David Towers

Guide to Abstract Algebra is a comprehensive and accessible text covering the basic topics of an introductory abstract algebra course. New concepts are introduced gradually and illustrated by a variety of worked examples. New features in this second edition are:· Two new chapters on Number Systems and Polynomials· Proofs by induction are introduced through a new section on sequences and recurrence relations· Fully updated to reflect the needs of today's first year undergraduate studentsThis book is ideal for first year undergraduate courses in Mathematics or Computer Science.

This new edition aims to guide undergraduate students through the first year of their mathematics course. It provides a rigorous introduction to Analysis, which takes into account the difficulties students often face when making the transition from A-level mathematics to this higher level. Plenty of examples are provided, some of which have full, detailed solutions, and others which encourage the student to discover and investigate the ideas themselves. 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.