Fundamental Ideas of Analysis (Paperback)

Michael C. Reed

ISBN 10: 0471159964 / ISBN 13: 9780471159964

Published by John Wiley & Sons Inc, New York, 1997

About this Item

Paperback. The ideas and methods of mathematics, long central to the physical sciences, now play an increasingly important role in a wide variety of disciplines. Analysis provides theorems that prove that results are true and provides techniques to estimate the errors in approximate calculations. The ideas and methods of analysis play a fundamental role in ordinary differential equations, probability theory, differential geometry, numerical analysis, complex analysis, partial differential equations, as well as in most areas of applied mathematics. The standard topics for a one-term undergraduate real analysis course are covered in this book. In addition, examples are given that show the ways in which real analysis is used in ordinary and partial differential equations, probability theory, numerical analysis, and number theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780471159964

Bibliographic Details

• Title: Fundamental Ideas of Analysis (Paperback)
• Publisher: John Wiley & Sons Inc, New York
• Publication Date: 1997
• Language: English
• ISBN 10: 0471159964
• ISBN 13: 9780471159964
• Binding: Paperback
• Edition: 1st Edition
• Condition: new

About this title

Synopsis

The ideas and methods of mathematics, long central to the physical sciences, now play an increasingly important role in a wide variety of disciplines. Analysis provides theorems that prove that results are true and provides techniques to estimate the errors in approximate calculations. The ideas and methods of analysis play a fundamental role in ordinary differential equations, probability theory, differential geometry, numerical analysis, complex analysis, partial differential equations, as well as in most areas of applied mathematics.

About the Author

Michael C. Reed received the Bachelor’s degree in mathematics from Yale (1963) and the Ph.D. in mathematics from Stanford (1969). He has worked in many branches of mathematics including functional analysis, mathematical physics, partial differential equations, and the applications of mathematics to human physiology and medicine. He is currently Arts and Sciences Distinguished Professor of Mathematics at Duke University, where he uses Fundamental Ideas of Analysis to teach undergraduate and graduate students.