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Introductory Mathematics, Algebra and Analysis (Springer Undergraduate Mathematics Series)by Geoff C. Smith
Synopses & Reviews
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.
Providing a self-contained introduction to pure mathematics, this informally-written book is meant to bridge the gap between high school and university-level mathematics. The author uses a lively writing style and provides interesting material for readers looking for a primer in mathematics.
This book introduces the reader to pure mathematics and bridges the gap between school and university work. The text combines humour and insight, making it a less formal and more lively read than most other textbooks.
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.
Table of Contents
Preface.- Sets, Functions and Relations.- Proof.- Complex Numbers.- Vectors and matrices.- Group Theory.- Sequences and series.- Continuity and functions.- Index.
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