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Calculus / by Amber Habib.

By: Material type: TextTextPublication details: Cambridge, UK : Cambridge University Press, c2022.Description: xii, 391 pages : b&w illus. ; 24 cmISBN:
  • 9781009159692
Subject(s): DDC classification:
  • Ref 515 H11c 2022
Contents:
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.
Summary: "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." -- Provide by publisher.
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Holdings
Item type Current library Collection Call number Status Barcode
Books Books ASCOT Library - Zabali Campus Reference Reference Ref 515 H11c 2022 C1 (Browse shelf(Opens below)) Available Ref5150004714
Books Books ASCOT Library - Zabali Campus Reference Reference Ref 515 H11c 2022 C2 (Browse shelf(Opens below)) Available Ref5150004715
Browsing ASCOT Library - Zabali Campus shelves, Shelving location: Reference, Collection: Reference Close shelf browser (Hides shelf browser)
Ref 510.285 L55m 2023 Mathematica beyond mathematics: the wolfram language in the real world / Ref 512 G97c 2023 04600 College algebra / Ref 515 H11c 2022 C1 Calculus / Ref 515 H11c 2022 C2 Calculus / Ref 515 M26c 2023 Calculus: an introduction / Ref 515 R95c 2023 C1 Calculus all-in-one for dummies / Ref 515 St49c 2023 C1 Calculus: concepts and contexts /

Includes bibliographical references and index.

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.

"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." -- Provide by publisher.

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