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.
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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 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.
by William Neville Rose - Chapman
These two volumes form a most comprehensive and practical treatise on the subject. They show the direct bearing of all principles to engineering practice, and will prove a valuable reference work embracing all the mathematics needed by engineers.
by MacGregor Campbell - Annenberg Foundation
Mathematics Illuminated is a text for adult learners and high school teachers. It explores major themes of mathematics, from humankind's earliest study of prime numbers, to the cutting-edge mathematics used to reveal the shape of the universe.