Linear Algebra And Analytic Geometry For Physical Sciences

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Linear Algebra and Analytic Geometry for Physical Sciences

Author : Giovanni Landi
Publisher : Springer
ISBN 13 : 3319783610
Total Pages : 348 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 348 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 Algebra and Analytic Geometry

Author : Bennie Marsh & Frankie Murray
Publisher : Scientific e-Resources
ISBN 13 : 1839473185
Total Pages : 296 pages
Book Rating : 4.8/5 (394 download)

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Book Synopsis Linear Algebra and Analytic Geometry by : Bennie Marsh & Frankie Murray

Download or read book Linear Algebra and Analytic Geometry written by Bennie Marsh & Frankie Murray and published by Scientific e-Resources. This book was released on 2018-01-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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 : Kam-Tim Leung
Publisher : Hong Kong University Press
ISBN 13 : 0856561118
Total Pages : 320 pages
Book Rating : 4.8/5 (565 download)

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Book Synopsis Linear Algebra and Geometry by : Kam-Tim Leung

Download or read book Linear Algebra and Geometry written by Kam-Tim Leung and published by Hong Kong University Press. This book was released on 1974-01-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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 also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.

Linear Algebra and Group Theory for Physicists

Author : K.N. Srinivasa Rao
Publisher : Springer
ISBN 13 : 9386279320
Total Pages : 601 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Linear Algebra and Group Theory for Physicists by : K.N. Srinivasa Rao

Download or read book Linear Algebra and Group Theory for Physicists written by K.N. Srinivasa Rao and published by Springer. This book was released on 2006-01-15 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Srinivasa Rao's text on Linear Algebra and Group Theory is directed to undergraduate and graduate students who wish to acquire a solid theoretical foundation in these mathematical topics which find extensive use in physics. Based on courses delivered during Professor Srinivasa Rao's long career at the University of Mysore, this text is remarkable for its clear exposition of the subject. Advanced students will find a range of topics such as the Representation theory of Linear Associative Algebras, a complete analysis of Dirac and Kemmer algebras, Representations of the Symmetric group via Young Tableaux, a systematic derivation of the Crystallographic point groups, a comprehensive and unified discussion of the Rotation and Lorentz groups and their representations, and an introduction to Dynkin diagrams in the classification of Lie groups. In addition, the first few chapters on Elementary Group Theory and Vector Spaces also provide useful instructional material even at an introductory level. An authority on diverse aspects of mathematical physics, Professor K N Srinivasa Rao taught at the University of Mysore until 1982 and was subsequently at the Indian Institute of Science, Bangalore. He has authored a number of texts, among them being ""The Rotation and Lorentz Groups and their Representations for Physicists"" (Wiley, 1988) and ""Classical Mechanics"" (Universities Press, 2003). The first edition of ""Linear Algebra and Group Theory for Physicists"" was co-published in 1996 by New Age International, and Wiley, New York.

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 Research Advances

Author : Gerald D. Ling
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.X/5 (3 download)

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Book Synopsis Linear Algebra Research Advances by : Gerald D. Ling

Download or read book Linear Algebra Research Advances written by Gerald D. Ling and published by . This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry and it is generalised in operator theory. It has extensive applications in the natural sciences and the social sciences, since non-linear models can often be approximated by linear ones.

Linear Algebra Through Geometry

Author : T. Banchoff
Publisher : Springer Science & Business Media
ISBN 13 : 1468401610
Total Pages : 268 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Linear Algebra Through Geometry by : T. Banchoff

Download or read book Linear Algebra Through Geometry written by T. Banchoff and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject. Our experience in teaching beginning undergraduates over the years has convinced us that students learn the new ideas of linear algebra best when these ideas are grounded in the familiar geometry of two and three dimensions. Many important notions of linear algebra already occur in these dimensions in a non-trivial way, and a student with a confident grasp of these ideas will encounter little difficulty in extending them to higher dimensions and to more abstract algebraic systems. Moreover, we feel that this geometric approach provides a solid basis for the linear algebra needed in engineering, physics, biology, and chemistry, as well as in economics and statistics. The great advantage of beginning with a thorough study of the linear algebra of the plane is that students are introduced quickly to the most important new concepts while they are still on the familiar ground of two-dimensional geometry. In short order, the student sees and uses the notions of dot product, linear transformations, determinants, eigenvalues, and quadratic forms. This is done in Chapters 2.0-2.7. Then the very same outline is used in Chapters 3.0-3.7 to present the linear algebra of three-dimensional space, so that the former ideas are reinforced while new concepts are being introduced.

Linear Algebra and Analytic Geometry

Author : Heinrich W. Brinkmann
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Linear Algebra and Analytic Geometry by : Heinrich W. Brinkmann

Download or read book Linear Algebra and Analytic Geometry written by Heinrich W. Brinkmann and published by . This book was released on 1971 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Bridge To Linear Algebra

Author : Mikusinski Piotr
Publisher : World Scientific
ISBN 13 : 9811200246
Total Pages : 508 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis A Bridge To Linear Algebra by : Mikusinski Piotr

Download or read book A Bridge To Linear Algebra written by Mikusinski Piotr and published by World Scientific. This book was released on 2019-04-08 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book makes a first course in linear algebra more accessible to the majority of students and it assumes no prior knowledge of the subject. It provides a careful presentation of particular cases of all core topics. Students will find that the explanations are clear and detailed in manner. It is considered as a bridge over the obstacles in linear algebra and can be used with or without the help of an instructor.While many linear algebra texts neglect geometry, this book includes numerous geometrical applications. For example, the book presents classical analytic geometry using concepts and methods from linear algebra, discusses rotations from a geometric viewpoint, gives a rigorous interpretation of the right-hand rule for the cross product using rotations and applies linear algebra to solve some nontrivial plane geometry problems.Many students studying mathematics, physics, engineering and economics find learning introductory linear algebra difficult as it has high elements of abstraction that are not easy to grasp. This book will come in handy to facilitate the understanding of linear algebra whereby it gives a comprehensive, concrete treatment of linear algebra in R² and R³. This method has been shown to improve, sometimes dramatically, a student's view of the subject.

Linear Algebra and Geometry

Author : David M. Bloom
Publisher : CUP Archive
ISBN 13 : 9780521293242
Total Pages : 652 pages
Book Rating : 4.2/5 (932 download)

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Book Synopsis Linear Algebra and Geometry by : David M. Bloom

Download or read book Linear Algebra and Geometry written by David M. Bloom and published by CUP Archive. This book was released on 1979-06-29 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Algebra

Author : Arak M. Mathai
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110562596
Total Pages : 564 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Linear Algebra by : Arak M. Mathai

Download or read book Linear Algebra written by Arak M. Mathai and published by Walter de Gruyter GmbH & Co KG. This book was released on 2017-10-23 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered. As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include differential equations, statistics, optimization and some engineering-motivated problems in physics. Contents Vectors Matrices Determinants Eigenvalues and eigenvectors Some applications of matrices and determinants Matrix series and additional properties of matrices

A Second Course in Linear Algebra

Author : Stephan Ramon Garcia
Publisher : Cambridge University Press
ISBN 13 : 1108210503
Total Pages : 450 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis A Second Course in Linear Algebra by : Stephan Ramon Garcia

Download or read book A Second Course in Linear Algebra written by Stephan Ramon Garcia and published by Cambridge University Press. This book was released on 2017-05-11 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is a fundamental tool in many fields, including mathematics and statistics, computer science, economics, and the physical and biological sciences. This undergraduate textbook offers a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications. Concise chapters promote a focused progression through essential ideas, and contain many examples and illustrative graphics. In addition, each chapter contains a bullet list summarising important concepts, and the book includes over 600 exercises to aid the reader's understanding. Topics are derived and discussed in detail, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices (of interest to physics students), and positive definite matrices (of interest to statistics students).

A Concise Introduction to Linear Algebra

Author : Géza Schay
Publisher : Springer Science & Business Media
ISBN 13 : 0817683259
Total Pages : 338 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Concise Introduction to Linear Algebra by : Géza Schay

Download or read book A Concise Introduction to Linear Algebra written by Géza Schay and published by Springer Science & Business Media. This book was released on 2012-03-30 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Concise Introduction to Linear Algebra

Author : Linsen Chou
Publisher :
ISBN 13 : 9781681171791
Total Pages : 0 pages
Book Rating : 4.1/5 (717 download)

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Book Synopsis A Concise Introduction to Linear Algebra by : Linsen Chou

Download or read book A Concise Introduction to Linear Algebra written by Linsen Chou and published by . This book was released on 2015-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is the branch of mathematics regarding vector spaces and linear mappings between such spaces. It includes the study of lines, planes, and subspaces, but is also concerned with properties common to all vector spaces. Linear algebra is the study of linear sets of equations and their transformation properties. Linear algebra allows the analysis of rotations in space, least squares fitting, solution of coupled differential equations, determination of a circle passing through three given points, as well as many other problems in mathematics, physics, and engineering. The matrix and determinant are extremely useful tools of linear algebra. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences. Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear models. Linear algebra is central to both pure and applied mathematics. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. This book, A Concise Introduction to Linear Algebra, covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.

Linear Algebra

Author : Georgi? Evgen?evich Shilov
Publisher : Courier Corporation
ISBN 13 : 9780486635187
Total Pages : 404 pages
Book Rating : 4.6/5 (351 download)

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Book Synopsis Linear Algebra by : Georgi? Evgen?evich Shilov

Download or read book Linear Algebra written by Georgi? Evgen?evich Shilov and published by Courier Corporation. This book was released on 1977-06-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.