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Advanced Engineering Mathematics
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Dennis G Zill
The authors provide discussions on such topics as differential equations, vector analysis, matrix algebra, complex analysis, boundary value problems and numerical methods. Features of the book include its clarity of presentation and the number and calibre of the exercises and examples. For flexibility in topic selection the book is divided into ...
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Applied Partial Differential Equations
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George Beekman, Richard Haberman
Appropriate for an elementary or advanced undergraduate first course of varying lengths. Also appropriate for beginning graduate students. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics. Emphasizing the physical interpretation of mathematical solutions, this book introduces ...
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Fourier Series and Boundary Value Problems
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by
James Ward Brown
Published by McGraw-Hill since its first edition in 1941, this classic text is an introduction to Fourier series and their applications to boundary value problems in partial differential equations of engineering and physics. It will primarily be used by students with a background in ordinary differential equations and advanced calculus. There are ...
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An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics: Wi
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by
William Elwood Byerly
This classic text is one of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. Includes 190 problems, approximately half with answers. 1893 edition.
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Elementary Applied Partial Differential Equations with Fourier Series and Boundary Value Problems
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Richard Haberman
Appropriate for an elementary undergraduate first course of varying lengths. Its in-depth elementary presentation is intended primarily for students in science, engineering, and applied mathematics.Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential ...
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Fourier Series & Boundary Value Problems
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by
Ruel V Churchill
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Fourier Series and Orthogonal Functions
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Harry F Davis
An incisive text combining theory and practical example to introduce Fourier series, orthogonal functions and applications of the Fourier method to boundary-value problems. Includes 570 exercises. Answers and notes.
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Introduction to the theory of Fourier's series and integrals
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Horatio Scott Carslaw
Basic introduction to theory of infinite series or integrals, with special reference to Fourier's series. 84 examples.
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Fourier series.
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by
G. P. Tolstov
This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series, more. Over 100 problems. 1962 edition.
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Fourier Integral and Certain of Its Applications
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Norbert Wiener
The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems. The influence of G. H. Hardy is apparent from ...
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Fourier series and orthogonal polynomials
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by
Dunham Jackson
This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, ...
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Fourier Series
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by
G H Hardy, Werner Rogosinski
Classic, graduate-level text discusses the Fourier series in Hilbert space, examines further properties of trigonometrical Fourier series, and concludes with a detailed look at the applications of previously outlined theorems. 1956 edition.
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Introduction to the theory of Fourier integrals
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E. C. Titchmarsh
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Introduction to Fourier analysis and generalised functions.
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by
Michael James Lighthill
This monograph on generalised functions, Fourier integrals and Fourier series is intended for readers who, while accepting that a theory where each point is proved is better than one based on conjecture, nevertheless seek a treatment as elementary and free from complications as possible. Little detailed knowledge of particular mathematical ...
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Fourier Integral and Its Applications
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by
Athanasios Papoulis
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An introduction to Fourier series and integrals
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by
Robert T Seeley
A compact, sophomore-to-senior-level guide, Dr. Seeley's text introduces Fourier series in the way that Joseph Fourier himself used them: as solutions of the heat equation in a disk. Emphasizing the relationship between physics and mathematics, Dr. Seeley begins with a physical problem and applies the results to different situations. 1966 edition ...
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Partial Differential Equations and Boundary Value Problems with Fourier Series
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by
Nakhle H Asmar
For introductory courses in Partial Differential Equations (PDEs) taken by majors in engineering, physics, and mathematics. This example-rich text fosters a smooth transition from elementary ordinary differential equations courses to more advanced concepts in a first course on PDEs. Asmar's relaxed style and emphasis on applications make the ...
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Lectures on Bochner-Riesz Means
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by
Davis, Chang
This book is concerned with the modern theory of Fourier series. Treating developments since Zygmund's classic study, the authors begin with a thorough discussion of the classical one-dimensional theory from a modern perspective. The text then takes up the developments of the 1970s, beginning with Fefferman's famous disc counterexample. The ...
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Descriptive Set Theory and the Structure of Sets of Uniqueness
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by
Kechris, Louveau
The study of sets of uniqueness for trigonometric series has a long history, originating in the work of Riemann, Heine, and Cantor in the mid-nineteenth century. Since then it has been a fertile ground for numerous investigations involving real analysis, classical and abstract harmonic analysis, measure theory, functional analysis and number ...
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Fourier Series in Control Theory
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by
Vilmos Komornik, Paola Loreti
This book uses techniques of Fourier series and functional analysis to deal with certain problems in differential equations. The Fourier series and functional analysis are merely tools; the authors' real interest lies in the differential equations that they study. It has been known since 1967 that a wide variety of sets {ewikt of complex ...
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An Introduction to Laplace Transforms and Fourier Series
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by
Phillip P G Dyke
This book is a self-contained introduction to Laplace Transforms and Fourier Series; emphasising the applications of Laplace transforms throughout, the book also provides coverage of the underlying pure mathematical structures. Alongside the Laplace transform, the notion of Fourier series is developed from first principles. Exercises are provided ...
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The Theory of Fourier Series and Integrals
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by
Philip L Walker
In this book, the author has drawn on his considerable experience of teaching analysis to give a concise explanation of the theory of Fourier series and integrals. He also shows how this theory can be applied to those areas of science and engineering in which it is of fundamental importance; in support of this, examples and exercises have been ...
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Trigonometric Series: Volumes I & II Combines
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by
Antoni Zygmund, Robert A Fefferman
Professor Zygmund's Trigonometric Series, first published in Warsaw in 1935, established itself as a classic. It presented a concise account of the main results then known, but was on a scale which limited the amount of detailed discussion possible. A greatly enlarged second edition published by Cambridge in two volumes in 1959 took full account ...
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Fourier Series and Integral Transforms
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by
Allan Pinkus, Samy Zafrany
The aim of this book is to provide the reader with a basic understanding of Fourier series, Fourier transforms and Laplace transforms. The book is an expanded and polished version of the authors' notes for a one semester course, for students of mathematics, electrical engineering, physics and computer science. Prerequisites for readers of this ...
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Introduction to Pseudodifferential and Fourier Integral Operators Volume 2, Fourier Integral Operato
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Francois Treves, Jean-Fran?ois Treves
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