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Introduction to Analysis From Number to Integral

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ISBN-10: 0471589888

ISBN-13: 9780471589884

Edition: 1993

Authors: Jan Mikusinski, Piotr Mikusinski

List price: $181.95
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Description:

Based on the lifetime work of leading teacher and researcher Jan Mikusinacute;ski, this classroom-tested book provides a thorough grounding in mathematical analysis, calculus and mathematical proofing. It introduces natural numbers through a new mathematical approach; replaces the Riemann integral with the more general Lebesgue integral; and rigorously develops the real number system from four simple axioms of natural numbers. Additional features include a wider range of problems than other texts--including simple and routine as well as problems requiring more in depth creativity, answers to common questions, a new approach to the concept of equivalence relation which simplifies the construction of real numbers, and a large number of computational applications.
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Book details

List price: $181.95
Copyright year: 1993
Publisher: John Wiley & Sons, Incorporated
Publication date: 2/12/1993
Binding: Paperback
Pages: 290
Size: 8.00" wide x 9.50" long x 0.75" tall
Weight: 1.628
Language: English

Lokenath Debnath is Professor of the Department of Mathematics and Professor of Mechanical and Aerospace Engineering at the University of Central Florida in Orlando. He received his M.Sc. and Ph.D. degrees in pure mathematics from the University of Calcutta, and obtained D.I.C. and Ph.D. degrees in applied mathematics from the Imperial College of Science and Technology, University of London. He was a Senior Research Fellow at the University of Cambridge and has had visiting appointments to several universities in the United States and abroad. His many honors and awards include two Senior Fulbright Fellowships and an NSF Scientist award to visit India for lectures and research. Dr. Debnath is author or co-author of several books and research papers in pure and applied mathematics, and serves on several editorial boards for scientific journals. He is the current and founding Managing Editor of the International Journal of Mathematics and Mathematical Sciences.Piotr Mikusinski received his Ph.D. in mathematics from the Institute of Mathematics of the Polish Academy of Sciences. In 1983, he became visiting lecturer at the University of California at Santa Barbara, where he spent two years. He is currently a member of the faculty in the Department of Mathematics at the University of Central Florida in Orlando. His main research interests are the theory of generalized functions and real analysis. He has published many research articles and is co-author with his father, Jan Mikusinski, of An Introduction to Analysis: From Number to Integral.

Natural Numbers
Real Numbers
Functions
Sequences and Series
Complements to the Theory of Limits
Antiderivatives
The Lebesgue Integral
Hints and Answers
Index