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The theory of functions / by E.C. Titchmarsh.


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Titchmarsh, E. C. (Edward Charles), 1899-
Publication date:
2d ed. - [London] : Oxford University Press, 1939.
  • Book
  • x, 454 p. ; 23 cm
Includes index.
Bibliography: p. [445]-452.
  • 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.
The success which this book has achieve 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.
Available in another form:
Online version: Titchmarsh, E. C. (Edward Charles), 1899- Theory of functions. 2d ed. [London] Oxford University Press, 1939 (OCoLC)609744562

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