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 Raymond Benedict McClenon - Ginn and company
The book covers some parts of plane trigonometry and analytic geometry, followed by an introduction to the differential calculus, including differentiation of simpler algebraic functions and applications to problems of rates and maxima and minima.
by Paul Dawkins - Lamar University
These lecture notes should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics from the class. The notes assume a good knowledge of Calculus I topics including limits, derivatives and basic integration.
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 Kenneth Kuttler - Brigham Young University
The difference between advanced calculus and calculus is that all the theorems are proved completely. Routine skills are supposed to be mastered and have no place in advanced calculus which deals with the issues related to existence and meaning.