Exercises In Linear Algebra And Geometry
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Exercises In Linear Algebra And Geometry
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Author : Francesco Bottacin
language : en
Publisher: Società Editrice Esculapio
Release Date : 2023-09-27
Exercises In Linear Algebra And Geometry written by Francesco Bottacin and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-27 with Mathematics categories.
This book contains a collection of exercises designed to support and complement the theoretical exposition of the standard topics for a first course in linear algebra and geometry, at university level. In this sense, this exercise book is a natural completion of the text F. Bottacin, Linear Algebra and Geometry, Esculapio, Bologna which will be referred to for the necessary theoretical notions. In presenting the solutions to the proposed exercises, my main goal is to try to teach how to approach and solve a problem. For this reason, in many cases, theoretical considerations have been included and different solution methods have been proposed for the same type of exercise. The reader will thus be able to evaluate, case by case, the advantages and disadvantages of each method.
Exercises In Algebra
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Author : AlexandraI. Kostrikin
language : en
Publisher: Routledge
Release Date : 2019-01-22
Exercises In Algebra written by AlexandraI. Kostrikin and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-22 with Mathematics categories.
This text contains more than 2000 exercises in algebra. These exercises are currently used in teaching a fundamental course in algebra in the Department of Mechanics and Mathematics at Moscow State University. The text is divided into three parts, which correspond to three semesters of study. Each section contains not only standard exercises, but also more difficult exercises at the end of some sections, these more challenging exercises being marked with asterisks. At the end of the book, results of calculations, a list of notations and basic definitions are given.
Exercises In Algebra
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Author : Alexandra I. Kostrikin
language : en
Publisher: CRC Press
Release Date : 1996-02-09
Exercises In Algebra written by Alexandra I. Kostrikin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-09 with Mathematics categories.
This book is a collection of exercises for courses in higher algebra, linear algebra and geometry. It is helpful for postgraduate students in checking the solutions and answers to the exercises.
Linear Algebra And Geometry
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Author : Francesco Bottacin
language : en
Publisher: Società Editrice Esculapio
Release Date : 2023-05-25
Linear Algebra And Geometry written by Francesco Bottacin and has been published by Società Editrice Esculapio this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-25 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.
Exercises In Algebra
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Author : Alexandra I. Kostrikin
language : en
Publisher: CRC Press
Release Date : 1996-02-09
Exercises In Algebra written by Alexandra I. Kostrikin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-09 with Mathematics categories.
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 Through Geometry
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Author : Thomas Banchoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Linear Algebra Through Geometry written by Thomas Banchoff 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 2012-12-06 with Mathematics categories.
This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.
Practical Linear Algebra
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Author : Gerald Farin
language : en
Publisher: CRC Press
Release Date : 2021-10-13
Practical Linear Algebra written by Gerald Farin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-13 with Mathematics categories.
Linear algebra is growing in importance. 3D entertainment, animations in movies and video games are developed using linear algebra. Animated characters are generated using equations straight out of this book. Linear algebra is used to extract knowledge from the massive amounts of data generated from modern technology. The Fourth Edition of this popular text introduces linear algebra in a comprehensive, geometric, and algorithmic way. The authors start with the fundamentals in 2D and 3D, then move on to higher dimensions, expanding on the fundamentals and introducing new topics, which are necessary for many real-life applications and the development of abstract thought. Applications are introduced to motivate topics. The subtitle, A Geometry Toolbox, hints at the book’s geometric approach, which is supported by many sketches and figures. Furthermore, the book covers applications of triangles, polygons, conics, and curves. Examples demonstrate each topic in action. This practical approach to a linear algebra course, whether through classroom instruction or self-study, is unique to this book. New to the Fourth Edition: Ten new application sections. A new section on change of basis. This concept now appears in several places. Chapters 14-16 on higher dimensions are notably revised. A deeper look at polynomials in the gallery of spaces. Introduces the QR decomposition and its relevance to least squares. Similarity and diagonalization are given more attention, as are eigenfunctions. A longer thread on least squares, running from orthogonal projections to a solution via SVD and the pseudoinverse. More applications for PCA have been added. More examples, exercises, and more on the kernel and general linear spaces. A list of applications has been added in Appendix A. The book gives instructors the option of tailoring the course for the primary interests of their students: mathematics, engineering, science, computer graphics, and geometric modeling.
Basic Linear Algebra
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Author : Thomas S. Blyth
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Basic Linear Algebra written by Thomas S. Blyth 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 2013-03-14 with Mathematics categories.
Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises. The book explains the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations, and complex numbers. Linear equations are treated via Hermite normal forms, which provides a successful and concrete explanation of the notion of linear independence. Another highlight is the connection between linear mappings and matrices, leading to the change of basis theorem which opens the door to the notion of similarity. The authors are well known algebraists with considerable experience of teaching introductory courses on linear algebra to students at St Andrews. This book is based on one previously published by Chapman and Hall, but it has been extensively updated to include further explanatory text and fully worked solutions to the exercises that all 1st year students should be able to answer.
Linear Algebra And Geometry
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Author : Irving Kaplansky
language : en
Publisher: Courier Corporation
Release Date : 2003-01-01
Linear Algebra And Geometry written by Irving Kaplansky and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Mathematics categories.
The author of this text seeks to remedy a common failing in teaching algebra: the neglect of related instruction in geometry. Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses. 1974 edition.