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Calculus of Finite Differences: Third Edition
Charles Jordan
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AMS Chelsea Publishing
1965; 654 pp; hardcover
Reprint/Revision History:
reprinted 1979
ISBN-10: 0-8284-0033-4
ISBN-13: 978-0-8284-0033-6
List Price: US$58
Member Price: US$52.20
Order Code: CHEL/33
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Reviews

"Destined to remain the classic treatment of the subject ... for many years to come ... Although an inspection of the table of contents reveals a coverage so extensive that the work of more than 600 pages might lead one at first to regard this book as an encyclopedia on the subject, a reading of any chapter of the text will impress the reader as a friendly lecture revealing an unusual appreciation of both rigor and the computing technique so important to the statistician. In a word, Jordan's work is a most readable and detailed record of lectures on the Calculus of Finite Differences which will certainly appeal tremendously to the statistician and which could have been written only by one possessing a deep appreciation of mathematical statistics."

-- Harry C. Carver, founder and former Editor of the Annals of Mathematical Statistics

Table of Contents

  • On operations
  • Functions important in the calculus of finite differences
  • Inverse operation of differences and means. Sums
  • Stirling's numbers
  • Bernoulli polynomials and numbers
  • Euler's and Boole's polynomials. Sums of reciprocal powers
  • Expansion of functions, interpolation, construction of tables
  • Approximation and graduation
  • Numerical solution of equations. Numerical integration
  • Functions of several independent variables
  • Difference equations
  • Partial difference equations
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