By A. J. Berrick, Man Chun Leung, Xingwang Xu
This ebook provides nineteen refereed articles written through individuals within the Singapore foreign Symposium in Topology and Geometry (SISTAG), held July 2-6, 2001, on the nationwide college of Singapore. instead of being an easy photograph of the assembly within the type of a lawsuits, it serves as a commemorative quantity such as papers chosen to teach the variety and intensity of the math provided at SISTAG. The ebook comprises articles on low-dimensional topology, algebraic, differential and symplectic geometry, and algebraic topology. whereas papers mirror the point of interest of the convention, many files written after SISTAG and integrated during this quantity characterize the newest pondering within the fields of topology and geometry.While illustration from Pacific Rim nations is robust, the checklist of participants is foreign in scope and comprises many famous specialists. This quantity is of curiosity to graduate scholars and mathematicians operating within the fields of algebraic, differential and symplectic geometry, algebraic, geometric and low-dimensional topology, and mathematical physics.
By Hartmut Ehrig (auth.), H. Ehrig, H. Herrlich, H. -J. Kreowski, G. Preuß (eds.)
This quantity includes chosen papers of the foreign Workshop on "Categorical tools in desktop technological know-how - with points from Topology" and of the "6th overseas facts sort Workshop" held in August/September 1988 in Berlin. The 23 papers of this quantity are grouped into 3 components: Part 1 contains papers on express foundations and primary recommendations from type concept in computing device technology. Part 2 offers functions of specific the right way to algebraic specification languages and strategies, information varieties, info bases, programming, and method necessities. Part 3 contains papers on categorial features from topology which ordinarily be aware of distinctive adjoint events like cartesian closeness, Galois connections, reflections, and coreflections that are of transforming into curiosity in express topology and machine science.
By Patricia Juelg
|Brief textual content, to be used as a complement, or in a brief path. No proofs, minimum concept, few purposes. simply the basics.|
By I. M. Yaglom, Abe Shenitzer
This ebook is the sequel to Geometric Transfrmations I and II, volumes eight and 21 during this sequence, yet may be studied independently. it's dedicated to the therapy of affine and projective changes of the aircraft; those variations contain the congruences and similarities investigated within the past volumes. the straightforward textual content and the various difficulties are designed more often than not to teach how the priniciples of affine and projective geometry can be used to provide particularly uncomplicated suggestions of enormous sessions of difficulties in common geometry, together with a few directly aspect building difficulties. within the complement, the reader is brought to hyperbolic geometry. The latter a part of the booklet comprises exact suggestions of the issues posed during the textual content.
By John W. Morgan
The hot advent of the Seiberg-Witten invariants of soft four-manifolds has revolutionized the research of these manifolds. The invariants are gauge-theoretic in nature and are shut cousins of the much-studied SU(2)-invariants outlined over fifteen years in the past by way of Donaldson. On a realistic point, the hot invariants have proved to be extra strong and feature ended in an enormous generalization of prior effects. This publication is an creation to the Seiberg-Witten invariants.The paintings starts with a evaluation of the classical fabric on Spin c buildings and their linked Dirac operators. subsequent comes a dialogue of the Seiberg-Witten equations, that is set within the context of nonlinear elliptic operators on a suitable limitless dimensional area of configurations. it truly is established that the gap of recommendations to those equations, known as the Seiberg-Witten moduli house, is finite dimensional, and its size is then computed. unlike the SU(2)-case, the Seiberg-Witten moduli areas are proven to be compact. The Seiberg-Witten invariant is then primarily the homology type within the house of configurations represented via the Seiberg-Witten moduli house. The final bankruptcy provides a style for the functions of those new invariants by way of computing the invariants for many Kahler surfaces after which deriving a few easy toological outcomes for those surfaces.
By Rainer Oloff
Die Relativitätstheorie ist in ihren Kernaussagen nicht mehr umstritten, gilt aber noch immer als kompliziert und nur schwer verstehbar. Das liegt unter anderem an dem aufwendigen mathematischen Apparat, der schon zur Formulierung ihrer Ergebnisse und erst recht zum Nachvollziehen der Argumentation notwendig ist. In diesem Lehrbuch werden die mathematischen Grundlagen der Relativitätstheorie systematisch entwickelt, das ist die Differentialgeometrie auf Mannigfaltigkeiten einschließlich Differentiation und Integration. Die Spezielle Relativitätstheorie wird als Tensorrechnung auf den Tangentialräumen dargestellt. Die zentrale Aussage der Allgemeinen Relativitätstheorie ist die Einstein'sche Feldgleichung, die die Krümmung zur Materie in Beziehung setzt. Ausführlich werden die relativistischen Effekte im Sonnensystem einschließlich der Schwarzen Löcher behandelt. Dieser textual content richtet sich an Studierende der Physik und der Mathematik und setzt nur Grundkenntnisse aus der klassischen Differential- und Integralrechnung und der Linearen Algebra voraus. Für die neue Auflage wurde das Buch durchgesehen und alle bekannt gewordenen Fehler korrigiert.
By M. Biliotti, A. Cossu, G. Korchmaros, A. Barlotti, G. Tallini
Curiosity in combinatorial thoughts has been vastly more suitable via the purposes they might supply in reference to computing device expertise. The 38 papers during this quantity survey the cutting-edge and record on fresh ends up in Combinatorial Geometries and their applications.
Contributors: V. Abatangelo, L. Beneteau, W. Benz, A. Beutelspacher, A. Bichara, M. Biliotti, P. Biondi, F. Bonetti, R. Capodaglio di Cocco, P.V. Ceccherini, L. Cerlienco, N. Civolani, M. de Soete, M. Deza, F. Eugeni, G. Faina, P. Filip, S. Fiorini, J.C. Fisher, M. Gionfriddo, W. Heise, A. Herzer, M. Hille, J.W.P. Hirschfield, T. Ihringer, G. Korchmaros, F. Kramer, H. Kramer, P. Lancellotti, B. Larato, D. Lenzi, A. Lizzio, G. Lo Faro, N.A. Malara, M.C. Marino, N. Melone, G. Menichetti, okay. Metsch, S. Milici, G. Nicoletti, C. Pellegrino, G. Pica, F. Piras, T. Pisanski, G.-C. Rota, A. Sappa, D. Senato, G. Tallini, J.A. Thas, N. Venanzangeli, A.M. Venezia, A.C.S. Ventre, H. Wefelscheid, B.J. Wilson, N. Zagaglia Salvi, H. Zeitler.
By Novaga M., Valdinoci E.