Publisher: Wikibooks 2012
Number of pages: 193
This book is about the topic of mathematical analysis, particularly in the field of engineering. It attempts to be a companion piece to high-level engineering texts that will rely on a certain fundamental mathematical background among readers. This will build on topics covered in Probability, Algebra, Linear Algebra, Calculus, and Ordinary Differential Equations.
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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 Stephen Siklos - Open Book Publishers
The book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects. It is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in mathematics.
by Oliver Knill - arXiv.org
An expository 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.
by Wu-ting Tsai - National Taiwan University
Contents: Series; Vector Algebra; Matrix Algebra; Vector Calculus; Complex Variables; Trigonometry; Hyperbolic Functions; Limits; Differentiation; Integration; Differential Equations; Calculus of Variations; Functions of Several Variables; etc.