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A course in calculus and real analysis

By: Contributor(s): Material type: TextTextSeries: Undergraduate texts in mathematicsPublication details: Switzerland : Springer, ©2025Edition: 2nd edDescription: ix, 538 p. ; 24 cmISBN:
  • 9783031916502
Subject(s): DDC classification:
  • 515 GHO-C
Contents:
1. Numbers and functions
2. Sequences
3. Continuity and limits
4. Differentiation
5. Applications of differentiation
6. Integration
7. Elementary transcendental functions
8. Applications and approximations of Riemann integrals
9. Infinite series and improper integrals
10. Sequences and series of functions, integrals depending on a parameter
Summary: This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus.
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Holdings
Item type Current library Collection Call number Status Notes Date due Barcode Item holds
Books Books IIITD General Stacks Mathematics 515 GHO-C (Browse shelf(Opens below)) Available Gifted by NBHM G02812
Total holds: 0

Includes bibliographical references, list of symbols, abbreviations and index

1. Numbers and functions

2. Sequences

3. Continuity and limits

4. Differentiation

5. Applications of differentiation

6. Integration

7. Elementary transcendental functions

8. Applications and approximations of Riemann integrals

9. Infinite series and improper integrals

10. Sequences and series of functions, integrals depending on a parameter

This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus.

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