This clear and concise introductory treatment for undergraduates covers the Riemann integral, measurable sets and their properties, measurable functions, the Lebesgue integral and convergence, pointwise conversion of the Fourier series, and other subjects. Numerous examples and exercises supplement t... read more
Customers who bought this book also bought:
Our Editors also recommend:
Fourier Series by G. H. Hardy, W. W. 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.
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 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.
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.
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.
Asymptotic Expansions of Integrals by Norman Bleistein, Richard A, Handelsman Excellent introductory text by two experts presents a coherent, systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. 1975 edition.
This clear and concise introductory treatment for undergraduates covers the Riemann integral, measurable sets and their properties, measurable functions, the Lebesgue integral and convergence, pointwise conversion of the Fourier series, and other subjects. Numerous examples and exercises supplement the text. Basic knowledge of advanced calculus is the sole prerequisite. 1978 edition.
Reprint of the Robert E. Krieger Publishing Company, Huntington, New York, 1978 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.