Some Fundamental Theorems in Mathematics
by Oliver Knill
Publisher: arXiv.org 2018
Number of pages: 133
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.
Home page url
Download or read it online for free here:
This book is about the topic of mathematical analysis, particularly in the field of engineering. This will build on topics covered in Probability, Algebra, Linear Algebra, Calculus, Ordinary Differential Equations, and others.
- Kluwer Academic Publishers
An open access resource designed specifically for the mathematics community. With more than 8,000 entries, illuminating 50,000 notions in mathematics, Encyclopaedia was the most up-to-date graduate-level reference work in the field of mathematics.
by Christoph Kirsch - University of North Carolina
Topics covered: Introduction to boundary value problems for the diffusion, Laplace and wave partial differential equations; Bessel functions and Legendre functions; Introduction to complex variables including the calculus of residues.
by Leslie Copley - De Gruyter Open
A text on advanced mathematical methods with numerous applications. The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions.