Hardcover
ISBN 978-3-11-022400-9
Series: Inverse and Ill-Posed Problems Series 55
to be published October 2011
24 x 17 cm
Approx. x, 440 pages
Languages: English
Type of Publication: Monograph
Covering a topic that is abundant in all areas of science and technology
Including methods for incomplete input data
Enabling readers to tackle real-world problems
Inverse Problems are abundant in all areas of science and technology. There also are books that convey, at various levels, how to
tackle these problems, however many of them under the assumption that the input data be complete.
Many problems in real life do not come with sufficient data, but a solution must be found anyway. This work closes this gap written
by one of the foremost experts in that field.
Mathematics > Mathematics, General
Mathematics > Analysis
Mathematics > Numerical Mathematics
Mathematics > Applied Mathematics
Keywords
Ill-posed Problems; Inverse Problem; Regularization; Integral Equation; Differential Equation
Hardcover
ISBN 978-3-11-025302-3
Series: De Gruyter Studies in Mathematics
to be published December 2011
24 x 17 cm
Approx. x, 400 pages
Languages: English
Type of Publication: Monograph
Attractive for practical needs: contains many easily computable or computer friendly representations of Green's functions
Includes all the standard Green's functions in the field and as many novel ones as possible
Provides innovative and new approaches that might lead to Green's functions
Green's function represents one of the classical and widely used issues in the area of differential equations.
This text is looking at applied elliptic and parabolic type partial differential equations in two variables. The elliptic type includes the
Laplace, static Klein-Gordon and biharmonic equation. The parabolic type is represented in this text by the classical heat equation
and the Black-Scholes equation which has emerged as a mathematical model in financial mathematics.
This book is a useful source for everyone who is studying or working in the fields of science, finance or engineering that involve
practical solution of partial differential equations.
Mathematics > Mathematics, General
Mathematics > Analysis
Mathematics > Applied Mathematics
Hardcover
ISBN 978-3-11-025034-3
Series: De Gruyter Proceedings in Mathematics
to be published January 2012
24 x 17 cm
Approx. xx, 480 pages
Languages: English
Type of Publication: Proceedings
Survey articles on current research
Brings together noetherian and non-noetherian commutative algebra
This is a collection of state-of-the-art survey articles which emanates from three commutative algebra sessions at the AMS meetings
in 2009. The articles reach into diverse areas of commutative algebra and build a bridge between noetherian and non-noetherian
commutative algebra. The current trends in the most active areas of commutative algebra are presented: non-noetherian rings
(factorization, ideal theory, integrality) advances from the homological study of noetherian rings (local theory, graded situation and its
interactions with combinatorics and geometry).
Mathematics > Mathematics, General
Mathematics > Algebra, Number theory
Algebra; Commutative; Ring Theory; Homology; Decompositions
Hardcover
ISBN 978-3-11-025041-1
Series: De Gruyter Series in Nonlinear Analysis and Applications 14
to be published May 2012
24 x 17 cm
Approx. x, 500 pages
Languages: English
Type of Publication: Monograph
Revised edition of a well established reference book
New chapters on variable Lp and Lorentz spaces
This is the extended edition of the well established book "Function Spaces" by Kufner/John/Fucik. Like the first edition this
monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue
of various spaces and benefits as a handbook for persons who use function spaces to study other topics such as partial differential
equations. A closer look is amongst others given to Lebesgue, Banach, Lorentz, Orlicz, Campanato and Morrey, Sobolev, Wk,p and Lp
spaces.
The reader is expected to be familiar with classical analysis in Rn, but not necessarily with functional analysis.
Mathematics > Mathematics, General
Mathematics > Analysis
Function Space; Lebesgue; Banach; Lorentz; Orlicz; Sobolev