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.
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by Shanti Narayan - S. Chand And Company
This book is meant for students preparing for the B.A. and B.Sc. examinations. The treatment of the subject is rigorous but no attempt has been made to state and prove the theorems in generalised forms and under less restrictive conditions.
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.
by Aaron Maxwell - Lulu.com
Integrate Your Brain teaches how talented mathematicians utilize their normal, human mental ability to tackle calculus. You are gently trained in the fundamental skills, and shown step by step how to put them into action yourself.
by Leah Edelstein-Keshet - University of British Columbia
Contents: Areas, volumes and simple sums; Fundamental Theorem of Calculus; Applications of the definite integral to velocities and rates, calculating volume, mass, and length; Techniques of Integration; Differential Equations; Infinite series...