Advanced Mathematical Analysis: Periodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications (Graduate Texts in Mathematics) (Volume 12)

Beals, R

ISBN 10: 0387900667 / ISBN 13: 9780387900667

Published by Springer, 1973

About this Item

Volume 12. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,450grams, ISBN:0387900667.

Seller Inventory # 9291062

Bibliographic Details

• Title: Advanced Mathematical Analysis: Periodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications (Graduate Texts in Mathematics) (Volume 12)
• Publisher: Springer
• Publication Date: 1973
• Language: English
• ISBN 10: 0387900667
• ISBN 13: 9780387900667
• Binding: Soft cover
• Condition: Poor
• Seller catalogs:
  • Mathematics

About this title

Synopsis

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.