The Calculus Integral
by Brian S. Thomson
Publisher: ClassicalRealAnalysis.com 2010
Number of pages: 303
The idea of the text is to introduce the standard material of an undergraduate course in integration theory in an unusual, but accessible, manner. The reader will achieve an understanding of the Newton integral, the Riemann integral, and (at a rudimentary level) the Lebesgue integral. Suitable for an honors course in calculus.
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by Richard H. Crowell, William E. Slesnick - W W Norton & Co Inc
Contents: Functions, Limits, and Derivatives; Conic Section; Integration; Logarithms and Exponential Functions; Trigonometric Functions; Techniques of Integration; The Definite Integral; Infinite Series; Geometry in the Plane; Differential Equations.
by R. Almukkahal, V. Cifarelli, C. Fan, L. Jarvis - CK-12 Foundation
From the table of contents: Functions, Limits, and Continuity; Derivatives; Applications of Derivatives; Integration; Applications of Definite Integrals; Transcendental Functions; Integration Techniques; Infinite Series.
by Andrew D. Hwang - Holy Cross
The author presents beautiful, interesting, living mathematics, as informally as possible, without compromising logical rigor. You will solidify your calculational knowledge and acquire understanding of the theoretical underpinnings of the calculus.
by Peter Saveliev - Intelligent Perception
This is a traditional first semester course in introductory calculus. The main goal is some familiarity with the derivative and its applications. Topics: Limits; Continuity; Limits; Differentiation; Maximum and minimum values of functions; Integral.