Classical mechanics is a chief example of the scientific method organizing a "e;complex"e;collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling.
This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.
This book gives a new and direct approach into the theories of special functions with emphasis on spherical symmetry in Euclidean spaces of ar- bitrary dimensions.
Ein gelungenes Beispiel für eine lebendige Zusammenarbeit mit unterschiedlichen Disziplinen wird mit der Restauration dieses wichtigen Kulturguts veranschaulicht: Das Heidelberger Exemplar eines Vaugondy Globus von 1751 hat eine wechselvolle Geschichte und wurde in jüngster Zeit mit hochmodernen Methoden aufwendig restauriert.
This handsome book is aimed towards those with an intermediate skill level, but the origami basics included at the start of the book make it accessible to beginners.
The last half century has seen the development of many biological or physical t- ories that have explicitly or implicitly involved medial descriptions of objects and other spatial entities in our world.
To our wives, Masha and Marian Interest in the so-called completely integrable systems with infinite num- ber of degrees of freedom was aroused immediately after publication of the famous series of papers by Gardner, Greene, Kruskal, Miura, and Zabusky [75, 77, 96, 18, 66, 19J (see also [76]) on striking properties of the Korteweg-de Vries (KdV) equation.
This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.
Das vorliegende Buch gibt eine Einführung in die klassische Integralgeometrie und ihre praktischen Anwendungen in der Stereologie und der Bildrekonstruktion.
Il volume è una presentazione autocontenuta (ma rigorosa) della teoria dei codici a blocchi tradizionale, con rimandi ad argomenti correnti di ricerca; sono presenti numerosi esercizi svolti, anche con l'ausilio del calcolatore.
This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory.
Convexity of sets in linear spaces, and concavity and convexity of functions, lie at the root of beautiful theoretical results that are at the same time extremely useful in the analysis and solution of optimization problems, including problems of either single objective or multiple objectives.
This present volume is the Proceedings of the 14th International Conference on Near- rings and Nearfields held in Hamburg at the Universitiit der Bundeswehr Hamburg, from July 30 to August 06, 1995.
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics.
