What's Happening in the Mathematical Sciences

What's Happening in the Mathematical Sciences PDF

Author: Barry Cipra

Publisher: American Mathematical Soc.

Published:

Total Pages: 108

ISBN-13: 9780821890431

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Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Excursions in the History of Mathematics

Excursions in the History of Mathematics PDF

Author: Israel Kleiner

Publisher: Springer Science & Business Media

Published: 2012-02-02

Total Pages: 362

ISBN-13: 0817682686

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This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.

Count Down

Count Down PDF

Author: Steve Olson

Publisher: Houghton Mifflin Harcourt

Published: 2004

Total Pages: 264

ISBN-13: 9780618562121

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Each summer six math whizzes selected from nearly a half-million American teens compete against the world's best problem solvers at the International Mathematical Olympiad.Steve Olson followed the six 2001 contestants from the intense tryouts to the Olympiad's nail-biting final rounds to discover not only what drives these extraordinary kids but what makes them both unique and typical.In the process he provides fascinating insights into the science of intelligence and learning and, finally, the nature of genius.Brilliant, but defying all the math-nerd stereotypes, these teens want to excel in whatever piques their curiosity, and they are curious about almost everything - music, games, politics, sports, literature.One team member is ardent about both water polo and creative writing. Another plays four musical instruments.For fun and entertainment during breaks, the Olympians invent games of mind-boggling difficulty.Though driven by the glory of winning this ultimate math contest, they are in many ways not so different from other teenagers, finding pure joy in indulging their personal passions. Beyond the the Olympiad, Olson sheds light on many questions, from why Americans feel so queasy about math, to why so few girls compete in the subject, to whether or not talent is innate.Inside the cavernous gym where the competition takes place, Count Down uncovers a fascinating subculture and its engaging, driven inhabitants.

What's Happening in the Mathematical Sciences, Volume 4

What's Happening in the Mathematical Sciences, Volume 4 PDF

Author: Barry Cipra

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 140

ISBN-13: 9780821807668

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This volume is fourth in the series "What's Happening in the Mathematical Sciences". As the 20th century draws to a close, it presents the state of modern mathematics and its world-wide significance. It includes "Beetlemania: Chaos in Ecology", on evidence for chaotic dynamics in a population.

CRC Concise Encyclopedia of Mathematics

CRC Concise Encyclopedia of Mathematics PDF

Author: Eric W. Weisstein

Publisher: CRC Press

Published: 2002-12-12

Total Pages: 3253

ISBN-13: 1420035223

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Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

How Uncertainty-Related Ideas Can Provide Theoretical Explanation For Empirical Dependencies

How Uncertainty-Related Ideas Can Provide Theoretical Explanation For Empirical Dependencies PDF

Author: Martine Ceberio

Publisher: Springer Nature

Published: 2021-04-21

Total Pages: 151

ISBN-13: 3030653242

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This book shows how to provide uncertainty-related theoretical justification for empirical dependencies, on the examples from numerous application areas. Such justifications are needed, since without them, practitioners may be reluctant to use these dependencies: purely empirical formulas often turn out to hold only in some cases. Examples of new theoretical explanations range from fundamental physics (quark confinement, galaxy superclusters, etc.) and geophysics (earthquake analysis) to transportation and electrical engineering to computer science (image processing, quantum computing) and pedagogy (equity, effect of repetitions). The book is useful to students and specialists in the corresponding areas. Most of the examples use common general techniques, so the book is also useful to practitioners and researchers in other application areas who look for ways to provide theoretical justifications for their areas’ empirical dependencies.

What's Happening in the Mathematical Sciences

What's Happening in the Mathematical Sciences PDF

Author: Dana Mackenzie

Publisher: American Mathematical Soc.

Published: 2010-12-29

Total Pages: 137

ISBN-13: 0821849999

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This volume showcases the latest remarkable progress in pure and applied mathematics, written in an engaging style that conveys modern mathematics' thrill of discovery. Among the stories in this volume are several showing mathematics' significant role in current events, from the financial crisis to breast cancer screening. The book chronicles several important conjectures that mathematicians have settled in the past several years.

Instructional Units for Gifted and Talented Learners

Instructional Units for Gifted and Talented Learners PDF

Author: Texas Association for the Gifted and Talented

Publisher: PRUFROCK PRESS INC.

Published: 2004

Total Pages: 138

ISBN-13: 1593630174

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13 ready-to-use instructional units that were designed and tested by classroom teachers and aligned with established national standards; cover all the core academic areas for grades K-6.