About Us
Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc
More about usKeep Connect with Us
Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc
More about us
MathSchoolinternational contain thousands of
Mathematics Free Books and
Physics Free Books. Which cover almost all topics for students of Mathematics, Physics and Engineering. We have also collected other
Best Free Math Websites
for teachers and students.
Here is extisive list of
Linear Algebra Books . We hope students and teachers like these textbooks, notes and solution manuals.
Share this page:-
-->
Congratulations, the link is avaliable for free download.
About this book :-
Commentary on Lang's Linear Algebra written by
Henry Pinkham
These notes were written to complement and supplement Lang’s Linear Algebra as a textbook in a Honors Linear Algebra class at Columbia University. The students in the class were gifted but had limited exposure to linear algebra. As Lang says in his introduction, his book is not meant as a substitute for an elementary text. The book is intended for students having had an elementary course in linear algebra. However, by spending a week on Gaussian elimination after covering the second chapter of [4], it was possible to make the book work in this class. Henry C. Pinkham had spent a fair amount of time looking for an appropriate textbook, and I could find nothing that seemed more appropriate for budding mathematics majors than Lang’s book. He restricts his ground field to the real and complex numbers, which is a reasonable compromise.
The book has many strength. No assumptions are made, everything is defined. The first chapter presents the rather tricky theory of dimension of vector spaces admirably. The next two chapters are remarkably clear and efficient in presently matrices and linear maps, so one has the two key ingredients of linear algebra: the allowable objects and the maps between them quite concisely, but with many examples of linear maps in the exercises. The presentation of determinants is good, and eigenvectors and eigenvalues is well handled. Hermitian forms and hermitian and unitary matrices are well covered, on a par with the corresponding concepts over the real numbers. Decomposition of a linear operator on a vector space is done using the fact that a polynomial ring over a field is a Euclidean domain, and therefore a principal ideal domain. These concepts are defined from scratch, and the proofs presented very concisely, again. The last chapter covers the elementary theory of convex sets: a beautiful topic if one has the time to cover it. Advanced students will enjoy reading Appendix II on the Iwasawa Decomposition.
(HENRY C. PINKHAM)
Book Detail :-
Title: Commentary on Lang's Linear Algebra
Edition:
Author(s): Henry Pinkham
Publisher:
Series: Expository notes
Year: 2013
Pages: 94
Type: PDF
Language: English
ISBN:
Country: US
Get Similar Books from Amazon
Join our new updates, alerts:-
For new updates and alerts join our WhatsApp Group and Telegram Group (you can also ask any [pdf] book/notes/solutions manual).
Join WhatsApp Group
Join Telegram Group
Book Contents :-
Commentary on Lang's Linear Algebra written by
Henry Pinkham
cover the following topics.
1. Gaussian Elimination
2. Matrix Inverses
3. Matrices
4. Representation of a Linear Transformation by a Matrix
5. Row Rank is Column Rank
6. Duality
7. Orthogonal Projection
8. Uniqueness of Determinants
9. The Key Lemma on Determinants
10. The Companion Matrix
11. Positive Definite Matrices
12. Homework Solutions
A. Symbols and Notational Conventions
References
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.
JOIN OUR 33,890 + FANS 
JOIN OUR 100 + FANS