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Hilbert Space:the Mathematics of Infinite Dimensions by Edited by Paul F Kisak (Paperback / softback, 2016)
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About this product
Product Information
The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the tion of Euclidean space. It extends the methods of vector algebra and calculus from the two-dimensional Euclidean plane and three-dimensional space to spaces with any finite or infinite number of dimensions. A Hilbert space is an abstract vector space possessing the structure of an inner product that allows length and angle to be measured. Furthermore, Hilbert spaces are complete: there are eugh limits in the space to allow the techniques of calculus to be used. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as infinite-dimensional function spaces. The earliest Hilbert spaces were studied from this point of view in the first decade of the 20th century by David Hilbert, Erhard Schmidt, and Frigyes Riesz. They are indispensable tools in the theories of partial differential equations, quantum mechanics, Fourier analysis (which includes applications to signal processing and heat transfer)-and ergodic theory, which forms the mathematical underpinning of thermodynamics. John von Neumann coined the term Hilbert space for the abstract concept that underlies many of these diverse applications. The success of Hilbert space methods ushered in a very fruitful era for functional analysis. Apart from the classical Euclidean spaces, examples of Hilbert spaces include spaces of square-integrable functions, spaces of sequences, Sobolev spaces consisting of generalized functions, and Hardy spaces of holomorphic functions. This book gives a mathematical overview of the definition and use of Hilbert Space and is designed to be a reference and provide an overview of the topic and give the reader a structured kwledge to familiarize yourself with the topic at the most affordable price possible. The accuracy and kwledge is of an international viewpoint as the edited articles represent the inputs of many kwledgeable individuals and some of the most current kwledge on the topic, based on the date of publication.Product Identifiers
PublisherCreatespace Independent Publishing Platform
ISBN-10152332399x
ISBN-139781523323999
eBay Product ID (ePID)225464878
Product Key Features
SubjectMathematics
LanguageEnglish
TypeTextbook
AuthorEdited by Paul F Kisak
FormatTrade Paperback (Us) ,Unsewn / Adhesive Bound, Paperback / Softback
Additional Product Features
Date of Publication07/01/2016
Country of PublicationUnited States
Author BiographyThe editor has degrees in Engineering Physics & Nuclear Engineering from the University of Michigan and is an Engineer & Former Intelligence Officer for the CIA & US Intelligence Community and was President of an award-winning Defense Contracting Company. He has authored several books, edited numerous books and has written over 75 Technical, Classified & Unclassified papers, Articles & Essays. He has also been a Contributing Author for The International Encyclopedia on Intelligence and Counter-Intelligence and written several award-winning software manuals that have been sold in more than a dozen countries. He has also appeared in Marquis Who's Who in the World & Who's Who in Science & Engineering and continues to edit and write.
Content NoteBlack & White Illustrations
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