This classic text features a sophisticated treatment of Fourier's pioneering method for expressing periodic functions as an infinite series of trigonometrical functions. Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, the text serves as an introduc... read more
Customers who bought this book also bought:
Our Editors also recommend:
Fourier Series by Georgi 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.
Fourier Series and Orthogonal Functions by 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.
Fourier Transforms by Ian N. Sneddon Focusing on applications of Fourier transforms and related topics rather than theory, this accessible treatment is suitable for students and researchers interested in boundary value problems of physics and engineering. 1951 edition.
Boundary Value Problems and Fourier Expansions by Charles R. MacCluer Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64 figures. Exercises.
Chebyshev and Fourier Spectral Methods: Second Revised Edition by John P. Boyd Completely revised text applies spectral methods to boundary value, eigenvalue, and time-dependent problems, but also covers cardinal functions, matrix-solving methods, coordinate transformations, much more. Includes 7 appendices and over 160 text figures.
Fourier Analysis in Several Complex Variables by Leon Ehrenpreis Suitable for advanced undergraduates and graduate students, this text develops comparison theorems to establish the fundamentals of Fourier analysis and to illustrate their applications to partial differential equations. 1970 edition.
Fourier Series and Orthogonal Polynomials by Dunham Jackson This text for undergraduate and graduate students illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Includes Pearson frequency functions, Jacobi, Hermite, and Laguerre polynomials, more.1941 edition.
An Introduction to Fourier Series and Integrals by Robert T. Seeley This compact guide emphasizes the relationship between physics and mathematics, introducing Fourier series in the way that Fourier himself used them: as solutions of the heat equation in a disk. 1966 edition.
An Introduction to Lebesgue Integration and Fourier Series by Howard J. Wilcox, David L. Myers Clear and concise introductory treatment for undergraduates covers Riemann integral, measurable sets and their properties, measurable functions, Lebesgue integral and convergence, pointwise conversion of Fourier series, other subjects. 1978 edition.
Fourier Optics: An Introduction (Second Edition) by E. G. Steward Appropriate for advanced undergraduate and graduate students, this text covers Fraunhofer diffraction, Fourier series and periodic structures, Fourier transforms, optical imaging and processing, image reconstruction, and more. Solutions. 1989 edition.
Complex Integration and Cauchy's Theorem by G.N. Watson Brief monograph by a distinguished mathematician offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Includes applications to the calculus of residues. 1914 edition.
General Theory of Functions and Integration by Angus E. Taylor Uniting a variety of approaches to the study of integration, a well-known professor presents a single-volume "blend of the particular and the general, of the concrete and the abstract." 1966 edition.
Geometric Integration Theory by Hassler Whitney Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. 1957 edition.
Integration, Measure and Probability by H. R. Pitt Introductory treatment develops the theory of integration in a general context, making it applicable to other branches of analysis. More specialized topics include convergence theorems and random sequences and functions. 1963 edition.
Methods of Numerical Integration: Second Edition by Philip J. Davis, Philip Rabinowitz Requiring only a background in calculus, this text covers approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. 1984 edition.
Numerical Methods for Scientists and Engineers by Richard Hamming This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.
Advanced Trigonometry by C. V. Durell, A. Robson This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.
Trigonometry Refresher by A. Albert Klaf Covers the most important aspects of plane and spherical trigonometry. Discusses special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. Includes 1,738 problems, many with solutions. 1946 edition. Features 494 figures.
Mathematical Methods in Physics and Engineering by John W. Dettman Algebraically based approach to vectors, mapping, diffraction, and other topics covers generalized functions, analytic function theory, Hilbert spaces, calculus of variations, boundary value problems, integral equations, more. 1969 edition.
This classic text features a sophisticated treatment of Fourier's pioneering method for expressing periodic functions as an infinite series of trigonometrical functions. Geared toward mathematicians already familiar with the elements of Lebesgue's theory of integration, the text serves as an introduction to Zygmund's standard treatise. Beginning with a brief introduction to some generalities of trigonometrical series, the book explores the Fourier series in Hilbert space as well as their convergence and summability. The authors provide an in-depth look at the applications of previously outlined theorems and conclude with an examination of general trigonometrical series. Ideally suited for both individual and classroom study, this incisive text offers advanced undergraduate and graduate students in mathematics, physics, and engineering a valuable tool in understanding the essentials of the Fourier series.
Reprint of the Cambridge University Press, London, 1956 edition.
This book was printed in the United States of America.
Dover books are made to last a lifetime. Our US book-manufacturing partners produce the highest quality books in the world and they create jobs for our fellow citizens. Manufacturing in the United States also ensures that our books are printed in an environmentally friendly fashion, on paper sourced from responsibly managed forests.