Elementary Functions and Applications
by Arthur Sullivan Gale, Charles William Watkeys
Publisher: H. Holt & Co. 1920
Number of pages: 459
This book presents a coherent year's work in mathematics for college freshmen, consisting of a study of the elementary functions; algebraic and transcendental, and their applications to problems arising in various fields of knowledge. The treatment is confined to functions of one variable, with incidental exceptions, and complex values of the independent and dependent variables are excluded. The subject matter includes the essentials of plane trigonometry and topics from advanced algebra, analytic geometry, and calculus.
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by William V. Smith - Brigham Young University
Here is a free online calculus course. This is essentially an ordinary text, but you can read it online. There are lots of exercises and examples. The text is rigorous. We do calculus in both one and two variables at the same time.
by F.S. Woods, F.H. Bailey - Ginn and Company
The first part of the book brings together all methods for the graphical representation of functions of one variable, and analytic geometry of two dimensions. The transition to the calculus is made early through the discussion of slope and area ...
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 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.