Calculus: A Modern, Rigorous Approach
by Horst R. Beyer
Number of pages: 805
Contents: Basics; Limits and Continuous Functions; Differentiation; Applications of Differentiation; Riemann Integration. Techniques of Integration; Improper Integrals; Series of Real Numbers; Series of Functions; Analytical Geometry and Elementary Vector Calculus; Vector-valued Functions of Several Variables; Derivatives of Vector-valued Functions of Several Variables; Applications of Differentiation; The Riemann Integral in n-dimensions; Vector Calculus; Generalizations of the Fundamental Theorem of Calculus; etc.
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by Wilfred Kaplan, Donald J. Lewis - University of Michigan Library
The first volume covers vectors in the plane and one-variable calculus. The two volumes provide material for a freshman-sophomore course in calculus in which linear algebra is gradually introduced and blended with the calculus.
This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.
by Marcel B. Finan - Arkansas Tech University
This supplement consists of the author's lectures of a freshmen-level mathematics class offered at Arkansas Tech University. The text represents an effort to produce exposition that is accessible to a student at the freshmen or high school levels.
by Samuel Keller - D. Van Nostrand Company
Much that is ordinarily included in treatises on Analytics and Calculus, has been omitted from this book, not because it was regarded as worthless, but because it was considered quite unnecessary for the student of engineering.