Foundations Of Linear Algebra
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Foundations Of Linear Algebra
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Author : Jonathan S. Golan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Foundations Of Linear Algebra written by Jonathan S. Golan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book is an extensively revised version of my textbook "¥esodot HaAlgebra HaLiniarit" (The Foundations of Linear Algebra) used at many universities in Israel. It is designed for a comprehensive one-year course in linear algebra (112 lecture hours) for mathematics majors. Therefore, I assume that the student already has a certain amount of mathematical background - including set theory, mathematical induction, basic analytic geometry, and elementary calculus - as wellas a modicum of mathematical sophistication. My intention is to provide not only a solid basis in the abstract theory of linear algebra, but also to provide examples of the application of this theory to other branches ofmathematics and computer science. Thus, for example, the introduction of finite fields is dictated by the needs of students studying algebraic coding theory as an immediate followup to their linear algebra studies. Many of the students studying linear algebra either are familiar with the care and feeding of computers before they begin their studies or are simultaneously en rolled in an introductory computer science course. Therefore, consideration of the more computational aspects of linear algebra - such as the solution of systems of linear equations and the calculation of eigenvalues - is delayed until all students are assumed able to write computer programs for this purpose. Beginning with Chap ter VII, there is an implicit assumption that the student has access to a personal computer and knows how to use it.
Foundations Of Linear Algebra
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Author : A.I. Mal'cev
language : en
Publisher:
Release Date : 1963
Foundations Of Linear Algebra written by A.I. Mal'cev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Algebras, Linear categories.
The Linear Algebra A Beginning Graduate Student Ought To Know
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Author : Jonathan S. Golan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23
The Linear Algebra A Beginning Graduate Student Ought To Know written by Jonathan S. Golan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-23 with Mathematics categories.
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.
Foundations Of Linear Algebra
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Author : Anatolii Ivanovic Mal'cev
language : en
Publisher:
Release Date : 1956
Foundations Of Linear Algebra written by Anatolii Ivanovic Mal'cev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.
Foundations Of Linear Algebra
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Author : A. I. Mal'Cev
language : en
Publisher:
Release Date : 1963
Foundations Of Linear Algebra written by A. I. Mal'Cev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Algebra categories.
Foundations Of Linear Algebra
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Author : Anatolij I. Malʹcev
language : en
Publisher:
Release Date : 1963
Foundations Of Linear Algebra written by Anatolij I. Malʹcev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Foundations Of Mathematics
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Author : Angela G. Shirley
language : en
Publisher: Independently Published
Release Date : 2018-12-31
Foundations Of Mathematics written by Angela G. Shirley and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-31 with Algebras, Linear categories.
This volume, Introductory Linear Algebra & Analytical Geometry, introduces students to basic concepts in linear algebra and coordinate geometry - vectors, lines, planes in 3-dimensions, matrices, determinants and systems of linear equations. The emphasis on equipping the student with powerful tools of linear algebra while building a solid foundation on which to pursue further studies in Mathematics or Mathematics-related fields. Students will appreciate the detailed notes on each topic, the many worked examples, as well as the model solutions to exam questions.
A Concise Introduction To Linear Algebra
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Author : Géza Schay
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-30
A Concise Introduction To Linear Algebra written by Géza Schay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-30 with Mathematics categories.
Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.
Foundations Of Linear Algebra By A I Mal Cev Tr From The Russian By T C Brown Ed
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Author : Anatoliĭ Ivanovich Malʹt︠s︡ev
language : en
Publisher:
Release Date :
Foundations Of Linear Algebra By A I Mal Cev Tr From The Russian By T C Brown Ed written by Anatoliĭ Ivanovich Malʹt︠s︡ev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Algebras, Linear categories.
Fundamentals Of Linear Algebra
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Author : Dennis Burley Ames
language : en
Publisher:
Release Date : 1970
Fundamentals Of Linear Algebra written by Dennis Burley Ames and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.