Author: Barry Cipra
Publisher: American Mathematical Soc.
ISBN: 9780821803554
Category : Mathematics
Languages : en
Pages : 124
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Book Description
Beautifully produced and marvelously written this volume contains 10 articles on recent developments in the field. In an engaging, reader-friendly style, Cipra explores topics ranging from Fermat's Last Theorem to Computational Fluid Dynamics. The volumes in this series are intended to highlight the many roles mathematics plays in the modern world. Volume 3 includes articles on: a new mathematical methods that's taking Wall Street by storm, "Ultra-parallel" supercomputing with DNA, and how a mathematician found the famous flaw in the Pentium chip. Unique in kind, lively in style, Volume 3 of What's Happening in the Mathematical Sciences is a delight to read and a valuable source of information.
Author: Barry Cipra
Publisher: American Mathematical Soc.
ISBN: 9780821890431
Category : Science
Languages : en
Pages : 108
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Book Description
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.
Author: Dana Mackenzie
Publisher: American Mathematical Soc.
ISBN: 9780821885970
Category : Mathematics
Languages : en
Pages : 140
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Book Description
A new twist in knot theory -- Error-term roulette and the Sato-Tate conjecture -- The fifty-one percent solution -- Dominos, anyone? -- No seeing is believing -- Getting with the (Mori) program -- The book that time couldn't erase -- Charting a 248-dimensional world -- Compressed sensing makes every pixel count.
Author: Barry Cipra
Publisher: American Mathematical Soc.
ISBN: 9780821807668
Category : Mathematics
Languages : en
Pages : 140
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Book Description
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.
Author: Nicholas J. Higham
Publisher: SIAM
ISBN: 0898714206
Category : Mathematics
Languages : en
Pages : 304
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Book Description
Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.
Author: Dana Mackenzie
Publisher: American Mathematical Soc.
ISBN: 1470422042
Category : Mathematics
Languages : en
Pages : 119
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Book Description
What's Happening in the Mathematical Sciences is a collection of articles highlighting some of the most recent developments in mathematics. These include important achievements in pure mathematics, as well as its fascinating applications. On the pure mathematics side, "Prime Clusters and Gaps: Out-Experting the Experts" talks about new insights into the distribution of prime numbers, the perpetual source of new problems, and new results. Recently, several mathematicians (including Yitang Zhang and James Maynard) significantly improved our knowledge of the distribution of prime numbers. Advances in the so-called Kadison-Singer problem and its applications in signal processing algorithms used to analyze and synthesize signals are described in "The Kadison-Singer Problem: A Fine Balance". "Quod Erat Demonstrandum" presents two examples of perseverance in mathematicians' pursuit of truth using, in particular, computers to verify their arguments. And "Following in Sherlock Holmes' Bike Tracks" shows how an episode in one of Sir Arthur Conan Doyle's stories about Sherlock Holmes naturally led to very interesting problems and results in the theory of completely integrable systems. On the applied side, "Climate Past, Present, and Future" shows the importance of mathematics in the study of climate change and global warming phenomena. Mathematical models help researchers to understand the past, present, and future changes of climate, and to analyze their consequences. "The Truth Shall Set Your Fee" talks about algorithms of information exchange in cyberspace. Economists have known for a long time that trust is a cornerstone of commerce, and this becomes even more important nowadays when a lot of transactions, big and small, are done over the Internet. Recent efforts of theoretical computer scientists led to the development of so-called "rational protocols" for information exchange, where the parties in the information exchange process find that lies do not pay off. Over the last 100 years many professional mathematicians and devoted amateurs contributed to the problem of finding polygons that can tile the plane, e.g., used as floor tiles in large rooms and walls. Despite all of these efforts, the search is not yet complete, as the very recent discovery of a new plane-tiling pentagon shows in "A Pentagonal Search Pays Off". Mathematics can benefit coaches and players in some of the most popular team sports as shown in "The Brave New World of Sports Analytics". The increased ability to collect and process statistics, big data, or "analytics" has completely changed the world of sports analytics. The use of modern methods of statistical modeling allows coaches and players to create much more detailed game plans as well as create many new ways of measuring a player's value. Finally, "Origami: Unfolding the Future" talks about the ancient Japanese paper-folding art and origami's unexpected connections to a variety of areas including mathematics, technology, and education.
Author: Eric W. Weisstein
Publisher: CRC Press
ISBN: 1420035223
Category : Mathematics
Languages : en
Pages : 3253
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Book Description
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
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1884
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Book Description
Author: Gunter M. Ziegler
Publisher: CRC Press
ISBN: 1466564911
Category : Mathematics
Languages : en
Pages : 228
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Book Description
The subject of mathematics is not something distant, strange, and abstract that you can only learn about—and often dislike—in school. It is in everyday situations, such as housekeeping, communications, traffic, and weather reports. Taking you on a trip into the world of mathematics, Do I Count? Stories from Mathematics describes in a clear and captivating way the people behind the numbers and the places where mathematics is made. Written by top scientist and engaging storyteller Günter M. Ziegler and translated by Thomas von Foerster, the book presents mathematics and mathematicians in a manner that you have not previously encountered. It guides you on a scenic tour through the field, pointing out which beds were useful in constructing which theorems and which notebooks list the prizes for solving particular problems. Forgoing esoteric areas, the text relates mathematics to celebrities, history, travel, politics, science and technology, weather, clever puzzles, and the future. Can bees count? Is 13 bad luck? Are there equations for everything? What’s the real practical value of the Pythagorean Theorem? Are there Sudoku puzzles with fewer than 17 entries and just one solution? Where and how do mathematicians work? Who invented proofs and why do we need them? Why is there no Nobel Prize for mathematics? What kind of life did Paul Erdős lead? Find out the answers to these and other questions in this entertaining book of stories. You’ll see that everyone counts, but no computation is needed.
Author: T.V. Gopal
Publisher: Springer
ISBN: 3319559117
Category : Mathematics
Languages : en
Pages : 722
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Book Description
This book constitutes the refereed proceedings of the 14th Annual Conference on Theory and Applications of Models of Computation, TAMC 2017, held in Bern, Switzerland, in April 2017. The 45 revised full papers presented together with 4 invited papers were carefully reviewed and selected from 103 submissions. The main themes of TAMC 2017 have been computability, computer science logic, complexity, algorithms, and models of computation and systems theory.
