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.
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by Dan Sloughter
The book is on sequences, limits, difference equations, functions and their properties, affine approximations, integration, polynomial approximations and Taylor series, transcendental functions, complex plane and differential equations.
by J. Nicholas, J. Hunter, J. Hargreaves - University of Sydney
Table of contents: Functions (Definition of a function, Domain and range of a function, Specifying or restricting the domain of a function); More about functions; Piecewise functions and solving inequalities; Polynomials; Solutions to exercises.
by Kenneth Kuttler
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.
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.