Mathematics for the Physical Sciences

by Leslie Copley

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. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and “special functions” of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green’s functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations.

Genres: Mathematics, Science, Physics, Ebooks

446 pages, Kindle Edition

First published January 1, 2015

Reviews

[Molly · Rating 5 out of 5]

Great resource on a budget.

I am rating this textbook as 5 stars because not only was it incredibly helpful in the project I'm working on, but also free! Thank you to the author and publishers, and all those who supported them and continue to support and encourage them. Highly recommended !!

[Reg · Rating 5 out of 5]

Super Free Math Book!

Amazing content for a free book. A lot of work done to write this too. Thank you! I love it! 😁

[Daniel Boksjö · Rating 4 out of 5]

Good book but i need to read it again to actually grasp it. 😊