Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering
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The work Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering
Resource Information
The work Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering
 Title remainder
 Mathematical Tools in Physics and Engineering
 Statement of responsibility
 by Ole Christensen
 Language

 eng
 eng
 Summary
 This graduatelevel textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. A central theme of the book is the structure of various vector spaces—most importantly, Hilbert spaces—and expansions of elements in these spaces in terms of bases. Key topics and features include: * More than 150 exercises * Abstract and normed vector spaces * Approximation in normed vector spaces * Hilbert and Banach spaces * General bases and orthonormal bases * Linear operators on various normed spaces * The Fourier transform, including the discrete Fourier transform * Wavelets and multiresolution analysis * Bsplines * Sturm–Liouville problems As a textbook that provides a deep understanding of central issues in mathematical analysis, Functions, Spaces, and Expansions is intended for graduate students, researchers, and practitioners in applied mathematics, physics, and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required. Functions, Spaces, and Expansions is the main textbook for the ecourse Mathematics 4: Real Analysis currently being taught at the Technical University of Denmark. Please click the "Course Materials" link on the right to access videos of the lectures, problem sheets, and solutions to selected exercises
 Dewey number
 515.733
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 Huz9oyahSA0
 Language note
 English
 LC call number
 TA342343
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Applied and Numerical Harmonic Analysis,
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 Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering, by Ole Christensen, (electronic resource)
 Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering, by Ole Christensen, (electronic resource)
 Functions, Spaces, and Expansions : Mathematical Tools in Physics and Engineering, by Ole Christensen, (electronic resource)
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