Introductory Mathematics: Algebra And Analysis (Springer Undergraduate Mathematics Series) - Softcover

Smith, Geoffrey C.

Softcover

ISBN 10: 3540761780 ISBN 13: 9783540761785

Publisher: Springer, 2008

Synopsis

This text provides a lively introduction to pure mathematics. It begins with sets, functions and relations, proof by induction and contradiction, complex numbers, vectors and matrices, and provides a brief introduction to group theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with continuity and functions. The book features numerous exercises of varying difficulty throughout the text.

About this title

Synopsis

This text provides a self-contained introduction to Pure Mathematics. The style is less formal than in most text books and this book can be used either as a first semester course book, or as introductory reading material for a student on his or her own. An enthusiastic student would find it ideal reading material in the period before going to University, as well as a companion for first-year pure mathematics courses. The book begins with Sets, Functions and Relations, Proof by induction and contradiction, Complex Numbers, Vectors and Matrices, and provides a brief introduction to Group Theory. It moves onto analysis, providing a gentle introduction to epsilon-delta technology and finishes with Continuity and Functions. It provides all that you have to do to make the calculus work. Geoff Smith's book is based on a course tried and tested on first-year students over several years at Bath University. Exercises are scattered throughout the book and there are extra exercises on the Internet.

Edition details

• Publisher: Springer
• Publication date: 2008
• Language: English
• ISBN 10: 3540761780
• ISBN 13: 9783540761785
• Binding: Paperback
• Edition number: 1
• Number of pages: 232