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.
Author: Howard Eves
Publisher:
ISBN: 9780883853009
Category : Mathematics
Languages : en
Pages : 270
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Book Description
Author: Howard Eves
Publisher: American Mathematical Soc.
ISBN: 1614442150
Category : Mathematics
Languages : en
Pages : 278
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Book Description
Author: Howard Eves
Publisher:
ISBN: 9780883853009
Category :
Languages : en
Pages : 263
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Book Description
Author: Ross Honsberger
Publisher: American Mathematical Soc.
ISBN: 1470451697
Category : Education
Languages : en
Pages : 264
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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: 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: C. Ray Rosentrater
Publisher: American Mathematical Soc.
ISBN: 1614442177
Category : Mathematics
Languages : en
Pages : 343
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Book Description
Historical introduction -- The Riemann integral -- The Darboux integral -- A functional zoo -- Another approach : measure theory -- The Lebesgue integral -- The Gauge integral -- Stieltjes-type integrals and extensions -- A look back -- Afterword : L2 spaces and Fourier series
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: 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: Ross Honsberger
Publisher: American Mathematical Soc.
ISBN: 1470458403
Category : Education
Languages : en
Pages : 275
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Book Description
Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included.
