# Book:Richard Courant/Differential and Integral Calculus/Volume 1/Second Edition

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## Richard Courant:

## Contents

## Richard Courant: *Differential and Integral Calculus, Volume $\text { I }$ (2nd Edition)*

Published $1934$, **Blackie** (translated by E.J. McShane).

### Subject Matter

### Contents

- Preface to the First German Edition

- Preface to the English Edition (R. Courant), Cambridge, England,
*June, 1934.*)

- Preface to the Second English Edition (R. Courant), New Rochelle, N.Y.,,
*June*, 1937.)

- Introductory Remarks

- Chapter I Introduction

- Appendix I

- Appendix II

- Chapter II The Fundamental Ideas of the Integral and Differential Calculus

- Appendix

- Chapter III Differentiation and Integration of the Elementary Functions

- Appendix

- Chapter IV Further Development of the Integral Calculus

- Appendix

- Chapter V Applications

- Appendix

- Chapter VI Taylor's Theorem and the Approximate Expression of Functions by Polynomials

- Appendix

- Chapter VII Numerical Methods

- Appendix

- Chapter VIII Infinite Series and Other Limiting Processes

- Appendix

- Chapter IX Fourier Series

- Appendix

- Chapter X A Sketch of the Theory of Functions of Several Variables

- Chapter XI The Differential Equations for the Simplest Types of Vibration

- Summary of Important Theorems and Formulæ
- Miscellaneous Examples
- Answers and Hints
- Index