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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.

(JV Herod)

**Book Detail :- **
** Title: ** Linear Algebra, Infinite Dimensional Spaces, and MAPLE
** Edition: **
** Author(s): ** JV Herod
** Publisher: **
** Series: **
** Year: ** 1997
** Pages: ** 83
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: ** US
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**About Author :- **
The author ** James V. Herod **, School of Mathematics, Georgia Tech, Atlanta 30332-0160, US

**All Famous Books of this Author :- **

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** • 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

2. Exp(tA)

3. Self Adjoint Transformations in Inner-Product Spaces

4. The Gerschgorin Circle Theorem

5. Convergence

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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