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Author : Rolfe A. Leary
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (319 download)
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:
Author : M. D. Maia
Publisher : Springer Science & Business Media
ISBN 13 : 1441982736
Total Pages : 182 pages
Book Rating : 4.4/5 (419 download)
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.
Author : Javier Fernández de Bobadilla
Publisher : Birkhäuser
ISBN 13 : 9783030619602
Total Pages : 0 pages
Book Rating : 4.6/5 (196 download)
Download or read book Singularities and Their Interaction with Geometry and Low Dimensional Topology written by Javier Fernández de Bobadilla and published by Birkhäuser. This book was released on 2022-05-29 with total page 0 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.
Author : Ulf Dieckmann
Publisher : Cambridge University Press
ISBN 13 : 0521642949
Total Pages : 583 pages
Book Rating : 4.5/5 (216 download)
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.
Author : Alberto Corso
Publisher : American Mathematical Soc.
ISBN 13 : 0821840940
Total Pages : 282 pages
Book Rating : 4.8/5 (218 download)
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.
Author : David Bertolo
Publisher : John Wiley & Sons
ISBN 13 : 1119329973
Total Pages : 224 pages
Book Rating : 4.1/5 (193 download)
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 224 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.
Author : H. Pedersen
Publisher : CRC Press
ISBN 13 : 9780824797911
Total Pages : 772 pages
Book Rating : 4.7/5 (979 download)
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."
Author : Joseph J. Jean-Claude
Publisher : Quantometrix
ISBN 13 : 1311819878
Total Pages : 230 pages
Book Rating : 4.3/5 (118 download)
Download or read book Quanto-Geometry written by Joseph J. Jean-Claude and published by Quantometrix. This book was released on 2015-01-26 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Victor I. Burenkov
Publisher : American Mathematical Soc.
ISBN 13 : 0821840606
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)
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."
Author : David Coupier
Publisher : Springer
ISBN 13 : 3030135470
Total Pages : 232 pages
Book Rating : 4.0/5 (31 download)
Download or read book Stochastic Geometry written by David Coupier and published by Springer. This book was released on 2019-04-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Liang-Yee Cheng
Publisher : Springer Nature
ISBN 13 : 3031135881
Total Pages : 1080 pages
Book Rating : 4.0/5 (311 download)
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.
Author : Y. Eliashberg
Publisher : Birkhäuser
ISBN 13 : 3034891024
Total Pages : 438 pages
Book Rating : 4.0/5 (348 download)
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.
Author : John E. Hilliard
Publisher : Springer Science & Business Media
ISBN 13 : 9781402016875
Total Pages : 512 pages
Book Rating : 4.0/5 (168 download)
Download or read book Stereology and Stochastic Geometry written by John E. Hilliard and published by Springer Science & Business Media. This book was released on 2003-11-30 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Somebody had to do it. The Chinese speak of deep water wells called "grandfather wells" because they take three generations of diggers to complete. Imagine the thought of such a well being abandoned incomplete by the third generation. What a loss! This book is like a grandfather well except that it has taken only two generations, John Hilliard's and mine, to finish. When I saw his manuscript lying in a heap, I decided that I must spend the time to put it and his notes into a publishable form. Now, it is done. This book is mostly about performing spatial measurements through the statistical sampling of images; it is a text on classical stereology as John Hilliard saw it. His vision of the subject was broad. Consequently, its title is broad too. It presents this subject and some of its modem extensions from the classical perspective of the one of the founders of the field, and my first advisor at Northwestern University, John Hilliard. There is nothing new in this book but much that may have been lost over time. It rediscovers many useful discussions about such subjects as the variances of stereo logical measurements, anisotropy etc. It recovers some of the dialogues between John Hilliard and his students on such topics as fractals and Monte Carlo simulations. It recaptures a little of John Hilliard's unique and subtle wit.
Author : Tetsuo Asano
Publisher : Springer
ISBN 13 : 3540365869
Total Pages : 449 pages
Book Rating : 4.5/5 (43 download)
Download or read book Geometry, Morphology, and Computational Imaging written by Tetsuo Asano and published by Springer. This book was released on 2003-08-02 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 11th International Workshop on Theoretical Foundations of Computer Vision, held in Dagstuhl Castle, Germany in April 2002. The 27 revised full papers presented went through two rounds of reviewing and improvement and assess the state of the art in geometry, morphology, and computational imaging. The papers are organized in sections on geometry - models and algorithms; property measurement in the grid and on finite samples; features, shape, and morphology; and computer vision and scene analysis.
Author : Gregory L. Naber
Publisher : Springer Science & Business Media
ISBN 13 : 1475727429
Total Pages : 410 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Ruth McVoy Martin
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (31 download)
Download or read book Wake Geometry Effects on Rotor Blade-vortex Interaction Noise Directivity written by Ruth McVoy Martin and published by . This book was released on 1990 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nihat Ay
Publisher : Springer
ISBN 13 : 3319564781
Total Pages : 407 pages
Book Rating : 4.3/5 (195 download)
Download or read book Information Geometry written by Nihat Ay and published by Springer. This book was released on 2017-08-25 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated. This novel foundation then leads to application highlights, such as generalizations and extensions of the classical uniqueness result of Chentsov or the Cramér-Rao inequality. Additionally, several new application fields of information geometry are highlighted, for instance hierarchical and graphical models, complexity theory, population genetics, or Markov Chain Monte Carlo. The book will be of interest to mathematicians who are interested in geometry, information theory, or the foundations of statistics, to statisticians as well as to scientists interested in the mathematical foundations of complex systems.
