Matrix Calculus (2E) by E Bodewig
MathSchoolinternational.com contain houndreds of
Math Free PDF Books . Which cover almost all topics of mathematics. To see an extisive list of
Matrix Algebra Free PDF Books . We hope mathematician or person who’s interested in mathematics like these books.
Share this page:-
We need Your Support, Kindly Share this Web Page with Other Friends
About this book :-
Matrix Calculus (2E) written by
E Bodewig .
The aim of this book is a systematic calculation with the true building blocks of a matrix, the rows and columns, avoiding the use of the individual elements.
Historically the notation of the theory of matrices developed from that of the theory of determinants, although the two subjects have little in common. This little was, however, enough to cause the complete notation of the highly developed theory of determinants, a notation which had proved very efficient and convenient for its own purposes, to be taken over by the new theory of matrices.
Thus the matrix, forced into the Procrustean bed of determinants, was broken down into its individual elements, although the elements themselves seldom play an independent part; indeed, the elements nearly always occur in fixed aggregates in which the individual elements themselves are without significance. The result of this operation with symbols foreign to the subject was often an awkward and unintelligible formula, containing, for example, several summation signs. From such a formula the method of calculation had to be derived more or less by a process of mentally grouping the various elements into rows and columns, a process which should already have been carried out by the notation itself. Thus there arose a discrepancy between thought and calculation, and lack of elegance was a sign of it.
(E Bodewig)
Book Detail :-
Title: Matrix Calculus
Edition: 2nd
Author(s): E Bodewig
Publisher: Elsevier B V
Series:
Year: 1959
Pages: 450
Type: PDF
Language: English
ISBN: 978-1-4832-3214-0
Country: Nehterlands
Get Similar Books from Amazon
About Author :-
Author E Bodewig
is German maihemaiician lived in Holland, Nehterlands.
Math Formula's Top Books:-
Math Formula's Top Books recommended for you.
1300 Math Formulas by Alex-Svirin Ph.D.
Schaum Mathematical Handbook Formulas Tables (5E)
CRC Standard Mathematical Tables, Formulas (33E) By Daniel Zwillinger
Join with us :-
Book Contents :-
Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics written by
Aristotle D. Michal
cover the following topics.
PART-I MATRIX CALCULUS
1. Vectors
2. Matrices
3. Further Applications
4. treasures of the Magnitude of a Matrix
5. Forms
6. Eigenvalues
PART-II LINEAR EQUATIONS
A.DIRECT METHODS
1. Exact Solutions
2. Approximate Solutions HO
B ITERATION METHODS
3. Dei elopment of Iteration Methods
4. Iteration I II
5. Characteristic Equation of Iteration Processes
6. Type of Convergence of Iteration Methods
7. Coniergence Theorems
8. General Iteration
9. Methods for Automatic Machines
10. Speeding up Convergence b\ Changing Matrix
11. The Iterated Direct Methods
12. Methods for Electronic Computers
13. yanous Questions
PART-III INVERSION OF MATRICES.
A. DIRECT METHODS
1. Condensation
2. Frobenius’s Relation
3. Completing
4. The Adjugate
B. ITERATION METHOD
C. GEODETIC matrices
Part-IV EIGENPROBLEMS
1. Introductoion*
A. ITERATION METHODS
2. The Iterated Vectors (Power Method)
3. Orthogonal Transformations
4. Method of Solving Linear Equations
5. The Gradient Method
6. The Use of Polynomials
7. Powers of the Jlatrix
8. Deflation
9. Rutishauser s LR Algorithm
B. DIRECT METHODS
10. Determination of Eigen\ectors
11. Pure Methods
12. Progressne Algonthms
13. The Eigenproblem (A + jlB)x — 0
14. Special Matrices
Index
Install or
Download Similar Books
Note:-
We are not the owner of this book/notes. We provide it which is already avialable on the internet. For any further querries please contact us. We never SUPPORT PIRACY. This copy was provided for students who are financially troubled but want studeing to learn.
If You Think This Materials Is Useful, Please get it legally from the PUBLISHERS.
Thank you.
?1
?2
Math Books of Differential Equations