# A Concise Introduction to Analysis

### About the author

Before he retired, Stroock had been on the faculty of several universities, most recently M.I.T. The majority of his work has to do with analytic aspects of probability theory, especially the application of probability theory to partial differential equations. He is a member of the American Mathematical Society, the American Academy of Arts and Sciences, the National Academy of Sciences, and the Polish Academy of Arts and Sciences.*A Concise Introduction to Analysis*should appeal to upper level undergraduate mathematics students, graduate students in fields where mathematics is used, as well as to those wishing to supplement their mathematical education on their own. Wherever possible, an attempt has been made to give interesting examples that demonstrate how the ideas are used and why it is important to have a rigorous grasp of them.

226 pages; ISBN 9783319244693

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Title: A Concise Introduction to Analysis

Author: Daniel W. Stroock

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- Contents

- Academic > Mathematics > Differential equations > Difference equations
- Academic > Mathematics > Theory of functions > Functions of complex variables
- Academic > Mathematics > Theory of functions > Functions of real variables
- Academic > Mathematics > Probabilities. Mathematical statistics > Sequences (Mathematics)
- Academic > Mathematics > Probabilities. Mathematical statistics > Series, Infinite
- Academic > Mathematics > Algebra > Algebras, Linear
- Academic > Mathematics > Algebra > Associative rings
- Academic > Mathematics > General > Mathematics
- Academic > Mathematics > General > Mathematics; Problems, exercises, etc
- Academic > Mathematics > General > Geometry; Early works to 1800
- Academic > Mathematics > Analysis
- Mathematics > Calculus
- Mathematics > Algebra

### In the press

“The uniqueness of the order and choice of topics makes the book an excellent resource and/or supplement to an introductory analysis course. Summing Up: Highly recommended. Upper-division undergraduates, graduate students, and researchers/faculty.” (J. T. Zerger, Choice, Vol. 54 (1), September, 2016)

“Goal of this book is to establish the principles of mathematical analysis both for functions of real variables and for functions of a complex variable in the shortest possible way. … book can be read and understood without resorting to any external reference since the author provides detailed proofs of all results. … in each chapter one can find several examples of the theory discussed as well as a list of working exercises that will be useful to the reader.” (Julià Cufí, zbMATH 1337.26001, 2016)