The Linear Algebra a Beginning Graduate Student Ought to Know 3rd Edition by Jonathan S Golan ISBN 9400726368 9789400726369

The Linear Algebra a Beginning Graduate Student Ought to Know 3rd Edition by Jonathan S Golan – Ebook PDF Instant Download/Delivery. 9400726368, 9789400726369
Full download The Linear Algebra a Beginning Graduate Student Ought to Know 3rd Edition after payment

Product details:

ISBN 10: 9400726368 
ISBN 13: 9789400726369
Author: Jonathan S Golan

Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as to computer science, to the physical, biological, and social sciences, and to engineering. It encompasses an extensive corpus of theoretical results as well as a large and rapidly-growing body of computational techniques. Unfortunately, in the past decade, the content of linear algebra courses required to complete an undergraduate degree in mathematics has been depleted to the extent that they fail to provide a sufficient theoretical or computational background. Students are not only less able to formulate or even follow mathematical proofs, they are also less able to understand the mathematics of the numerical algorithms they need for applications. Certainly, the material presented in the average undergraduate course is insufficient for graduate study. This book is intended to fill the gap which has developed by providing enough theoretical and computational material to allow the advanced undergraduate or beginning graduate student to overcome this deficiency and be able to work independently or in advanced courses. The book is intended to be used either as a self-study guide, a textbook for a course in advanced linear algebra, or as a reference book. It is also designed to prepare a student for the linear algebra portion of prelim exams or PhD qualifying exams. The volume is self-contained to the extent that it does not assume any previous formal knowledge of linear algebra, though the reader is assumed to have been exposed, at least informally, to some of the basic ideas and techniques, such as manipulation of small matrices and the solution of small systems of linear equations over the real numbers. More importantly, it assumes a seriousness of purpose, considerable motivation, and a modicum of mathematical sophistication on the part of the reader. In the latest edition, new major theorems have been added, as wellas many new examples. There are over 130 additional exercises and many of the previous exercises have been revised or rewritten. In addition, a large number of additional biographical notes and thumbnail portraits of mathematicians have been included.

The Linear Algebra a Beginning Graduate Student Ought to Know 3rd Table of contents:

1. Notation and Terminology
2. Fields
3. Vector Spaces Over a Field
4. Algebras Over a Field
5. Linear Independence and Dimension
6. Linear Transformations
7. The Endomorphism Algebra of a Vector Space
8. Representation of Linear Transformations by Matrices
9. The Algebra of Square Matrices
10. Systems of Linear Equations
11. Determinants
12. Eigenvalues and Eigenvectors
13. Krylov Subspaces
14. The Dual Space
15. Inner Product Spaces
16. Orthogonality
17. Selfadjoint Endomorphisms
18. Unitary and Normal Endomorphisms
19. Moore–Penrose Pseudoinverses
20. Bilinear Transformations and Forms

People also search for The Linear Algebra a Beginning Graduate Student Ought to Know 3rd:

linear algebra a beginning graduate student ought know
    
the linear algebra a beginning graduate student ought to know
    
linear algebra graduate level
    
linear algebra study guide pdf
    
linear algebra a modern introduction answers