Author : Paul Melko
Publisher : Macmillan
Page : 338 pages
File Size : 29,25 MB
Release : 2009-04-28
Category : Fiction
ISBN : 076535702X
An exciting new voice in science fiction makes his debut with this novel about what happens after 90 percent of humanity leaves Earth, and the remaining humans recover from this trauma with a vigorous space program.
Author : Paul Melko
Publisher : Macmillan + ORM
Page : 338 pages
File Size : 38,86 MB
Release : 2009-04-28
Category : Fiction
ISBN : 1466826053
The debut novel from a exciting new voice in SF—about what happens after ninety percent of humanity leaves Earth There is an artificial ring around the Earth and it is empty after the Singularity. Either all the millions of inhabitants are dead, or they have been transformed into energy beings beyond human perception. Earth's population was reduced by ninety percent. Human civilization on Earth is now recovering from this trauma and even has a vigorous space program. Apollo Papadopulos is in training to become the captain of the starship Consensus. Apollo is a unique individual in that he/she/it is not an individual at all, but five separate teenagers who form a new entity. Strom, Meda, Quant, Manuel, and Moira are a pod, as these kinds of personalities are called, genetically engineered to work as one and to be able to communicate non-verbally. As a rare quintet, much relies on the successful training of Apollo, but as more accidents occur, the pod members struggle just to survive. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Author : K. Kiyek
Publisher : Springer Science & Business Media
Page : 506 pages
File Size : 39,23 MB
Release : 2012-09-11
Category : Mathematics
ISBN : 1402020295
The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.
Author : Steven Dale Cutkosky
Publisher : American Mathematical Soc.
Page : 198 pages
File Size : 27,90 MB
Release : 2004
Category : Mathematics
ISBN : 0821835556
The notion of singularity is basic to mathematics. In algebraic geometry, the resolution of singularities by simple algebraic mappings is truly a fundamental problem. It has a complete solution in characteristic zero and partial solutions in arbitrary characteristic. The resolution of singularities in characteristic zero is a key result used in many subjects besides algebraic geometry, such as differential equations, dynamical systems, number theory, the theory of $\mathcal{D}$-modules, topology, and mathematical physics. This book is a rigorous, but instructional, look at resolutions. A simplified proof, based on canonical resolutions, is given for characteristic zero. There are several proofs given for resolution of curves and surfaces in characteristic zero and arbitrary characteristic. Besides explaining the tools needed for understanding resolutions, Cutkosky explains the history and ideas, providing valuable insight and intuition for the novice (or expert). There are many examples and exercises throughout the text. The book is suitable for a second course on an exciting topic in algebraic geometry. A core course on resolutions is contained in Chapters 2 through 6. Additional topics are covered in the final chapters. The prerequisite is a course covering the basic notions of schemes and sheaves.
Author : Pat Goeters
Publisher : CRC Press
Page : 354 pages
File Size : 12,8 MB
Release : 2016-04-19
Category : Mathematics
ISBN : 142001076X
About the book In honor of Edgar Enochs and his venerable contributions to a broad range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their latest work and exchange ideas on some of today's foremost research topics. This carefully edited volume presents the refereed papers of the par
Author : János Kollár
Publisher : Cambridge University Press
Page : 381 pages
File Size : 23,24 MB
Release : 2013-02-21
Category : Mathematics
ISBN : 1107035341
An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.
Author : Vladimir Arnold
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 49,45 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 9401133301
One service mathematics has rendered the 'Et moi ...) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : Caroline Grant Melles
Publisher : American Mathematical Soc.
Page : 202 pages
File Size : 20,26 MB
Release : 2000
Category : Mathematics
ISBN : 0821820052
This volume contains the proceedings of an AMS special session held at the 1999 Joint Mathematics Meetings in San Antonio. The participants were an international group of researchers studying singularities from algebraic and analytic viewpoints. The contributed papers contain original results as well as some expository and historical material. This volume is dedicated to Oscar Zariski, on the one hundredth anniversary of his birth. Topics include the role of valuation theory in algebraic geometry with recent applications to the structure of morphisms; algorithmic approaches to resolution of equisingular surface singularities and locally toric varieties; weak subintegral closures of ideals and Rees valuations; constructions of universal weakly subintegral extensions of rings; direct-sum decompositions of finitely generated modules; construction and examples of resolution graphs of surface singularities; Jacobians of meromorphic curves; investigation of spectral numbers of curve singularities using Puiseux pairs; Gröbner basis calculations of Hochschild homology for hypersurfaces with isolated singularities; and the theory of characteristic classes of singular spaces - a brief history with conjectures and open problems.
Author : Robert M. Wald
Publisher : University of Chicago Press
Page : 507 pages
File Size : 31,46 MB
Release : 2010-05-15
Category : Science
ISBN : 0226870375
"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today
Author : Arne Grenzebach
Publisher : Springer
Page : 106 pages
File Size : 14,85 MB
Release : 2016-05-07
Category : Science
ISBN : 3319300660
This book introduces an analytic method to describe the shadow of black holes. As an introduction, it presents a survey of the attempts to observe the shadow of galactic black holes. Based on a detailed discussion of the Plebański–Demiański class of space-times, the book derives analytical formulas for the photon regions and for the boundary curve of the shadow as seen by an observer in the domain of outer communication. It also analyzes how the shadow depends on the motion of the observer. For all cases, the photon regions and shadows are visualized for various values of the parameters. Finally, it considers how the analytical formulas can be used for calculating the horizontal and vertical angular diameters of the shadow, and estimates values for the black holes at the centers of our Galaxy near Sgr A* and of the neighboring galaxy M87.
