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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Format: | eBook |
Language: | English |
Published: |
London :
Springer London : Imprint : Springer,
1998.
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Series: | Springer undergraduate mathematics series.
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Subjects: |
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245 | 1 | 0 | |a Introductory Mathematics: Algebra and Analysis / |c by Geoff Smith. |
260 | |a London : |b Springer London : |b Imprint : |b Springer, |c 1998. | ||
300 | |a 1 online resource (XVI, 216 pages 19 illustrations) | ||
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490 | 1 | |a Springer Undergraduate Mathematics Series, 1615-2085. | |
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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