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
Set Theory and Topology: An Introduction to the Foundations of Analysisby 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.
(12227 views)
Semi-classical analysisby 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.
(12937 views)
Discrete Oscillation Theoryby Ravi P. Agarwal, at al. - Hindawi Publishing Corporation
This book is devoted to a rapidly developing branch of the qualitative theory of difference equations with or without delays. It presents the theory of oscillation of difference equations, exhibiting classical as well as recent results in that area.
(12868 views)
Multivector Differential Calculusby Eckhard Hitzer - arXiv
This paper treats the fundamentals of the multivector differential calculus part of geometric calculus. The multivector differential is introduced, followed by the multivector derivative and the adjoint of multivector functions.
(10859 views)