A Course in Modern Analysis and its Applications (Australian Mathematical Society Lecture Series) - Softcover

Cohen, Graeme

Softcover

ISBN 10: 0521526272 ISBN 13: 9780521526272

Publisher: Cambridge University Press, 2003

Synopsis

Designed for one-semester courses at the senior undergraduate level, this 2003 book will appeal to mathematics undergraduates, to mathematics teachers, and to others who need to learn some mathematical analysis for use in other areas such as engineering, physics, biology or finance. Topics such as completeness and compactness are approached initially through convergence of sequences in metric space, and the emphasis remains on this approach. However, the alternative topological approach is described in a separate chapter. This gives the book more flexibility, making it especially useful as an introduction to more advanced areas such as functional analysis. Nominal divisions of pure and applied mathematics have been merged, leaving enough for students of either inclination to have a feeling for what further developments might look like. Applications have been included from such fields as differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.

About this title

Review

'The book can be warmly recommended to all instructors of graduate and undergraduate courses in analysis, as well as for interested students.' Acta Scientiarum Mathematicarum

Book Description

Designed for one-semester courses for senior undergraduates, this 2003 book approaches topics initially through convergence of sequences in metric space. However, the alternative topological approach is also described. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2003
• Language: English
• ISBN 10: 0521526272
• ISBN 13: 9780521526272
• Binding: Paperback
• Edition number: 1
• Number of pages: 348