A Problem Text in Advanced Calculus
by John M. Erdman
Publisher: Portland State University 2008
Number of pages: 377
This is a text on Advanced Calculus written for a more "theoretical" course, usually taken by majors in mathematics and physical sciences (and often called elementary analysis or intermediate analysis), it concentrates on conceptual development and proofs. It is intended for students of mathematics and others who have completed (or nearly completed) a standard introductory calculus sequence and who wish to understand where all those rules and formulas come from.
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by Marcel B. Finan - Arkansas Tech University
These are lecture notes of a freshmen-level and sophomore-level mathematics class offered at Arkansas Tech University. The text represents a serious effort to produce exposition that is accessible to a student at freshmen or sophomore levels.
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 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 Horst R. Beyer
Contents: Limits and Continuous Functions; Differentiation; Riemann Integration; Improper Integrals; Series of Real Numbers; Series of Functions; Analytical Geometry; The Riemann Integral in n-dimensions; Vector Calculus; etc.