Both a stepping stone to higher analysis courses and a foundation for deeper reasoning in applied mathematics, this book provides a broad foundation in real analysis. In connection with this, within the chapters, readers are pointed to numerous accessible articles from The College Mathematics Journal and The American Mathematical Monthly. Axioms are presented with an emphasis on their distinguishing characteristic, culminating with the axioms that define the reals. Set theory is another theme found in this book, running underneath the rigorous development of functions, sequences and series, and ending with chapters on transfinite cardinal numbers and basic pointset topology. Differentiation and integration are developed rigorously with the goal of forming a firm foundation for deeper study. A historical theme interweaves throughout the book, with many quotes and accounts of interest to all readers. Over 600 exercises, dozens of figures, an annotated bibliography, and several appendices help the learning process.
About Luis Moreno
Luis F. Moreno received his B.A. in mathematics at Rensselaer Polytechnic Institute in 1973, an M.S. in mathematics education at State University of New York, Albany in 1976, and an M.A. in mathematics at State University of New York, Albany in 1982. He belongs to the Mathematical Association of America (Seaway Section 2nd vicechair in 2000) and New York State Mathematics Association of TwoYear Colleges, being campus liaison for both organizations. He teaches at Broome Community College where, besides the standard undergraduate courses through linear algebra and real analysis, he has taught courses in statistics, statistical quality control, and logic.Details Book
Author  :  Luis Moreno 
Publisher  :  Mathematical Association of America 
Data Published  :  09 July 2015 
ISBN  :  1939512050 
EAN  :  9781939512055 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  678 pages 
Age +  :  18 years 
Language  :  English 
Rating  : 
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