Set Theory and Topology: An Introduction to the Foundations of Analysis
by Felix Nagel
Publisher: arXiv 2013
Number of pages: 160
Description:
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. Starting from ZFC, the exposition in this first part includes relation and order theory as well as a construction of number systems.
Download or read it online for free here:
Download link
(multiple PDF files)
Similar books
Reader-friendly Introduction to the Measure Theoryby Vasily Nekrasov - Yetanotherquant.de
This is a very clear and user-friendly introduction to the Lebesgue measure theory. After reading these notes, you will be able to read any book on Real Analysis and will easily understand Lebesgue integral and other advanced topics.
(7513 views)
Bernoulli Polynomials and Applicationsby Omran Kouba - arXiv
In these notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications are presented.
(3515 views)
A Course in Mathematical Analysisby E. Goursat, O. Dunkel, E.R. Hedrick - Ginn & company
Goursat's three-volume 'A Course in Mathematical Analysis' remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.
(4578 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.
(6186 views)