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Author: Jean-Paul Brasselet Publisher: ISBN: Category : Mathematics Languages : en Pages : 370
Book Description
This volume constitutes the proceedings of the third Franco-Japanese symposium on singularities, held in Sapporo in September 2004. It contains not only research papers on the most advanced topics in the field, but also some survey articles which give broad scopes in some areas of the subject. All the articles are carefully refereed for correctness and readability.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Author: Jean-Paul Brasselet Publisher: ISBN: Category : Mathematics Languages : en Pages : 370
Book Description
This volume constitutes the proceedings of the third Franco-Japanese symposium on singularities, held in Sapporo in September 2004. It contains not only research papers on the most advanced topics in the field, but also some survey articles which give broad scopes in some areas of the subject. All the articles are carefully refereed for correctness and readability.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Author: José Luis Cisneros Molina Publisher: Springer Nature ISBN: 3030530612 Category : Mathematics Languages : en Pages : 616
Book Description
This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject. This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Author: José Manuel Aroca Publisher: Springer ISBN: 4431498222 Category : Mathematics Languages : en Pages : 356
Book Description
[From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry. In addition, the book contains an elegant presentation of all the prerequisites of complex analytic geometry, including basic definitions and theorems needed to follow the development of ideas and proofs. Its epilogue presents the use of similar ideas in the resolution of singularities of complex analytic foliations. This text will be particularly useful and interesting for readers of the younger generation who wish to understand one of the most fundamental results in algebraic and analytic geometry and invent possible extensions and applications of the methods created to prove it.
Author: Alexander V. Sergienko Publisher: CRC Press ISBN: 1420026607 Category : Science Languages : en Pages : 250
Book Description
All current methods of secure communication such as public-key cryptography can eventually be broken by faster computing. At the interface of physics and computer science lies a powerful solution for secure communications: quantum cryptography. Because eavesdropping changes the physical nature of the information, users in a quantum exchange can easily detect eavesdroppers. This allows for totally secure random key distribution, a central requirement for use of the one-time pad. Since the one-time pad is theoretically proven to be undecipherable, quantum cryptography is the key to perfect secrecy. Quantum Communications and Cryptography is the first comprehensive review of the past, present, and potential developments in this dynamic field. Leading expert contributors from around the world discuss the scientific foundations, experimental and theoretical developments, and cutting-edge technical and engineering advances in quantum communications and cryptography. The book describes the engineering principles and practical implementations in a real-world metropolitan network as well as physical principles and experimental results of such technologies as entanglement swapping and quantum teleportation. It also offers the first detailed treatment of quantum information processing with continuous variables. Technologies include both free-space and fiber-based communications systems along with the necessary protocols and information processing approaches. Bridging the gap between physics and engineering, Quantum Communications and Cryptography supplies a springboard for further developments and breakthroughs in this rapidly growing area.
Author: Shyuichi Izumiya Publisher: Advanced Studies in Pure Mathe ISBN: 9784931469327 Category : Mathematics Languages : en Pages : 583
Book Description
This volume is the proceedings of the 12th International Research Institute of the Mathematical Society of Japan, held during 2003. The papers cover several important topics in singularity theory, including survey on motivic integrations, Thom polynomials, complex analytic singularity theory, generic differential geometry, etc.
Author: Unesco. International Scientific Committee for the Drafting of a General History of Africa Publisher: Univ of California Press ISBN: 9780520067035 Category : History Languages : en Pages : 1076
Book Description
The hardcover edition of volume 8 was published in 1994. This paperback edition is the eighth and final volume to be published in the UNESCO General History of Africa. Volume 8 examines the period from 1935 to the present, and details the role of African states in the Second World War and the rise of postwar Africa. This is one of the most important books in the entire series, and as such, it is an unabridged paperback.
Author: Jules Verne Publisher: Wesleyan University Press ISBN: 0819574600 Category : Literary Criticism Languages : en Pages : 281
Book Description
First English edition of a classic Verne novel. Jules Verne, celebrated French author of Twenty Thousand Leagues Under the Sea and Around the World in 80 Days, wrote over 60 novels collected in the popular series "Voyages Extraordinaires." A handful of these have never been translated into English, including Invasion of the Sea, written in 1904 when large-scale canal digging was very much a part of the political, economic, and military strategy of the world's imperial powers. Instead of linking two seas, as existing canals (the Suez and the Panama) did, Verne proposed a canal that would create a sea in the heart of the Sahara Desert. The story raises a host of concerns — environmental, cultural, and political. The proposed sea threatens the nomadic way of life of those Islamic tribes living on the site, and they declare war. The ensuing struggle is finally resolved only by a cataclysmic natural event. This Wesleyan edition features notes, appendices and an introduction by Verne scholar Arthur B. Evans, as well as reproductions of the illustrations from the original French edition.
Author: Jean-Paul Brasselet
Author: Jean-Paul Brasselet
Author: José Luis Cisneros Molina
Author: José Manuel Aroca
Author: Vincent Cossart
Author: Alexander V. Sergienko
Author: José M. Aroca
Author: Shyuichi Izumiya
Author: Unesco. International Scientific Committee for the Drafting of a General History of Africa
Author: Jules Verne
Author: Rodrigo Rey Rosa