Logo

Calculus: A Modern, Rigorous Approach

Small book cover: Calculus: A Modern, Rigorous Approach

Calculus: A Modern, Rigorous Approach
by


Number of pages: 805

Description:
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:
Download link
(5.9MB, PDF)

Similar books

Book cover: Elementary Calculus: An Approach Using InfinitesimalsElementary Calculus: An Approach Using Infinitesimals
by - 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.
(13307 views)
Book cover: Calculus, Applications and TheoryCalculus, Applications and Theory
by
Calculus and many of its applications are discussed in this book. The reader should have a good understanding of algebra as well as geometry and trigonometry. There is also lots of non standard material, like some theorems of advanced calculus.
(20940 views)
Book cover: Calculus for the Life Sciences: A Modeling ApproachCalculus for the Life Sciences: A Modeling Approach
by - Iowa State University
This text is a product of a two-semester calculus course for life sciences students in which students gathered biological data in a laboratory setting that was used to motivate the concepts of calculus. The book contains data from experiments...
(3082 views)
Book cover: Differential and Integral CalculusDifferential and Integral Calculus
by - 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.
(10779 views)