Introduction to Analysis
by Ray Mayer
Publisher: Reed College 2006
Number of pages: 291
Contents: Notation, Undefined Concepts, Examples; Fields; Induction and Integers; Complexification of a Field; Real Numbers; Complex Numbers; Complex Sequences; Continuity; Properties of Continuous Functions; The Derivative; Infinite Series; Power Series; etc.
Home page url
Download or read it online for free here:
by L. Schwartz - Tata Institute of Fundamental Research
These Notes cover I) disintegration of a measure with respect to a single sigma-algebra, and in part II, measure valued supermartingales and regular disintegration of a measure with respect to an increasing right continuous family of sigma-algebras.
by J.W. Young, F.M. Morgan - The Macmillan Company
The book presents a course suitable for students in the first year of our colleges, universities, and technical schools. It presupposes on the part of the student only the usual minimum entrance requirements in elementary algebra and plane geometry.
by John Avery - Learning Development Institute
The book places emphasis on Mathematics as a human activity and on the people who made it. From the table of contents: Historical background; Differential calculus; Integral calculus; Differential equations; Solutions to the problems.
by Felix Nagel - arXiv
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.