A First Course in Mathematical Analysis

A First Course in Mathematical Analysis

Author: David Alexander Brannan

Publisher: Cambridge University Press

ISBN: 9781139458955

Category: Mathematics

Page:

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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 are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.
A First Course in Mathematical Analysis
Language: un
Pages:

A First Course in Mathematical Analysis

Authors: David Alexander Brannan
Categories: Mathematics
Type: BOOK - Published: 2006-08-17 - Publisher: Cambridge University Press

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
A First Course in Mathematical Analysis
Language: un
Pages: 186

A First Course in Mathematical Analysis

Authors: J. C. Burkill
Categories: Mathematics
Type: BOOK - Published: 1978-12-14 - Publisher: Cambridge University Press

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
A First Course in Real Analysis
Language: un
Pages: 507

A First Course in Real Analysis

Authors: M.H. Protter, C.B. Jr. Morrey
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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
A First Course in Mathematical Analysis
Language: un
Pages: 616

A First Course in Mathematical Analysis

Authors: Dorairaj Somasundaram, B. Choudhary
Categories: Mathematics
Type: BOOK - Published: 1996-01-30 - Publisher:

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.
Real Analysis
Language: un
Pages: 386

Real Analysis

Authors: Russell A. Gordon
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: Pearson College Division

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