Math shortcuts, Articles, worksheets, Exam tips, Question, Answers, FSc, BSc, MSc

#### Keep Connect with Us

• =

MathSchool Search Box
• Welcome in Math School.
• This is beta verion of our website.

lectures in abstract algebra 2 linear algebra, n jacobson [pdf]

### Lectures in Abstract Algebra: II. Linear Algebra by Nathan Jacobson

MathSchoolinternational contain 5000+ of Mathematics Free PDF Books and Physics Free PDF Books. Which cover almost all topics for students of Mathematics, Physics and Engineering. Here is extisive list of Linear Algebra ebooks . We hope students and teachers like these textbooks, notes and solution manuals.

Lectures in Abstract Algebra: II. Linear Algebra written by Nathan Jacobson
The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presupposed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essential tools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A student well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text.
Many of these are simple numerical illustrations of the theory. Others should be difficult enough to test the better students. At any rate a diligent study of these is essential for a thorough understanding of the text.
At various stages in the writing of this book I have benefited from the advice and criticism of many friends. Thanks are particularly due to A. H. Clifford, to G. Hochschild, and to I. Kaplansky for suggestions on earlier versions of the text. Also I am greatly indebted to W. H. Mills, Jr. for painstaking help with the proofs and for last minute suggestions for improvements of the text.
(Nathan Jacobson)

Book Detail :-
Title: Lectures in Abstract Algebra: II. Linear Algebra
Edition:
Author(s): Nathan Jacobson
Publisher: Springer-Verlag New York
Year: 1953
Pages: 290
Type: PDF
Language: English
ISBN: 978-1-4684-7055-0,978-1-4684-7053-6
Country: US
Get Similar Books from Amazon

Author Nathan Jacobson (1910–1999) was an American mathematician. Nachman Arbiser in Warsaw, Jacobson emigrated to America with his family in 1918. Recognized as one of the leading algebraists of his generation, he wrote more than a dozen standard textbooks. He graduated from the University of Alabama in 1930 and was awarded a doctorate in mathematics from Princeton University in 1934. While working on his thesis, Non-commutative polynomials and cyclic algebras, he was advised by Joseph Wedderburn. Jacobson taught and researched at Bryn Mawr College (1935–1936), the University of Chicago (1936–1937), the University of North Carolina at Chapel Hill (1937–1943), and Johns Hopkins University (1943–1947) before joining Yale University in 1947. He remained at Yale until his retirement.
He was a member of the National Academy of Sciences and the American Academy of Arts and Sciences. He served as president of the American Mathematical Society from 1971 to 1973, and was awarded their highest honour, the Leroy P. Steele prize for lifetime achievement, in 1998. He was also vice-president of the International Mathematical Union from 1972 to 1974. Nathan Jacobson is Director of , Educational Technology, MAN FACTORS, INC, San Diego, California.

Join WhatsApp Group
Join Telegram Group

Book Contents :-
Lectures in Abstract Algebra: II. Linear Algebra written by Nathan Jacobson cover the following topics.
1. FINITE DIMENSIONAL VECTOR SPACES SECTION
2. LINEAR TRANSFORMATIONS
3. THE THEORY OF A SINGLE LINEAR TRANSFORMATION
4. SETS OF LINEAR TRANSFORMATIONS
5. BILINEAR FORMS
6. EUCLIDEAN AND UNITARY SPACES
7. PRODUCTS OF VECTOR SPA9ES
8. THE RING OF LINEAR TRANSFORMATIONS
9. INFINITE DIMENSIONAL VECTOR SPACES
Index

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.

Related Book Categories:-

Other Famous Books Topics:-

Other Topics:-

WORKSHEETS (Solved):-

SHORTCUT TRICKS (Division):-
Divison related shortcut Tricks

SHORTCUT TRICKS (Prime Number):-
Prime Number related shortcut Tricks