integration mathematical mathematician interpolation

books:

Descartes' Dream: The World According to Mathematics (Dover Science Books)

4 reviews
Philip J. Davis, Reuben Hersh

Dover Publications, 2005

Provides insight
I read this book over 20 yrs. ago, recommended by a friend who's a first rate mathematician, J. Palmore. I recall 2 things. First, that 'fairness' is not uniquely defined. Nice examples are given. Second, the 5 methods of mathematical proof: (i) proof by reference to the literature, (ii) proof by intimidation ("It's obvious!"), etc. Also recommended: to read in Descartes' memoirs the description ...

Mathematics And Common Sense: A Case of Creative Tension

1 review
Philip J. Davis

AK Peters, 2006

A poorly edited work
I've managed to read 35 pages of this book and have found four errors: Page xxxiii: Extra word "(b) if a certain event or is highly..." Page 10: "Javanese" (I'm assuming they meant Japanese) Page 30: Extra word "in scientific and technical and organizations." Page 33: Paragraph cutoff: "And note" (And note what?) I really question whether anyone proofed this book before sending it ...

The Mathematical Experience

15 reviews
Philip J. Davis, Reuben Hersh

Houghton Mifflin Company, 1982

Philosophy, History and Myths of Mathematics
The Mathematical Experience by Philip J. Davis and Reuben Hersh 1981 Houghton Mifflin Company, Boston Is all of pure mathematics a meaningless game? What are the contradictions that upset the very foundations of mathematics? If a can of tuna cost $1.05 how much does two cans of tuna cost (Pg. 71)? If you think you know the answer, don't be so sure. How old are the oldest mathematical tables? ...

Interpolation and Approximation

1 review
Philip J. Davis

Dover Publications, 1975

covers complex analytic functions
There are two principal reasons to recommend this book. First, it is one of the rare books in approximation theory that covers complex analytic functions. Second, the selection and presentation of the material is unusually clear and full of useful examples. The author balances the level of generality against the usefulness of the result. In other words, he avoids the trap of stating the ...

The Thread: A Mathematical Yarn

3 reviews
Philip J. Davis

Harcourt, 1989

Well written and very funny.
I read this book some 10 or more years ago. It's very interesting and very funny. The story starts when the author reads a glowing review of his doctoral thesis. There is, HOWEVER, a catch, and it leads the author on a quest for the correct spelling of the mathematician Chebychev's name. I haven't read any of the author's other books, but I'd say he does pretty well, and would expect good and ...

The Education of a Mathematician
Philip J. Davis

AK Peters, 2000

Circulant Matrices
Philip J. Davis

Chelsea Pub Co, 1994

From the Preface: "Twenty years ago, noting that the basic facts about circulant matrices and its relationship to the Discrete Fourier Transform were rediscovered over and over again, I thought it might be worthwhile to publish a small book in which these facts were summarized (1979). What I did not realize was the extent to which in the years to come circulant matrices would play a role in applications and the extent to which algebraists, ...

The Companion Guide to the Mathematical Experience: Study Edition
Philip J. Davis, Reuben Hersh, ...

Birkhäuser Boston, 2003

Methods of Numerical Integration: Second Edition
Philip J. Davis, Philip Rabinowitz

Dover Publications, 2007

Useful to programmers and stimulating for theoreticians, this text offers a balanced presentation accessible to those with a background in calculus. Topics include approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. Includes five helpful appendixes. 1984 edition.

3.1416 and All That
Philip J. Davis, William G. Chinn

Dover Publications, 2007

Mathematics is expressed in symbols, and this captivating primer explains the intricacies of symbolic language. No background in mathematics is needed to appreciate these graceful meditations on "Chaos and Polygons," "The House that Geometry Built," "The Logical Lie Detector," and other thought-provoking essays on the appeal of mathematics.

search for books
approximation, integration, interpolation, mathematical, mathematician

Impressum / about us