A Problem Text in Advanced Calculus
by John M. Erdman
Publisher: Portland State University 2008
Number of pages: 377
This is a text on Advanced Calculus written for a more "theoretical" course, usually taken by majors in mathematics and physical sciences (and often called elementary analysis or intermediate analysis), it concentrates on conceptual development and proofs. It is intended for students of mathematics and others who have completed (or nearly completed) a standard introductory calculus sequence and who wish to understand where all those rules and formulas come from.
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by W W L Chen - Macquarie University
These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.
by Harris Hancock - J. Wiley
Elliptic integrals originally arose in connection with the problem of the arc length of an ellipse. The author limits the monograph to the Legendre-Jacobi theory. He confines the discussion to the elliptic integrals of the first and second kinds.
by C. E. Love, E. D. Rainville - The MacMillan Company
This book presents a first course in the calculus. The text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without a multitude of details.
by Viktor Blasjo - Intellectual Mathematics
A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning. Always gives the most illuminating proofs possible, while standard books obscure key ideas under pedantic formalism.