The Mathematical Heritage Of Hermann Weyl

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The Mathematical Heritage of Hermann Weyl

Author : Raymond O'Neil Wells
Publisher : American Mathematical Soc.
ISBN 13 : 0821814826
Total Pages : 344 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Mathematical Heritage of Hermann Weyl by : Raymond O'Neil Wells

Download or read book The Mathematical Heritage of Hermann Weyl written by Raymond O'Neil Wells and published by American Mathematical Soc.. This book was released on 1988 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hermann Weyl was one of the most influential mathematicians of the twentieth century. Viewing mathematics as an organic whole rather than a collection of separate subjects, Weyl made profound contributions to a wide range of areas, including analysis, geometry, number theory, Lie groups, and mathematical physics, as well as the philosophy of science and of mathematics. The topics he chose to study, the lines of thought he initiated, and his general perspective on mathematics have proved remarkably fruitful and have formed the basis for some of the best of modern mathematical research. This volume contains the proceedings of the AMS Symposium on the Mathematical Heritage of Hermann Weyl, held in May 1987 at Duke University. In addition to honoring Weyl's great accomplishments in mathematics, the symposium also sought to stimulate the younger generation of mathematicians by highlighting the cohesive nature of modern mathematics as seen from Weyl's ideas. The symposium assembled a brilliant array of speakers and covered a wide range of topics. All of the papers are expository and will appeal to a broad audience of mathematicians, theoretical physicists, and other scientists.

Levels of Infinity

Author : Hermann Weyl
Publisher : Courier Corporation
ISBN 13 : 0486266931
Total Pages : 208 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Levels of Infinity by : Hermann Weyl

Download or read book Levels of Infinity written by Hermann Weyl and published by Courier Corporation. This book was released on 2013-09-26 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original anthology features less-technical essays discussing logic, topology, abstract algebra, relativity theory, and the works of David Hilbert. Most have been long unavailable or previously unpublished in book form. 2012 edition.

The Concept of a Riemann Surface

Author : Hermann Weyl
Publisher : Courier Corporation
ISBN 13 : 048613167X
Total Pages : 210 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Concept of a Riemann Surface by : Hermann Weyl

Download or read book The Concept of a Riemann Surface written by Hermann Weyl and published by Courier Corporation. This book was released on 2013-12-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

Mind and Nature

Author : Hermann Weyl
Publisher : University of Pennsylvania Press
ISBN 13 : 1512819328
Total Pages : 112 pages
Book Rating : 4.5/5 (128 download)

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Book Synopsis Mind and Nature by : Hermann Weyl

Download or read book Mind and Nature written by Hermann Weyl and published by University of Pennsylvania Press. This book was released on 2015-09-30 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new study of the mathematical-physical mode of cognition.

Algebraic Theory of Numbers

Author : Hermann Weyl
Publisher :
ISBN 13 : 9780691079080
Total Pages : 223 pages
Book Rating : 4.0/5 (79 download)

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Book Synopsis Algebraic Theory of Numbers by : Hermann Weyl

Download or read book Algebraic Theory of Numbers written by Hermann Weyl and published by . This book was released on 1954 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. Then follows the theory of divisibility, an introduction to p-adic numbers and their uses, and an extensive examination of algebraic number fields. First published in 1940, this work is a masterpiece of mathematical exposition. 30 photos.

A Celebration of the Mathematical Legacy of Raoul Bott

Author : Peter Robert Kotiuga
Publisher : American Mathematical Soc.
ISBN 13 : 082188381X
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Celebration of the Mathematical Legacy of Raoul Bott by : Peter Robert Kotiuga

Download or read book A Celebration of the Mathematical Legacy of Raoul Bott written by Peter Robert Kotiuga and published by American Mathematical Soc.. This book was released on 2010-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Heritage of Emmy Noether

Author : Mina Teicher
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Heritage of Emmy Noether by : Mina Teicher

Download or read book The Heritage of Emmy Noether written by Mina Teicher and published by . This book was released on 1999 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Named for the noted mathematician, the Emmy Noether Research Institute for Mathematics held a two-day conference dedicated to her heritage and her influence on mathematics and physics in the 20th and 21st centuries. This volume presents the proceedings of that conference. It includes a comprehensive description of Noether's contributions to commutative and noncommutative algebra, algebraic geometry, topology, and physics given by world experts in these fields. Also included is a profile of her life. The volume is a comprehensive collection of Noether's valuable contributions to mathematics and physics.

Motives

Author : Uwe Jannsen
Publisher : American Mathematical Soc.
ISBN 13 : 0821827979
Total Pages : 766 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Motives by : Uwe Jannsen

Download or read book Motives written by Uwe Jannsen and published by American Mathematical Soc.. This book was released on 1994 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.

Weyl and the Problem of Space

Author : Julien Bernard
Publisher : Springer Nature
ISBN 13 : 3030115275
Total Pages : 418 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Weyl and the Problem of Space by : Julien Bernard

Download or read book Weyl and the Problem of Space written by Julien Bernard and published by Springer Nature. This book was released on 2019-10-09 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.

The Mathematical Legacy of Harish-Chandra

Author : Harish-Chandra
Publisher : American Mathematical Soc.
ISBN 13 : 0821811975
Total Pages : 551 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Mathematical Legacy of Harish-Chandra by : Harish-Chandra

Download or read book The Mathematical Legacy of Harish-Chandra written by Harish-Chandra and published by American Mathematical Soc.. This book was released on 2000 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, ""Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra"", which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers.The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, ""Some Recollections of Harish-Chandra"", by A. Borel, and ""Harish-Chandra's c-Function: A Mathematical Jewel"", by S. Helgason. In addition, an expository paper, ""An Elementary Introduction to Harish-Chandra's Work"", gives an overview of some of his most basic mathematical ideas with references for further study. This volume offers a comprehensive retrospective of Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level background in the representation theory of Lie groups and harmonic analysis. For other wonderful titles written by this author see: ""Euler through Time: A New Look at Old Themes"", ""Supersymmetry for Mathematicians: An Introduction"", ""The Selected Works of V.S. Varadarajan"", and ""Algebra in Ancient and Modern Times"".

Mind and Nature

Author : Hermann Weyl
Publisher : Princeton University Press
ISBN 13 : 1400833329
Total Pages : 270 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mind and Nature by : Hermann Weyl

Download or read book Mind and Nature written by Hermann Weyl and published by Princeton University Press. This book was released on 2009-03-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hermann Weyl (1885-1955) was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or translated into English, or that have long been out of print. Complete with Peter Pesic's introduction, notes, and bibliography, these writings reveal an unjustly neglected dimension of a complex and fascinating thinker. In addition, the book includes more than twenty photographs of Weyl and his family and colleagues, many of which are previously unpublished. Included here are Weyl's exposition of his important synthesis of electromagnetism and gravitation, which Einstein at first hailed as "a first-class stroke of genius"; two little-known letters by Weyl and Einstein from 1922 that give their contrasting views on the philosophical implications of modern physics; and an essay on time that contains Weyl's argument that the past is never completed and the present is not a point. Also included are two book-length series of lectures, The Open World (1932) and Mind and Nature (1934), each a masterly exposition of Weyl's views on a range of topics from modern physics and mathematics. Finally, four retrospective essays from Weyl's last decade give his final thoughts on the interrelations among mathematics, philosophy, and physics, intertwined with reflections on the course of his rich life.

History of Topology

Author : I.M. James
Publisher : Elsevier
ISBN 13 : 0080534074
Total Pages : 1067 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis History of Topology by : I.M. James

Download or read book History of Topology written by I.M. James and published by Elsevier. This book was released on 1999-08-24 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.

Space, Time, Matter

Author : Hermann Weyl
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Space, Time, Matter by : Hermann Weyl

Download or read book Space, Time, Matter written by Hermann Weyl and published by . This book was released on 1922 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Mathematics

Author : Luke Hodgkin
Publisher : OUP Oxford
ISBN 13 : 9780191523830
Total Pages : 302 pages
Book Rating : 4.5/5 (238 download)

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Book Synopsis A History of Mathematics by : Luke Hodgkin

Download or read book A History of Mathematics written by Luke Hodgkin and published by OUP Oxford. This book was released on 2005-06-02 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.

Review of Hermann Weyl's Philosophy of Math & Natural Science

Author : H. A. Pogorzelski
Publisher :
ISBN 13 : 9780964302396
Total Pages : 93 pages
Book Rating : 4.3/5 (23 download)

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Book Synopsis Review of Hermann Weyl's Philosophy of Math & Natural Science by : H. A. Pogorzelski

Download or read book Review of Hermann Weyl's Philosophy of Math & Natural Science written by H. A. Pogorzelski and published by . This book was released on 2009 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lipman Bers, a Life in Mathematics

Author : Linda Keen
Publisher : American Mathematical Soc.
ISBN 13 : 1470420562
Total Pages : 329 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Lipman Bers, a Life in Mathematics by : Linda Keen

Download or read book Lipman Bers, a Life in Mathematics written by Linda Keen and published by American Mathematical Soc.. This book was released on 2015-09-15 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life. It is all about Lipman Bers, a giant in the mathematical world who lived in turbulent and exciting times. It captures the essence of his mathematics, a development and transition from applied mathematics to complex analysis--quasiconformal mappings and moduli of Riemann surfaces--and the essence of his personality, a progression from a young revolutionary refugee to an elder statesman in the world of mathematics and a fighter for global human rights and the end of political torture. The book contains autobiographical material and short reprints of his work. The main content is in the exposition of his research contributions, sometimes with novel points of view, by students, grand-students, and colleagues. The research described was fundamental to the growth of a central part of 20th century mathematics that, now in the 21st century, is in a healthy state with much current interest and activity. The addition of personal recollections, professional tributes, and photographs yields a picture of a man, his personal and professional family, and his time.

The Feynman Integral and Feynman's Operational Calculus

Author : Gerald W. Johnson
Publisher : Clarendon Press
ISBN 13 : 0191546267
Total Pages : 790 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Feynman Integral and Feynman's Operational Calculus by : Gerald W. Johnson

Download or read book The Feynman Integral and Feynman's Operational Calculus written by Gerald W. Johnson and published by Clarendon Press. This book was released on 2000-03-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the most comprehensive mathematical treatment to date of the Feynman path integral and Feynman's operational calculus. It is accessible to mathematicians, mathematical physicists and theoretical physicists. Including new results and much material previously only available in the research literature, this book discusses both the mathematics and physics background that motivate the study of the Feynman path integral and Feynman's operational calculus, and also provides more detailed proofs of the central results.