Linear Algebra And Geometry
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Linear Algebra And Geometry
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Author : Igor R. Shafarevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-23
Linear Algebra And Geometry written by Igor R. Shafarevich 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 2012-08-23 with Mathematics categories.
This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.
Linear Algebra And Geometry
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Author : Kam-Tim Leung
language : en
Publisher: Hong Kong University Press
Release Date : 1974-01-01
Linear Algebra And Geometry written by Kam-Tim Leung and has been published by Hong Kong University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-01-01 with Mathematics categories.
Linear algebra is now included in the undergraduate curriculum of most universities. It is generally recognized that this branch of algebra, being less abstract and directly motivated by geometry, is easier to understand than some other branches and that because of the wide applications it should be taught as soon as possible. This book is an extension of the lecture notes for a course in algebra and geometry for first-year undergraduates of mathematics and physical sciences. Except for some rudimentary knowledge in the language of set theory the prerequisites for using the main part of the book do not go beyond form VI level. Since it is intended for use by beginners, much care is taken to explain new theories by building up from intuitive ideas and by many illustrative examples, though the general level of presentation is thoroughly axiomatic. Another feature of the book for the more capable students is the introduction of the language and ideas of category theory through which a deeper understanding of linear algebra can be achieved.
Linear Algebra And Geometry
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Author : David M. Bloom
language : en
Publisher: Cambridge University Press
Release Date : 1979-06-29
Linear Algebra And Geometry written by David M. Bloom and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-06-29 with Mathematics categories.
Linear Algebra And Geometry
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Author : Al Cuoco
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-04-10
Linear Algebra And Geometry written by Al Cuoco and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-10 with Mathematics categories.
Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary geometry to build the beautiful edifice of results and methods that make linear algebra such an important field. The materials in Linear Algebra and Geometry have been used, field tested, and refined for over two decades. It is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. Secondary teachers will find the emphasis on developing effective habits of mind especially helpful. The book is written in a friendly, approachable voice and contains nearly a thousand problems. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to [email protected] for more information.
Linear Algebra And Analytic Geometry
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Author : Bennie Marsh & Frankie Murray
language : en
Publisher: Scientific e-Resources
Release Date : 2018-01-18
Linear Algebra And Analytic Geometry written by Bennie Marsh & Frankie Murray and has been published by Scientific e-Resources this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with categories.
In this book, the topics are presented in the same order as in the textbook. The problems concern two content areas: Linear Algebra, and Analytical Geometry. After reading this book, a student should be ables to solve linear equations and to perform the basic operations on numbers and algebraic expressions. The Linear Algebra tests will reveal readers' knowledge and skills, readers' abilities in interpreting symbols, justifying statements and constructing proofs. Readers should be able to apply the properties of determinants and matrix operations and solve linear systems of equations. The Analytical Geometry topics include different forms of equations of straight lines and planes; angles between simple figures; the curves of the second order. This book will prove definitive and ideal reference tool to research scholars, academicians and educationists.
Linear Algebra Geometry And Transformation
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Author : Bruce Solomon
language : en
Publisher: CRC Press
Release Date : 2014-12-12
Linear Algebra Geometry And Transformation written by Bruce Solomon and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-12 with Mathematics categories.
The Essentials of a First Linear Algebra Course and MoreLinear Algebra, Geometry and Transformation provides students with a solid geometric grasp of linear transformations. It stresses the linear case of the inverse function and rank theorems and gives a careful geometric treatment of the spectral theorem.An Engaging Treatment of the Interplay amo
Linear Algebra And Geometry
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Author : Francesco Bottacin
language : en
Publisher: Societa Editrice Esculapio
Release Date : 2023
Linear Algebra And Geometry written by Francesco Bottacin and has been published by Societa Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematics categories.
This book originates from the lessons held by the author in university courses and is aimed at students who, for the first time, are approaching a course in linear algebra and geometry. Bearing in mind the difficulties that students usually encounter in the study of abstract topics such as those presented in this book, we have chosen to use a language that is as simple as possible, trying to motivate the introduction of the various abstract notions with concrete examples. Topics covered include the theory of vector spaces and linear functions, the theory of matrices and systems of linear equations, the theory of Euclidean vector spaces and, finally, the applications of linear algebra to the study of the geometry of affine space. Numerous figures, examples and exercises carried out in every detail have been included in order to facilitate the study and understanding of the topics presented.
Linear Algebra And Projective Geometry
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Author :
language : en
Publisher: Academic Press
Release Date : 1952-01-01
Linear Algebra And Projective Geometry written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952-01-01 with Mathematics categories.
Linear Algebra and Projective Geometry
Linear Algebra A Geometric Approach
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Author : Edoardo Sernesi
language : en
Publisher: Springer
Release Date : 1993
Linear Algebra A Geometric Approach written by Edoardo Sernesi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Juvenile Nonfiction categories.
Written for undergraduates, this text is distinguished from the many others on the subject in that it develops linear algebra hand- in-hand with the geometry of linear spaces in such a way that the understanding of each reinforces the other. Translated from the Italian. Annotation copyright by Book News, Inc., Portland, OR
Linear Algebra And Geometry
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Author : Jean Dieudonné
language : en
Publisher:
Release Date : 1964
Linear Algebra And Geometry written by Jean Dieudonné and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Algebra, Universal categories.