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"Introduction to Modern Analysis" Discusses Theoretical Methods in Measure Theory and Functional Analysis and Contains over 120 End of Chapter Exercises.

DUBLIN, Ireland -- Research and Markets (http://www.researchandmarkets.com/reports/c82215) has announced the addition of "Introduction to Modern Analysis" to their offering.

This new-in-paperback edition provides a comprehensive course in Modern Analysis. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis, and contain over 120 end of chapter exercises. The final two chapters apply theory to applications in Probability Theory and Partial Differential Equations.

This new-in-paperback text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure Theory, Functional Analysis, Banach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis, and contain over 120 end of chapter exercises. The final two chapters discuss applications in Probability Theory and Partial Differential Equations.

Solutions to the end of chapter exercises may be found on the companion website for this text.

Contents:

1 Measures

2 Construction of measures

3 Measure and topology

4 Continuous linear functionals

5 Duality

6 Bounded operators

7 Banach algebras

8 Hilbert spaces

9 Integral representation

10 Unbounded operators

Application I Probability

Application II Distributions

Bibliography

Index

For more information visit http://www.researchandmarkets.com/reports/c82215.

Source: Oxford University Press
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Date:Feb 8, 2008
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