An Introduction to Linear Algebra

An Introduction to Linear Algebra

Author: L. Mirsky

Publisher: Courier Corporation

Published: 2012-12-03

Total Pages: 466

ISBN-13: 0486166449

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Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.


Classical Invariant Theory

Classical Invariant Theory

Author: Peter J. Olver

Publisher: Cambridge University Press

Published: 1999-01-13

Total Pages: 308

ISBN-13: 9780521558211

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The book is a self-contained introduction to the results and methods in classical invariant theory.


Mathematical Methods In Classical And Quantum Physics

Mathematical Methods In Classical And Quantum Physics

Author: Tulsi Dass

Publisher: Universities Press

Published: 1998

Total Pages: 718

ISBN-13: 9788173710896

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This book is intended to provide an adequate background for various theortical physics courses, especially those in classical mechanics, electrodynamics, quatum mechanics and statistical physics. Each topic is dealt with in a generally self-contained manner and the text is interspersed with a number of solved examples ad a large number of exercise problems.


Ring Theory And Algebraic Geometry

Ring Theory And Algebraic Geometry

Author: A. Granja

Publisher: CRC Press

Published: 2001-05-08

Total Pages: 366

ISBN-13: 9780203907962

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Focuses on the interaction between algebra and algebraic geometry, including high-level research papers and surveys contributed by over 40 top specialists representing more than 15 countries worldwide. Describes abelian groups and lattices, algebras and binomial ideals, cones and fans, affine and projective algebraic varieties, simplicial and cellular complexes, polytopes, and arithmetics.


Fixed points and topological degree in nonlinear analysis

Fixed points and topological degree in nonlinear analysis

Author: Jane Cronin

Publisher: American Mathematical Soc.

Published: 1995-01-05

Total Pages: 212

ISBN-13: 0821815113

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The topological methods based on fixed-point theory and on local topological degree which have been developed by Leray, Schauder, Nirenberg, Cesari and others for the study of nonlinear differential equations are here described in detail, beginning with elementary considerations. The reader is not assumed to have any knowledge of topology beyond the theory of point sets in Euclidean n-space which ordinarily forms part of a course in advanced calculus. The methods are first developed for Euclidean n-space and applied to the study of existence and stability of periodic and almost-periodic solutions of systems of ordinary differential equations, both quasi-linear and with ``large'' nonlinearities. Then, after being extended to infinite-dimensional ``function-spaces'', these methods are applied to integral equations, partial differential equations and further problems concerning periodic solutions of ordinary differential equations.


Vector Spaces of Finite Dimension

Vector Spaces of Finite Dimension

Author: Geoffrey Colin Shephard

Publisher:

Published: 1966

Total Pages: 218

ISBN-13:

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Of set theory and algebra -- Vector spaces and subspaces -- Linear transformations -- Dual vector spaces -- Multilinear algebra -- Norms and inner products -- Coordinates and matrices.


Invariant Theory in All Characteristics

Invariant Theory in All Characteristics

Author: Harold Edward Alexander Eddy Campbell

Publisher: American Mathematical Soc.

Published:

Total Pages: 308

ISBN-13: 9780821870303

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This volume includes the proceedings of a workshop on Invariant Theory held at Queen's University (Ontario). The workshop was part of the theme year held under the auspices of the Centre de recherches mathematiques (CRM) in Montreal. The gathering brought together two communities of researchers: those working in characteristic 0 and those working in positive characteristic. The book contains three types of papers: survey articles providing introductions to computational invarianttheory, modular invariant theory of finite groups, and the invariant theory of Lie groups; expository works recounting recent research in these three areas and beyond; and open problems of current interest. The book is suitable for graduate students and researchers working in invarianttheory.


Linear Systems and Control

Linear Systems and Control

Author: Martin J. Corless

Publisher: CRC Press

Published: 2003-03-27

Total Pages: 368

ISBN-13: 9780203911372

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Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.