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A Hilbert Space Problem Book

Author : P.R. Halmos
ISBN : 9781461599760
Genre : Mathematics
File Size : 65. 65 MB
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From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."


Author : Constance Reid
ISBN : 0387946748
Genre : Language Arts & Disciplines
File Size : 62. 97 MB
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Biography of mathematician David Hilbert.

Hilbert Spaces With Applications

Author : Lokenath Debnath
ISBN : 9780122084386
Genre : Mathematics
File Size : 90. 58 MB
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Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, 3E, 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 .

Methods Of Mathematical Physics

Author : Richard Courant
ISBN : 9783527617227
Genre : Science
File Size : 60. 56 MB
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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.

Gaussian Hilbert Spaces

Author : Svante Janson
ISBN : 0521561280
Genre : Mathematics
File Size : 70. 81 MB
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This book treats the fundamental mathematical properties that hold for a family of Gaussian random variables.

Quantum Mechanics In Hilbert Space

Author : Eduard Prugovečki
ISBN : 9780125660501
Genre : Hilbert space
File Size : 62. 90 MB
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An Introduction To Hilbert Space

Author : N. Young
ISBN : 0521337178
Genre : Mathematics
File Size : 59. 25 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.

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