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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:

View: 99

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: en
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: en
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 course 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 functions as power series.
A Second Course in Mathematical Analysis
Language: en
Pages: 526

A Second Course in Mathematical Analysis

Authors: J. C. Burkill, H. Burkill
Categories: Mathematics
Type: BOOK - Published: 2002-10-24 - Publisher: Cambridge University Press

A classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.
A First Course in Mathematical Analysis
Language: en
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.
A First Course in Mathematical Physics
Language: en
Pages: 336

A First Course in Mathematical Physics

Authors: Colm T. Whelan
Categories: Science
Type: BOOK - Published: 2016-06-27 - Publisher: John Wiley & Sons

The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which

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