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Principles of Partial Differential Equations (Problem Books in Mathematics)
Principles of Partial Differential Equations (Problem Books in Mathematics)

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The...

Principles of Lasers and Optics
Principles of Lasers and Optics
Radiation from lasers is different from conventional optical light because, like
microwave radiation, it is approximately monochromatic. Although each laser has
its own fine spectral distribution and noise properties, the electric and magnetic
fields from lasers are considered to have precise phase and amplitude variations
in
...
Theoretical Physics
Theoretical Physics
Classic one-volume treatise covers mathematical topics needed by theoretical and experimental physicists (vector analysis, calculus of variations, etc.), followed by extensive coverage of mechanics, electromagnetic theory, thermodynamics, quantum mechanics, and nuclear physics. Indispensable reference for graduates and undergraduates.
...
Regular Expressions Cookbook
Regular Expressions Cookbook
Over the past decade, regular expressions have experienced a remarkable rise in popularity. Today, all the popular programming languages include a powerful regular expression library, or even have regular expression support built right into the language. Many developers have taken advantage of these regular...
Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)
Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)

Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design. This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform...

Physics of Tsunamis
Physics of Tsunamis

This second edition reflects significant progress in tsunami research, monitoring and mitigation within the last decade. Primarily meant to summarize the state-of-the-art knowledge on physics of tsunamis, it describes up-to-date models of tsunamis generated by a submarine earthquake, landslide, volcanic eruption, meteorite impact, and moving...

An Introduction to Partial Differential Equations
An Introduction to Partial Differential Equations
"This is an introductory book on the subject of partial differential equations which is suitable for a large variety of basic courses on this topic. In particular, it can be used as a textbook or self-study book for large classes of readers with interests in mathematics, engineering, and related fields. Its usefulness stems from its clarity,...
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all...

A First Course in Fourier Analysis
A First Course in Fourier Analysis
This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory,...
Differential Equations and Control Theory
Differential Equations and Control Theory
This volume is based on papers presented at the International Workshop on Differential Equations and Optimal Control, held at the Department of Mathematics of Ohio University in Athens, Ohio. The main objective of this international meeting was to feature new trends in the theory and applications of partial differential and functional-differential...
Partial Differential Equations: Modelling and Numerical Simulation (Computational Methods in Applied Sciences)
Partial Differential Equations: Modelling and Numerical Simulation (Computational Methods in Applied Sciences)
This book is dedicated to Olivier Pironneau.

For more than 250 years partial differential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at first and then those originating from human activity and technological development. Mechanics, physics and their...

Electromagnetic Wave Scattering from Random Rough Surfaces: Asymptotic Models
Electromagnetic Wave Scattering from Random Rough Surfaces: Asymptotic Models

Electromagnetic wave scattering from random rough surfaces is an active, interdisciplinary area of research with myriad practical applications in fields such as optics, acoustics, geoscience and remote sensing.
Focusing on the case of random rough surfaces, this book presents classical asymptotic models used to describe
...

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