miscellanious gems from elementary mathematics, ranging from the latest International Olympiads all the way back to Euclid. Each one casts light on a striking result or a brilliant device, and any reader with only a modest mathematical background will appreciate the ingenious solutions that are also presented.

Author: Ross Honsberger
Publisher: Mathematical Association of America
ISBN: 9780883853306
Category : Mathematics
Languages : en
Pages : 319

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Book Description
Ross Honsberger has compiled another collection of miscellaneous gems from elementary mathematics, this time from sources the world over, and ranging from the latest International Olympiads all the way back to Euclid. Each one casts light on a striking result or a brilliant device and any reader with only a modest mathematical background will appreciate the ingenious solutions that are also presented.

Author: Claudi Alsina
Publisher: The Mathematical Association of America
ISBN: 0883853582
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. Courses in solid geometry have largely disappeared from American high schools and colleges. The authors are convinced that a mathematical exploration of three-dimensional geometry merits some attention in today’s curriculum. A Mathematical Space Odyssey: Solid Geometry in the 21st Century is devoted to presenting techniques for proving a variety of mathematical results in three-dimensional space, techniques that may improve one’s ability to think visually. Special attention is given to the classical icons of solid geometry (prisms, pyramids, platonic solids, cones, cylinders, and spheres) and many new and classical results: Cavalieri’s principle, Commandino’s theorem, de Gua’s theorem, Prince Rupert’s cube, the Menger sponge, the Schwarz lantern, Euler’s rotation theorem, the Loomis-Whitney inequality, Pythagorean theorems in three dimensions, etc. The authors devote a chapter to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. In addition to many figures illustrating theorems and their proofs, a selection of photographs of three-dimensional works of art and architecture are included. Each chapter includes a selection of Challenges for the reader to explore further properties and applications. It concludes with solutions to all the Challenges in the book, references, and a complete index. Readers should be familiar with high school algebra, plane and analytic geometry, and trigonometry. While brief appearances of calculus do occur, no knowledge of calculus is necessary to enjoy this book.

Author: Claudi Alsina
Publisher: American Mathematical Soc.
ISBN: 1470456168
Category : Education
Languages : en
Pages : 347

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Book Description
The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.

Author: Joseph A. Gallian
Publisher: American Mathematical Soc.
ISBN: 1614442002
Category : Mathematics
Languages : en
Pages : 329

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Book Description
An accessible compendium of essays on the broad theme of mathematics and sports.

Author: Ross Honsberger
Publisher: American Mathematical Soc.
ISBN: 147045842X
Category : Mathematics
Languages : en
Pages : 241

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Book Description
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.

Author: Marco Bramanti
Publisher: Springer
ISBN: 3319913557
Category : Education
Languages : en
Pages : 402

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Book Description
This book is dedicated to preparing prospective college students for the study of mathematics. It can be used at the end of high school or during the first year of college, for personal study or for introductory courses. It aims to set a meeting between two relatives who rarely speak to each other: the Mathematics of Beauty, which shows up in some popular books and films, and the Mathematics of Toil, which is widely known. Toil can be overcome through an appropriate method of work. Beauty will be found in the achievement of a way of thinking. The first part concerns the mathematical language: the expressions “for all”, “there exists”, “implies”, “is false”, ...; what is a proof by contradiction; how to use indices, sums, induction. The second part tackles specific difficulties: to study a definition, to understand an idea and apply it, to fix a slightly wrong argument, to discuss suggestions, to explain a proof. The third part presents customary techniques and points of view in college mathematics. The reader can choose one of three difficulty levels (A, B, C).

Author: Dan Kalman
Publisher: American Mathematical Soc.
ISBN: 1470458446
Category : Mathematics
Languages : en
Pages : 265

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Book Description

Author: Ross Honsberger
Publisher: American Mathematical Soc.
ISBN: 1470451697
Category : Education
Languages : en
Pages : 252

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Book Description
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.

Author: Howard Whitley Eves
Publisher: MAA
ISBN: 9780883853108
Category : History
Languages : en
Pages : 292

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Book Description
[V.2] This is a companion to Great moments in mathematics before 1650. It can be appreciated by anyone with a working knowledge of beginning deferential and integral calculus. Includes: the birth of mathematical probability, the invention of the differential calculus, the discovery of non-Euclidean geometry, the discovery of noncommutative algebra, and the resolution of the four-color problem.