|
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
|
Buy Now
Complex Proofs of Real Theorems (Paperback)
Loot Price: R1,771
Discovery Miles 17 710
|
|
|
Complex Proofs of Real Theorems (Paperback)
Series: University Lecture Series
Expected to ship within 12 - 17 working days
|
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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
(1)
