Mathematical Analysis: Linear And Metric Structures And Continuity

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Mathematical Analysis: Linear And Metric Structures And ContinuityISBN13:9780817643751ISBN10:0817643753Author:Giaquinta, Mariano (Author), Modica, Giuseppe (Author)Description:One Of The Fundamental Ideas Of Mathematical Analysis Is The Notion Of A Function; We Use It To Describe And Study Relationships Among Variable Quantities In A System And Transformations Of A System We Have Already Discussed Real Functions Of One Real Variable And A Few Examples Of Functions Of Several Variables But There Are Many More Examples Of Functions That The Real World, Physics, Natural And Social Sciences, And Mathematics Have To Offer: (A) Not Only Do We Associate Numbers And Points To Points, But We As- Ciate Numbers Or Vectors To Vectors, (B) In The Calculus Of Variations And In Mechanics One Associates An - Ergy Or Action To Each Curve Y(T) Connecting Two Points (A, Y(A)) And (B, Y(B)): B Lea (Y) - 9 F(T, Y(T), Y' (T))Dt T J A In Terms Of The So-Called Lagrangian F(T, Y, P), (C) In The Theory Of Integral Equations One Maps A Function Into A New Function B 1, D-R O J A By Means Of A Kernel K(S, T), (D) In The Theory Of Differential Equations One Considers Transformations Of A Function X(T) Into The New Function T T F F( A Where F(S, Y) Is Given 1 In M Giaquinta, G Modica, Mathematical Analysis Functions Of One Va- Able, Birkh User, Boston, 2003, Which We Shall Refer To As Gm1] And In M G- Quinta, G Modica, Mathematical Analysis Approximation And Discrete Processes, Birkhs Boston, 2004, Which We Shall Refer To As Gm2] Binding:Paperback, PaperbackPublisher:SPRINGER NATUREPublication Date:2007-09-04Weight:1.34 lbsDimensions:0.86'' H x 9.23'' L x 6.35'' WNumber of Pages:465Language:English

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Location: USA

End Time: 2024-10-19T11:24:55.000Z

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