Interpolation Functors and Duality

Interpolation Functors and Duality PDF Author: Sten G. Kaijser
Publisher: Springer
ISBN: 3540470441
Category : Mathematics
Languages : en
Pages : 172

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Interpolation Functors and Duality

Interpolation Functors and Duality PDF Author: Sten G. Kaijser
Publisher:
ISBN: 9783662173916
Category :
Languages : en
Pages : 176

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Mathematical Applications of Category Theory

Mathematical Applications of Category Theory PDF Author: American Mathematical Society. Meeting
Publisher: American Mathematical Soc.
ISBN: 0821850326
Category : Mathematics
Languages : en
Pages : 318

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Book Description
Contains the proceedings of the AMS Summer Research Conference on Axiomatic Set Theory, held in Boulder, Colorado, June 19-25, 1983. This work covers the various areas of set theory, including constructibility, forcing, combinatorics and descriptive set theory.

Duality System in Applied Mechanics and Optimal Control

Duality System in Applied Mechanics and Optimal Control PDF Author: Wan-Xie Zhong
Publisher: Springer Science & Business Media
ISBN: 1402078811
Category : Mathematics
Languages : en
Pages : 467

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Book Description
A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.

Differential Geometry, Peñíscola 1985

Differential Geometry, Peñíscola 1985 PDF Author: Sten Kaijser
Publisher:
ISBN: 9780387167909
Category : Functor theory
Languages : en
Pages : 306

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Differential Geometry and Differential Equations

Differential Geometry and Differential Equations PDF Author: Chaohao Gu
Publisher: Springer
ISBN: 3540478833
Category : Mathematics
Languages : en
Pages : 259

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Book Description
The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry. This volume contains a selection of the invited papers and some additional contributions. They cover recent advances and principal trends in current research in differential geometry.

Category Theory

Category Theory PDF Author: K. H. Kamps
Publisher: Springer
ISBN: 3540395504
Category : Mathematics
Languages : en
Pages : 341

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Book Description


Constructions of Lie Algebras and their Modules

Constructions of Lie Algebras and their Modules PDF Author: George B. Seligman
Publisher: Springer
ISBN: 3540388648
Category : Mathematics
Languages : en
Pages : 203

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Book Description
This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root systems are treated, along with classical anisotropic algebras. The latter are treated by what seems to be a novel device, namely by studying certain modules for isotropic classical algebras in which they are embedded. In this development, symmetric powers of central simple associative algebras, along with generalized even Clifford algebras of involutorial algebras, play central roles. Considerable attention is given to exceptional algebras. The pace is that of a rather expansive research monograph. The reader who has at hand a standard introductory text on Lie algebras, such as Jacobson or Humphreys, should be in a position to understand the results. More technical matters arise in some of the detailed arguments. The book is intended for researchers and students of algebraic Lie theory, as well as for other researchers who are seeking explicit realizations of algebras or modules. It will probably be more useful as a resource to be dipped into, than as a text to be worked straight through.

Partial Differential Equations and Calculus of Variations

Partial Differential Equations and Calculus of Variations PDF Author: Stefan Hildebrandt
Publisher: Springer
ISBN: 3540460241
Category : Mathematics
Languages : en
Pages : 433

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Book Description
This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory.

Analysis for Science, Engineering and Beyond

Analysis for Science, Engineering and Beyond PDF Author: Kalle Åström
Publisher: Springer Science & Business Media
ISBN: 3642202365
Category : Mathematics
Languages : en
Pages : 355

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Book Description
This book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative, Analysis, Non-commutative Geometry and Applications INANGA08, held at the Centre for Mathematical Sciences, Lund University in May and November of 2008. The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and its applications in engineering and technology, mathematics and engineering education, as well as interdisciplinary, industrial and international cooperation. This book presents new advances in several areas of mathematics and engineering mathematics including applications in modern technology, engineering and life sciences. Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions and problems for future research. A special chapter by Gunnar Sparr and Georg Lindgren contains a historical account and important aspects of engineering mathematics research and education, and the implementation of the highly successful education programme in Engineering Mathematics at Lund Institute of Technology, where not only the mathematical sciences have played a role. This book will serve as a source of inspiration for a broad spectrum of researchers and research students.