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Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems hav

Fourier analysis. --- Boundary value problems --- Numerical solutions. --- Analysis, Fourier --- Mathematical analysis

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Real variable methods in Fourier analysis

Harmonic analysis. Fourier analysis --- Fourier analysis. --- Functions of real variables. --- Operator theory. --- Fourier analysis --- Functions of real variables --- Operator theory --- 517.51 --- 517.51 Functions of a real variable. Real functions --- Functions of a real variable. Real functions --- Functional analysis --- Real variables --- Functions of complex variables --- Analysis, Fourier --- Mathematical analysis

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An introduction to nonharmonic Fourier series

Fourier series. --- Fourier analysis. --- Analysis, Fourier --- Mathematical analysis --- Fourier integrals --- Series, Fourier --- Series, Trigonometric --- Trigonometric series --- Calculus --- Fourier analysis --- Harmonic analysis --- Harmonic functions --- Fourier series --- 517.44 --- 517.518.4 --- 517.518.5 --- 517.52 --- 517.52 Series and sequences --- Series and sequences --- 517.518.5 Theory of the Fourier integral --- Theory of the Fourier integral --- 517.518.4 Trigonometric series --- 517.44 Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions

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Distributions and Fourier transforms

517.982.4 --- Theory of generalized functions (distributions) --- Fourier transformations. --- Theory of distributions (Functional analysis) --- Theory of distributions (Functional analysis). --- 517.982.4 Theory of generalized functions (distributions) --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis

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Structural Biology Using Electrons and X-rays is the perfect book to provide advanced undergraduates or graduate students with an accessible introduction to the two major diffraction-based techniques of structural biology. While concentrating on electron cryo-microscopy with image analysis, it also includes X-ray crystallography in a coherent survey of fundamental principles. Starting with Fourier transforms and progressing through optics and imaging principles, symmetry and three-dimensional reconstruction theory, Structural Biology Using Electrons and X-rays ends in an accou

Biology. --- Biomolecules - Structure. --- Biomolecules --Structure. --- Diffraction. --- Electron optics. --- Electron probe microanalysis. --- Electrons. --- X-ray spectroscopy. --- X-rays. --- Biomolecules --- X-ray spectroscopy --- Electron optics --- Electron probe microanalysis --- Genetics --- Signal Processing, Computer-Assisted --- Mathematical Concepts --- Investigative Techniques --- Biochemistry --- Spectrum Analysis --- Chemistry --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Biological Science Disciplines --- Computing Methodologies --- Biology --- Chemistry Techniques, Analytical --- Phenomena and Processes --- Magnetic Resonance Spectroscopy --- Fourier Analysis --- Molecular Biology --- Natural Science Disciplines --- Information Science --- Disciplines and Occupations --- Human Anatomy & Physiology --- Engineering & Applied Sciences --- Health & Biological Sciences --- Animal Biochemistry --- Biophysics --- Applied Physics --- Structure --- Fourier transform optics. --- Fourier transform nuclear magnetic resonance spectroscopy. --- Structure. --- Analysis. --- Mathematical models. --- FT-NMR spectroscopy --- Fourier transform spectroscopy --- Nuclear magnetic resonance spectroscopy --- Fourier optics --- Fourier transformations --- Optics --- Biological molecules --- Molecules --- Molecular biology