vectors pure and applied a general introduction to linear algebra

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Vectors Pure And Applied

Author : T. W. Körner
ISBN : 9781107033566
Genre : Mathematics
File Size : 36. 77 MB
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Explains both the how and the why of linear algebra to get students thinking like mathematicians.

Vectors Pure And Applied A General Introduction To Linear Algebra

Author : CTI Reviews
ISBN : 9781478442424
Genre : Education
File Size : 31. 59 MB
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Facts101 is your complete guide to Vectors, Pure and Applied, A General Introduction to Linear Algebra. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Introduction To Linear Algebra In Geology

Author : J. Ferguson
ISBN : 0412493500
Genre : Mathematics
File Size : 61. 61 MB
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Introduction to Linear Algebra in Geology introduces linear algebra to students of geology and explores the possibilities of using the techniques as an aid to solving geological problems which can be solved numerically. A basic knowledge of geology is assumed.

Linear Algebra And Its Applications

Author : Peter D. Lax
ISBN : 9780471751564
Genre : Mathematics
File Size : 43. 8 MB
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Praise for the First Edition ". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematician′s bookshelf." –American Mathematical Monthly Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student–friendly additions that enhance the book′s accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up–to–date coverage of the topic, including: The QR algorithm for finding the eigenvalues of a self–adjoint matrix The Householder algorithm for turning self–adjoint matrices into tridiagonal form The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov′s stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy′s elegant proof of Halmos′ conjecture about the numerical range of matrices. Clear, concise, and superbly organized, Linear Algebra and Its Applications, Second Edition serves as an excellent text for advanced undergraduate– and graduate–level courses in linear algebra. Its comprehensive treatment of the subject also makes it an ideal reference or self–study for industry professionals.

Linear Algebra

Author : Alan Tucker
ISBN : UCSD:31822031514045
Genre : Mathematics
File Size : 49. 56 MB
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Applied Linear Algebra

Author : Lorenzo Adlai Sadun
ISBN : 9780821844410
Genre : Mathematics
File Size : 76. 30 MB
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Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle. Traditionally, difference equations, Markov chains, coupled oscillators, Fourier series, the wave equation, the Schrodinger equation, and Fourier transforms are treated separately, often in different courses. Here, they are treated as particular instances of the decoupling principle, and their solutions are remarkably similar. By understanding this general principle and the many applications given in the book, students will be able to recognize it and to apply it in many other settings. Sadun includes some topics relating to infinite-dimensional spaces. He does not present a general theory, but enough so as to apply the decoupling principle to the wave equation, leading to Fourier series and the Fourier transform. The second edition contains a series of Explorations. Most are numerical labs in which the reader is asked to use standard computer software to look deeper into the subject. Some explorations are theoretical, for instance, relating linear algebra to quantum mechanics. There is also an appendix reviewing basic matrix operations and another with solutions to a third of the exercises.

Computational Methods Of Linear Algebra

Author : Granville Sewell
ISBN : 9789814603881
Genre : Mathematics
File Size : 69. 91 MB
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This book presents methods for the computational solution of some important problems of linear algebra: linear systems, linear least squares problems, eigenvalue problems, and linear programming problems. The book also includes a chapter on the fast Fourier transform and a very practical introduction to the solution of linear algebra problems on modern supercomputers. The book contains the relevant theory for most of the methods employed. It also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs for solving linear algebraic problems. Highly readable FORTRAN and MATLAB codes are presented which solve all of the main problems studied.

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