Differential and Integral Calculus
By R.Courant
Professor of Mathematics in New York University
This is the second edition of this book which is published in 1937. The first one was published in 1934. This book contains Continuum of Numbers, the concept of function, more detailed study of the Elementary Function, Functions of an Integral Variable , Sequences of Numbers, The concept of Limit of a Sequence, The concept of Limit where the variable is Continuous & The concept of Continuity.
Main Chapters:
11. The Fundamental Ideas of The Integral and Differential Calculus
22. Differentiation and Integration of The Elementary Functions
33. Further Development of The Integral Calculus
44. TAYLOR’s Theorem and Approximate Expression of Function By Polynomials
55. Infinite Series and Other Limiting Processes
66. FOURIER Series
77. A Sketch of The Theory of Functions of Several Variables
88. The Differential Equation for The Simplest Types of Vibration
That’s All you can find from that Book.
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