2006, XII, 416 p., 15 illus., Hardcover.
ISBN: 3-540-33765-2
About this book
This volume contains selected papers by Torben Krarup, one of the
most important geodesists of the 20th century. His writings are
mathematically well founded and scientifically relevant. In this
impressive collection of papers he demonstrates his rare
innovative ability to present significant topics and concepts.
Modern students of geodesy can learn a lot from his selection of
mathematical tools for solving actual problems.
The collection contains the famous booklet "A Contribution
to the Mathematical Foundation of Physical Geodesy" from
1969, the unpublished "Molodenskij letters" from 1973,
the final version of "Integrated Geodesy" from 1978,
"Foundation of a Theory of Elasticity for Geodetic Networks"
from 1974, as well as numerous trend setting papers on the theory
of adjustment.
Written for:
Scientists, libraries, institutes, researchers in Geodesy,
Geophysics, Mathematics
Table of contents
Linear Equations.- The Adjustment Procedure in Tensor Form.- The
Theory of Rounding Errors in the Adjustment by Elements.- A
Contribution to the Mathematical Foundation of Physical Geodesy.-
A Remark on Approximation of T by Series in Spherical Harmonics.-
On the Geometry of Adjustment.- Remarks to the Discussion
Yesterday.- Letters on Molodenskiy’s Problem.- On the Spectrum
of Geodetic Networks.- Mathematical Geodesy.- Foundation of a
Theory of Elasticity for Geodetic Networks.- Integrated Geodesy.-
On Potential Theory.- La Formule de Stokes Est-Elle Correcte?.-
Some Remarks About Collocation.- Apropos Some Recent Papers by
Willi Freeden.- S-Transformation.- Integrated Geodesy.- A Measure
for Local Redundancy.- A Convergence Problem in Collocation
Theory.- Non-Linear Adjustment and Curvature.- Mechanics of
Adjustment.- Angelica Returning or The Importance of a Title.-
Evaluation of Isotropic Covariance Functions.- Contribution to
the Geometry of the Helmert Transformation.- Letter on a Problem
in Collocation Theory.- Approximation to The Earth Potential.-
Relative Orientation in Photogrammetry.- Bibliography for Torben
Krarup.
2006, Approx. 420 p., Hardcover.
ISBN: 0-387-24600-2
Due: June 2006
About this book
For over 40 years, Robert Gilmer’s numerous articles and books
have had a tremendous impact on research in commutative algebra.
It is not an exaggeration to say that most articles published
today in non-Noeotherian ring theory, and some in Noetherian ring
theory as well, originated in a topic that Gilmer either
initiated or enriched by his work. This volume, a tribute to his
work, consists of articles by some of the most prominent experts
in the field. These articles combine in various degrees surveys
of past work, by Gilmer and others, recent results which had
never before seen print, open problems, and an extensive
bibliography. In a concluding article, Gilmer points out
directions for future research, highlighting the open problems in
the areas he considers of importance. The entire collection
provides an in-depth overview of the topics of research in a
significant and large area of commutative algebra, covering the
last forty years.
Written for:
Researchers and graduate students in the field of commutative
algebra.
Table of contents
Tentative list of topics:
Primary ideals and primary decomposition, overrings of domains
and rings, Prufer domains and rings, D+M constructions, finite
generating sets of invertible ideals, endomorphisms and
automorphisms of R[x] and R[[x]], dimension theory, factorization
in groups and semigroups, semigroups, countability conditions in
commutative rings and modules, E-ideals and E-rings, integer
valued polynomials, Hilbert Rings, zero-dimensional rings,
integral closures, star operations, coherence and finite
conductor properties, Gaussian property.
Tentative contributors:
D.D. Anderson, D.F. Anderson, J. Arnold, J. Brewer, V. Barucci, A.
Badawi, P.-J. Cahen, J.-L. Chabert, J. Coykendall, S. Chapman, D.
Dobbs, M. Fontana, S. Glaz, S. Gabelli, R. Gilmer, W. Heinzer, E.
Houston, J. Huckaba, F. Halter-Koch, B. Kang, S. Kabbaj, T.
Lucas, A. Loper, D. Lanz, J. Mott, J. Ohm, B. Oldberding, I.
Papick, Gabriel Picavet, Martine Picavet, M. Roitman, W. Smith, M.
Teply, Roger Wiegand, Sylvia Wiegand, M. Zafrullah
Series: Frontiers in Mathematics
2006, Approx. 215 p., Softcover.
ISBN: 3-7643-7705-4
Due: July 2006
About this book
Problems linking the shape of a domain or the coefficients of an
elliptic operator to the sequence of its eigenvalues are among
the most fascinating of mathematical analysis. In this book, we
focus on extremal problems. For instance, we look for a domain
which minimizes or maximizes a given eigenvalue of the Laplace
operator with various boundary conditions and various geometric
constraints. We also consider the case of functions of
eigenvalues. We investigate similar questions for other elliptic
operators, such as the Schrodinger operator, non homogeneous
membranes, or the bi-Laplacian, and we look at optimal composites
and optimal insulation problems in terms of eigenvalues.
Providing also a self-contained presentation of classical
isoperimetric inequalities for eigenvalues and 30 open problems,
this book will be useful for pure and applied mathematicians,
particularly those interested in partial differential equations,
the calculus of variations, differential geometry, or spectral
theory.
Written for:
Mathematicians interested in PDE, calculus of variations,
differential geometry, or spectral theory
Table of contents
Series: Nonconvex Optimization and Its Applications , Vol. 87
2006, XIV, 338 p., Hardcover.
ISBN: 0-387-32898-X
About this book
Complementarity theory, a relatively new domain in applied
mathematics, has deep connections with several aspects of
fundamental mathematics and also has many applications in
optimization, economics and engineering. The study of variational
inequalities is another domain of applied mathematics with many
applications to the study of certain problems with unilateral
conditions. This book is the first to discuss complementarity
theory and variational inequalities using Leray?Schauder type
alternatives. The ideas and method presented in this book may be
considered as a starting point for new developments.
Written for:
Researchers and advanced graduate students in optimization,
applied nonlinear analysis, complementarity theory, the theory of
variational inequalities, and operations research
Table of contents
Preface.- 1. Preliminary notions.- 2. Complementarity problems
and variational inequalities.- 3. Leray?Schauder alternatives.- 4.
The origin of the notion of exceptional family of elements.- 5.
Leray?Schauder type alternatives. Existence theorems.- 6.
Infinitesimal exceptional family of elements.- 7. More about the
notion of exceptional family of elements.- 8. Exceptional family
of elements and variational inequalities.- Bibliography.- Index.
2006, XXVIII, 604 p., 20 illus., Hardcover.
ISBN: 0-387-34148-X
Due: July 2006
About this book
S.L. Sobolev (1908?1989) was a great mathematician of the
twentieth century. His selected works included in this volume
laid the foundations for intensive development of the modern
theory of partial differential equations and equations of
mathematical physics, and they were a gold mine for new
directions of functional analysis and computational mathematics.
The topics covered in this volume includes Sobolev’s
fundamental works on equations of mathematical physics,
computational mathematics, and cubature formulas. Some of the
articles are generally unknown to mathematicians because they
were published in journals that are difficult to access.
Written for:
Mathematicians, especially those interested in mechanics and
physics, and graduate and postgraduate students in mathematics
and physics departments.
Table of contents