02940nam a22004815i 4500
978-3-540-34459-9
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20181204131310.0
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9783540344599
978-3-540-34459-9
10.1007/3-540-34459-4
doi
ISI Library, Kolkata
QA370-380
PBKJ
bicssc
MAT007000
bisacsh
PBKJ
thema
515.353
23
Sauvigny, Friedrich.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Partial Differential Equations 1
[electronic resource] :
Foundations and Integral Representations /
by Friedrich Sauvigny.
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2006.
XIV, 437 p. 14 illus., 1 illus. in color.
online resource.
text
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rdamedia
online resource
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Universitext,
0172-5939
Differentiation and Integration on Manifolds -- Foundations of Functional Analysis -- Brouwer’s Degree of Mapping with Geometric Applications -- Generalized Analytic Functions -- Potential Theory and Spherical Harmonics -- Linear Partial Differential Equations in ?n.
This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.
Differential equations, partial.
Mathematical physics.
Partial Differential Equations.
http://scigraph.springernature.com/things/product-market-codes/M12155
Mathematical Methods in Physics.
http://scigraph.springernature.com/things/product-market-codes/P19013
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783540824503
Printed edition:
9783540344575
Universitext,
0172-5939
https://doi.org/10.1007/3-540-34459-4
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
425178
425178