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A Primer on Real Analysis, by Alan Sultan
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From an intuitive point of view with pictures to support the ideas, this beginner's book on analysis lays the groundwork for future work in advanced mathematics. Very detailed proofs of theorems as well as several examples to illustrate each concept take the reader slowly from rudimentary results to very sophisticated results. Complete solutions are given for virtually all of the exercises in the book making this an ideal book for self study and for use in the classroom.
- Sales Rank: #392751 in Books
- Published on: 2014-10-19
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x .63" w x 7.00" l, 1.08 pounds
- Binding: Paperback
- 278 pages
About the Author
Alan Sultan is a professor of mathematics at Queens College. In addition to this text, he is the primary author of the textbooks "Linear Programming: In Introduction with Applications" originally published by Academic press, and "The Mathematics That Every Secondary School Math Teacher Needs to Know" published by Routledge. He is a secondary author of "Implementing the Common Core State Standards through Mathematical Problem Solving: High School" and Implementing the Common Core State Standards through Mathematical Problem Solving: Grades 6-8" both published by NCTM. He is also an author or coauthor of about thirty five research and expository articles as well as the recipient of grants and teaching awards including the Queens College Presidential Teaching Award for Excellence in Teaching.
Most helpful customer reviews
11 of 11 people found the following review helpful.
An Excellent Companion Text for any Analysis Course
By Gu Yan Li
I recently had a chance to read through Alan Sultan's "Primer on Real Analysis", and I must say that of all the entry-level texts on the subject, this is far-and-away the most user-friendly.
Dr. Sultan takes a difficult subject and gives a treatment that is both thorough and easy-to-understand. He speaks in a conversational tone and yet never skimps on the particulars. Many texts (Lang, Royden, etc.) assume reader knowledge well beyond that of the typical college undergrad or early grad student. Not this text- if you are an expert analyst you may find little use for this book beyond that as a reference, but if you are new to the subject, this book may be a life-saver. The text explains each important concept in sufficient detail, supplying pictures and additional exposition when such extras are most needed. Sultan provides the intuition behind each proof and often outlines the plan he will use step by step. I know of no other book that is so thorough and student-oriented.
While the text is accessible to both the average undergraduate and early graduate math student, newcomers to the subject (or those who have struggled with needlessly dense "standard" texts) will find the most to love. As the title implies, this is a "primer", and not meant to be a be-all-end-all analysis bible. That having been said, it does what it does VERY well, and for the price, it's well worth the investment.
A must-have for fledgling analysis students!
13 of 14 people found the following review helpful.
Most math books are not written to teach. Maybe ...
By Gale Gray
Most math books are not written to teach. Maybe they are written to demonstrate a facility with symbols! Of course most publishers
don't know this! This book is actually a book that takes teaching seriously! And the result more than accomplishes its objectives!
Maybe this type of book will catch on in the academic environment! Imagine that a text that is actually trying to teach something!
Professor Sultan I think you have discovered a real need of students everywhere! I hope you continue in your endeavor !
7 of 8 people found the following review helpful.
Pick This Up!
By cbone1763
Extremely underrated. This book plus "a Real Analysis Problem Book by Aksoy will take you above and beyond 2 semesters of Real Analysis
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