Category: Topology

By A. Marden

We are living in a three-d area; what kind of house is it? will we construct it from basic geometric gadgets? The solutions to such questions were present in the final 30 years, and Outer Circles describes the fundamental arithmetic wanted for these solutions in addition to making transparent the grand layout of the topic of hyperbolic manifolds as a complete. the aim of Outer Circles is to supply an account of the modern concept, available to these with minimum formal history in topology, hyperbolic geometry, and intricate research. The textual content explains what's wanted, and offers the services to take advantage of the first instruments to reach at an intensive knowing of the large photograph. This photo is extra crammed out by way of quite a few routines and expositions on the ends of the chapters and is complemented via a great quantity of top quality illustrations. there's an intensive bibliography for additional learn.

By Victor Guillemin

Multiplicity diagrams may be seen as schemes for describing the phenomenon of "symmetry breaking" in quantum physics. the topic of this publication is the multiplicity diagrams linked to the classical teams U(n), O(n), and so on. It offers such issues as asymptotic distributions of multiplicities, hierarchical styles in multiplicity diagrams, lacunae, and the multiplicity diagrams of the rank 2 and rank three teams. The authors take a singular method, utilizing the recommendations of symplectic geometry. The e-book develops intimately a few topics which have been touched on within the hugely winning Symplectic innovations in Physics by means of V. Guillemin and S. Sternberg (CUP, 1984) , together with the geometry of the instant map, the Duistermaat-Heckman theorem, the interaction among coadjoint orbits and illustration idea, and quantization. scholars and researchers in geometry and mathematical physics will locate this booklet interesting.

By Leszek Gasinski, Nikolaos S. Papageorgiou

Nonlinear research is a extensive, interdisciplinary box characterised via a amazing mix of research, topology, and functions. Its innovations and strategies give you the instruments for constructing extra reasonable and actual versions for quite a few phenomena encountered in fields starting from engineering and chemistry to economics and biology.This quantity makes a speciality of themes in nonlinear research pertinent to the idea of boundary price difficulties and their program in components similar to keep watch over conception and the calculus of diversifications. It enhances the various different books on nonlinear research by way of addressing subject matters formerly mentioned totally basically in scattered learn papers. those contain fresh effects on serious aspect conception, nonlinear differential operators, and comparable regularity and comparability principles.The wealthy number of subject matters, either theoretical and utilized, make Nonlinear research priceless to an individual, even if graduate scholar or researcher, operating in research or its functions in optimum regulate, theoretical mechanics, or dynamical structures. An appendix includes all the history fabric wanted, and a close bibliography kinds a advisor for extra examine.

By James Eells

Those unique study papers, written in the course of a interval of over 1 / 4 of a century, have major ambitions. the 1st is to put the rules of the idea of harmonic maps among Riemannian Manifolds, and the second one to set up numerous lifestyles and regularity theorems in addition to the categorical structures of such maps

By Ernesto Girondo

Few books almost about Riemann surfaces hide the rather sleek conception of dessins d'enfants (children's drawings), which used to be introduced via Grothendieck within the Eighties and is now an lively box of analysis. during this e-book, the authors start with an straightforward account of the speculation of compact Riemann surfaces seen as algebraic curves and as quotients of the hyperbolic aircraft by way of the motion of Fuchsian teams of finite sort. They then use this data to introduce the reader to the idea of dessins d'enfants and its reference to algebraic curves outlined over quantity fields. loads of labored examples are supplied to help realizing, so no event past the undergraduate point is needed. Readers with none prior wisdom of the sector of dessins d'enfants are taken speedily to the leading edge of present learn.

By S, Steenrod, N Eilenberg

By S. M. Srivastava (auth.)

By Walter D. Neumann, B. N. Apanasov, B. N. Apanasov, Alan W. Reid, Ohio State University International Mathematical Research Institute

By S. T Hu

By Paul A. Smith, Samuel Eilenberg