Introduction To Hilbert Space
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Introduction To Hilbert Space
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Author : Sterling K. Berberian
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Introduction To Hilbert Space written by Sterling K. Berberian and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
From the Preface: ``This textbook has evolved from a set of lecture notes ... In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics ... It is necessary for the reader to have a foundation in advanced calculus which includes familiarity with: least upper bound (LUB) and greatest lower bound (GLB), the concept of function, $\epsilon$'s and their companion $\delta$'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the Weierstrass-Bolzano theorem). It is not presupposed that the reader is acquainted with vector spaces ... , matrices ... , or determinants ... There are over four hundred exercises, most of them easy ... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis.''
An Introduction To Hilbert Space
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Author : N. Young
language : en
Publisher: Cambridge University Press
Release Date : 1988-07-21
An Introduction To Hilbert Space written by N. Young 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 1988-07-21 with Mathematics categories.
The notion of a Hilbert space is a central idea in functional analysis and this text demonstrates its applications in numerous branches of pure and applied mathematics.
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Author : Paul R. Halmos
language : en
Publisher: Courier Dover Publications
Release Date : 2017-11-15
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity written by Paul R. Halmos and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-15 with Mathematics categories.
Concise introductory treatment consists of three chapters: The Geometry of Hilbert Space, The Algebra of Operators, and The Analysis of Spectral Measures. A background in measure theory is the sole prerequisite. 1957 edition.
Introduction To Hilbert Spaces With Applications
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Author : Lokenath Debnath
language : en
Publisher:
Release Date : 1999
Introduction To Hilbert Spaces With Applications written by Lokenath Debnath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The Second Edition of this successful text offers a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis. It includes a simple introduction to the Lebesgue integral and a new chapter on wavelets. The book provides the reader with revised examples and updated diverse applications to differential and integral equations with clear explanations of these methods as applied to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation.
An Introduction To Hilbert Space And Quantum Logic
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Author : David W. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Hilbert Space And Quantum Logic written by David W. Cohen 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 2012-12-06 with Science categories.
Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity
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Author : Paul R. Halmos
language : en
Publisher:
Release Date : 2013-09
Introduction To Hilbert Space And The Theory Of Spectral Multiplicity written by Paul R. Halmos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09 with Mathematics categories.
2013 Reprint of 1951 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. The subject matter of the book is funneled into three chapters: [1] The geometry of Hubert space; [2] the structure of self-adjoint and normal operators; [3] and multiplicity theory for a normal operator. For the last, an expert knowledge of measure theory is indispensable. Indeed, multiplicity theory is a magnificent measure-theoretic tour de force. The subject matter of the first two chapters might be said to constitute an introduction to Hilbert space, and for these, an a priori knowledge of classic measure theory is not essential. Paul Richard Halmos (1916-2006) was a Hungarian-born American mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory, and functional analysis (in particular, Hilbert spaces). He was also recognized as a great mathematical expositor.
A Primer On Hilbert Space Theory
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Author : Carlo Alabiso
language : en
Publisher: Springer Nature
Release Date : 2021-03-03
A Primer On Hilbert Space Theory written by Carlo Alabiso and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-03 with Science categories.
This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors’s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.
Introduction To Hilbert Spaces With Applications
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Author : Lokenath Debnath
language : en
Publisher: Academic Press
Release Date : 2005-09-29
Introduction To Hilbert Spaces With Applications written by Lokenath Debnath and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-29 with Mathematics categories.
"Continuing on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory complemented by a variety of applications. Students and researchers will benefit from the enhanced presentation of results and proofs and new and revised examples. A completely new section on Sobolev spaces has been added, and the treatment of finite dimensional normed spaces has been expanded. The chapter on wavelets has been updated."--BOOK JACKET.
Introduction To Hilbert Space
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Author : S K. Berberian
language : en
Publisher:
Release Date : 1919
Introduction To Hilbert Space written by S K. Berberian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1919 with categories.
Introduction To Hilbert Spaces With Applications
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Author : Lokenath Debnath
language : en
Publisher: Elsevier
Release Date : 2005-09-29
Introduction To Hilbert Spaces With Applications written by Lokenath Debnath and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-29 with Mathematics categories.
Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory. Updated chapter on wavelets Improved presentation on results and proof Revised examples and updated applications Completely updated list of references