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Taming The Singularity
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Book Synopsis Taming the Singularity by : Daniel J. Soeder
Download or read book Taming the Singularity written by Daniel J. Soeder and published by Trafford Publishing. This book was released on 2013-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lost any black holes lately? Dr. Geoffrey Finch used the Large Hadron Collider to illegally but successfully create a miniature singularity, but it fell out of the magnetic containment cage and into the Earth when the French power grid suffered a small hiccup. Oops! Now the black hole is orbiting the Earth's center of mass, slowly growing larger. It is predicted to consume the entire planet in approximately two years. Dr. Barney Freeman and U.S. Navy Lieutenant Nicole Shelton are selected to lead a team of the world's top scientists to stop it. They are not even sure how to reach it, let alone stop it, until coming up with an audacious plan to extract the singularity from deep within the Earth. In case they don't succeed, governments around the world frantically embark on a space race to build lifeboats to evacuate at least some of humanity off the doomed planet. Nikki Shelton eventually finds herself face to face with the singularity, and discovers that taming it may take everything she has, and just a bit more.
Book Synopsis Taming the Infinite by : Ian Stewart
Download or read book Taming the Infinite written by Ian Stewart and published by Quercus. This book was released on 2015-04-07 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: From ancient Babylon to the last great unsolved problems, Ian Stewart brings us his definitive history of mathematics. In his famous straightforward style, Professor Stewart explains each major development--from the first number systems to chaos theory--and considers how each affected society and changed everyday life forever. Maintaining a personal touch, he introduces all of the outstanding mathematicians of history, from the key Babylonians, Greeks and Egyptians, via Newton and Descartes, to Fermat, Babbage and Godel, and demystifies math's key concepts without recourse to complicated formulae. Written to provide a captivating historic narrative for the non-mathematician, Taming the Infinite is packed with fascinating nuggets and quirky asides, and contains 100 illustrations and diagrams to illuminate and aid understanding of a subject many dread, but which has made our world what it is today.
Book Synopsis Numerical Calculations in Clifford Algebra by : Andrew Seagar
Download or read book Numerical Calculations in Clifford Algebra written by Andrew Seagar and published by John Wiley & Sons. This book was released on 2023-07-31 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: NUMERICAL CALCULATIONS IN CLIFFORD ALGEBRA An intuitive combination of the theory of Clifford algebra with numerous worked and computed examples and calculations Numerical Calculations in Clifford Algebra: A Practical Guide for Engineers and Scientists is an accessible and practical introduction to Clifford algebra, with comprehensive coverage of the theory and calculations. The book offers many worked and computed examples at a variety of levels of complexity and over a range of different applications making extensive use of diagrams to maintain clarity. The author introduces and documents the Clifford Numerical Suite, developed to overcome the limitations of existing computational packages and to enable the rapid creation and deployment of sophisticated and efficient code. Applications of the suite include Fourier transforms for arrays of any types of Clifford numbers and the solution of linear systems in which the coefficients are Clifford numbers of particular types, including scalars, bicomplex numbers, quaternions, Pauli matrices, and extended electromagnetic fields. Readers will find: A thorough introduction to Clifford algebra, with a combination of theory and practical implementation in a range of engineering problems Comprehensive explorations of a variety of worked and computed examples at various levels of complexity Practical discussions of the conceptual and computational tools for solving common engineering problems Detailed documentation on the deployment and application of the Clifford Numerical Suite Perfect for engineers, researchers, and academics with an interest in Clifford algebra, Numerical Calculations in Clifford Algebra: A Practical Guide for Engineers and Scientists will particularly benefit professionals in the areas of antenna design, digital image processing, theoretical physics, and geometry.
Book Synopsis Discrete or Continuous? by : Amit Hagar
Download or read book Discrete or Continuous? written by Amit Hagar and published by Cambridge University Press. This book was released on 2014-05 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Novel conceptual analysis, fresh historical perspectives, and concrete physical examples illuminate one of the most thought-provoking topics in physics.
Book Synopsis Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics by : Gert-Martin Greuel
Download or read book Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics written by Gert-Martin Greuel and published by Springer. This book was released on 2018-09-18 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.
Book Synopsis Representation Theory of Finite Groups and Finite-Dimensional Algebras by : Michler
Download or read book Representation Theory of Finite Groups and Finite-Dimensional Algebras written by Michler and published by Birkhäuser. This book was released on 2012-12-06 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: From April 1, 1984 until March 31, 1991 the Deutsche Forschungsgemeinschaft has sponsored the project "Representation Theory of Finite Groups and Finite Di mensional Algebras". The proposal for this project was submitted by B. Huppert (Mainz), B. Fischer (Bielefeld), G. Michler (Essen), H. Pahlings (Aachen) and C. M. Ringel (Bielefeld) in order to strengthen the interaction between the different re search areas in representation theory. The Deutsche Forschungsgemeinschaft has given many research positions and fellowships for young algebraists enabling them to do research at their own uni versities or as visitors at well known research institutions in America, Australia, England and France. The whole project benefitted very much from an extensive exchange programme between German and American scientists sponsored by the Deutsche Forschungsgemeinschaft and by the National Science Foundation of the United States. This volume presents lectures given in a final conference and reports by members of the project. It is divided into two parts. The first part contains seven survey articles describing recent advances in different areas of representation theory. These articles do not only concentrate on the work done by the German research groups, but also inform on major developments of the subject at all. The volume omits those topics already treated in book form. In particular, it does not contain a survey on K.
Book Synopsis Maximal Cohen-Macaulay Modules Over Non-Isolated Surface Singularities and Matrix Problems by : Igor Burban
Download or read book Maximal Cohen-Macaulay Modules Over Non-Isolated Surface Singularities and Matrix Problems written by Igor Burban and published by American Mathematical Soc.. This book was released on 2017-07-13 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article the authors develop a new method to deal with maximal Cohen–Macaulay modules over non–isolated surface singularities. In particular, they give a negative answer on an old question of Schreyer about surface singularities with only countably many indecomposable maximal Cohen–Macaulay modules. Next, the authors prove that the degenerate cusp singularities have tame Cohen–Macaulay representation type. The authors' approach is illustrated on the case of k as well as several other rings. This study of maximal Cohen–Macaulay modules over non–isolated singularities leads to a new class of problems of linear algebra, which the authors call representations of decorated bunches of chains. They prove that these matrix problems have tame representation type and describe the underlying canonical forms.
Book Synopsis Tame Geometry with Application in Smooth Analysis by : Yosef Yomdin
Download or read book Tame Geometry with Application in Smooth Analysis written by Yosef Yomdin and published by Springer. This book was released on 2004-02-10 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Morse-Sard theorem is a rather subtle result and the interplay between the high-order analytic structure of the mappings involved and their geometry rarely becomes apparent. The main reason is that the classical Morse-Sard theorem is basically qualitative. This volume gives a proof and also an "explanation" of the quantitative Morse-Sard theorem and related results, beginning with the study of polynomial (or tame) mappings. The quantitative questions, answered by a combination of the methods of real semialgebraic and tame geometry and integral geometry, turn out to be nontrivial and highly productive. The important advantage of this approach is that it allows the separation of the role of high differentiability and that of algebraic geometry in a smooth setting: all the geometrically relevant phenomena appear already for polynomial mappings. The geometric properties obtained are "stable with respect to approximation", and can be imposed on smooth functions via polynomial approximation.
Book Synopsis Trends in Singularities by : Anatoly Libgober
Download or read book Trends in Singularities written by Anatoly Libgober and published by Birkhäuser. This book was released on 2012-12-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection of papers in this volume represents recent advances in the under standing of the geometry and topology of singularities. The book covers a broad range of topics which are in the focus of contemporary singularity theory. Its idea emerged during two Singularities workshops held at the University of Lille (USTL) in 1999 and 2000. Due to the breadth of singularity theory, a single volume can hardly give the complete picture of today's progress. Nevertheless, this collection of papers provides a good snapshot of what is the state of affairs in the field, at the turn of the century. Several papers deal with global aspects of singularity theory. Classification of fam ilies of plane curves with prescribed singularities were among the first problems in algebraic geometry. Classification of plane cubics was known to Newton and classification of quartics was achieved by Klein at the end of the 19th century. The problem of classification of curves of higher degrees was addressed in numerous works after that. In the paper by Artal, Carmona and Cogolludo, the authors de scribe irreducible sextic curves having a singular point of type An (n > 15) and a large (Le. , :::: 18) sum of Milnor numbers of other singularities. They have discov ered many interesting properties of these families. In particular they have found new examples of so-called Zariski pairs, i. e.
Book Synopsis Singularities in Geometry and Topology by :
Download or read book Singularities in Geometry and Topology written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Solution of a Non-domestic Tame Classification Problem from Integral Representation Theory of Finite Groups ([Lambda] by : Ernst Dieterich
Download or read book Solution of a Non-domestic Tame Classification Problem from Integral Representation Theory of Finite Groups ([Lambda] written by Ernst Dieterich and published by American Mathematical Soc.. This book was released on 1991 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suppose R is a complete discrete valuation ring with exponential valuation v, G is a finite p-group. The representation type (finite, tame, or wild) of the group ring *L = RG had been determined in all cases but one; the case in which G = C3 and v(3)=4. The present book closes this gap. The author presents an explicit classification of all indecomposable lattices, as well as a description of the Auslander-Reiten quiver of *L, demonstrating that this is the only integral group ring whose representation type is non-domestic tame of finite growth. This book acquaints readers with various (by now classical) tame module categories, with techniques of matrix reduction, and with the interaction of basefree (category-theoretic) and base-dependent (matrix-theoretic) viewpoints and their respective relations to the combinatorial intuition provided by Auslander-Reiten quivers.
Book Synopsis Singularities in Geometry, Topology, Foliations and Dynamics by : José Luis Cisneros-Molina
Download or read book Singularities in Geometry, Topology, Foliations and Dynamics written by José Luis Cisneros-Molina and published by Birkhäuser. This book was released on 2017-02-13 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings. Singularity theory is at the crossroad of various branches of mathematics and science in general. In recent years there have been remarkable developments, both in the theory itself and in its relations with other areas. The contributions in this volume originate from the “Workshop on Singularities in Geometry, Topology, Foliations and Dynamics”, held in Merida, Mexico, in December 2014, in celebration of José Seade’s 60th Birthday. It is intended for researchers and graduate students interested in singularity theory and its impact on other fields.
Book Synopsis Two-Dimensional Tame and Maximal Orders of Finite Representation Type by : Idun Reiten
Download or read book Two-Dimensional Tame and Maximal Orders of Finite Representation Type written by Idun Reiten and published by American Mathematical Soc.. This book was released on 1989 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rings, Hopf Algebras, and Brauer Groups by : Stefaan Caenepeel
Download or read book Rings, Hopf Algebras, and Brauer Groups written by Stefaan Caenepeel and published by CRC Press. This book was released on 2020-09-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "
Book Synopsis Interactions Between Ring Theory and Representations of Algebras by : Freddy Van Oystaeyen
Download or read book Interactions Between Ring Theory and Representations of Algebras written by Freddy Van Oystaeyen and published by CRC Press. This book was released on 2000-04-05 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on a set of lectures and invited papers presented at a meeting in Murcia, Spain, organized by the European Commission's Training and Mobility of Researchers (TMR) Programme. It contains information on the structure of representation theory of groups and algebras and on general ring theoretic methods related to the theory.
Book Synopsis Singularities, Representation of Algebras, and Vector Bundles by : Gert-Martin Greuel
Download or read book Singularities, Representation of Algebras, and Vector Bundles written by Gert-Martin Greuel and published by Springer. This book was released on 2006-11-15 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully exploited. These proceedings document recent developments in the area. The questions and methods of representation theory have applications to singularities and to vector bundles. Representation theory itself, which had primarily developed its methods for Artinian algebras, starts to investigate algebras of higher dimension partly because of these applications. Future research in representation theory may be spurred by the classification of singularities and the highly developed theory of moduli for vector bundles. The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.
Book Synopsis Rigid Local Systems. (AM-139), Volume 139 by : Nicholas M. Katz
Download or read book Rigid Local Systems. (AM-139), Volume 139 written by Nicholas M. Katz and published by Princeton University Press. This book was released on 2016-03-02 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise. His first application was to study the classical Gauss hypergeometric function, which he did by studying rank-two local systems on P1- {0,1,infinity}. His investigation was successful, largely because any such (irreducible) local system is rigid in the sense that it is globally determined as soon as one knows separately each of its local monodromies. It became clear that luck played a role in Riemann's success: most local systems are not rigid. Yet many classical functions are solutions of differential equations whose local systems are rigid, including both of the standard nth order generalizations of the hypergeometric function, n F n-1's, and the Pochhammer hypergeometric functions. This book is devoted to constructing all (irreducible) rigid local systems on P1-{a finite set of points} and recognizing which collections of independently given local monodromies arise as the local monodromies of irreducible rigid local systems. Although the problems addressed here go back to Riemann, and seem to be problems in complex analysis, their solutions depend essentially on a great deal of very recent arithmetic algebraic geometry, including Grothendieck's etale cohomology theory, Deligne's proof of his far-reaching generalization of the original Weil Conjectures, the theory of perverse sheaves, and Laumon's work on the l-adic Fourier Transform.
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