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An Introduction To Linear Algebra And Tensors

An Introduction to Linear Algebra and Tensors PDF
Author: M. A. Akivis
Publisher: Courier Corporation
ISBN: 0486148785
Size: 73.85 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 192
View: 6862

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An Introduction To Linear Algebra And Tensors

by M. A. Akivis, An Introduction To Linear Algebra And Tensors Books available in PDF, EPUB, Mobi Format. Download An Introduction To Linear Algebra And Tensors books, Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.




An Introduction To Tensors And Group Theory For Physicists

An Introduction to Tensors and Group Theory for Physicists PDF
Author: Nadir Jeevanjee
Publisher: Birkhäuser
ISBN: 3319147943
Size: 45.60 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 305
View: 2140

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An Introduction To Tensors And Group Theory For Physicists

by Nadir Jeevanjee, An Introduction To Tensors And Group Theory For Physicists Books available in PDF, EPUB, Mobi Format. Download An Introduction To Tensors And Group Theory For Physicists books, The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects this formulation to the component formalism of physics calculations. New pedagogical features, such as new illustrations, tables, and boxed sections, as well as additional “invitation” sections that provide accessible introductions to new material, offer increased visual engagement, clarity, and motivation for students. Part I begins with linear algebraic foundations, follows with the modern component-free definition of tensors, and concludes with applications to physics through the use of tensor products. Part II introduces group theory, including abstract groups and Lie groups and their associated Lie algebras, then intertwines this material with that of Part I by introducing representation theory. Examples and exercises are provided in each chapter for good practice in applying the presented material and techniques. Prerequisites for this text include the standard lower-division mathematics and physics courses, though extensive references are provided for the motivated student who has not yet had these. Advanced undergraduate and beginning graduate students in physics and applied mathematics will find this textbook to be a clear, concise, and engaging introduction to tensors and groups. Reviews of the First Edition “[P]hysicist Nadir Jeevanjee has produced a masterly book that will help other physicists understand those subjects [tensors and groups] as mathematicians understand them... From the first pages, Jeevanjee shows amazing skill in finding fresh, compelling words to bring forward the insight that animates the modern mathematical view...[W]ith compelling force and clarity, he provides many carefully worked-out examples and well-chosen specific problems... Jeevanjee’s clear and forceful writing presents familiar cases with a freshness that will draw in and reassure even a fearful student. [This] is a masterpiece of exposition and explanation that would win credit for even a seasoned author.” —Physics Today "Jeevanjee’s [text] is a valuable piece of work on several counts, including its express pedagogical service rendered to fledgling physicists and the fact that it does indeed give pure mathematicians a way to come to terms with what physicists are saying with the same words we use, but with an ostensibly different meaning. The book is very easy to read, very user-friendly, full of examples...and exercises, and will do the job the author wants it to do with style.” —MAA Reviews




An Introduction To Element Based Galerkin Methods On Tensor Product Bases

An Introduction to Element Based Galerkin Methods on Tensor Product Bases PDF
Author: Francis X. Giraldo
Publisher:
ISBN: 3030550699
Size: 28.73 MB
Format: PDF, ePub, Mobi
Category : Computer science
Languages : en
Pages : 559
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An Introduction To Element Based Galerkin Methods On Tensor Product Bases

by Francis X. Giraldo, An Introduction To Element Based Galerkin Methods On Tensor Product Bases Books available in PDF, EPUB, Mobi Format. Download An Introduction To Element Based Galerkin Methods On Tensor Product Bases books, This book introduces the reader to solving partial differential equations (PDEs) numerically using element-based Galerkin methods. Although it draws on a solid theoretical foundation (e.g. the theory of interpolation, numerical integration, and function spaces), the book's main focus is on how to build the method, what the resulting matrices look like, and how to write algorithms for coding Galerkin methods. In addition, the spotlight is on tensor-product bases, which means that only line elements (in one dimension), quadrilateral elements (in two dimensions), and cubes (in three dimensions) are considered. The types of Galerkin methods covered are: continuous Galerkin methods (i.e., finite/spectral elements), discontinuous Galerkin methods, and hybridized discontinuous Galerkin methods using both nodal and modal basis functions. In addition, examples are included (which can also serve as student projects) for solving hyperbolic and elliptic partial differential equations, including both scalar PDEs and systems of equations.




Introduction To Vectors And Tensors

Introduction to Vectors and Tensors PDF
Author: Ray M. Bowen
Publisher: Courier Corporation
ISBN: 048646914X
Size: 38.32 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 520
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Introduction To Vectors And Tensors

by Ray M. Bowen, Introduction To Vectors And Tensors Books available in PDF, EPUB, Mobi Format. Download Introduction To Vectors And Tensors books, This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students. 1976 edition.




Introduction To Tensor Analysis And The Calculus Of Moving Surfaces

Introduction to Tensor Analysis and the Calculus of Moving Surfaces PDF
Author: Pavel Grinfeld
Publisher: Springer Science & Business Media
ISBN: 1461478677
Size: 33.67 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 302
View: 2681

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Introduction To Tensor Analysis And The Calculus Of Moving Surfaces

by Pavel Grinfeld, Introduction To Tensor Analysis And The Calculus Of Moving Surfaces Books available in PDF, EPUB, Mobi Format. Download Introduction To Tensor Analysis And The Calculus Of Moving Surfaces books, 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 an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.




Lectures On Linear Algebra

Lectures on Linear Algebra PDF
Author: I. M. Gelfand
Publisher: Courier Corporation
ISBN: 9780486660820
Size: 68.43 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 185
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Lectures On Linear Algebra

by I. M. Gelfand, Lectures On Linear Algebra Books available in PDF, EPUB, Mobi Format. Download Lectures On Linear Algebra books, Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.




Introduction To Non Linear Algebra

Introduction To Non linear Algebra PDF
Author: Morozov Alexei
Publisher: World Scientific Publishing Company
ISBN: 9813107006
Size: 22.21 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 288
View: 1156

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Introduction To Non Linear Algebra

by Morozov Alexei, Introduction To Non Linear Algebra Books available in PDF, EPUB, Mobi Format. Download Introduction To Non Linear Algebra books, This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations. It reveals the non-linear algebraic activity as an essentially wider and diverse field with its own original methods, of which the linear one is a special restricted case.This volume contains a detailed and comprehensive description of basic objects and fundamental techniques arising from the theory of non-linear equations, which constitute the scope of what should be called non-linear algebra. The objects of non-linear algebra are presented in parallel with the corresponding linear ones, followed by an exposition of specific non-linear properties treated with the use of classical (such as the Koszul complex) and original new tools. This volume extensively uses a new diagram technique and is enriched with a variety of illustrations throughout the text. Thus, most of the material is new and is clearly exposed, starting from the elementary level. With the scope of its perspective applications spreading from general algebra to mathematical physics, it will interest a broad audience of physicists; mathematicians, as well as advanced undergraduate and graduate students.




An Introduction To Linear Algebra

An Introduction to Linear Algebra PDF
Author: Hans Samelson
Publisher: Wiley-Interscience
ISBN:
Size: 71.18 MB
Format: PDF
Category : Algebras, Linear
Languages : en
Pages : 265
View: 648

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An Introduction To Linear Algebra

by Hans Samelson, An Introduction To Linear Algebra Books available in PDF, EPUB, Mobi Format. Download An Introduction To Linear Algebra books, Vector spaces; Linear combinations; Dimension basis; Linear functionals and linear equations; Linear equations, abstractly; Matrices; Determinants; Linear transformations; Eigenvectors eigenvalues; Minimum polynomial: jordan form; Quadratic form; Inner products; The spectral theorem.




Advanced Linear Algebra

Advanced Linear Algebra PDF
Author: Steven Roman
Publisher: Springer Science & Business Media
ISBN: 9780387274744
Size: 68.83 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 486
View: 1562

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Advanced Linear Algebra

by Steven Roman, Advanced Linear Algebra Books available in PDF, EPUB, Mobi Format. Download Advanced Linear Algebra books, Covers a notably broad range of topics, including some topics not generally found in linear algebra books Contains a discussion of the basics of linear algebra




Vectors Pure And Applied

Vectors  Pure and Applied PDF
Author: T. W. Körner
Publisher: Cambridge University Press
ISBN: 110703356X
Size: 74.18 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 444
View: 804

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Vectors Pure And Applied

by T. W. Körner, Vectors Pure And Applied Books available in PDF, EPUB, Mobi Format. Download Vectors Pure And Applied books, Explains both the how and the why of linear algebra to get students thinking like mathematicians.