Interaction Geometry

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Interaction Geometry by : Rolfe A. Leary

Download or read book Interaction Geometry written by Rolfe A. Leary and published by . This book was released on 1976 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry of the Fundamental Interactions

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Publisher : Springer Science & Business Media
ISBN 13 : 1441982736
Total Pages : 182 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Geometry of the Fundamental Interactions by : M. D. Maia

Download or read book Geometry of the Fundamental Interactions written by M. D. Maia and published by Springer Science & Business Media. This book was released on 2011-06-14 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Yang-Mills theory of gauge interactions is a prime example of interdisciplinary mathematics and advanced physics. Its historical development is a fascinating window into the ongoing struggle of mankind to understand nature. The discovery of gauge fields and their properties is the most formidable landmark of modern physics. The expression of the gauge field strength as the curvature associated to a given connection, places quantum field theory in the same geometrical footing as the gravitational field of general relativity which is naturally written in geometrical terms. The understanding of such geometrical property may help one day to write a unified field theory starting from symmetry principles. Of course, there are remarkable differences between the standard gauge fields and the gravitational field, which must be understood by mathematicians and physicists before attempting such unification. In particular, it is important to understand why gravitation is not a standard gauge field. This book presents an account of the geometrical properties of gauge field theory, while trying to keep the equilibrium between mathematics and physics. At the end we will introduce a similar approach to the gravitational field.

The Geometry of Ecological Interactions

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Publisher : Cambridge University Press
ISBN 13 : 0521642949
Total Pages : 583 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis The Geometry of Ecological Interactions by : Ulf Dieckmann

Download or read book The Geometry of Ecological Interactions written by Ulf Dieckmann and published by Cambridge University Press. This book was released on 2000-05-04 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.

The Interaction of Analysis and Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821840606
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Interaction of Analysis and Geometry by : Victor I. Burenkov

Download or read book The Interaction of Analysis and Geometry written by Victor I. Burenkov and published by American Mathematical Soc.. This book was released on 2007 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004), this title includes topics such as geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion, and nonlinear potential theory."

Geometries in Interaction

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Publisher : Birkhäuser
ISBN 13 : 3034891024
Total Pages : 438 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Geometries in Interaction by : Y. Eliashberg

Download or read book Geometries in Interaction written by Y. Eliashberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decades of the 20th century tremendous progress has been achieved in geometry. The discovery of deep interrelations between geometry and other fields including algebra, analysis and topology has pushed it into the mainstream of modern mathematics. This Special Issue of Geometric And Functional Analysis (GAFA) in honour of Mikhail Gromov contains 14 papers which give a wide panorama of recent fundamental developments in modern geometry and its related subjects. The book is a collection of important results and an enduring source of new ideas for researchers and students in a broad spectrum of directions related to all aspects of geometry and its applications to functional analysis, PDE, analytic number theory and physics. This is a reprint from GAFA, Vol. 5 (1995), No. 2., enlarged by a short biography of Mikhail Gromov and a list of his publications.

Topology, Geometry, and Gauge Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 1475727429
Total Pages : 410 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Topology, Geometry, and Gauge Fields by : Gregory L. Naber

Download or read book Topology, Geometry, and Gauge Fields written by Gregory L. Naber and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. The reader is asked to join the author on some vague notion of what an electromagnetic field might be, to be willing to accept a few of the more elementary pronouncements of quantum mechanics, and to have a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. In return, the book offers an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.

Algebra, Geometry and Their Interactions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821840940
Total Pages : 282 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Algebra, Geometry and Their Interactions by : Alberto Corso

Download or read book Algebra, Geometry and Their Interactions written by Alberto Corso and published by American Mathematical Soc.. This book was released on 2007 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume's papers present work at the cutting edge of current research in algebraic geometry, commutative algebra, numerical analysis, and other related fields, with an emphasis on the breadth of these areas and the beneficial results obtained by the interactions between these fields. This collection of two survey articles and sixteen refereed research papers, written by experts in these fields, gives the reader a greater sense of some of the directions in which this research is moving, as well as a better idea of how these fields interact with each other and with other applied areas. The topics include blowup algebras, linkage theory, Hilbert functions, divisors, vector bundles, determinantal varieties, (square-free) monomial ideals, multiplicities and cohomological degrees, and computer vision.

Geometries in Interaction

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764352608
Total Pages : 444 pages
Book Rating : 4.3/5 (526 download)

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Book Synopsis Geometries in Interaction by : Y. Eliashberg

Download or read book Geometries in Interaction written by Y. Eliashberg and published by Springer Science & Business Media. This book was released on 1995-08-29 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 14 papers (originally published in Geometric and Functional Analysis, v.5, no.2, 1995) which give a broad overview of recent fundamental developments in modern geometry and related subjects. Among the topics are aspects of long-time behavior of solutions of nonlinear Hamiltonian evolution equations; Lagrangian intersections in contact geometry; and Selberg's eigenvalue conjecture. Includes an exceedingly brief biography (3pp.) and a list of Gromov's (b.1943) publications. No index. Annotation copyright by Book News, Inc., Portland, OR

New Structures for Physics

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Publisher : Springer
ISBN 13 : 3642128211
Total Pages : 1034 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis New Structures for Physics by : Bob Coecke

Download or read book New Structures for Physics written by Bob Coecke and published by Springer. This book was released on 2011-01-15 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

Interactions on Digital Tablets in the Context of 3D Geometry Learning

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Publisher : John Wiley & Sons
ISBN 13 : 1119329973
Total Pages : 182 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Interactions on Digital Tablets in the Context of 3D Geometry Learning by : David Bertolo

Download or read book Interactions on Digital Tablets in the Context of 3D Geometry Learning written by David Bertolo and published by John Wiley & Sons. This book was released on 2016-07-14 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few years, multi-touch mobile devices have become increasingly common. However, very few applications in the context of 3D geometry learning can be found in app stores. Manipulating a 3D scene with a 2D device is the main difficulty of such applications. Throughout this book, the author focuses on allowing young students to manipulate, observe and modify 3D scenes using new technologies brought about by digital tablets. Through a user-centered approach, the author proposes a grammar of interactions adapted to young learners, and then evaluates acceptability, ease of use and ease of learning of the interactions proposed. Finally, the author studies in situ the pedagogic benefits of the use of tablets with an app based on the suggested grammar. The results show that students are able to manipulate, observe and modify 3D scenes using an adapted set of interactions. Moreover, in the context of 3D geometry learning, a significant contribution has been observed in two classes when students use such an application. The approach here focuses on interactions with digital tablets to increase learning rather than on technology. First, defining which interactions allow pupils to realize tasks needed in the learning process, then, evaluating the impact of these interactions on the learning process. This is the first time that both interactions and the learning process have been taken into account at the same time.

Singularities and Their Interaction with Geometry and Low Dimensional Topology

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Publisher : Springer Nature
ISBN 13 : 3030619583
Total Pages : 332 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Singularities and Their Interaction with Geometry and Low Dimensional Topology by : Javier Fernández de Bobadilla

Download or read book Singularities and Their Interaction with Geometry and Low Dimensional Topology written by Javier Fernández de Bobadilla and published by Springer Nature. This book was released on 2021-05-27 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields. The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.

ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics

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Publisher : Springer Nature
ISBN 13 : 3031135881
Total Pages : 1080 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics by : Liang-Yee Cheng

Download or read book ICGG 2022 - Proceedings of the 20th International Conference on Geometry and Graphics written by Liang-Yee Cheng and published by Springer Nature. This book was released on 2022-08-12 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent achievements on the ever-expanding field of Geometry and Graphics on both analogical and digital fronts, from theoretical investigations to a broad range of applications, new teaching methodologies, and historical aspects. It is from 20th International Conference on Geometry and Graphics (ICGG2022), a series of conference that started in 1978 and promoted by International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching innovations in the multidisciplinary field. The contents of the book are organized in: Theoretical Geometry and Graphics; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education; Geometry and Graphics in History, and are intent for the academics, researchers, and professionals in architecture, engineering, industrial design, mathematics, and arts.

Connections Between Algebra, Combinatorics, and Geometry

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Publisher : Springer
ISBN 13 : 1493906267
Total Pages : 328 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Connections Between Algebra, Combinatorics, and Geometry by : Susan M. Cooper

Download or read book Connections Between Algebra, Combinatorics, and Geometry written by Susan M. Cooper and published by Springer. This book was released on 2014-05-16 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2–3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection.

Geometry and Physics

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Publisher : CRC Press
ISBN 13 : 9780824797911
Total Pages : 772 pages
Book Rating : 4.7/5 (979 download)

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Book Synopsis Geometry and Physics by : H. Pedersen

Download or read book Geometry and Physics written by H. Pedersen and published by CRC Press. This book was released on 1996-10-11 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."

A Course in the Geometry of N Dimensions

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Publisher : Courier Corporation
ISBN 13 : 0486439275
Total Pages : 82 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Course in the Geometry of N Dimensions by : Maurice G. Kendall

Download or read book A Course in the Geometry of N Dimensions written by Maurice G. Kendall and published by Courier Corporation. This book was released on 2004-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, etc. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart's distribution, more. 1961 edition.

The Arithmetic and Geometry of Algebraic Cycles

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792361947
Total Pages : 652 pages
Book Rating : 4.3/5 (619 download)

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Book Synopsis The Arithmetic and Geometry of Algebraic Cycles by : B. Brent Gordon

Download or read book The Arithmetic and Geometry of Algebraic Cycles written by B. Brent Gordon and published by Springer Science & Business Media. This book was released on 2000-02-29 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of algebraic cycles has thrived through its interaction with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to such developments as a description of Chow groups in terms of algebraic K-theory, the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge and Tate, and the conjectures of Bloch and Beilinson. The immense recent progress in algebraic cycles, based on so many interactions with so many other areas of mathematics, has contributed to a considerable degree of inaccessibility, especially for graduate students. Even specialists in one approach to algebraic cycles may not understand other approaches well. This book offers students and specialists alike a broad perspective of algebraic cycles, presented from several viewpoints, including arithmetic, transcendental, topological, motives and K-theory methods. Topics include a discussion of the arithmetic Abel-Jacobi mapping, higher Abel-Jacobi regulator maps, polylogarithms and L-series, candidate Bloch-Beilinson filtrations, applications of Chern-Simons invariants to algebraic cycles via the study of algebraic vector bundles with algebraic connection, motivic cohomology, Chow groups of singular varieties, and recent progress on the Hodge and Tate conjectures for Abelian varieties.

Differential Geometry and Physics

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Publisher : World Scientific
ISBN 13 : 9812772529
Total Pages : 542 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Differential Geometry and Physics by : Mo-Lin Ge

Download or read book Differential Geometry and Physics written by Mo-Lin Ge and published by World Scientific. This book was released on 2006 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory. Sample Chapter(s). Chapter 1: Yangian and Applications (787 KB). Contents: Yangian and Applications (C-M Bai et al.); The Hypoelliptic Laplacian and the ChernOCoGaussOCoBonnet (J-M Bismut); S S Chern and ChernOCoSimos Terms (R Jackiw); Localization and Conjectures from String Duality (K F Liu); Topologization of Electron Liquids with ChernOCoSimons Theory and Quantum Computation (Z H Wang); Topology and Quantum Information (L H Kauffman); Toeplitz Quantization and Symplectic Reduction (X N Ma & W P Zhang); Murphy Operators in Knot Theory (H R Morton); Separation Between Spin and Charge in SU(2) YangOCoMills Theory (A J Niemi); LAwner Equations and Dispersionless Hierarchies (K Takasaki & T Takebe); and other papers. Readership: Graduate students and professional researchers in geometry and physics."