What's Happening in the Mathematical Sciences

What's Happening in the Mathematical Sciences

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.


The Cauchy Transform

The Cauchy Transform

Author: Joseph A. Cima

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 286

ISBN-13: 0821838717

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The Cauchy transform of a measure on the circle is a subject of both classical and current interest with a sizable literature. This book is a thorough, well-documented, and readable survey of this literature and includes full proofs of the main results of the subject. This book also covers more recent perturbation theory as covered by Clark, Poltoratski, and Aleksandrov and contains an in-depth treatment of Clark measures.


A Guide to Plane Algebraic Curves

A Guide to Plane Algebraic Curves

Author: Keith Kendig

Publisher: MAA

Published: 2011

Total Pages: 211

ISBN-13: 0883853531

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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.


Mathematical Publishing

Mathematical Publishing

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 324

ISBN-13: 9780821872598

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Mathematicians are expected to publish their work: in journals, conference proceedings, and books. It is vital to advancing their careers. Later, some are asked to become editors. However, most mathematicians are trained to do mathematics, not to publish it. But here, finally, for graduate students and researchers interested in publishing their work, Steven G. Krantz, the respected author of several "how-to" guides in mathematics, shares his experience as an author, editor, editorial board member, and independent publisher. This new volume is an informative, comprehensive guidebook to publishing mathematics. Krantz describes both the general setting of mathematical publishing and the specifics about all the various publishing situations mathematicians may encounter. As with his other books, Krantz's style is engaging and frank. He gives advice on how to get your book published, how to get organized as an editor, what to do when things go wrong, and much more. He describes the people, the language (including a glossary), and the process of publishing both books and journals. Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 130 research articles and 45 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS. He is also the founder of the Journal of Geometric Analysis. Other titles available from the AMS by Steven G. Krantz are How to Teach Mathematics, A Primer of Mathematical Writing, A Mathematician's Survival Guide, and Techniques of Problem Solving.


Jefferson at Monticello

Jefferson at Monticello

Author: James A. Bear (Jr.)

Publisher: University of Virginia Press

Published: 1967

Total Pages: 172

ISBN-13: 9780813900223

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Monticello was the primary plantation of Thomas Jefferson, the third president of the United States, who began designing Monticello after inheriting land from his father at age 26.


Enumerative Geometry and String Theory

Enumerative Geometry and String Theory

Author: Sheldon Katz

Publisher: American Mathematical Soc.

Published: 2006

Total Pages: 226

ISBN-13: 0821836870

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Perhaps the most famous example of how ideas from modern physics have revolutionized mathematics is the way string theory has led to an overhaul of enumerative geometry, an area of mathematics that started in the eighteen hundreds. Century-old problems of enumerating geometric configurations have now been solved using new and deep mathematical techniques inspired by physics! The book begins with an insightful introduction to enumerative geometry. From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses on intermediate topics which are essential tools for the student of modern mathematics, such as cohomology and other topics in geometry. The physics content assumes nothing beyond a first undergraduate course. The focus is on explaining the action principle in physics, the idea of string theory, and how these directly lead to questions in geometry. Once these topics are in place, the connection between physics and enumerative geometry is made with the introduction of topological quantum field theory and quantum cohomology.


Hollywood Highbrow

Hollywood Highbrow

Author: Shyon Baumann

Publisher: Princeton University Press

Published: 2018-06-05

Total Pages: 242

ISBN-13: 0691187282

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Today's moviegoers and critics generally consider some Hollywood products--even some blockbusters--to be legitimate works of art. But during the first half century of motion pictures very few Americans would have thought to call an American movie "art." Up through the 1950s, American movies were regarded as a form of popular, even lower-class, entertainment. By the 1960s and 1970s, however, viewers were regularly judging Hollywood films by artistic criteria previously applied only to high art forms. In Hollywood Highbrow, Shyon Baumann for the first time tells how social and cultural forces radically changed the public's perceptions of American movies just as those forces were radically changing the movies themselves. The development in the United States of an appreciation of film as an art was, Baumann shows, the product of large changes in Hollywood and American society as a whole. With the postwar rise of television, American movie audiences shrank dramatically and Hollywood responded by appealing to richer and more educated viewers. Around the same time, European ideas about the director as artist, an easing of censorship, and the development of art-house cinemas, film festivals, and the academic field of film studies encouraged the idea that some American movies--and not just European ones--deserved to be considered art.