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Advanced Mathematical Analysis

Periodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications

Language EnglishEnglish
Book Paperback
Book Advanced Mathematical Analysis R. Beals
Libristo code: 01383447
Publishers Springer, Berlin, March 2011
Once upon a time students of mathematics and students of science or engineering took the same course... Full description
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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.

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About the book

Full name Advanced Mathematical Analysis
Author R. Beals
Language English
Binding Book - Paperback
Date of issue 2011
Number of pages 232
EAN 9780387900667
ISBN 0387900667
Libristo code 01383447
Publishers Springer, Berlin
Weight 370
Dimensions 155 x 235 x 13

Categories

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Calculus
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