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David Hilbert and the Axiomatization of Physics (1898–1918), L. Corry


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Автор: L. Corry
Название:  David Hilbert and the Axiomatization of Physics (1898–1918)
ISBN: 9789048167197
Издательство: Springer
Классификация:



ISBN-10: 9048167191
Обложка/Формат: Paperback
Страницы: 513
Вес: 0.73 кг.
Дата издания: 06.12.2010
Серия: Archimedes
Язык: English
Размер: 234 x 156 x 27
Основная тема: Physics
Подзаголовок: From Grundlagen der Geometrie to Grundlagen der Physik
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincar , 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Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilberts intense, original, well-informed, and highly influential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 Hilberts 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.




Unbounded Self-Adjoint Operators on Hilbert Space

Автор: Schm?dgen
Название: Unbounded Self-Adjoint Operators on Hilbert Space
ISBN: 9400747527 ISBN-13(EAN): 9789400747524
Издательство: Springer
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Цена: 10480.00 р.
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Описание: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schroedinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) .

A Primer on Hilbert Space Theory

Автор: Carlo Alabiso; Ittay Weiss
Название: A Primer on Hilbert Space Theory
ISBN: 3319353519 ISBN-13(EAN): 9783319353517
Издательство: Springer
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Цена: 9794.00 р.
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Описание: This introduction to Hilbert space will equip the reader for more demanding further study. It builds a pedagogic bridge between the rigorous style of mathematics and the more practical perspective of physicists.

Twenty-First Century Quantum Mechanics: Hilbert Space to Qua

Автор: Fano Guido
Название: Twenty-First Century Quantum Mechanics: Hilbert Space to Qua
ISBN: 3319587315 ISBN-13(EAN): 9783319587318
Издательство: Springer
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Цена: 7965.00 р.
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Описание: Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result.

Spectral Theory of Operators in Hilbert Space

Автор: Kurt O. Friedrichs
Название: Spectral Theory of Operators in Hilbert Space
ISBN: 0387900764 ISBN-13(EAN): 9780387900766
Издательство: Springer
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Описание: The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra.

Spinors in Hilbert Space

Автор: Paul Dirac
Название: Spinors in Hilbert Space
ISBN: 1475700369 ISBN-13(EAN): 9781475700367
Издательство: Springer
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Цена: 13060.00 р.
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Описание: Hilbert Space The words "Hilbert space" here will always denote what math- ematicians call a separable Hilbert space. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector.

David Hilbert and the Axiomatization of Physics (1898-1918) / From Grundlagen der Geometrie to Grundlagen der Physik

Автор: Corry Leo
Название: David Hilbert and the Axiomatization of Physics (1898-1918) / From Grundlagen der Geometrie to Grundlagen der Physik
ISBN: 140202777X ISBN-13(EAN): 9781402027772
Издательство: Springer
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Описание: Presents a fresh and comprehensive picture of David Hilbert`s intense, original, and influential involvement with physics, that spanned his career and that constituted a main focus of interest in his scientific horizon. This book is of interest to historians of physics and of mathematics, and to historically-minded physicists and mathematicians.

The Theory of Algebraic Number Fields

Автор: David Hilbert; F. Lemmermeyer; I.T. Adamson; N. Sc
Название: The Theory of Algebraic Number Fields
ISBN: 3642083064 ISBN-13(EAN): 9783642083068
Издательство: Springer
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Описание: Constance Reid, in Chapter VII of her book Hilbert, tells the story of the writing of the Zahlbericht, as his report entitled Die Theorie der algebra is- chen Zahlkorper has always been known. At its annual meeting in 1893 the Deutsche Mathematiker-Vereinigung (the German Mathematical Society) invited Hilbert and Minkowski to prepare a report on the current state of affairs in the theory of numbers, to be completed in two years. The two mathematicians agreed that Minkowski should write about rational number theory and Hilbert about algebraic number theory. Although Hilbert had almost completed his share of the report by the beginning of 1896 Minkowski had made much less progress and it was agreed that he should withdraw from his part of the project. Shortly afterwards Hilbert finished writing his report on algebraic number fields and the manuscript, carefully copied by his wife, was sent to the printers. The proofs were read by Minkowski, aided in part by Hurwitz, slowly and carefully, with close attention to the mathematical exposition as well as to the type-setting; at Minkowski's insistence Hilbert included a note of thanks to his wife. As Constance Reid writes, "The report on algebraic number fields exceeded in every way the expectation of the members of the Mathemati- cal Society. They had asked for a summary of the current state of affairs in the theory. They received a masterpiece, which simply and clearly fitted all the difficult developments of recent times into an elegantly integrated theory.

A Hilbert Space Problem Book

Автор: P.R. Halmos
Название: A Hilbert Space Problem Book
ISBN: 0387906851 ISBN-13(EAN): 9780387906850
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Suitable for active readers, this book includes problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks. It contains proofs, answers, or constructions, depending on the nature of the problem.

Unbounded Self-adjoint Operators on Hilbert Space

Автор: Konrad Schm?dgen
Название: Unbounded Self-adjoint Operators on Hilbert Space
ISBN: 9400797419 ISBN-13(EAN): 9789400797413
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This book explores unbounded self-adjoint operators on Hilbert space and their spectral theory, placing emphasis on applications in mathematical physics and analysis. Addresses advanced topics, and includes many examples and exercises.

Foundations of Mathematics and Physics one Century After Hilbert

Автор: Joseph Kouneiher
Название: Foundations of Mathematics and Physics one Century After Hilbert
ISBN: 3319648128 ISBN-13(EAN): 9783319648125
Издательство: Springer
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Описание: 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.

Hilbert`s Program

Автор: M. Detlefsen
Название: Hilbert`s Program
ISBN: 9048184207 ISBN-13(EAN): 9789048184200
Издательство: Springer
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Описание: Conceived in this way, there are two basic alternatives for mathematical epistemology: a skeptical position which maintains either that mind and reality seldom or never come to agreement, or that we have no very reliable way of telling when they do;

Hilbert-Courant

Автор: Constance Reid
Название: Hilbert-Courant
ISBN: 0387962565 ISBN-13(EAN): 9780387962566
Издательство: Springer
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