A Mathematical Gift, III

A Mathematical Gift, III PDF

Author: Koji Shiga

Publisher: American Mathematical Society

Published: 2005-07-18

Total Pages: 148

ISBN-13: 9780821832844

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This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".

A Mathematical Gift, II

A Mathematical Gift, II PDF

Author: Kenji Ueno

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 148

ISBN-13: 9780821832837

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Three volumes originating from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students.

A Mathematical Gift, II

A Mathematical Gift, II PDF

Author: Kenji Ueno

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 141

ISBN-13: 0821832832

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Three volumes originating from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students.

A Mathematical Gift, Volume 1-3

A Mathematical Gift, Volume 1-3 PDF

Author: Morita Shigeyuki

Publisher: American Mathematical Soc.

Published: 2005-06-30

Total Pages: 0

ISBN-13: 9780821838594

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This three-volume set addresses the interplay between topology, functions, geometry, and algebra. Bringing the beauty and fun of mathematics to the classroom, the authors offer serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. It is suitable for advanced high-school students, graduate students, and researchers. The three-volume set includes A Mathematical Gift I, II, and III.

A Mathematical Gift, III

A Mathematical Gift, III PDF

Author: Koji Shiga

Publisher: American Mathematical Society

Published: 2005-07-18

Total Pages: 141

ISBN-13: 0821832840

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This book brings the beauty and fun of mathematics to the classroom. It offers serious mathematics in a lively, reader-friendly style. Included are exercises and many figures illustrating the main concepts. The first chapter talks about the theory of manifolds. It includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form).The second chapter discusses the notion of the area of a figure on the plane and the volume of a solid body in space. It includes the proof of the Bolyai-Gerwien theorem about scissors-congruent polynomials and Dehn's solution of the Third Hilbert Problem. This is the third volume originating from a series of lectures given at Kyoto University (Japan). It is suitable for classroom use for high school mathematics teachers and for undergraduate mathematics courses in the sciences and liberal arts. The first and second volumes are available as Volume 19 and Volume 20 in the AMS series, ""Mathematical World"".

A Century of Mathematics in America

A Century of Mathematics in America PDF

Author: Peter L. Duren

Publisher: Springer Science & Business

Published: 1988

Total Pages: 692

ISBN-13: 9780821801369

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Part of the A Century of Mathematics in America collection, this book contains articles that describe the mathematics and the mathematical personalities in some of the nations' prominent departments: Johns Hopkins, Clark, Columbia, MIT, Michigan, Texas, and the Institute for Advanced Study.

Gems in Experimental Mathematics

Gems in Experimental Mathematics PDF

Author: Tewodros Amdeberhan

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 426

ISBN-13: 0821848690

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These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.

An Epsilon of Room, II

An Epsilon of Room, II PDF

Author: Terence Tao

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 258

ISBN-13: 0821852809

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A step-by-step guide to successfully transforming any organization It is well recognized that succeeding at innovation is fundamental in today's hyper-competitive global marketplace. It is the only way to outperform current and emerging competitors sustainably. But what we call "innovation" is messy and difficult and too often lacks the rigor and discipline of other management processes. "The Innovator's Field Guide: Market Tested Methods and Frameworks to Help You Meet Your Innovation Challenges" changes that. It is a practical guide that moves beyond the "why" to the "how" of making innovation happen, for leaders and practitioners inside organizations of all sizes. Written by two pioneers in the field of embedding innovation in organization, "The Innovator's Field Guide" focuses on the most pressing innovation problems and specific challenges innovation leaders will face and offers concrete solutions, tools, and methods to overcome them.Each chapter describes a specific innovation challenge and details proven ways to address that challengeIncludes practical ideas, techniques, and leading practicesDescribes common obstacles and offers practical solutions Any leader or professional who needs concrete solutions--right now--to the critical challenges of innovation will find invaluable aid in the practical, easy-to-understand, and market-tested approaches of "The Innovator's Field Guide."

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