Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrodinger Equations
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Numar articol:187867358
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Preț:148,00 Lei
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Specificatii
Numerous worked examples and exercises highlight this unified
treatment of the Hermitian operator theory in its Hilbert space
setting. Its simple explanations of difficult subjects make it
accessible to undergraduates as well as an ideal self-study
guide.Featuring full discussions of first and second order linear
differential equations, the text introduces the fundamentals of
Hilbert space theory and Hermitian differential operators. It
derives the eigenvalues and eigenfunctions of classical Hermitian
differential operators, develops the general theory of orthogonal
bases in Hilbert space, and offers a comprehensive account of
Schrodinger's equations. In addition, it surveys the Fourier
transform as a unitary operator and demonstrates the use of various
differentiation and integration techniques.Samuel S. Holland, Jr.
is a professor of mathematics at the University of Massachusetts,
Amherst. He has kept this text accessible to undergraduates by
omitting proofs of some theorems but maintaining the core ideas of
crucially important results. Intuitively appealing to students in
applied mathematics, physics, and engineering, this volume is also
a fine reference for applied mathematicians, physicists, and
theoretical engineers.
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