The Linear Algebra a Beginning Graduate Student Ought to Know

The Linear Algebra a Beginning Graduate Student Ought to Know
Author :
Publisher : Springer Science & Business Media
Total Pages : 499
Release :
ISBN-10 : 9789400726369
ISBN-13 : 9400726368
Rating : 4/5 (69 Downloads)

Book Synopsis The Linear Algebra a Beginning Graduate Student Ought to Know by : Jonathan S. Golan

Download or read book The Linear Algebra a Beginning Graduate Student Ought to Know written by Jonathan S. Golan and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 well as 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 Related Books

The Linear Algebra a Beginning Graduate Student Ought to Know
Language: en
Pages: 499
Authors: Jonathan S. Golan
Categories: Mathematics
Type: BOOK - Published: 2012-04-23 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

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 compute
Introduction to Applied Linear Algebra
Language: en
Pages: 477
Authors: Stephen Boyd
Categories: Business & Economics
Type: BOOK - Published: 2018-06-07 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
A Second Course in Linear Algebra
Language: en
Pages: 447
Authors: Stephan Ramon Garcia
Categories: Mathematics
Type: BOOK - Published: 2017-05-11 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A second course in linear algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological sciences.
A Mathematician's Survival Guide
Language: en
Pages: 242
Authors: Steven George Krantz
Categories: Education
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

"When you are a young mathematician, graduate school marks the first step toward a career in mathematics. During this period, you will make important decisions
Introduction to Tensor Analysis and the Calculus of Moving Surfaces
Language: en
Pages: 303
Authors: Pavel Grinfeld
Categories: Mathematics
Type: BOOK - Published: 2013-09-24 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is