Some Fundamental Theorems in Mathematics
by Oliver Knill
Publisher: arXiv.org 2018
Number of pages: 133
Description:
An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 135 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide without leading to panic.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books

by Jean Gallier
From the table of contents: Linear Algebra; Determinants; Basics of Affine Geometry; Polynomials, PID's and UFD's; Topology; Differential Calculus; Zorn’s Lemma and Some Applications; Gaussian elimination, LU-factoring and Cholesky-factoring.
(22702 views)

by Florentin Smarandache, at al. - arXiv
Throughout this book, the authors discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics, etc. Some parts of these problems may be found useful for scholarly stimulation.
(22303 views)

by Yan Min Choo
Includes 300 exercises and all 2006-2015 A-level exam questions -- all worked solutions included. Brief contents: I. Functions and Graphs. II. Sequences and Series. III. Vectors IV. Complex Numbers. V. Calculus. VI. Probability and Statistics.
(9317 views)

by David B. Surowski - Kansas State University
An advanced mathematics textbook accessible by and interesting to a relatively advanced high-school student. Topics: geometry, discrete mathematics, abstract algebra, series and ordinary differential equations, and inferential statistics.
(13961 views)