Book Description
This text is the first exposition of a new theory which unifies the theories of knots, plane curves, caustics, and wavefronts in differential, symplectic, and contact geometry and topology.
Author : Vladimir Igorevich Arnolʹd
Publisher : American Mathematical Soc.
Page : 76 pages
File Size : 13,7 MB
Release :
Category : Mathematics
ISBN : 9780821882641
This text is the first exposition of a new theory which unifies the theories of knots, plane curves, caustics, and wavefronts in differential, symplectic, and contact geometry and topology.
Author : Eduardo Casas-Alvero
Publisher : Cambridge University Press
Page : 363 pages
File Size : 50,94 MB
Release : 2000-08-31
Category : Mathematics
ISBN : 0521789591
Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
Author : Markus Linckelmann
Publisher : Cambridge University Press
Page : 523 pages
File Size : 10,31 MB
Release : 2018-05-24
Category : Mathematics
ISBN : 1108562582
This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.
Author :
Publisher :
Page : 556 pages
File Size : 17,94 MB
Release : 1921
Category : Electronic journals
ISBN :
Includes section "Recent publications."
Author : Luigi Cocchiarella
Publisher : Springer
Page : 2334 pages
File Size : 21,22 MB
Release : 2018-07-06
Category : Technology & Engineering
ISBN : 3319955888
This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Author : Zoé Maria Chatzidakis
Publisher : Cambridge University Press
Page : 5 pages
File Size : 11,81 MB
Release : 2008
Category : Algebra, Homological
ISBN : 0521709083
The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real analytic geometry and differential algebra. Each volume contains a series of expository essays and research papers around the subject matter of a Newton Institute Semester on Model Theory and Applications to Algebra and Analysis. The articles convey outstanding new research on topics such as model theory and conjectures around Mordell-Lang; arithmetic of differential equations, and Galois theory of difference equations; model theory and complex analytic geometry; o-minimality; model theory and noncommutative geometry; definable groups of finite dimension; Hilbert's tenth problem; and Hrushovski constructions. With contributions from so many leaders in the field, this book will undoubtedly appeal to all mathematicians with an interest in model theory and its applications, from graduate students to senior researchers and from beginners to experts.
Author : Javad Mashreghi
Publisher : Cambridge University Press
Page : 385 pages
File Size : 13,91 MB
Release : 2009-03-19
Category : Mathematics
ISBN : 0521517680
This self-contained text provides an introduction to a wide range of representation theorems and provides a complete description of the representation theorems with direct proofs for both classes of Hardy spaces: Hardy spaces of the open unit disc and Hardy spaces of the upper half plane.
Author : Shreeram Shankar Abhyankar
Publisher : World Scientific
Page : 758 pages
File Size : 30,88 MB
Release : 2006
Category : Mathematics
ISBN : 9812773444
This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author''s fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author''s lectures at Purdue University over the last few years.
Author : William Menasco
Publisher : Elsevier
Page : 502 pages
File Size : 39,91 MB
Release : 2005-08-02
Category : Mathematics
ISBN : 9780080459547
This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
Author : Spencer Bloch
Publisher : American Mathematical Soc.
Page : 521 pages
File Size : 36,14 MB
Release : 1987
Category : Mathematics
ISBN : 082181480X