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The Geometry Of Domains In Space

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:The Geometry Of Domains In SpaceISBN13:9781461271994ISBN10:1461271991Author:Krantz, Steven G. (Author), Parks, Harold R. (Author)Description:The Analysis Of Euclidean Space Is Well-Developed The Classical Lie Groups That Act Naturally On Euclidean Space-The Rotations, Dilations, And Trans- Lations-Have Both Shaped And Guided This Development In Particular, The Fourier Transform And The Theory Of Translation Invariant Operators (Convolution Transforms) Have Played A Central Role In This Analysis Much Modern Work In Analysis Takes Place On A Domain In Space In This Context The Tools, Perforce, Must Be Different No Longer Can We Expect There To Be Symmetries Correspondingly, There Is No Longer Any Natural Way To Apply The Fourier Transform Pseudodifferential Operators And Fourier Integral Operators Can Playa Role In Solving Some Of The Problems, But Other Problems Require New, More Geometric, Ideas At A More Basic Level, The Analysis Of A Smoothly Bounded Domain In Space Requires A Great Deal Of Preliminary Spadework Tubular Neighbor- Hoods, The Second Fundamental Form, The Notion Of Positive Reach, And The Implicit Function Theorem Are Just Some Of The Tools That Need To Be Invoked Regularly To Set Up This Analysis The Normal And Tangent Bundles Become Part Of The Language Of Classical Analysis When That Analysis Is Done On A Domain Many Of The Ideas In Partial Differential Equations-Such As Egorov's Canonical Transformation Theorem-Become Rather Natural When Viewed In Geometric Language Many Of The Questions That Are Natural To An Analyst-Such As Extension Theorems For Various Classes Of Functions-Are Most Naturally Formulated Using Ideas From Geometry Binding:Paperback, PaperbackPublisher:SPRINGER NATUREPublication Date:2012-10-13Weight:1.14 lbsDimensions:0.68'' H x 9.61'' L x 6.69'' WNumber of Pages:309Language:English

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Location: USA

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The Geometry Of Domains In Space

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Book Title: The Geometry Of Domains In Space

Item Length: 9.6in

Item Height: 0.7in

Item Width: 6.7in

Author: Harold R. Parks, Steven G. Krantz

Publication Name: Geometry of Domains in Space

Format: Trade Paperback

Language: English

Publisher: Birkhäuser Boston

Publication Year: 2012

Series: Birkhäuser Advanced Texts Basler Lehrbücher Ser.

Type: Textbook

Item Weight: 19.8 Oz

Number of Pages: X, 309 Pages

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