Algebra Books
De Gruyter Simulation of Flow in Porous Media: Applications in Energy and Environment
Book SynopsisSubsurface flow problems are inherently multiscale in space due to the large variability of material properties and in time due to the coupling of many different physical processes, such as advection, diffusion, reaction and phase exchange. Subsurface flow models still need considerable development. For example, nonequilibrium effects, entrapped air, anomalous dispersion and hysteresis effects can still not be adequately described. Moreover, parameters of the models are diffcult to access and often uncertain. Computational issues in subsurface flows include the treatment of strong heterogeneities and anisotropies in the models, the effcient solution of transport-reaction problems with many species, treatment of multiphase-multicomponent flows and the coupling of subsurface flow models to surface flow models given by shallow water or Stokes equations. With respect to energy and the environment, in particular the modelling and simulation of radioactive waste management and sequestration of CO2 underground have gained high interest in the community in recent years. Both applications provide unique challenges ranging from modelling of clay materials to treating very large scale models with high-performance computing. This book brings together key numerical mathematicians whose interest is in the analysis and computation of multiscale subsurface flow and practitioners from engineering and industry whose interest is in the applications of these core problems.Table of ContentsThe contributions present the state of the art in modeling, numerical methods and applications by experts in the field. Contributions 1 & 5 concentrate on (numerical) upscaling techniques, contributions 2, 4 & 6 are concerned with modeling and problem formulation while contribution 3 concentrates on effective solution techniques. There may be 1-2 more contributions. Contribution 1: Helge Dahle, Sarah Gasda: "Reduced models for large-scale CO2 storage" Contribution 2: Barbara Wohlmuth, Rainer Helmig: no title yet Contribution 3: Marco Discacciati: Mathematical and numerical methods for coupling surface and porous-media flows Contribution 4: Jürgen Fuhrmann: "Mathematical and numerical modeling of flow, transport and reactions in porous structures of electrochemical devices." Contribution 5: Ben Ganis, Gergina Pencheva, Bin Wang, Mary F. Wheeler, Ivan Yotov: "Mortar multiscale finite element methods for subsurface modeling" Contribution 6: Alain Bourgeat (Lyon), Sylvie Granet (EDF), Farid Smaï ( BRGM) Compositional Two-Phase Flow in Saturated-Unsaturated Porous Media: Benchmarks for Phase Appearance/Disappearance.
£93.10
De Gruyter Large Scale Inverse Problems: Computational Methods and Applications in the Earth Sciences
Book SynopsisThis book is the second volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications. The solution of inverse problems is fundamental to a wide variety of applications such as weather forecasting, medical tomography, and oil exploration. Regularisation techniques are needed to ensure solutions of sufficient quality to be useful, and soundly theoretically based. This book addresses the common techniques required for all the applications, and is thus truly interdisciplinary. This collection of survey articles focusses on the large inverse problems commonly arising in simulation and forecasting in the earth sciences. For example, operational weather forecasting models have between 107 and 108 degrees of freedom. Even so, these degrees of freedom represent grossly space-time averaged properties of the atmosphere. Accurate forecasts require accurate initial conditions. With recent developments in satellite data, there are between 106 and 107 observations each day. However, while these also represent space-time averaged properties, the averaging implicit in the measurements is quite different from that used in the models. In atmosphere and ocean applications, there is a physically-based model available which can be used to regularise the problem. We assume that there is a set of observations with known error characteristics available over a period of time. The basic deterministic technique is to fit a model trajectory to the observations over a period of time to within the observation error. Since the model is not perfect the model trajectory has to be corrected, which defines the data assimilation problem. The stochastic view can be expressed by using an ensemble of model trajectories, and calculating corrections to both the mean value and the spread which allow the observations to be fitted by each ensemble member. In other areas of earth science, only the structure of the model formulation itself is known and the aim is to use the past observation history to determine the unknown model parameters. The book records the achievements of Workshop 2 "Large-Scale Inverse Problems and Applications in the Earth Sciences". It involves experts in the theory of inverse problems together with experts working on both theoretical and practical aspects of the techniques by which large inverse problems arise in the earth sciences.Table of ContentsThe book will contain a selection of expository articles on large scale inverse problems in the earth sciences. These include seven survey and proceeding type articles on inverse problems and data Assimilation techniques, inverse problems in applications such as hydrology, geology, geophysics, weather prediction and imaging. Furthermore there will be reports on filter techniques and solvers for optimisation problems arising from data assimilation and inverse problems. Contributions: Roland Potthast, Melina A Freitag: Synergy of inverse problems and data assimilation techniques. Olaf A. Cirpka, Wolfgang Nowak, Ronnie L. Schwede, Wei Li: Geostatistical Approaches of Inverse Modelling in Subsurface Hydrology. Amos Lawless: Variational data assimilation for large-scale environmental problems. Martin Burger, Hendrik Dirks, Jahn Müller: Inverse problems in imaging. Sebastian Reich: Introduction to ensemble filter techniques for intermittent data assimilation. Serge Gratton, Philippe Toint: Optimisation methods for data assimilation in geosciences. Eldad Haber, Lior Horesh, Luis Tenorio: Design in inverse problems.
£93.10
De Gruyter Regularization Theory for Ill-posed Problems: Selected Topics
Book SynopsisThis monograph is a valuable contribution to the highly topical and extremly productive field of regularisation methods for inverse and ill-posed problems. The author is an internationally outstanding and accepted mathematician in this field. In his book he offers a well-balanced mixture of basic and innovative aspects. He demonstrates new, differentiated viewpoints, and important examples for applications. The book demontrates the current developments in the field of regularization theory, such as multiparameter regularization and regularization in learning theory. The book is written for graduate and PhD students and researchers in mathematics, natural sciences, engeneering, and medicine.
£144.40
De Gruyter Endliche Gruppen: Eine Einführung
Book SynopsisDieses Lehrbuch ist eine Einführung in die Techniken der Gruppentheorie und behandelt alle wichtigen Begriffe aus diesem Gebiet, wobei der Schwerpunkt im Bereich der endlichen Gruppen liegt. Es beginnt dort, wo die Gruppentheorie beginnt: bei den Permutationsgruppen. Danach werden wesentliche Strukturen und Methoden, wie das Arbeiten mit Kommutatoren und die Konstruktion von neuen aus gegebenen Gruppen behandelt. Nächstes Ziel sind die Fittinggruppe und ihre Verallgemeinerung, wozu nilpotente Gruppen studiert werden. Danach wendet sich der Text den einfachen Gruppen zu. Zu guter Letzt wird zunächst die Einfachheit der projektiven linearen Gruppen bewiesen und ein Überblick über orthogonale, symplektische und unitäre Gruppen gegeben. Weiter werden die sporadischen Mathieu-Gruppen und die Higman-Sims-Gruppe konstruiert. Das Buch ist geschrieben für Studierende im Bachelor- und Masterstudium. Es setzt den Besuch der üblichen Algebra-Vorlesungen und somit nur allgemeine Kenntnisse über Gruppen voraus.
£25.65
De Gruyter Eine mathematische Theorie der Sudokus
£91.68
£387.60
De Gruyter Weighted Complete Intersections
£131.00
De Gruyter Combinatorial Game Theory: A Special Collection in Honor of Elwyn Berlekamp, John H. Conway and Richard K. Guy
Book SynopsisElwyn Berlekamp, John Conway, and Richard Guy wrote ‘Winning Ways for your Mathematical Plays’ and turned a recreational mathematics topic into a full mathematical fi eld. They combined set theory, combinatorics, codes, algorithms, and a smattering of other fi elds, leavened with a liberal dose of humor and wit. Their legacy is a lively fi eld of study that still produces many surprises. Despite being experts in other areas of mathematics, in the 50 years since its publication, they also mentored, talked, and played games, giving their time, expertise, and guidance to several generations of mathematicians. This volume is dedicated to Elwyn Berlekamp, John Conway, and Richard Guy. It includes 20 contributions from colleagues that refl ect on their work in combinatorial game theory.
£156.75
De Gruyter Stereotype Spaces and Algebras
Book SynopsisThe term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.
£177.65
De Gruyter Irrationalzahlen
£95.00
De Gruyter Lineare Algebra
£95.00
De Gruyter Lineare Algebra
£95.00
De Gruyter Theorie Der Algebraischen Gleichungen
£95.00
£95.00
£95.00
De Gruyter Algebraische Topologie
£95.00
£95.00
De Gruyter Proportionen, Gleichungen
£95.00
Walter de Gruyter Abstract Algebra
Book Synopsis
£56.52
De Gruyter Discrete, Finite and Lie Groups: Comprehensive Group Theory in Geometry and Analysis
Book SynopsisIn a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order. First discrete and finite group theory, that includes the entire chemical-physical field of crystallography is developed self consistently, followed by the structural theory of Lie Algebras with a complete exposition of the roots and Dynkin diagrams lore. A primary on Fibre-Bundles, Connections and Gauge fields, Riemannian Geometry and the theory of Homogeneous Spaces G/H is also included and systematically developed.
£81.90
De Gruyter Allgemeine Arithmetik
£95.00
De Gruyter Nonstandard-Analysis
Book Synopsis
£57.60
£95.00
£95.00
£95.00
De Gruyter Harmonic Analysis Methods in Partial Differential
Book Synopsis
£139.17
De Gruyter Number Theory
£78.85
De Gruyter Algebras of Unbounded Operators
£83.60
De Gruyter SpaceTime Algebra of Sedeons
Book Synopsis
£108.30
De Gruyter Banach Algebras and Harmonic Analysis
£116.85
De Gruyter Mathematical Cryptology
£77.90
£99.28
£95.00
£99.28
De Gruyter Einführung in Das Programmieren in Assembler: Systeme IBM 360, IBM 370, Siemens 4004, UNIVAC 9000
£95.00
£95.00
De Gruyter Einführung in Das Programmieren in Assembler: Systeme Ibm, Siemens, UNIVAC Interdata, Ibm-Pc/370
£95.00
De Gruyter Integralsätze Der Analysis
£95.00
De Gruyter Medizinische Mikrobiologie Mit Repetitorium
£133.95
De Gruyter Strategische Unternehmungsführung
£95.00
De Gruyter Investitionsrechnung
£95.00
De Gruyter Rechtssoziologie
£95.00
£95.00
De Gruyter Einführung in Das Alte Testament
£112.10
De Gruyter Einführung in Das Programmieren in FORTRAN
£95.00
De Gruyter Rechnen
£95.00
de Gruyter Studien Zur Algebra Und Ihre Anwendungen Mit
Book Synopsis
£126.64
De Gruyter General Lattice Theory
£111.62
