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Author : Constance Reid
ISBN : 0387946748
Genre : Language Arts & Disciplines
File Size : 76. 43 MB
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Biography of mathematician David Hilbert.


Author : Kurt v. Reidemeister
ISBN : 9783642651298
Genre : Juvenile Nonfiction
File Size : 30. 62 MB
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Gaussian Hilbert Spaces

Author : Svante Janson
ISBN : 0521561280
Genre : Mathematics
File Size : 58. 66 MB
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This book treats the fundamental mathematical properties that hold for a family of Gaussian random variables.

Anschauliche Geometrie

Author : David Hilbert
ISBN : 9783662366851
Genre : Mathematics
File Size : 83. 38 MB
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Linear Operators In Hilbert Space

Author : J. L. Soule
ISBN : 0677301758
Genre : Mathematics
File Size : 82. 74 MB
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An Introduction To Hilbert Space

Author : N. Young
ISBN : 0521337178
Genre : Mathematics
File Size : 37. 61 MB
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This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics. Dr. Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. The book is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). The book will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.

Quantum Mechanics In Hilbert Space

Author : Eduard Prugovecki
ISBN : 9780486318059
Genre : Science
File Size : 75. 13 MB
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A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable and self-contained form is accessible even to students without an extensive mathematical background. Applications of basic theorems to quantum mechanics make it of particular interest to mathematicians working in functional analysis and related areas. This text features the rigorous proofs of all the main functional-analytic statements encountered in books on quantum mechanics. It fills the gap between strictly physics- and mathematics-oriented texts on Hilbert space theory as applied to nonrelativistic quantum mechanics. Organized in the form of definitions, theorems, and proofs of theorems, it allows readers to immediately grasp the basic concepts and results. Exercises appear throughout the text, with hints and solutions at the end.

Hilbert Spaces With Applications

Author : Lokenath Debnath
ISBN : 9780122084386
Genre : Mathematics
File Size : 27. 48 MB
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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

Stochastic Analysis And Random Maps In Hilbert Space

Author : A. A. Dorogovt͡sev
ISBN : 9067641634
Genre : Architecture
File Size : 30. 97 MB
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This book is devoted to stochastic operators in Hilbert space. A number of models in modern probability theory apply the notion of a stochastic operator in explicit or latent form. In this book, objects from the Gaussian case are considered. Therefore, it is useful to consider all random variables and elements as functionals from the Wiener process or its formal derivative, i.e. white noise. The book consists of five chapters. The first chapter is devoted to stochastic calculus and its main goal is to prepare the tools for solving stochastic equations. In the second chapter the structure of stochastic equations, mainly the structure of Gaussian strong linear operators, is studied. In chapter 3 the definition of the action of the stochastic operator on random elements in considered. Chapter 4 deals with the mathematical models in which the notions of stochastic calculus arise and in the final chapter the equation with random operators is considered.

Hilbert C Modules

Author : E. Christopher Lance
ISBN : 052147910X
Genre : Mathematics
File Size : 90. 39 MB
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The theory of these modules together with their bounded and unbounded operators is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebra. This book provides a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. Graduate students and researchers working in operator algebras will welcome this book as an excellent resource.

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