Books in the Mathematical Guides series

A second edition of this clear and readable text, introducing the basic topics of an introductory abstract algebra course. A wide variety of exercises and worked examples are provided. This edition has new sections on Polynomials, Finite Arithmetic and Complex Numbers.

A second edition of this text for science and engineering undergraduates which introduces the mathematical techniques and tools needed to solve the mathematical problems they will face on the first year of their course.

Hints are provided, but the book aims to build confidence and understanding in all topics. This second edition has two new substantial chapters, covering integration and powere series, and is updated throughout, taking into account changes in notation.

This textbook offers a carefully paced and sympathetic treatment of linear algebra, assuming knowledge only of the basic notation and elementary ideas of set theory. It progresses gradually to the more powerful and abstract notions of linear algebra, providing exercises which test and develop the reader's understanding at the end of each section.