Mathematical Guides – serie

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. Full answers are given for most of the exercises to facilitate self-paced study.

A sound knowledge of Mechanics is fundamental to an understanding of much of physics and engineering. This book takes the reader through the fundamentals of the subject 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 to produce a more comprehensive text that serves the needs of undergraduate students of mathematics, physics and engineering.

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. Updated and revised by Camilla Jordan, the book now has additional examples and 'Aims and Objectives' sections. As with other titles in the Mathematical Guides series, this book is designed to enable students to acquire confidence and provides a solid foundation for further study.

A basic introduction to Mathematical Modelling, this book encourages the reader to participate in the investigation of a wide variety of modelling examples. These are carefully paced so that the readers can identify and develop the skills which are required for successful modelling. The examples also promote an appreciation of the enormous range of problems to which mathematical modelling skills can be usefully applied.

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.

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. Full answers are given for most of the exercises to facilitate self-paced study.

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.

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. Updated and revised by Camilla Jordan, the book now has additional examples and ''Aims and Objectives'' sections. As with other titles in the Mathematical Guides series, this book is designed to enable students to acquire confidence and provides a solid foundation for further study.