Partial Differential Equations 1 Foundations and Integral Representations /

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations....

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Sauvigny, Friedrich (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: London : Springer London, 2012.
Έκδοση:2nd ed. 2012.
Σειρά:Universitext,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02829nam a22004695i 4500
001 978-1-4471-2981-3
003 DE-He213
005 20151125021902.0
007 cr nn 008mamaa
008 120327s2012 xxk| s |||| 0|eng d
020 |a 9781447129813  |9 978-1-4471-2981-3 
024 7 |a 10.1007/978-1-4471-2981-3  |2 doi 
040 |d GrThAP 
050 4 |a QA370-380 
072 7 |a PBKJ  |2 bicssc 
072 7 |a MAT007000  |2 bisacsh 
082 0 4 |a 515.353  |2 23 
100 1 |a Sauvigny, Friedrich.  |e author. 
245 1 0 |a Partial Differential Equations 1  |h [electronic resource] :  |b Foundations and Integral Representations /  |c by Friedrich Sauvigny. 
250 |a 2nd ed. 2012. 
264 1 |a London :  |b Springer London,  |c 2012. 
300 |a XV, 447 p. 16 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Universitext,  |x 0172-5939 
505 0 |a Differentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwer’s Degree of Mapping -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in Rn. 
520 |a This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated: • integration and differentiation on manifolds • foundations of functional analysis • Brouwer's mapping degree • generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. The second volume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study. 
650 0 |a Mathematics. 
650 0 |a Partial differential equations. 
650 0 |a Physics. 
650 1 4 |a Mathematics. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Mathematical Methods in Physics. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9781447129806 
830 0 |a Universitext,  |x 0172-5939 
856 4 0 |u http://dx.doi.org/10.1007/978-1-4471-2981-3  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)