Linear Algebra Ii

Author : Frederick P. Greenleaf
Publisher : American Mathematical Soc.
ISBN 13 : 1470454254
Total Pages : 288 pages
Book Rating : 4.58/5 ( download)

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Download or read book Linear Algebra II written by Frederick P. Greenleaf and published by American Mathematical Soc.. This book was released on 2020-05-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Both volumes have been used for several years in a one-year course sequence, Linear Algebra I and II, offered at New York University's Courant Institute. The first three chapters of this second volume round out the coverage of traditional linear algebra topics: generalized eigenspaces, further applications of Jordan form, as well as bilinear, quadratic, and multilinear forms. The final two chapters are different, being more or less self-contained accounts of special topics that explore more advanced aspects of modern algebra: tensor fields, manifolds, and vector calculus in Chapter 4 and matrix Lie groups in Chapter 5. The reader can choose to pursue either chapter. Both deal with vast topics in contemporary mathematics. They include historical commentary on how modern views evolved, as well as examples from geometry and the physical sciences in which these topics are important. The book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved.

Author : Stephan Ramon Garcia
Publisher : Cambridge University Press
ISBN 13 : 1107103819
Total Pages : 447 pages
Book Rating : 4.18/5 ( download)

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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 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A second course in linear algebra for undergraduates in mathematics, computer science, physics, statistics, and the biological sciences.

Author :
Publisher : Bookboon
ISBN 13 : 8740302415
Total Pages : 208 pages
Book Rating : 4.17/5 ( download)

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Download or read book Linear Algebra II written by and published by Bookboon. This book was released on with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Frederick P. Greenleaf
Publisher : American Mathematical Soc.
ISBN 13 : 1470448718
Total Pages : 261 pages
Book Rating : 4.14/5 ( download)

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Download or read book Linear Algebra I written by Frederick P. Greenleaf and published by American Mathematical Soc.. This book was released on 2019-01-30 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of two volumes on linear algebra for graduate students in mathematics, the sciences, and economics, who have: a prior undergraduate course in the subject; a basic understanding of matrix algebra; and some proficiency with mathematical proofs. Proofs are emphasized and the overall objective is to understand the structure of linear operators as the key to solving problems in which they arise. This first volume re-examines basic notions of linear algebra: vector spaces, linear operators, duality, determinants, diagonalization, and inner product spaces, giving an overview of linear algebra with sufficient mathematical precision for advanced use of the subject. This book provides a nice and varied selection of exercises; examples are well-crafted and provide a clear understanding of the methods involved. New notions are well motivated and interdisciplinary connections are often provided, to give a more intuitive and complete vision of linear algebra. Computational aspects are fully covered, but the study of linear operators remains the focus of study in this book.

Author : Alexey L. Gorodentsev
Publisher : Springer
ISBN 13 : 3319508539
Total Pages : 370 pages
Book Rating : 4.35/5 ( download)

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Download or read book Algebra II written by Alexey L. Gorodentsev and published by Springer. This book was released on 2017-02-12 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.

Author : Georgi? Evgen?evich Shilov
Publisher : Courier Corporation
ISBN 13 : 9780486635187
Total Pages : 404 pages
Book Rating : 4.8X/5 ( download)

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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.

Author : Edgar G Goodaire
Publisher : World Scientific Publishing Company
ISBN 13 : 981450839X
Total Pages : 732 pages
Book Rating : 4.91/5 ( download)

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Download or read book Linear Algebra written by Edgar G Goodaire and published by World Scientific Publishing Company. This book was released on 2013-09-20 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a matrix-oriented approach to linear algebra that covers the traditional material of the courses generally known as “Linear Algebra I” and “Linear Algebra II” throughout North America, but it also includes more advanced topics such as the pseudoinverse and the singular value decomposition that make it appropriate for a more advanced course as well. As is becoming increasingly the norm, the book begins with the geometry of Euclidean 3-space so that important concepts like linear combination, linear independence and span can be introduced early and in a “real” context. The book reflects the author's background as a pure mathematician — all the major definitions and theorems of basic linear algebra are covered rigorously — but the restriction of vector spaces to Euclidean n-space and linear transformations to matrices, for the most part, and the continual emphasis on the system Ax=b, make the book less abstract and more attractive to the students of today than some others. As the subtitle suggests, however, applications play an important role too. Coding theory and least squares are recurring themes. Other applications include electric circuits, Markov chains, quadratic forms and conic sections, facial recognition and computer graphics.

Author : Ramji Lal
Publisher : Springer
ISBN 13 : 981104256X
Total Pages : 432 pages
Book Rating : 4.60/5 ( download)

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Download or read book Algebra 2 written by Ramji Lal and published by Springer. This book was released on 2017-05-03 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1–5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.

Author : Open University. Mathematics Foundation Course Team
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.96/5 ( download)

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Download or read book Mathematics Foundation Course: Linear algebra (II) written by Open University. Mathematics Foundation Course Team and published by . This book was released on 1971 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. G. Hamilton
Publisher : Cambridge University Press
ISBN 13 : 9780521310420
Total Pages : 344 pages
Book Rating : 4.23/5 ( download)

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Download or read book Linear Algebra: Volume 2 written by A. G. Hamilton and published by Cambridge University Press. This book was released on 1989 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasis is placed on applications in preference to more theoretical aspects throughout this readable introduction to linear algebra for specialists as well as non-specialists. An expanded version of A First Course in Linear Algebra.