TY - BOOK AU - Cohen,Graeme Laurence TI - A course in modern analysis and its applications T2 - Australian Mathematical Society lecture series SN - 9780521526272 AV - QA300 COH PY - 2003/// KW - Mathematical analysis N1 - 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 N2 - 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 ER -