Calculus

Amber Habib

$94.95

Paperback

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English

Cambridge University Press
16 February 2023

Calculus & mathematical analysis

Calculus is important for first-year undergraduate students pursuing mathematics, physics, economics, engineering, and other disciplines where mathematics plays a significant role. The book provides a thorough reintroduction to calculus with an emphasis on logical development arising out of geometric intuition. The author has restructured the subject matter in the book by using Tarski's version of the completeness axiom, introducing integration before differentiation and limits, and emphasizing benefits of monotonicity before continuity. The standard transcendental functions are developed early in a rigorous manner and the monotonicity theorem is proved before the mean value theorem. Each concept is supported by diverse exercises which will help the reader to understand applications and take them nearer to real and complex analysis.

By: Amber Habib
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 238mm, Width: 184mm, Spine: 19mm
Weight: 600g
ISBN: 9781009159692
ISBN 10: 1009159690
Pages: 406
Publication Date: 16 February 2023
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

Introduction; 1. Real Numbers and Functions; 2. Integration; 3. Limits and Continuity; 4. Differentiation; 5. Techniques of Integration; 6. Mean Value Theorems and Applications; 7. Sequences and Series; 8. Taylor and Fourier Series; A. Solutions to Odd-Numbered Exercises; Bibliography; Index.

Amber Habib is a Professor of Mathematics at Shiv Nadar University (SNU), India. In the past, he was associated with St. Stephen's College in Delhi. His research interests include the representation theory of Lie groups and algebras and mathematical finance. He has contributed to curriculum development at universities such as SNU, Delhi NCR, the Indira Gandhi National Open University, and Ambedkar University, Delhi. He is also the author of The Calculus of Finance and A Bridge to Mathematics.

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Calculus

Amber Habib

$94.95

Paperback

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