Linear Algebra And Geometry

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Linear Algebra and Geometry

Author : Igor R. Shafarevich
Publisher : Springer Science & Business Media
ISBN 13 : 3642309941
Total Pages : 536 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Linear Algebra and Geometry by : Igor R. Shafarevich

Download or read book Linear Algebra and Geometry written by Igor R. Shafarevich and published by Springer Science & Business Media. This book was released on 2012-08-23 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Al Cuoco
Publisher : American Mathematical Soc.
ISBN 13 : 1470443503
Total Pages : 557 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear Algebra and Geometry by : Al Cuoco

Download or read book Linear Algebra and Geometry written by Al Cuoco and published by American Mathematical Soc.. This book was released on 2019-04-10 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Geometry and Transformation

Author : Bruce Solomon
Publisher : CRC Press
ISBN 13 : 1482299305
Total Pages : 474 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Linear Algebra, Geometry and Transformation by : Bruce Solomon

Download or read book Linear Algebra, Geometry and Transformation written by Bruce Solomon and published by CRC Press. This book was released on 2014-12-12 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Irving Kaplansky
Publisher : Courier Corporation
ISBN 13 : 9780486432335
Total Pages : 182 pages
Book Rating : 4.4/5 (323 download)

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Book Synopsis Linear Algebra and Geometry by : Irving Kaplansky

Download or read book Linear Algebra and Geometry written by Irving Kaplansky and published by Courier Corporation. This book was released on 2003-01-01 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Algebra and Projective Geometry

Author : Reinhold Baer
Publisher : Courier Corporation
ISBN 13 : 0486154661
Total Pages : 338 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Linear Algebra and Projective Geometry by : Reinhold Baer

Download or read book Linear Algebra and Projective Geometry written by Reinhold Baer and published by Courier Corporation. This book was released on 2012-06-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.

Linear Algebra Through Geometry

Author : Thomas Banchoff
Publisher : Springer Science & Business Media
ISBN 13 : 1461243904
Total Pages : 316 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Linear Algebra Through Geometry by : Thomas Banchoff

Download or read book Linear Algebra Through Geometry written by Thomas Banchoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Algebra and Geometry

Author : P. K. Suetin
Publisher : CRC Press
ISBN 13 : 9789056990497
Total Pages : 324 pages
Book Rating : 4.9/5 (94 download)

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Book Synopsis Linear Algebra and Geometry by : P. K. Suetin

Download or read book Linear Algebra and Geometry written by P. K. Suetin and published by CRC Press. This book was released on 1997-10-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional analysis, quantum mechanics and algebraic and differential geometry. The subjects covered in some detail include normed linear spaces, functions of linear operators, the basic structures of quantum mechanics and an introduction to linear programming. Also discussed are Kahler's metic, the theory of Hilbert polynomials, and projective and affine geometries. Unusual in its extensive use of applications in physics to clarify each topic, this comprehensice volume should be of particular interest to advanced undergraduates and graduates in mathematics and physics, and to lecturers in linear and multilinear algebra, linear programming and quantum mechanics.

Linear Algebra and Analytic Geometry for Physical Sciences

Author : Giovanni Landi
Publisher : Springer
ISBN 13 : 3319783610
Total Pages : 345 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Linear Algebra and Analytic Geometry for Physical Sciences by : Giovanni Landi

Download or read book Linear Algebra and Analytic Geometry for Physical Sciences written by Giovanni Landi and published by Springer. This book was released on 2018-05-12 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises.Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac’s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number.The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification.

Linear Geometry

Author : K. W. Gruenberg
Publisher : Springer Science & Business Media
ISBN 13 : 1475741014
Total Pages : 208 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Linear Geometry by : K. W. Gruenberg

Download or read book Linear Geometry written by K. W. Gruenberg and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic course in linear algebra up to, and including, modules over a principal ideal domain; and to explain in rigorous language the intuitively familiar concepts of euclidean, affine, and projective geometry and the relations between them. It is increasingly recognised that linear algebra should be approached from a geometric point of VIew. This applies not only to mathematics majors but also to mathematically-oriented natural scientists and engineers.

Linear Algebra

Author : E. Sernesi
Publisher : Routledge
ISBN 13 : 1351435280
Total Pages : 274 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Linear Algebra by : E. Sernesi

Download or read book Linear Algebra written by E. Sernesi and published by Routledge. This book was released on 2019-01-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an undergraduate textbook suitable for linear algebra courses. This is the only textbook that develops the linear algebra hand-in-hand with the geometry of linear (or affine) spaces in such a way that the understanding of each reinforces the other. The text is divided into two parts: Part I is on linear algebra and affine geometry, finis

Algebra and Geometry

Author : Alan F. Beardon
Publisher : Cambridge University Press
ISBN 13 : 1139443496
Total Pages : 340 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Algebra and Geometry by : Alan F. Beardon

Download or read book Algebra and Geometry written by Alan F. Beardon and published by Cambridge University Press. This book was released on 2005-05-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.

A Vector Space Approach to Geometry

Author : Melvin Hausner
Publisher : Courier Dover Publications
ISBN 13 : 0486835391
Total Pages : 417 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis A Vector Space Approach to Geometry by : Melvin Hausner

Download or read book A Vector Space Approach to Geometry written by Melvin Hausner and published by Courier Dover Publications. This book was released on 2018-10-17 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.

Algebra and Geometry with Python

Author : Sergei Kurgalin
Publisher : Springer Nature
ISBN 13 : 3030615413
Total Pages : 429 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Algebra and Geometry with Python by : Sergei Kurgalin

Download or read book Algebra and Geometry with Python written by Sergei Kurgalin and published by Springer Nature. This book was released on 2021-01-18 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book teaches algebra and geometry. The authors dedicate chapters to the key issues of matrices, linear equations, matrix algorithms, vector spaces, lines, planes, second-order curves, and elliptic curves. The text is supported throughout with problems, and the authors have included source code in Python in the book. The book is suitable for advanced undergraduate and graduate students in computer science.

Practical Linear Algebra

Author : Gerald E. Farin
Publisher :
ISBN 13 : 9781032021911
Total Pages : 0 pages
Book Rating : 4.0/5 (219 download)

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Book Synopsis Practical Linear Algebra by : Gerald E. Farin

Download or read book Practical Linear Algebra written by Gerald E. Farin and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Geometric Algebra for Computer Science

Author : Leo Dorst
Publisher : Elsevier
ISBN 13 : 0080553109
Total Pages : 664 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Geometric Algebra for Computer Science by : Leo Dorst

Download or read book Geometric Algebra for Computer Science written by Leo Dorst and published by Elsevier. This book was released on 2010-07-26 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing * Written by leaders in the field providing essential information on this new technique for 3D graphics * This full colour book includes a website with GAViewer, a program to experiment with GA

Linear Algebra and Geometry

Author : Jean Dieudonné
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Algebra and Geometry by : Jean Dieudonné

Download or read book Linear Algebra and Geometry written by Jean Dieudonné and published by . This book was released on 1969 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:

LINEAR ALGEBRA

Author : S. KUMARESAN
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120316282
Total Pages : 240 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis LINEAR ALGEBRA by : S. KUMARESAN

Download or read book LINEAR ALGEBRA written by S. KUMARESAN and published by PHI Learning Pvt. Ltd.. This book was released on 2000-01-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clear, concise and highly readable text is designed for a first course in linear algebra and is intended for undergraduate courses in mathematics. It focusses throughout on geometric explanations to make the student perceive that linear algebra is nothing but analytic geometry of n dimensions. From the very start, linear algebra is presented as an extension of the theory of simultaneous linear equations and their geometric interpretation is shown to be a recurring theme of the subject. The integration of abstract algebraic concepts with the underlying geometric notions is one of the most distinguishing features of this book — designed to help students in the pursuit of multivariable calculus and differential geometry in subsequent courses.Explanations and concepts are logically presented in a conversational tone and well-constructed writing style so that students at a variety of levels can understand the material and acquire a solid foundation in the basic skills of linear algebra.