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.
Download or read it online for free here:
by H. Jerome Keisler - Bodgen & Quigley
This is a calculus textbook at the college Freshman level based on infinitesimals. This approach puts the ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners than the more common approach via limits.
by Arthur Sullivan Gale, Charles William Watkeys - H. Holt & Co.
This book presents 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 ...
by David Guichard, Neal Koblitz
This textbook covers analytic geometry, derivative, transcendental functions, curve sketching, integration, sequences and series, three dimensions, vector functions, partial differentiation, multiple integration, and vector valculus.
by David Guichard - Lyryx
The book covers the standard Calculus I and II courses, with Calculus III under development. It is accessible to first year college and university students. The emphasis in this course is on problems -- doing calculations and story problems.