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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.

This book takes the reader through the fundamentals of mechanics in as informal a manner as possible, without sacrificing mathematical rigour. The second edition has new material on orbits, rigid body mechanics and non-linear dynamics.

This book is a gentle and sympathetic introduction to many of the problems of scientific computing, and the wide variety of methods used for their solutions. It gives an appreciation of the need for numerical methods for the solution of different types of problem, and discusses basic approaches.

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.

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.

A basic introduction to Mathematical Modelling, this book encourages the reader to participate in the investigation of a wide variety of modelling examples. The examples also promote an appreciation of the enormous range of problems to which mathematical modelling skills can be usefully applied.

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.