Category: Geometry And Topology

By Cotsakis S., Gibbons G.W. (eds.)

This e-book is written in a pedagogical kind intelligible for graduate scholars. It experiences contemporary growth in black-hole and wormhole idea and in mathematical cosmology in the framework of Einstein's box equations and past, together with quantum results. This selection of essays, written by means of best scientists of lengthy status recognition, may still turn into an crucial resource for destiny learn.

By Alexandre Grothendieck, Jean Alexandre Dieudonne

By Belyaev O.

By Frédéric Pham

Los angeles première partie de ce livre a pour yet de consolider les acquis essentiels du calcul différentiel de licence. Elle a été profondément remaniée pour cette deuxième édition. los angeles deuxième partie présente l. a. théorie intrinsèque des variétés (avec comme objectif essentiel los angeles compréhension des notions de fibré tangent et fibré general) et enchaîne sur les premiers rudiments de los angeles topologie algébrique (homotopie et revêtements). Elle se termine par une ébauche de théorie de l'intégration sur les variétés, où l'on fait connaissance avec l'homologie et los angeles cohomologie. Parallèlement aux chapitres proprement dits, qui cherchent à présenter de façon cohérente les suggestions formant l'ossature de los angeles théorie, les «études» insérées entre les chapitres ont pour yet de motnrer ces strategies en motion dans un contexte. Allant de los angeles géométrie algébrique élémentaire à los angeles mécanique, ces contextes ont été choisis de façon à donner une snapshot huge et ouverte de ce qu'est los angeles géométrie.

By W. R. Knorr

By W.N. Bailey

By M. Biliotti, A. Cossu, G. Korchmaros, A. Barlotti, G. Tallini

Curiosity in combinatorial options has been enormously more suitable via the functions they could supply in reference to desktop know-how. The 38 papers during this quantity survey the cutting-edge and file on contemporary leads to 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, ok. 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 Chaohao Gu, Hesheng Hu, Ta-Tsien Li

The overseas convention on smooth arithmetic and the overseas Symposium on Differential Geometry, held in honour of Professor Su Buchin at the centenary of his start, have been held in September 2001 at Fudan college, Shanghai, China. round a hundred mathematicians from China, France, Japan, Singapore and the us participated. This quantity of court cases covers a vast spectrum of complex subject matters in arithmetic, in particular in differential geometry, resembling a few difficulties of universal curiosity in harmonic maps, submanifolds, the Yang-Mills box and the geometric idea of solitons.

By L. Pontrjagin

By Stephan Heuel (auth.)

Algebraic projective geometry, with its multilinear family and its embedding into Grassmann-Cayley algebra, has turn into the fundamental illustration of a number of view geometry, leading to deep insights into the algebraic constitution of geometric kinfolk, in addition to in effective and flexible algorithms for computing device imaginative and prescient and photo research.

This publication presents a coherent integration of algebraic projective geometry and spatial reasoning less than uncertainty with purposes in laptop imaginative and prescient. past systematically introducing the theoretical foundations from geometry and information and transparent principles for appearing geometric reasoning lower than uncertainty, the writer offers a suite of precise algorithms.

The ebook addresses researchers and complicated scholars drawn to algebraic projective geometry for snapshot research, in statistical illustration of gadgets and changes, or in standard instruments for trying out and estimating in the context of geometric multiple-view research.