The Bieberbach Conjecture

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827421
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Bieberbach Conjecture by : Sheng Gong

Download or read book The Bieberbach Conjecture written by Sheng Gong and published by American Mathematical Soc.. This book was released on 1999-07-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concise Calculus

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813222638
Total Pages : 691 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Concise Calculus by : Sheng Gong

Download or read book Concise Calculus written by Sheng Gong and published by World Scientific Publishing Company. This book was released on 2017-02-03 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sources of Hyperbolic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821809228
Total Pages : 172 pages
Book Rating : 4.8/5 (92 download)

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Book Synopsis Sources of Hyperbolic Geometry by : John Stillwell

Download or read book Sources of Hyperbolic Geometry written by John Stillwell and published by American Mathematical Soc.. This book was released on 1996 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics.

Geometric Calculus

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Publisher : Springer Science & Business Media
ISBN 13 : 1461221323
Total Pages : 160 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometric Calculus by : Giuseppe Peano

Download or read book Geometric Calculus written by Giuseppe Peano and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calcolo Geometrico, G. Peano's first publication in mathematical logic, is a model of expository writing, with a significant impact on 20th century mathematics. Kannenberg's lucid and crisp translation, Geometric Calculus, will appeal to historians of mathematics, researchers, graduate students, and general readers interested in the foundations of mathematics and the development of a formal logical language. The book has never been reprinted in its entirety, and only two chapters have ever been translated into English. Readers of this valuable translation will gain insight into the work of a distinguished mathematician and founder of mathematical logic.

Introduction to Option Pricing Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205115
Total Pages : 266 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Option Pricing Theory by : Gopinath Kallianpur

Download or read book Introduction to Option Pricing Theory written by Gopinath Kallianpur and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of seminal works by R. Merton, and F. Black and M. Scholes, stochastic processes have assumed an increasingly important role in the development of the mathematical theory of finance. This work examines, in some detail, that part of stochastic finance pertaining to option pricing theory. Thus the exposition is confined to areas of stochastic finance that are relevant to the theory, omitting such topics as futures and term-structure. This self-contained work begins with five introductory chapters on stochastic analysis, making it accessible to readers with little or no prior knowledge of stochastic processes or stochastic analysis. These chapters cover the essentials of Ito's theory of stochastic integration, integration with respect to semimartingales, Girsanov's Theorem, and a brief introduction to stochastic differential equations. Subsequent chapters treat more specialized topics, including option pricing in discrete time, continuous time trading, arbitrage, complete markets, European options (Black and Scholes Theory), American options, Russian options, discrete approximations, and asset pricing with stochastic volatility. In several chapters, new results are presented. A unique feature of the book is its emphasis on arbitrage, in particular, the relationship between arbitrage and equivalent martingale measures (EMM), and the derivation of necessary and sufficient conditions for no arbitrage (NA). {\it Introduction to Option Pricing Theory} is intended for students and researchers in statistics, applied mathematics, business, or economics, who have a background in measure theory and have completed probability theory at the intermediate level. The work lends itself to self-study, as well as to a one-semester course at the graduate level.

Regulators in Analysis, Geometry and Number Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817641153
Total Pages : 352 pages
Book Rating : 4.6/5 (411 download)

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Book Synopsis Regulators in Analysis, Geometry and Number Theory by : Alexander Reznikov

Download or read book Regulators in Analysis, Geometry and Number Theory written by Alexander Reznikov and published by Springer Science & Business Media. This book was released on 2000 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This work is an outgrowth of a conference held at the Hebrew University in Jerusalem on Regulators in Analysis, Geometry and Number Theory, and should appeal to a broad audience of graduate students and research mathematicians."--BOOK JACKET.

Once Upon A Number

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Publisher : Basic Books
ISBN 13 : 0786723998
Total Pages : 230 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Once Upon A Number by : John Allen Paulos

Download or read book Once Upon A Number written by John Allen Paulos and published by Basic Books. This book was released on 2008-08-04 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: What two things could be more different than numbers and stories? Numbers are abstract, certain, and eternal, but to most of us somewhat dry and bloodless. Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and numbers aren't as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means -- by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms. Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they're stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber's thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America's favorite mathematician.

Complex Analysis and Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 1475797710
Total Pages : 418 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Complex Analysis and Geometry by : Vincenzo Ancona

Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.

Calculus with Analytic Geometry

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Publisher :
ISBN 13 : 9780395889022
Total Pages : 0 pages
Book Rating : 4.8/5 (89 download)

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Book Synopsis Calculus with Analytic Geometry by : Ron Larson

Download or read book Calculus with Analytic Geometry written by Ron Larson and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This traditional text offers a balanced approach that combines the theoretical instruction of calculus with the best aspects of reform, including creative teaching and learning techniques such as the integration of technology, the use of real-life applications, and mathematical models. The Calculus with Analytic Geometry Alternate, 6/e, offers a late approach to trigonometry for those instructors who wish to introduce it later in their courses.

Topics in Analytic Number Theory

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Publisher :
ISBN 13 : 9781258656614
Total Pages : 108 pages
Book Rating : 4.6/5 (566 download)

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Book Synopsis Topics in Analytic Number Theory by : Serge Lang

Download or read book Topics in Analytic Number Theory written by Serge Lang and published by . This book was released on 2013-04 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Field Theory for Mathematicians

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Publisher : Cambridge University Press
ISBN 13 : 052163265X
Total Pages : 720 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Quantum Field Theory for Mathematicians by : Robin Ticciati

Download or read book Quantum Field Theory for Mathematicians written by Robin Ticciati and published by Cambridge University Press. This book was released on 1999-06-13 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This should be a useful reference for anybody with an interest in quantum theory.

Selected Papers

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Publisher : Springer
ISBN 13 : 038796326X
Total Pages : 648 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Selected Papers by : Kiyosi Ito

Download or read book Selected Papers written by Kiyosi Ito and published by Springer. This book was released on 1987-01-01 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central and distinguishing feature shared by all the contributions made by K. Ito is the extraordinary insight which they convey. Reading his papers, one should try to picture the intellectual setting in which he was working. At the time when he was a student in Tokyo during the late 1930s, probability theory had only recently entered the age of continuous-time stochastic processes: N. Wiener had accomplished his amazing construction little more than a decade earlier (Wiener, N. , "Differential space," J. Math. Phys. 2, (1923)), Levy had hardly begun the mysterious web he was to eventually weave out of Wiener's P~!hs, the generalizations started by Kolmogorov (Kol mogorov, A. N. , "Uber die analytische Methoden in der Wahrscheinlichkeitsrechnung," Math Ann. 104 (1931)) and continued by Feller (Feller, W. , "Zur Theorie der stochastischen Prozesse," Math Ann. 113, (1936)) appeared to have little if anything to do with probability theory, and the technical measure-theoretic tours de force of J. L. Doob (Doob, J. L. , "Stochastic processes depending on a continuous parameter, " TAMS 42 (1937)) still appeared impregnable to all but the most erudite. Thus, even at the established mathematical centers in Russia, Western Europe, and America, the theory of stochastic processes was still in its infancy and the student who was asked to learn the subject had better be one who was ready to test his mettle.

Selected Papers I

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Publisher : Springer
ISBN 13 :
Total Pages : 526 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Selected Papers I by : Shiing-shen Chern

Download or read book Selected Papers I written by Shiing-shen Chern and published by Springer. This book was released on 1978-12-09 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recognition of professor Shiing-Shen Chern’s long and distinguished service to mathematics and to the University of California, the geometers at Berkeley held an International Symposium in Global Analysis and Global Geometry in his honor in June 1979. The output of this Symposium was published in a series of three separate volumes, comprising approximately a third of Professor Chern’s total publications up to 1979. Later, a fourth volume was published, focusing on papers written during the Eighties. This first volume comprises selected papers written between 1932 and 1975. In making the selections, Professor Chern gave preference to shorter and lesser-known papers.