Interaction Geometry PDF Download

Author: Rolfe A. Leary
Publisher:
ISBN:
Category : Ecology
Languages : en
Pages : 12

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Author: Javier Fernández de Bobadilla
Publisher: Springer Nature
ISBN: 3030619583
Category : Mathematics
Languages : en
Pages : 332

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Book Description
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.

Author: M. D. Maia
Publisher: Springer Science & Business Media
ISBN: 1441982736
Category : Science
Languages : en
Pages : 182

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Book Description
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.

Author: Ulf Dieckmann
Publisher: Cambridge University Press
ISBN: 0521642949
Category : Mathematics
Languages : en
Pages : 583

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Spatial ecology, space.

Author: Geometry and Their Interactions International Conference on Midwest Algebra
Publisher: American Mathematical Soc.
ISBN: 0821840940
Category : Mathematics
Languages : en
Pages : 270

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Book Description
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.

Author: David Bertolo
Publisher: John Wiley & Sons
ISBN: 1119329973
Category : Computers
Languages : en
Pages : 224

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Book Description
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.

Author: H. Pedersen
Publisher: CRC Press
ISBN: 9780824797911
Category : Mathematics
Languages : en
Pages : 772

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Book Description
"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."

Author: Joseph J. Jean-Claude
Publisher: Quantometrix
ISBN: 1311819878
Category : Science
Languages : en
Pages : 158

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Book Description
Quanto-Geometric Theory is a new modern-physics theoretical model aimed at the interpretation of physical matter beyond Quantum Mechanics and General Relativity. In a surprising turn, it affords a natural and simple path to the long-sought effective unification of Quantum Mechanics and General Relativity. In doing so, the Theory stunningly derives the fundamental Quantum parameters and gravity from one single mathematical formalism. Furthermore Quanto-Geometry stands for the first and only Theory able to deliver on a long-time elusive goal of modern physics: the computation from first principles of the host of known fundamental physical physical constants, both dimension-less and dimensional. By eliciting the conceptual and philosophical implications of the mathematics governing the hierarchy of universal physical constants, Quanto-Geometric Theory proposes a novel vision and true insight into the essential structure of matter and organization of life. Its impact therefore promises to outgrow the world of academic physics to positively alter human consciousness and, consequently, our relationship with our living medium otherwise called matter. This book addresses academicians as well as the avid amateur physicists who will all find refreshing enjoyment in witnessing the unraveling of a handful of physics conundrums of all time in a clear, simple but effective and unequivocal manner. In the tradition of non-speculative, effective and falsifiable physics!

Author: David Coupier
Publisher: Springer
ISBN: 3030135470
Category : Mathematics
Languages : en
Pages : 232

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Book Description
This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject: understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes. Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.

Author: Y. Eliashberg
Publisher: Birkhäuser
ISBN: 3034891024
Category : Mathematics
Languages : en
Pages : 438

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Book Description
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.