Hilbert-Courant

Hilbert-Courant

Author: Constance Reid

Publisher: Springer Science & Business Media

Published: 1986-05-22

Total Pages: 620

ISBN-13: 9780387962566

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I am very pleased that my books about David Hilbert, published in 1970, and Richard Courant, published in 1976, are now being issued by Springer Verlag in a single volume. I have always felt that they belonged together, Courant being, as I have written, the natural and necessary sequel to Hilbert the rest of the story. To make the two volumes more compatible when published as one, we have combined and brought up to date the indexes of names and dates. U nfortu nately we have had to omit Hermann Weyl's article on "David Hilbert and his mathematical work," but the interested reader can always find it in the hard back edition of Hilbert and in Weyl's collected papers. At the request of a number of readers we have included a listing of all of Hilbert's famous Paris problems. It was, of course, inevitable that we would give the resulting joint volume the title Hilbert-Courant.


Methods of Mathematical Physics

Methods of Mathematical Physics

Author: Richard Courant

Publisher: John Wiley & Sons

Published: 2008-09-26

Total Pages: 852

ISBN-13: 3527617248

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Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's final revision of 1961.


Hilbert

Hilbert

Author: Constance Reid

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 264

ISBN-13: 1461207398

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"It presents a sensitive portrait of a great human being. It describes accurately and intelligibly on a nontechnical level the world of mathematical ideas in which Hilbert created his masterpieces. And it illuminates the background of German social history against which the drama of Hilberts life was played. Beyond this, it is a poem in praise of mathematics." -SCIENCE


Courant

Courant

Author: Constance Reid

Publisher: Springer Science & Business Media

Published: 1996-04-19

Total Pages: 408

ISBN-13: 9780387946702

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On April 1, 1933, he was an internationally famous and influential German professor, the director of the first institute in the world devoted entirely to mathematics, a trusted adviser of the education ministry, a successful author and editor, a man surrounded by a mathematical family of gifted students. Eight days later, he was dismissed from his position by the Nazis. Through friends, he obtained a modest position in the United States at a university with no mathematical reputation whatsoever.


Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach

Author: Percy Deift

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 273

ISBN-13: 0821826956

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This volume expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models. The central question was the following: Why do very general ensembles of random n times n matrices exhibit universal behavior as n > infinity? The main ingredient in the proof is the steepest descent method for oscillatory Riemann-Hilbert problems. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.


Hilbert

Hilbert

Author: Constance Reid

Publisher: Springer-Verlag

Published: 2013-07-02

Total Pages: 303

ISBN-13: 3662286157

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Introduction to Calculus and Analysis II/1

Introduction to Calculus and Analysis II/1

Author: Richard Courant

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 585

ISBN-13: 3642571492

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From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991


Differential and Integral Calculus, Volume 1

Differential and Integral Calculus, Volume 1

Author: Richard Courant

Publisher: John Wiley & Sons

Published: 1988-02-23

Total Pages: 638

ISBN-13: 9780471608424

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The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.