Calculus in Context
by James Callahan, et al.
Publisher: Five Colleges, Inc. 2008
Number of pages: 869
In this course you will be learning to use calculus both as a tool and as a language in which you can think coherently about the problems you will be studying. The computer or the graphing calculator is a tool that that you will need for this course, along with a clear head and a willing hand.
Home page url
Download or read it online for free here:
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 Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
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.
by K.D. Stroyan - Academic Press, Inc.
This is a fresh look at the foundations of calculus. The book will be useful reference for students who like the 'theorem - proof' approach to calculus, these proofs are completely rigorous in the sense of modern mathematics.