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About this book :-
Linear Algebra, Infinite Dimensional Spaces, and MAPLE written by JV Herod .
These notes evolved in the process of teaching a beginning graduate course in Hilbert Spaces. The first edition was simply personal, handwritten notes prepared for lecture. A copy was typed and given to the students, for it seemed appropriate that they should have a statement of theorems, examples, and assignments. With each teaching of the course, the notes grew.A text for the course has always been announced, but purchase of the text has been optional. A text provides additional reading, alternate perspectives, and a source of exercises. Whatever text was used, it was chosen with the intent of the course in mind.
Book Detail :-
Title: Linear Algebra, Infinite Dimensional Spaces, and MAPLE
Author(s): JV Herod
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About Author :- The author James V. Herod , School of Mathematics, Georgia Tech, Atlanta 30332-0160, US
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Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Linear Algebra, Infinite Dimensional Spaces, and MAPLE by JV Herod
• Download PDF Differential Equations with Applications to Mathematical Physics by WF Ames, EM Harrell, JV Herod
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Book Contents :-
Linear Algebra, Infinite Dimensional Spaces, and MAPLE written by JV Herod cover the following topics. '
1. A Decomposition for Matrices
3. Self Adjoint Transformations in Inner-Product Spaces
4. The Gerschgorin Circle Theorem
6. Orthogonality and Closest Point Projections
7. Orthogonal, Nonexpansive, & Self-Adjoint Projections
8. Orthonormal Vectors
9. The Finite Dimensional Paradigm
10. Bounded, Linear Maps from E to IC
11. Applications to Differential and Integral Equations
12. The Simple Paradigm for Linear Mappings from E to E
13. Adjoint Operators
14. Compact Sets
15. Compact Operators
16. The Space of Bounded Linear Transformations
17. The Eigenvalue Problem
18. Normal Operators and The More General Paradigm
19. Compact Operators and Orthonormal Families
20. The Most General Paradigm:
21. The Fredholm Alternative Theorems
22. Closed Operators
23. Deficiency Index
24. An Application: A Problem in Control
25. A Reproducing Kernel Hilbert Space
26. An Application: Minimization with Constraints
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