A course in modern analysis and its applications /
Cohen, Graeme Laurence.
A course in modern analysis and its applications / created by Graeme L. Cohen. - Cambridge ; New York : Cambridge University Press, 2003. - xiii, 333 pages : illustrations ; 23 cm. - Australian Mathematical Society lecture series ; 17 .
Includes bibliographical references and index.
Preface; 1. Prelude to modern analysis; 2. Metric spaces; 3. The fixed point theorem and its applications; 4. Compactness; 5. Topological spaces; 6. Nomed vector spaces; 7. Mappings on normed spaces; 8. Inner product spaces; 9. Hilbert spaces; References; Index.
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.
9780521526272
Mathematical analysis.
QA300 COH
A course in modern analysis and its applications / created by Graeme L. Cohen. - Cambridge ; New York : Cambridge University Press, 2003. - xiii, 333 pages : illustrations ; 23 cm. - Australian Mathematical Society lecture series ; 17 .
Includes bibliographical references and index.
Preface; 1. Prelude to modern analysis; 2. Metric spaces; 3. The fixed point theorem and its applications; 4. Compactness; 5. Topological spaces; 6. Nomed vector spaces; 7. Mappings on normed spaces; 8. Inner product spaces; 9. Hilbert spaces; References; Index.
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.
9780521526272
Mathematical analysis.
QA300 COH