Studies in Lie Theory

Studies in Lie Theory
Author: Anthony Joseph
Publisher: Springer Science & Business Media
Total Pages: 526
Release: 2006-01-26
Genre: Mathematics
ISBN: 9780817643423
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Contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and the geometric Langlands program

The Bieberbach Conjecture

The Bieberbach Conjecture
Author: Sheng Gong
Publisher: American Mathematical Soc.
Total Pages: 218
Release: 1999-07-12
Genre: Education
ISBN: 0821827421
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In 1919, Bieberbach posed a seemingly simple conjecture. That ``simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.

Ancient Rome

Ancient Rome
Author: R. Scott Smith
Publisher: Hackett Publishing
Total Pages: 582
Release: 2014-03-15
Genre: History
ISBN: 1624661165
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"Terrific . . . exactly the sort of collection we have long needed: one offering a wide range of texts, both literary and documentary, and that--with the inclusion of Sulpicia and Perpetua--allows students to hear the voices of actual women from the ancient world. The translations themselves are fluid; the inclusion of long extracts allows students to sink their teeth into material in ways not possible with traditional source books. The anonymous texts, inscriptions, and other non-literary material topically arranged in the 'Documentary' section will enable students to see how the documentary evidence supplements or undermines the views advanced in the literary texts. This is a book that should be of great use to anyone teaching a survey of the history of Ancient Rome or a Roman Civilization course. I look forward to teaching with this book which is, I think, the best source book I have seen for the way we teach these days." --David Potter, University of Michigan

Godel

Godel
Author: John L. Casti
Publisher:
Total Pages: 222
Release: 2009-04-21
Genre: Science
ISBN: 0786747609
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Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.

Concise Calculus

Concise Calculus
Author: Sheng Gong
Publisher: World Scientific Publishing Company
Total Pages: 691
Release: 2017-02-03
Genre: Mathematics
ISBN: 9813222638
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Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

Moving Beyond Myths

Moving Beyond Myths
Author: National Research Council
Publisher: National Academies Press
Total Pages: 76
Release: 1991-02-01
Genre: Education
ISBN: 0309044898
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Over the next decade, the mathematical community and the nation's colleges and unversities must restructure fundamentally the culture, content, and context of undergraduate mathematics. Acknowledging the weaknesses in the present college mathematics curriculum and the ways in which it is taught, this book cites exemplary programs that point the way toward achieving the same world-wide preeminence for mathematics education that the United States enjoys in mathematical research. Moving Beyond Myths sets forth ambitious goals for collegiate mathematics by the year 2000 and provides a sweeping plan of action to accomplish them. It calls on mathematics faculty, their departments, their professional societies, colleges and universities, and government agencies to do their parts to implement the plan, help the public move beyond commonly held myths about mathematics, and bring about a revitalization of undergraduate mathematics.