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Linear Functional Analysis (Springer Undergraduate Mathematics Series) by Bryan P. Rynne, Martin A. Youngson is a nonfiction available to read on EtoBox.

What is Linear Functional Analysis (Springer Undergraduate Mathematics Series) about?

This Introduction To The Ideas And Methods Of Linear Functional Analysis Shows How Familiar And Useful Concepts From Finite-dimensional Linear Algebra Can Be Extended Or Generalized To Infinite-dimensional Spaces. Aimed At Advanced Undergraduates In Mathematics And Physics, The Book Assumes A Standard Background Of Linear Algebra, Real Analysis (including The Theory Of Metric Spaces), And Lebesgue Integration, Although An Introductory Chapter Summarizes The Requisite Material. The Initial Chapters Develop The Theory Of Infinite-dimensional Normed Spaces, In Particular Hilbert Spaces, After Which The Emphasis Shifts To Studying Operators Between Such Spaces. Functional Analysis Has Applications To A Vast Range Of Areas Of Mathematics; The Final Chapters Discuss The Particularly Important Areas Of Integral And Differential Equations. Further Highlights Of The Second Edition Include: A New Chapter On The Hahn–banach Theorem And Its Applications To The Theory Of Duality. This Chapter Also Introduces The Basic Properties Of Projection Operators On Banach Spaces, And Weak Convergence Of Sequences In Banach Spaces - Topics That Have Applications To Both Linear And Nonlinear Functional Ana

Who reads Linear Functional Analysis (Springer Undergraduate Mathematics Series)?

Author

Bryan P. Rynne, Martin A. Youngson

Publisher

Springer-Verlag London Ltd

Published

2008

Language

EN

ISBN

9781281032058

Category

nonfiction

Subjects

Mathematics, Science, Physics