Overview
This book is a one-semester text for an introduction to real analysis. The author's primary aims are to develop ideas already familiar from elementary calculus in a rigorous manner and to help students deeply understand some basic but crucial mathematical ideas, and to see how definitions, proofs, examples, and other forms of mathematical apparatus work together to create a unified theory. A key feature of the book is that it includes substantial treatment of some foundational material, including general theory of functions, sets, cardinality, and basic proof techniques.
Full Product Details
Author: Paul Zorn (St. Olaf College, Northfield, Minnesota, USA) ,
Paul Zorn (St. Olaf College, Northfield, Minnesota, USA)
Publisher: Taylor & Francis Inc
Imprint: A K Peters
Dimensions:
Width: 18.70cm
, Height: 2.30cm
, Length: 23.50cm
Weight: 0.694kg
ISBN: 9781568814155
ISBN 10: 1568814151
Pages: 362
Publication Date: 23 January 2010
Audience:
College/higher education
,
Undergraduate
,
Postgraduate, Research & Scholarly
Replaced By: 9781138033016
Format: Hardback
Publisher's Status: Out of Print
Availability: Out of stock
Reviews
This is a textbook designed to teach students who are new to analysis what it's all about. ... The path Zorn takes is based on several very reasonable principles. These include: building on calculus basics; focusing on mathematical proof, structure and language; staying with the basics; offering many examples and many solved exercises; and gradually increasing technical sophistication. ... There are plenty of exercises. They tend to follow a pattern where an exercise that is not completely straightforward is broken into multiple parts to guide the student to a solution. -- Bill Satzer, MAA Reviews, June 2010
This is a textbook designed to teach students who are new to analysis what it's all about. ... The path Zorn takes is based on several very reasonable principles. These include: building on calculus basics; focusing on mathematical proof, structure and language; staying with the basics; offering many examples and many solved exercises; and gradually increasing technical sophistication. ... There are plenty of exercises. They tend to follow a pattern where an exercise that is not completely straightforward is broken into multiple parts to guide the student to a solution. -- Bill Satzer, MAA Reviews, June 2010
Author Information
Paul Zorn was born in India and completed his primary and secondary schooling there. He did his undergraduate work at Washington University in St. Louis and his Ph.D., in complex analysis, at the University of Washington, Seattle. Since 1981 he has been on the mathematics faculty at St. Olaf College, in Northfield, Minnesota, where he now chairs the Department of Mathematics, Statistics, and Computer Science.
