Advanced Mathematical Analysis: Periodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications

Richard Beals

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ISBN 10: 3540900667 ISBN 13: 9783540900665
Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1973
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Richard Beals studied mathematics at Yale University (B.A. 1960, Ph.D. 1964) and economics at Harvard (1960-1961). Held positions at Yale (Instructor, 1964-1965; Assistant Professor 1965-1966) and the University of Chicago (since 1966). Principal mathematical interests are partial differential equations and operator theory. Published papers on elliptic and hyperbolic partial differential equations, local solvability of linear partial differential equations, operator theory, differential equations in Banach spaces, mathematical psychology, mathematical economics.

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Title: Advanced Mathematical Analysis: Periodic ...
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Date: 1973
Binding: Paperback
Condition: Good
Dust Jacket Condition: No Jacket

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Richard Beals
ISBN 10: 0387900659 ISBN 13: 9780387900650
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Once upon a time students of mathematics and students of science or engineering took the same courses in mathematical analysis beyond calculus. Now it is common to separate' advanced mathematics for science and engi neering' from what might be called 'advanced mathematical analysis for mathematicians.' It seems to me both useful and timely to attempt a reconciliation. The separation between kinds of courses has unhealthy effects. Mathe matics students reverse the historical development of analysis, learning the unifying abstractions first and the examples later (if ever). Science students learn the examples as taught generations ago, missing modern insights. A choice between encountering Fourier series as a minor instance of the repre sentation theory of Banach algebras, and encountering Fourier series in isolation and developed in an ad hoc manner, is no choice at all. It is easy to recognize these problems, but less easy to counter the legiti mate pressures which have led to a separation. Modern mathematics has broadened our perspectives by abstraction and bold generalization, while developing techniques which can treat classical theories in a definitive way. On the other hand, the applier of mathematics has continued to need a variety of definite tools and has not had the time to acquire the broadest and most definitive grasp-to learn necessary and sufficient conditions when simple sufficient conditions will serve, or to learn the general framework encompass ing different examples. Seller Inventory # 9780387900650

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Richard Beals
Published by Springer-Verlag New York Inc., 1973
ISBN 10: 0387900659 ISBN 13: 9780387900650
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