Introduction to calculus and analysis : Volume I

By: Richard CourantContributor(s): Fritz JohnMaterial type: TextTextPublication details: New York: Springer-Verlag, [c1989]Description: 661 pISBN: 978-3-540-65058-4Subject(s): MathematicsLOC classification: QA303Online resources: Click here to access online
Contents:
Chapter 1. Introduction Chapter 2. The Fundamental Ideas of the Integral and Differential Calculus Chapter 3. The Techniques of Calculus Chapter 4. Applications in Physics and Geometry Chapter 5.Taylor’s Expansion Chapter 6. Numerical Methods Chapter 7. Infinite Sums and Products Chapter 8. Trigonometric Series Chapter 9. The Fundamental Ideas of the Integral and Differential Calculus
Summary: Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471).---Summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA303 (Browse shelf (Opens below)) Available Billno:IN 001740; Billdate: 2016-10-27 00320
Total holds: 0

Chapter 1. Introduction
Chapter 2. The Fundamental Ideas of the Integral and Differential Calculus
Chapter 3. The Techniques of Calculus
Chapter 4. Applications in Physics and Geometry
Chapter 5.Taylor’s Expansion
Chapter 6. Numerical Methods
Chapter 7. Infinite Sums and Products
Chapter 8. Trigonometric Series
Chapter 9. The Fundamental Ideas of the Integral and Differential Calculus

Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471).---Summary provided by publisher

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