Presenting the various approaches to the study of integration, a well-known mathematics professor brings together in one volume "a blend of the particular and the general, of the concrete and the abstract." This volume is suitable for advanced undergraduates and graduate courses as well as for indepe... read more
Customers who bought this book also bought:
Our Editors also recommend:
Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov, S. V. Fomin Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.
Functional Analysis by Frigyes Riesz, Béla Sz.-Nagy Classic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 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.
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.
Introduction to Proof in Abstract Mathematics by Andrew Wohlgemuth This undergraduate text teaches students what constitutes an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. 1990 edition.
A First Look at Numerical Functional Analysis by W. W. Sawyer Text by renowned educator shows how problems in numerical analysis lead to concepts of functional analysis. Topics include Banach and Hilbert spaces, contraction mappings, convergence, differentiation and integration, and Euclidean space. 1978 edition.
Understanding Infinity: The Mathematics of Infinite Processes by A. Gardiner An introduction to "why the calculus works," this volume offers a 4-part treatment, from an overview and detailed examination of the infinite processes to the evolution of the concept of functions. 1982 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.
Asymptotic Expansions by A. Erdélyi Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.
Introduction to Bessel Functions by Frank Bowman Self-contained text, useful for classroom or independent study, covers Bessel functions of zero order, modified Bessel functions, definite integrals, asymptotic expansions, and Bessel functions of any real order. 226 problems.
The Theory of Functions of Real Variables: Second Edition by Lawrence M Graves This balanced introduction covers all fundamentals, from the real number system and point sets to set theory and metric spaces. Useful references to the literature conclude each chapter. 1956 edition.
Algebras of Holomorphic Functions and Control Theory by Amol Sasane Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.
Presenting the various approaches to the study of integration, a well-known mathematics professor brings together in one volume "a blend of the particular and the general, of the concrete and the abstract." This volume is suitable for advanced undergraduates and graduate courses as well as for independent study. 1966 edition.
Reprint of the Blaisdell Publishing Company, Waltham, MA, 1966 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.