Denna webbshop är stängd för köp.
Klicka här för mer information

Complex Proofs of Real Theorems
  • Bandtyp: Häftad
  • Språk: Engelska
  • Utgiven: 20120316
  • Antal sidor: 90
  • Vikt i gram: 200
  • ISBN10:0821875590
  • ISBN13:9780821875599

Complex Proofs of Real Theorems

(Häftad)
Beskrivning:

Complex Proofs of Real Theorems is an extended meditation on Hadamard's famous dictum, ""The shortest and best way between two truths of the real domain often passes through the imaginary one.'' Directed at an audience acquainted with analysis at the first year graduate level, it aims at illustrating how complex variables can be used to provide quick and efficient proofs of a wide variety of important results in such areas of analysis as approximation theory, operator theory, harmonic analysis, and complex dynamics. Topics discussed include weighted approximation on the line, Muntz's theorem, Toeplitz operators, Beurling's theorem on the invariant spaces of the shift operator, prediction theory, the Riesz convexity theorem, the Paley-Wiener theorem, the Titchmarsh convolution theorem, the Gleason-Kahane-Zelazko theorem, and the Fatou-Julia-Baker theorem. The discussion begins with the world's shortest proof of the fundamental theorem of algebra and concludes with Newman's almost effortless proof of the prime number theorem. Four brief appendices provide all necessary background in complex analysis beyond the standard first year graduate course. Lovers of analysis and beautiful proofs will read and reread this slim volume with pleasure and profit.

Kundrecensioner och bloggar

Sök fler böcker:

Kunder som köpt denna bok har
även köpt:
Skotten i Köpenhamn :  ett reportage om
Vintermörker :  samlade spänningshistori
Uppgång och fall
Uppgång och fall
av Strömquist, Liv
Miniatyrmakaren
Miniatyrmakaren
av Burton, Jessie
Min mors självbiografi
Min mors självbiografi
av Kincaid, Jamaica