Introductory Mathematics: Algebra and Analysis / by Geoff Smith.

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 re...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Smith, Geoff
Format: eBook
Language:English
Published: London : Springer London : Imprint : Springer, 1998.
Series:Springer undergraduate mathematics series.
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MARC

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245 1 0 |a Introductory Mathematics: Algebra and Analysis /  |c by Geoff Smith. 
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300 |a 1 online resource (XVI, 216 pages 19 illustrations) 
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505 0 |a Preface -- Sets, Functions and Relations -- Proof -- Complex Numbers -- Vectors and matrices -- Group Theory -- Sequences and series -- Continuity and functions -- Index. 
520 |a 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, or hat 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. 
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