Mathematics for the Physical Sciences
by Leslie Copley
Publisher: De Gruyter Open 2014
Number of pages: 446
A text on advanced mathematical methods with numerous applications, detailed derivations and solutions, and a unique range of practical topics. 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. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems.
Home page url
Download or read it online for free here:
by John Hutchinson - Australian National University
The goal is to introduce you to contemporary mainstream 20th and 21st century mathematics. If you are doing this course you will have a strong interest in mathematics, and probably be in the top 5% or so of students academically.
by Michiel Hazewinkel - Springer
The Online Encyclopaedia of Mathematics is the most up-to-date and comprehensive English-language graduate-level reference work in the field of mathematics. It comprises more than 8,000 entries and illuminates nearly 50,000 notions in mathematics.
by Patrick Juola, Stephen Ramsay - Zea Books
Scholars of all stripes are turning their attention to materials that represent enormous opportunities for the future of humanistic inquiry. The purpose of the book is to impart the concepts that underlie the mathematics they are likely to encounter.
by Evan Chen - MIT
The book is aimed at making higher math accessible to high school students. Topics: Basic Algebra and Topology; Linear Algebra; Multivariable Calculus; Groups and Rings; Complex Analysis; Quantum Algorithms; Algebraic Topology; Category Theory; etc.