Advanced Mathematical Analysis

Name: Advanced Mathematical Analysis
Brand: Springer, Berlin
SKU: 9780387900650
Price: 304.89 RON
Availability: InStock

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

Autor: Richard Beals

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Legare: Copertă tare

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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Once upon a time students of mathematics and students of science or engineering took the same course...

Informații despre carte

Autor

Richard Beals

Limbă

engleză

Legare

Carte - Copertă tare

Pagini

234

EAN

9780387900650

ISBN

0387900659

Enbook ID

01383446

Editura

Springer, Berlin

Greutate

526

Dimensiuni

156 x 234 x 15

Descriere completă

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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Advanced Mathematical Analysis

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

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Descriere completă

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