Complex Proofs of Real Theorems

Released on by Peter D. Lax
preview-18

  • Complex Proofs of Real Theorems Book Detail

  • Author : Peter D. Lax
  • Release Date : 2011-12-21
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 106
  • ISBN 13 : 0821875590
  • File Size : 87,87 MB
DOWNLOAD BOOK

Complex Proofs of Real Theorems by Peter D. Lax PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Complex Proofs of Real Theorems books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Complex Proofs of Real Theorems

Complex Proofs of Real Theorems

File Size : 98,98 MB
Total View : 6946 Views
DOWNLOAD

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 p

The Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra

File Size : 36,36 MB
Total View : 6010 Views
DOWNLOAD

The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from thr

The Prime Number Theorem

The Prime Number Theorem

File Size : 74,74 MB
Total View : 7968 Views
DOWNLOAD

At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tel