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Author : Constance Reid
ISBN : 0387946748
Genre : Language Arts & Disciplines
File Size : 31. 71 MB
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Biography of mathematician David Hilbert.

A Hilbert Space Problem Book

Author : P.R. Halmos
ISBN : 0387906851
Genre : Mathematics
File Size : 32. 9 MB
Format : PDF
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Written for the active reader with some background in the topic, this book presents problems in Hilbert space theory, with definitions, corollaries and historical remarks, hints, proofs, answers and constructions.

Quantum Mechanics In Hilbert Space

Author : Eduard Prugovečki
ISBN : 9780125660501
Genre : Hilbert space
File Size : 65. 25 MB
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The Theory Of Algebraic Number Fields

Author : David Hilbert
ISBN : 3540627790
Genre : Mathematics
File Size : 59. 15 MB
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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.

Hilbert C Modules

Author : Vladimir Markovich Manuĭlov
ISBN : 0821889664
Genre : Mathematics
File Size : 89. 31 MB
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Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C*$-modules. Hilbert $C*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C $ is replaced by an arbitrary $C*$-algebra. The general theory of Hilbert $C*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool inoperator algebras theory, index theory of elliptic operators, $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C*$-modules is interesting on its own. In this book, the authors explain in detail the basic notions and results of thetheory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.

Methods Of Hilbert Spaces

Author : Krysztof Maurin
ISBN : UVA:X001473926
Genre : Hilbert space
File Size : 36. 92 MB
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Hilbert Courant

Author : Constance Reid
ISBN : 0387962565
Genre : Biography & Autobiography
File Size : 70. 93 MB
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David Hilbert, Director of the Mathematical Institute of G”ttingen during its glory years, is the formulator of the famous Hilbert Problems that set the course of mathematics from 1900 until the present day. In his prime, Hilbert was rivaled in influence only by the great Henri Poincare in Paris. Richard Courant was Hilbert's student and successor as director of the Mathematical Institute until his forcible removal in 1933. He co-authored Methods of Mathematical Physics (1924) with Hilbert, a classic text that seemed almost clairvoyant in its prediction of the mathematical needs of quantum physics. He also founded the Courant Institute at New York University. Poignant, lively and fascinating, these two books present a sweeping history of twentieth-century mathematics as it was expressed through the lives of these two great friends and colleagues. Constance Reid has been called 'the foremost mathematical biographer of our time.' Her many books include From Zero to Infinity, AELong Way from Euclid, The Search for E.T. Bell, and Neyman, from Life.

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