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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: Ross Honsberger
Publisher: Mathematical Association of America
ISBN: 9780883853306
Category : Mathematics
Languages : en
Pages : 319
Get Book Here
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: Andrew J. Simoson
Publisher: American Mathematical Soc.
ISBN: 1470458454
Category : Mathematics
Languages : en
Pages : 397
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Book Description
Author: Steven G. Krantz
Publisher: MAA
ISBN: 0883853574
Category : Mathematics
Languages : en
Pages : 151
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Book Description
This book is a quick but precise and careful introduction to the subject of functional analysis. It covers the basic topics that can be found in a basic graduate analysis text. But it also covers more sophisticated topics such as spectral theory, convexity, and fixed-point theorems. A special feature of the book is that it contains a great many examples and even some applications. It concludes with a statement and proof of Lomonosov's dramatic result about invariant subspaces.
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: Keith Kendig
Publisher: MAA
ISBN: 0883853531
Category : Mathematics
Languages : en
Pages : 211
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Book Description
An accessible introduction to the plane algebraic curves that also serves as a natural entry point to algebraic geometry. This book can be used for an undergraduate course, or as a companion to algebraic geometry at graduate level.
Author: William Dunham
Publisher: Cambridge University Press
ISBN: 9780883853283
Category : Biography & Autobiography
Languages : en
Pages : 220
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Book Description
This book examines the huge scope of mathematical areas explored and developed by Leonhard Euler.
Author: Liong-shin Hahn
Publisher: 國立臺灣大學出版中心
ISBN: 9860311684
Category : Mathematics
Languages : en
Pages : 645
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Book Description
The author's purpose is to share the thrills and excitement of ingenious solutions to intriguing elementary problems that he has had the good fortune to have conceived in the pursuit of his passion over many years. His satisfaction lies in the beauty of these gems, not in the incidental fact that they happen to be his own work. A wonderful solution is a glorious thing, whoever might have thought of it, and the author has worked diligently to make easy reading of the joy and delights of his often hard-won success. In this volume the author collected his treatments of over a hundred problems from the treasure trove of Professor Honsberger. "This is a book for everyone who delights in the richness, beauty, and excitement of the wonderful ideas that abide in the realm of elementary mathematics. I feel it is only fair to caution you that this book can lead to a deeper appreciation and love of mathematics.
Author: Steven G. Krantz
Publisher: American Mathematical Soc.
ISBN: 0883859173
Category : Mathematics
Languages : en
Pages : 121
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Book Description
A concise introduction to topology to ground students in the basic ideas and techniques of the subject.
Author: Steven G. Krantz
Publisher: MAA
ISBN: 9780883853443
Category : Mathematics
Languages : en
Pages : 176
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Book Description
A concise guide to support an undergraduate real analysis course.
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.
