Whats Happening In The Mathematical Sciences

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on 1994 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a new class of solitons, the contributions wavelets are making to solving scientific problems, how mathematics is improving medical imaging, and Andrew Wiles's work on Fermat's "Last Theorem". This work is aimed at undergraduates, graduate students and mathematics clubs.

Download or read book What's Happening in the Mathematical Sciences written by Dana Mackenzie and published by American Mathematical Soc.. This book was released on with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book What's Happening in the Mathematical Sciences written by and published by . This book was released on 1993 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document consists of the first two volumes of a new annual serial devoted to surveying some of the important developments in the mathematical sciences in the previous year or so. Mathematics is constantly growing and changing, reaching out to other areas of science and helping to solve some of the major problems facing society. Volumes 1 and 2 survey some of the important developments in the mathematical sciences over the past year or so. The contents of volume 1 are: (1) "Equations Come to Life in Mathematical Biology"; (2) "New Computer Insights from 'Transparent' Proofs"; (3) "You Can't Always Hear the Shape of a Drum"; (4) "Environmentally Sound Mathematics"; (5) "Disproving the Obvious in Higher Dimensions"; (6) "Collaboration Closes in on Closed Geodesics"; (7)"Crystal Clear Computations"; (8) "Camp Geometry"; (9) "Number Theorists Uncover a Slew of Prime Impostors"; and (10) "Map-Coloring Theorists Look at New Worlds." The contents of volume 2 are: (1) "A Truly Remarkable Proof" (Fermat's Last Theorem); (2) "From Knot to Unknot"; (3) "New Wave Mathematics"; (4) "Mathematical Insights for Medical Imaging"; (5) "Parlez-vous Wavelets?" (6) "Random Algorithms Leave Little to Chance"; (7) "Soap Solution"; (8) "Straightening Out Nonlinear Codes"; (9) "Quite Easily Done"; and (10) "(Vector) Field of Dreams." (MKR)

Download or read book What's Happening in the Mathematical Sciences, Volume 3 written by Barry Cipra and published by American Mathematical Soc.. This book was released on 1993 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book What's Happening in the Mathematical Sciences, Volume 4 written by Barry Cipra and published by American Mathematical Soc.. This book was released on 1999 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book What's Happening in the Mathematical Sciences, Volume 10 written by Dana Mackenzie and published by American Mathematical Soc.. This book was released on 2015-12-18 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.