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[PDF] A Companion to Analysis: A Second First and First Second Course in Analysis (Graduate Studies in Mathematics)

ISBN: 0821834479



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PDF A Companion to Analysis A Second First and First Second Course in Analysis Graduate Studies in Mathematics


Author: T. W. Korner | Publisher: American Mathematical Society | Category: Mathematics | Language: English | Page: 590 | ISBN: 0821834479 | ISBN13: 9780821834473 |

Description: Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they work together. This book provides those students with the coherent account that they need. A Companion to Analysis explains the problems that must be resolved in order to procure a rigorous development of the calculus and shows the student how to deal with those problems. Readers who work through this text will be ready for courses such as measure theory, functional analysis, complex analysis, and differential geometry. Moreover, they will be well on the road that leads from mathematics student to mathematician. An appendix contains a large number of accessible but non-routine problems that will help students advance their knowledge and improve their technique.

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