by Jerrold E. Marsden, A. Weinstein
Publisher: Benjamin-Cummings Publishing Co. 1981
Number of pages: 246
This text presents an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. With the aid of this method, a definition of the derivative may be introduced in the first lecture of a calculus course for students who are familiar with functions and graphs. This book is for calculus instructors and students interested in trying an alternative to limits.
Home page url
Download or read it online for free here:
by Leif Mejlbro - BookBoon
Guidelines for solutions of problems concerning sequences and power series. It is not an alternative textbook, but it can be a useful supplement to the ordinary textbooks. The text presupposes some knowledge of calculus of functions in one variable.
by Silvanus P. Thompson - The MacMillan Company
A book for the mathematically eager who know some algebra. First published in 1910, overall a million copies have been sold. Most talk of continuum and its infinities is suppressed. A remarkable and user-friendly approach to the study of calculus.
by Benjamin Crowell
Short introductory text on differentiation and integration of functions of a single variable, and iterated integrals. The emphasis is on the techniques of calculus, although proofs are given for the important results at the back of the book.
by Augustus De Morgan - The Open Court Pub. Co.
The style is fluent and familiar; the treatment continuous and undogmatic. The main difficulties which encompass the early study of the Calculus are discussed in connexion with practical and historical illustrations which leave little to be desired.