linear algebra modular mathematics series

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Linear Algebra

Author : R. B. J. T. Allenby
ISBN : 9780340610442
Genre : Mathematics
File Size : 88. 12 MB
Format : PDF
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Linear algebra is the most widely taught sub-division of pure mathematics, the basis of equation (and therefore problem) solving. This book includes historical information about the founders of the subject, together with a basic introduction to linear alge

Linear Algebra

Author : Reg Allenby
ISBN : 9780080571799
Genre : Mathematics
File Size : 71. 3 MB
Format : PDF, ePub
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As the basis of equations (and therefore problem-solving), linear algebra is the most widely taught sub-division of pure mathematics. Dr Allenby has used his experience of teaching linear algebra to write a lively book on the subject that includes historical information about the founders of the subject as well as giving a basic introduction to the mathematics undergraduate. The whole text has been written in a connected way with ideas introduced as they occur naturally. As with the other books in the series, there are many worked examples.

Groups

Author : Camilla R. Jordan
ISBN : 9780340610459
Genre : Mathematics
File Size : 88. 58 MB
Format : PDF
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Introduction to mathematical groups

Rings Modules And Linear Algebra

Author : Brian Hartley
ISBN :
Genre :
File Size : 41. 27 MB
Format : PDF
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Matrices And Quadratic Forms

Author : John Bowers
ISBN : 0340691387
Genre : Mathematics
File Size : 68. 45 MB
Format : PDF, Docs
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This is a lively and accessible introduction to matrices and quadratic forms for students in linear algebra. Examples and exercises are used as teaching aids and ideas for investigation and project work help to place the subject in context. The inclusion of historical contexts, real-life situations and the discussion of links with other areas of mathematics will greatly enhance student motivation, making this the perfect classroom tool.

Basic Linear Algebra

Author : Thomas S. Blyth
ISBN : 9781447134961
Genre : Mathematics
File Size : 48. 45 MB
Format : PDF, Kindle
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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

Author : Igor R. Shafarevich
ISBN : 9783642309946
Genre : Mathematics
File Size : 67. 56 MB
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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.

Advanced Linear Algebra

Author : Steven Roman
ISBN : 9780387728315
Genre : Mathematics
File Size : 68. 77 MB
Format : PDF, Kindle
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This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

Linear Algebra Problem Book

Author : Paul R. Halmos
ISBN : 0883853221
Genre : Mathematics
File Size : 76. 10 MB
Format : PDF, ePub, Mobi
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Takes the student step by step from basic axioms to advanced concepts. 164 problems, each with hints and full solutions.

Advanced Linear Algebra

Author : Nicholas Loehr
ISBN : 9781466559028
Genre : Mathematics
File Size : 51. 33 MB
Format : PDF, ePub
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Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The book’s 20 chapters are grouped into six main areas: algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. The level of abstraction gradually increases as students proceed through the text, moving from matrices to vector spaces to modules. Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results. Unlike similar advanced mathematical texts, this one minimizes the dependence of each chapter on material found in previous chapters so that students may immediately turn to the relevant chapter without first wading through pages of earlier material to access the necessary algebraic background and theorems. Chapter summaries contain a structured list of the principal definitions and results. End-of-chapter exercises aid students in digesting the material. Students are encouraged to use a computer algebra system to help solve computationally intensive exercises.

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