Research Catalog

The theory of functions

Title
  1. The theory of functions / by E.C. Titchmarsh.
Published by
  1. London : Oxford University Press, 1939.
Author
  1. Titchmarsh, E. C. (Edward Charles), 1899-1963

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Details

Description
  1. x, 454 pages; 23 cm
Summary
  1. The success which this book has achieved proves that Professor Titchmarsh was right in anticipating that the collection which he describes too modestly as consisting of 'rather disconnected introductions to various branches of the theory of functions' would be of service to students to whom the mass of existing material appeared 'rather formidable'. It proves, too, that early reviewers were right in recognizing a quality of readability in his writing; in effect, the advice given to students was: 'This is a book from which you will be able to learn how to do mathematics', and we cannot do better than repeat this advice with all the confidence that comes from knowing that it has been endorsed by those best situated to discover that it was sound, namely, the students who have followed it. --Nature.
Subject
  1. Functions
  2. functions (mathematics)
  3. Functions
  4. Funktionentheorie
  5. Functietheorie
  6. Funcoes (Matematica)
  7. Functions of real variables
  8. Analytic functions
Contents
  1. Infinite series, products, and integrals -- Analytic functions -- Residues, contour integration, zeros -- Analytic continuation -- The maximum-modulus theorem -- Conformal representation -- Power series with a finite radius of convergence -- Integral functions -- Dirichlet series -- The theory of measure and the Lebesgue integral -- Differentiation and integration -- Further theorems on Lebesgue integration -- Fourier series.
Owning institution
  1. Princeton University Library
Note
  1. Imprint varies.
Bibliography (note)
  1. Bibliography: p. [445]-452.