**Author**: David Alexander Brannan

**Publisher:** Cambridge University Press

**ISBN:** 9781139458955

**Category:** Mathematics

**Page:**

**View:** 595

Library of eBook in PDF, ePub, Kindle and Mobi

**Author**: David Alexander Brannan

**Publisher:** Cambridge University Press

**ISBN:** 9781139458955

**Category:** Mathematics

**Page:**

**View:** 595

Language: un

Pages:

Pages:

Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses

Language: un

Pages: 186

Pages: 186

This straightforward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric

Language: un

Pages: 507

Pages: 507

The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading

Language: un

Pages: 616

Pages: 616

Intends to serve as a textbook in Real Analysis at the Advanced Calculus level. This book includes topics like Field of real numbers, Foundation of calculus, Compactness, Connectedness, Riemann integration, Fourier series, Calculus of several variables and Multiple integrals are presented systematically with diagrams and illustrations.

Language: un

Pages: 386

Pages: 386

This text presents ideas of elementary real analysis, with chapters on real numbers, sequences, limits and continuity, differentiation, integration, infinite series, sequences and series of functions, and point-set topology. Appendices review essential ideas of mathematical logic, sets and functions, and mathematical induction. Students are required to confront formal proofs. Some