by Benjamin Crowell
Number of pages: 207
This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. Proofs are given for all important results, but are often relegated to the back of the book, and the emphasis is on teaching the techniques of calculus rather than on abstract results.
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by Michael Corral - mecmath.net
This book covers calculus of a single variable. Contents: The Derivative, Derivatives of Common Functions, Topics in Differential Calculus, Applications of Derivatives, The Integral, Methods of Integration, Analytic Geometry and Plane Curves, etc.
by Jared Schlieper, Michael Tiemeyer - GALILEO, University System of Georgia
Calculus textbook with a typical schedule and content of the calculus sequence. Contents: Introduction to Calculus; Limits; Derivatives; Applications of Derivatives; Integration; Topics of Integration; Integration Applications; Sequences and Series.
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 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.