Introductory Mathematics: Algebra and Analysis
By: by Geoff Smith
Series: Springer Undergraduate Mathematics Series, 1615-2085; Springer undergraduate mathematics series
Publisher: Springer London; Imprint; Springer
Published: 1998
Place of publication: London
Language: eng
Format: [electronic resource] /
Number of pages: 216
ISBN-13: 9781447106197
Subjects: Mathematics; Global analysis (Mathematics); Algebra
Description: 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.
Table of contents: title: Preface; title: Sets, Functions and Relations; title: Proof; title: Complex Numbers; title: Vectors and matrices; title: Group Theory; title: Sequences and series; title: Continuity and functions; title: Index.