Functional Analysis


Book Description

This book, Functional Analysis, is designed for absolute beginners who want to understand the fundamental ideas of functional analysis without advanced prerequisites. Starting from the basics, it introduces concepts like vector spaces, norms, and linear operators, using simple explanations and examples to build a strong foundation. Each chapter breaks down complex topics step-by-step, making it accessible for anyone new to the subject. By the end, readers will have a clear understanding of the core principles of functional analysis and how these ideas apply in mathematics, physics, and engineering.







Light Propagation in Periodic Media


Book Description

Based on more than 30 years of research on differential theories of gratings, this book describes developments in differential theory for applications in spectroscopy, acoustics, X-ray instrumentation, optical communication, information processing, photolithography, high-power lasers, high-precision engineering, and astronomy. Introducing the Fast Fourier Factorization approach to improve the convergence of a truncated series, the book examines multilayers, stacked gratings, crossed gratings, photonic crystals, and isotropic and anisotropic materials; techniques and examples in grating design; and Maxwell equations in a truncated Fourier space.




Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition


Book Description

Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Optics, Light, Laser, Infrared, and Photonic Technology. The editors have built Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Optics, Light, Laser, Infrared, and Photonic Technology in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Optics, Light, Laser, Infrared, and Photonic Technology: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.




Focus on Soliton Research


Book Description

Since their discovery a mere thirty years ago, solitons have been invoked to explain such diverse phenomena as: The long lived 'giant red spot' in the highly turbulent Jovian atmosphere. The famous Fermi-Pasta-Ulam paradox wherein a nonlinearly coupled lattice of particles does not display the expected equipartition of energy among available modes: ion-acoustic waves in a plasma; energy storage and transfer in proteins via the Davydov soliton; and, the propagation of short laser pulses in optical fibres over long distances with negligible shape change. This volume presents important research from around the globe.










Frontiers Of Applied Mathematics - Proceedings Of The 2nd International Symposium


Book Description

This volume brings together articles on the mathematical aspects of life sciences, astrophysics, and nonlinear wave problems. It covers theoretical problems associated with the nervous system, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous disks, spiral galaxies, dark matter dynamics, star formation, solitary waves, photonics, and nonlinear light propagation in periodic media. The contributions are written for a general audience, and the authors have included references for further reading.




Physics Briefs


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NASA Tech Briefs


Book Description