Logo

A Course of Modern Analysis

Large book cover: A Course of Modern Analysis

A Course of Modern Analysis
by

Publisher: Cambridge University Press
Number of pages: 608

Description:
This classic text has entered and held the field as the standard book on the applications of analysis to the transcendental functions. The authors explain the methods of modern analysis in the first part of the book and then proceed to a detailed discussion of the transcendental function, unhampered by the necessity of continually proving new theorems for special applications. In this way the authors have succeeded in being rigorous without imposing on the reader the mass of detail that so often tends to make a rigorous demonstration tedious. Researchers and students will find this book as valuable as ever.

Home page url

Download or read it online for free here:
Download link
(multiple formats)

Similar books

Book cover: Multivector Differential CalculusMultivector Differential Calculus
by - arXiv
This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions.
(5754 views)
Book cover: Short introduction to Nonstandard AnalysisShort introduction to Nonstandard Analysis
by - arXiv
These notes offer a short and rigorous introduction to Nostandard Analysis, mainly aimed to reach to a presentation of the basics of Loeb integration, and in particular, Loeb measures. The Abraham Robinson version of Nostandard Analysis is pursued.
(7267 views)
Book cover: Theory of the IntegralTheory of the Integral
by - Polish Mathematical Society
Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.
(9146 views)
Book cover: Real Numbers and Fascinating FractionsReal Numbers and Fascinating Fractions
by
This text introduces the interesting and valuable concept of continued fractions. Contents: Two Historical Puzzles; Formation of Continued Fractions; Convergents; Non-terminating Continued Fractions; Approximation of Real Numbers.
(10372 views)