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Author : Edwin Bidwell Wilson
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (559 download)
Download or read book Infinite Regions in Geometry ... written by Edwin Bidwell Wilson and published by . This book was released on 1914 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maxime Bocher
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.E/5 ( download)
Download or read book The Infinite Regions of Various Geometries written by Maxime Bocher and published by . This book was released on 1914 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724572639
Total Pages : 238 pages
Book Rating : 4.5/5 (726 download)
Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Author : Boris Khesin
Publisher : Springer Science & Business Media
ISBN 13 : 3540772634
Total Pages : 304 pages
Book Rating : 4.5/5 (47 download)
Download or read book The Geometry of Infinite-Dimensional Groups written by Boris Khesin and published by Springer Science & Business Media. This book was released on 2008-09-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Author : Sean Sheeter
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.3/5 (255 download)
Download or read book The Infinity Problem, Projective Geometry and Its Regional Subgeometries written by Sean Sheeter and published by . This book was released on 1988 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Julian Lowell Coolidge
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (4 download)
Download or read book The Geometry of the Complex Domain written by Julian Lowell Coolidge and published by . This book was released on 1924 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 660 pages
Book Rating : 4.U/5 (183 download)
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1915 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.0/5 ( download)
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1914 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Max J. Egenhofer
Publisher : Springer
ISBN 13 : 3642231969
Total Pages : 465 pages
Book Rating : 4.6/5 (422 download)
Download or read book Spatial Information Theory written by Max J. Egenhofer and published by Springer. This book was released on 2011-09-08 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Spatial Information Theory, COSIT 2011, held in Belfast, ME, USA, in September 2011. The 23 revised full papers were carefully reviewed and selected from 55 submissions. They are organized in topical sections on maps and navigation, spatial change, spatial reasoning, spatial cognition and social aspects of space, perception and spatial semantics, and space and language.
Author : Alexander Soifer
Publisher : Springer Science & Business Media
ISBN 13 : 0387746420
Total Pages : 619 pages
Book Rating : 4.3/5 (877 download)
Download or read book The Mathematical Coloring Book written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2008-10-13 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.
Author : David Borthwick
Publisher : Birkhäuser
ISBN 13 : 3319338773
Total Pages : 471 pages
Book Rating : 4.3/5 (193 download)
Download or read book Spectral Theory of Infinite-Area Hyperbolic Surfaces written by David Borthwick and published by Birkhäuser. This book was released on 2016-07-12 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field. For the second edition the context has been extended to general surfaces with hyperbolic ends, which provides a natural setting for development of the spectral theory while still keeping technical difficulties to a minimum. All of the material from the first edition is included and updated, and new sections have been added. Topics covered include an introduction to the geometry of hyperbolic surfaces, analysis of the resolvent of the Laplacian, scattering theory, resonances and scattering poles, the Selberg zeta function, the Poisson formula, distribution of resonances, the inverse scattering problem, Patterson-Sullivan theory, and the dynamical approach to the zeta function. The new sections cover the latest developments in the field, including the spectral gap, resonance asymptotics near the critical line, and sharp geometric constants for resonance bounds. A new chapter introduces recently developed techniques for resonance calculation that illuminate the existing results and conjectures on resonance distribution. The spectral theory of hyperbolic surfaces is a point of intersection for a great variety of areas, including quantum physics, discrete groups, differential geometry, number theory, complex analysis, and ergodic theory. This book will serve as a valuable resource for graduate students and researchers from these and other related fields. Review of the first edition: "The exposition is very clear and thorough, and essentially self-contained; the proofs are detailed...The book gathers together some material which is not always easily available in the literature...To conclude, the book is certainly at a level accessible to graduate students and researchers from a rather large range of fields. Clearly, the reader...would certainly benefit greatly from it." (Colin Guillarmou, Mathematical Reviews, Issue 2008 h)
Author : Geoffrey Hellman
Publisher : Oxford University Press
ISBN 13 : 0191021350
Total Pages : 224 pages
Book Rating : 4.1/5 (91 download)
Download or read book Varieties of Continua written by Geoffrey Hellman and published by Oxford University Press. This book was released on 2018-02-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Varieties of Continua explores the development of the idea of the continuous. Hellman and Shapiro begin with two historical episodes. The first is the remarkably rapid transition in the course of the nineteenth century from the ancient Aristotelian view, that a true continuum cannot be composed of points, to the now standard, point-based frameworks for analysis and geometry found in modern mainstream mathematics (stemming from the work of Bolzano, Cauchy, Weierstrass, Dedekind, Cantor, et al.). The second is the mid-tolate-twentieth century revival of pre-limit methods in analysis and geometry using infinitesimals including non-standard analysis (due to Abraham Robinson), and the more radical smooth infinitesimal analysis that uses intuitionistic logic. Hellman and Shapiro present a systematic comparison of these and related alternatives (including constructivist and predicative conceptions), weighing various trade-offs, helping articulate a modern pluralist perspective, and articulate a modern pluralist perspective on continuity. The main creative work of the book is the development of rigorous regions-based theories of classical continua, including Euclidean and non-Euclidean geometries, that are mathematically equivalent (inter-reducible) to the currently standard, point-based accounts in mainstream mathematics.
Author : Michael Heller
Publisher : Cambridge University Press
ISBN 13 : 1139495569
Total Pages : 327 pages
Book Rating : 4.1/5 (394 download)
Download or read book Infinity written by Michael Heller and published by Cambridge University Press. This book was released on 2011-02-07 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy and theology offer a rich intellectual exchange among various current viewpoints, rather than displaying a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity.
Author : Reinhard Klette
Publisher : Elsevier
ISBN 13 : 0080477267
Total Pages : 675 pages
Book Rating : 4.0/5 (84 download)
Download or read book Digital Geometry written by Reinhard Klette and published by Elsevier. This book was released on 2004-09-04 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital geometry is about deriving geometric information from digital pictures. The field emerged from its mathematical roots some forty-years ago through work in computer-based imaging, and it is used today in many fields, such as digital image processing and analysis (with applications in medical imaging, pattern recognition, and robotics) and of course computer graphics. Digital Geometry is the first book to detail the concepts, algorithms, and practices of the discipline. This comphrehensive text and reference provides an introduction to the mathematical foundations of digital geometry, some of which date back to ancient times, and also discusses the key processes involved, such as geometric algorithms as well as operations on pictures. *A comprehensive text and reference written by pioneers in digital geometry, image processing and analysis, and computer vision*Provides a collection of state-of-the-art algorithms for a wide variety of geometrical picture analysis tasks, including extracting data from digital images and making geometric measurements on the data*Includes exercises, examples, and references to related or more advanced work
Author : M. Huemer
Publisher : Springer
ISBN 13 : 1137560878
Total Pages : 285 pages
Book Rating : 4.1/5 (375 download)
Download or read book Approaching Infinity written by M. Huemer and published by Springer. This book was released on 2016-05-23 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approaching Infinity addresses seventeen paradoxes of the infinite, most of which have no generally accepted solutions. The book addresses these paradoxes using a new theory of infinity, which entails that an infinite series is uncompletable when it requires something to possess an infinite intensive magnitude. Along the way, the author addresses the nature of numbers, sets, geometric points, and related matters. The book addresses the need for a theory of infinity, and reviews both old and new theories of infinity. It discussing the purposes of studying infinity and the troubles with traditional approaches to the problem, and concludes by offering a solution to some existing paradoxes.
Author : Geoffrey Hellman
Publisher : Oxford University Press
ISBN 13 : 019871274X
Total Pages : 219 pages
Book Rating : 4.1/5 (987 download)
Download or read book Varieties of Continua written by Geoffrey Hellman and published by Oxford University Press. This book was released on 2018 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hellman and Shapiro explore the development of the idea of the continuous, from the Aristotelian view that a true continuum cannot be composed of points to the now standard, entirely punctiform frameworks for analysis and geometry. They then investigate the underlying metaphysical issues concerning the nature of space or space-time.
Author : Christophe Reutenauer
Publisher : Springer Science & Business Media
ISBN 13 : 3642043968
Total Pages : 551 pages
Book Rating : 4.6/5 (42 download)
Download or read book Discrete Geometry for Computer Imagery written by Christophe Reutenauer and published by Springer Science & Business Media. This book was released on 2009-09-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 15th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2009, held in Montréal, Canada, in September/October 2009. The 42 revised full papers were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on discrete shape, representation, recognition and analysis; discrete and combinatorial tools for image segmentation and analysis; discrete and combinatorial Topology; models for discrete geometry; geometric transforms; and discrete tomography.
