An Introduction to Analysis (International Series in Mathematics) - Hardcover

Bilodeau, Gerald G.; Thie, Paul R; Keough, G. E.

Hardcover

ISBN 10: 0763774928 ISBN 13: 9780763774929

Publisher: Jones & Bartlett Learning, 2009

Synopsis

Part of the Jones and Bartlett International Series in Advanced MathematicsCompletely revised and update, the second edition of An Introduction to Analysis presents a concise and sharply focused introdution to the basic concepts of analysis from the development of the real numbers through uniform convergences of a sequence of functions, and includes supplementary material on the calculus of functions of several variables and differential equations. This student-friendly text maintains a cautious and deliberate pace, and examples and figures are used extensively to assist the reader in understanding the concepts and then applying them. Students will become actively engaged in learning process with a broad and comprehensive collection of problems found at the end of each section.

About this title

From the Publisher

Primary Course: Engineering Math/Statistics.
Secondary Market: Electrical Engineering - Engineering Math/Statistics - Probability and Statistics.
The use of real data to illustrate concepts from the book.

Development and exploration of examples and concepts using MATLAB and MathCAD.

Development of spectral density concepts.
Development of techniques for constructing random sequences of numbers with specified probability density function.
Streamlined presentation of rudimentary topics allows you to develop the foundations of calculus in a short period of time.
Numerous examples demonstrate abstract statements in simpler numerical settings.
More than 1,200 varied exercises test comprehension of the developed concepts and promote creative problem-solving skills. For instance, students are required to break down problems into more manageable parts, and many true/false questions require students to first hypothesize and then experiment in order to determine if the correct response calls for a proof or for a counter example.
Advanced topics, such as Cauchy sequences and uniform convergence, may be previewed if time permits and if you feel your students are prepared.
This text complements our more sophisticated analysis texts by Rudin and Lewin.
Use of modern concepts.

Edition details

• Publisher: Jones & Bartlett Learning
• Publication date: 2009
• Language: English
• ISBN 10: 0763774928
• ISBN 13: 9780763774929
• Binding: Hardcover
• Edition number: 2
• Number of pages: 334