Introduction to Analysis
by Irena Swanson
Publisher: Purdue University 2020
Number of pages: 353
Description:
In this course, students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.
Download or read it online for free here:
Download link
(1.8MB, PDF)
Similar books
![Book cover: Lectures on Disintegration of Measures](images/7355.jpg)
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.
(10680 views)
![Book cover: Theory of the Integral](images/3776.jpg)
by Stanislaw Saks - Polish Mathematical Society
Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure.
(16731 views)
![Book cover: Semi-classical analysis](images/5107.jpg)
by Victor Guillemin, Shlomo Sternberg - Harvard University
In semi-classical analysis many of the basic results involve asymptotic expansions in which the terms can by computed by symbolic techniques and the focus of these lecture notes will be the 'symbol calculus' that this creates.
(13180 views)
![Book cover: Introduction to Methods of Applied Mathematics](images/1020.jpg)
by Sean Mauch - Caltech
Advanced mathematical methods for scientists and engineers, it contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations.
(19682 views)