Bücher veröffentlicht von Birkhauser Verlag AG

The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming.

The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies the sphere geometries of Mobius and Lie as well as geometries where Lorentz transformations play the key role.Proofs of newer theorems characterizing isometries and Lorentz transformations under mild hypotheses are included, such as for instance infinite dimensional versions of famous theorems of A.D. Alexandrov on Lorentz transformations. A real benefit is the dimension-free approach to important geometrical theories. New to this third edition is a chapter dealing with a simple and great idea of Leibniz that allows us to characterize, for these same spaces X, hyperplanes of euclidean, hyperbolic geometry, or spherical geometry, the geometries of Lorentz-Minkowski and de Sitter, and this through finite or infinite dimensions greater than 1. Another new and fundamental result in this edition concerns the representation of hyperbolic motions, their form and their transformations. Further we show that the geometry (P,G) of segments based on X is isomorphic to the hyperbolic geometry over X. Here P collects all x in X of norm less than one, G is defined to be the group of bijections of P transforming segments of P onto segments.The only prerequisites for reading this book are basic linear algebra and basic 2- and 3-dimensional real geometry. This implies that mathematicians who have not so far been especially interested in geometry could study and understand some of the great ideas of classical geometries in modern and general contexts.

In dem vorliegenden Buch sind Methoden zur Bestimmung von Standorten und Einzugsbereichen zentraler Einrichtungen zusammengefaßt, um den in der Planungspraxis tätigen Stadt-, Regional- und Landesplanern eine handbuchartige Zusammenstellung über Methoden für die Standort­ bestimmung zur Verfügung zu stellen. Es sollen darüber hinaus dem wissenschaftlich orientierten Planer Ansatzpunkte für weitere For­ schungsarbeiten gezeigt werden. Das Buch ist die überarbeitete Fas­ sung meiner Dissertation, die der Abteilung Raumplanung, Universität Dortmund, im Mai 1976 vorgelegt wurde. Es ist während einer mehrjähri­ gen Lehr- und Forschungstätigkeit an der Abteilung Raumplanung, Universität Dortmund, entstanden und durch Diskussionen mit Kollegen und Studenten begleitet worden. Ihnen sei an dieser Stelle gedankt. Mein Dank gilt insbesondere Herrn Professor Dr.-Ing. H. Schoof, Frau Professor Dr.rer.nat. Dr.rer.pol. W. Rödding, Herrn Professor Dr.rer. nat. V. Kreibich, alle Universität Dortmund, Herrn Professor Dr.rer. nat. G. Frank, Universität Hagen sowie meinen Kollegen am Fachgebiet Stadt- und Regionalplanung der Abteilung Raumplanung, Herrn Dr.-Ing. M. Hauschild, Herrn Dr.rer.pol. R. Hoberg, Herrn Dipl.-Ing. c. Reetz und Herrn Lic.rer.reg. Dipl.-Kfm. D. Schiebold. Dortmund, im September 1977 Lüder Bach I N H A L S T U B E R S I C H T Seite Einleitung Teil I: Standortbestimmung für zentrale Einrichtungen im Rah­ men sektoraler räumlicher Entwicklungsplanungen Systeme zentraler Einrichtungen als Gegenstand raum­ 1.

The authors of this book analyse these instruments - green taxes, tradeable permits, covenants, joint implementation, internationally tradeable quotas - from the point of view of costeffectiveness, their ability to achieve environmental goals, and public and corporate acceptability.

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis.

This book provides a review of imaging techniques and applications in stem cell transplantation and other cell-based therapies. Essential reading for radiologists and physicians who are interested in developing a basic understanding of stem cell imaging and applications of stem cells and cell based therapies.

The papers presented in this volume address diverse challenges in energy systems, ranging from operational to investment planning problems, from market economics to technical and environmental considerations, from distribution grids to transmission grids and from theoretical considerations to data provision concerns and applied case studies.

This book is the fifth and final volume of Raoul Bott¿s Collected Papers. It collects all of Bott¿s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah¿s obituary of Raoul Bott, Loring Tüs authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical articles, many inspired by physics, encompass stable vector bundles, knot and manifold invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions give a sense of Bott¿s approach to mathematics, style, personality, zest for life, and humanity. In one ofthe articles, from the vantage point of his later years, Raoul Bott gives a tour-de-force historical account of one of his greatest achievements, the Bott periodicity theorem. A large number of the articles originally appeared in hard-to-find conference proceedings or journals. This volume makes them all easily accessible. It also features a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.

Geodynamics of the Latin American Pacific Margin presents a collection of 22 studies by a multinational group of investigators whose common interest is to better understand the complex geodynamic processes occurring along the Pacific margin of Latin America and the impact that these processes have on the local populace.

This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.

This book defines and examines the counterpart of Schur functions and Schur analysis in the slice hyperholomorphic setting. It is organized into three parts: the first introduces readers to classical Schur analysis, while the second offers background material on quaternions, slice hyperholomorphic functions, and quaternionic functional analysis.

It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration.Benefits of the 2nd editionRational functions are now covered in a separate chapter.

This book provides a unique frame work for examining acute lung syndromes that arise from hematologic disorders or is defined by a hematologic abnormality as a key feature.

Different communication protocols for MAS evolution, the robustness of tracking of a desired motion by an MAS evolving in n, and the effect of communication delays in an MAS evolving under consensus algorithms or homogeneous maps are also explored.

Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matematica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory;

This text outlines the importance of biopsychosocial factors in improving medical care, and illustrates evidence-based, state-of-the-art interventions for patients with a variety of medical conditions.

The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss recent trends and results in these areas.

The book reviews the main approaches for generation of differentiated cells from various types of stem cells, including embryonic, placental and cord blood stem cells through marrow, adipose tissue and dental pulp.

This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics.

This includes not only non-seismicity geophysical data, suchas GPS observation on surface displacement, InSAR observation of the co-seismicdeformation, ionospheric observations, etc., but also extended seismologicaldata including slow earthquakes, tremor, and VLF earthquakes.

Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method.

It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows.

This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role.