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Introductory Mathematics, Algebra and Analysis (Springer Undergraduate Mathematics Series)by Geoff C. Smith
Synopses & ReviewsPublisher Comments:This text provides a selfcontained 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 firstyear 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 epsilondelta 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 firstyear students over several years at Bath University. Exercises are scattered throughout the book and there are extra exercises on the Internet.
Synopsis:Providing a selfcontained introduction to pure mathematics, this informallywritten book is meant to bridge the gap between high school and universitylevel mathematics. The author uses a lively writing style and provides interesting material for readers looking for a primer in mathematics.
Synopsis: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.
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 epsilondelta technology and finishes with continuity and functions. The book features numerous exercises of varying difficulty throughout the text.
Table of ContentsPreface. Sets, Functions and Relations. Proof. Complex Numbers. Vectors and matrices. Group Theory. Sequences and series. Continuity and functions. Index.
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