Foundations Of Mathematics And Physics One Century After Hilbert
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Foundations Of Mathematics And Physics One Century After Hilbert
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Author : Joseph Kouneiher
language : en
Publisher: Springer
Release Date : 2018-05-26
Foundations Of Mathematics And Physics One Century After Hilbert written by Joseph Kouneiher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-26 with Science categories.
This book explores the rich and deep interplay between mathematics and physics one century after David Hilbert’s works from 1891 to 1933, published by Springer in six volumes. The most prominent scientists in various domains of these disciplines contribute to this volume providing insight to their works, and analyzing the impact of the breakthrough and the perspectives of their own contributions. The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. The journey is not confined to the present state of the art, but sheds light on future developments of the field, highlighting a list of open problems. Graduate students and researchers working in physics, mathematics and mathematical physics will find this journey extremely fascinating. All those who want to benefit from a comprehensive description of all the latest advances in mathematics and mathematical physics, will find this book very useful too.
David Hilbert S Lectures On The Foundations Of Physics 1915 1927
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Author : Tilman Sauer
language : de
Publisher: Springer Science & Business Media
Release Date : 2009-08-06
David Hilbert S Lectures On The Foundations Of Physics 1915 1927 written by Tilman Sauer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-06 with Mathematics categories.
These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a vital text for historians and philosophers of physics, as well as researchers in related physical theories.
Methods Of Mathematical Physics
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 2008-09-26
Methods Of Mathematical Physics written by Richard Courant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-26 with Science categories.
Since the first volume of this work came out in Germany in 1924, this book, together with its second 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 second and final revision of 1953.
The Foundations Of Geometry
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Author : David Hilbert
language : en
Publisher: Read Books Ltd
Release Date : 2014-07-07
The Foundations Of Geometry written by David Hilbert and has been published by Read Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-07 with Mathematics categories.
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
Methods Of Mathematical Physics
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Author : Richard Courant
language : en
Publisher: Wiley-VCH
Release Date : 1989
Methods Of Mathematical Physics written by Richard Courant and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
Since the first volume of this work came out in Germany in 1924, this book, together with its second 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 second and final revision of 1953.
Foundations Of Geometry
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Author : David Hilbert
language : en
Publisher: Open Court Publishing
Release Date : 1971
Foundations Of Geometry written by David Hilbert and has been published by Open Court Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Along with the writings of Hilbert's friend and correspondent Frege, Hilbert's Grundlagen der Geometrie is the major prop that set the stage for Russell and Whitehead's Principia Mathematica. Hilbert presents a new axiomatization of geometry, the reduction of geometry to algebra, and introduces the distinction between mathematics and metamathematics, with a new theory of proof. This edition is translated from the tenth German edition, including all the improvements which Hilbert derived from his own reflections and the contributions of other writers. --Back cover.
David Hilbert S Lectures On The Foundations Of Physics 1915 1927
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Author : Tilman Sauer
language : de
Publisher: Springer
Release Date : 2009-08-27
David Hilbert S Lectures On The Foundations Of Physics 1915 1927 written by Tilman Sauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-27 with Mathematics categories.
These documents do nothing less than bear witness to one of the most dramatic changes in the foundations of science. The book has three sections that cover general relativity, epistemological issues, and quantum mechanics. This fascinating work will be a vital text for historians and philosophers of physics, as well as researchers in related physical theories.
Theory Of Algebraic Invariants
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Author : David Hilbert
language : en
Publisher: Cambridge University Press
Release Date : 1993-11-26
Theory Of Algebraic Invariants written by David Hilbert and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-26 with Mathematics categories.
An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen.
David Hilbert And The Axiomatization Of Physics 1898 1918
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Author : L. Corry
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
David Hilbert And The Axiomatization Of Physics 1898 1918 written by L. Corry and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.
The Theory Of Algebraic Number Fields
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Author : David Hilbert
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-08-20
The Theory Of Algebraic Number Fields written by David Hilbert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-20 with Mathematics categories.
A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.