Geometric and Arithmetic Methods in the Spectral Theory of Multidimensional Periodic Operators

Geometric and Arithmetic Methods in the Spectral Theory of Multidimensional Periodic Operators
Title Geometric and Arithmetic Methods in the Spectral Theory of Multidimensional Periodic Operators PDF eBook
Author M. M. Skriganov
Publisher American Mathematical Soc.
Pages 132
Release 1987
Genre Mathematics
ISBN 9780821831045

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Multidimensional Periodic Schrödinger Operator

Multidimensional Periodic Schrödinger Operator
Title Multidimensional Periodic Schrödinger Operator PDF eBook
Author Oktay Veliev
Publisher Springer Nature
Pages 420
Release
Genre
ISBN 3031490355

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Analysis and Geometry on Graphs and Manifolds

Analysis and Geometry on Graphs and Manifolds
Title Analysis and Geometry on Graphs and Manifolds PDF eBook
Author Matthias Keller
Publisher Cambridge University Press
Pages 493
Release 2020-08-20
Genre Mathematics
ISBN 1108587380

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This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.

Integral Methods in Science and Engineering

Integral Methods in Science and Engineering
Title Integral Methods in Science and Engineering PDF eBook
Author Christian Constanda
Publisher Springer Nature
Pages 361
Release 2022-10-13
Genre Mathematics
ISBN 3031071719

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This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Symposium on the Theory and Applications of Integral Methods in Science and Engineering, held virtually in July 2021, and are written by internationally recognized researchers. This collection will be of interest to researchers in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines and other professionals for whom integration is an essential tool.

Geometric and Arithmetic Methods in the Spectral Theory of Multidimensional Periodic Operators

Geometric and Arithmetic Methods in the Spectral Theory of Multidimensional Periodic Operators
Title Geometric and Arithmetic Methods in the Spectral Theory of Multidimensional Periodic Operators PDF eBook
Author Maksim M. Skriganov
Publisher
Pages 121
Release 1985
Genre
ISBN

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Mathematical Modeling in Optical Science

Mathematical Modeling in Optical Science
Title Mathematical Modeling in Optical Science PDF eBook
Author Gang Bao
Publisher SIAM
Pages 349
Release 2001-01-01
Genre Science
ISBN 9780898717594

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This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers.

Waves in Periodic and Random Media

Waves in Periodic and Random Media
Title Waves in Periodic and Random Media PDF eBook
Author Peter Kuchment
Publisher American Mathematical Soc.
Pages 232
Release 2003
Genre Mathematics
ISBN 0821832867

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Science and engineering have been great sources of problems and inspiration for generations of mathematicians. This is probably true now more than ever as numerous challenges in science and technology are met by mathematicians. One of these challenges is understanding propagation of waves of different nature in systems of complex structure. This book contains the proceedings of the research conference, ``Waves in Periodic and Random Media''. Papers are devoted to a number of related themes, including spectral theory of periodic differential operators, Anderson localization and spectral theory of random operators, photonic crystals, waveguide theory, mesoscopic systems, and designer random surfaces. Contributions are written by prominent experts and are of interest to researchers and graduate students in mathematical physics.