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Elementary Differential Equations presents the standard material in a first course on differential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and differential equations as a part of analysis. Differential equations is worth studying, rather than merely some recipes to be used in physical... more...

This book gives a self- contained treatment of linear algebra with many of its most important applications. It is very unusual if not unique in being an elementary book which does not neglect arbitrary fields of scalars and the proofs of the theorems. It will be useful for beginning students and also as a reference for graduate students and others who need an easy to read explanation of the important theorems of this subject. It presents a self-... more...

A study of basic analysis and related topics. It presents important theorems in measure and integration, an introduction to functional analysis, the big advanced calculus theorems about the Frechet derivative including the implicit function theorem, and other topics including fixed point theorems and applications, the Brouwer degree, and an introduction to the generalized Riemann integral. Although there are some abstract topics, the emphasis is on... more...