Geometry Book


  • Author : David A. Brannan
  • Publisher : Cambridge University Press
  • Release Date : 2011-12-22
  • Genre: Mathematics
  • Pages : 602
  • ISBN 10 : 9781139503709

Geometry Excerpt :

This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from

The Wonder Book of Geometry Book

The Wonder Book of Geometry

  • Author : David Acheson
  • Publisher : Oxford University Press, USA
  • Release Date : 2020-10-22
  • Genre: Uncategoriezed
  • Pages : 288
  • ISBN 10 : 9780198846383

The Wonder Book of Geometry Excerpt :

David Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry offers the quickest route to the spirit of mathematics at its best.

Lectures on Classical Differential Geometry Book
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Lectures on Classical Differential Geometry

  • Author : Dirk Jan Struik
  • Publisher : Courier Corporation
  • Release Date : 1961-01-01
  • Genre: Mathematics
  • Pages : 232
  • ISBN 10 : 0486656098

Lectures on Classical Differential Geometry Excerpt :

Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry. It is aimed at advanced undergraduate and graduate students who will find it not only highly readable but replete with illustrations carefully selected to help stimulate the student's visual understanding of geometry. The text features an abundance of problems, most of which are simple enough for class use, and often convey an interesting geometrical fact. A selection of more difficult problems has been included to challenge the ambitious student. Written by a noted mathematician and historian of mathematics, this volume presents the fundamental conceptions of the theory of curves and surfaces and applies them to a number of examples. Dr. Struik has enhanced the treatment with copious historical, biographical, and bibliographical references that place the theory in context and encourage the student to consult original sources and discover additional important ideas there. For this second edition, Professor Struik made some corrections and added an appendix with a sketch of the application of Cartan's method of Pfaffians to curve and surface theory. The result was to further increase the merit of this stimulating, thought-provoking text — ideal for classroom use, but also perfectly suited for self-study. In this attractive, inexpensive paperback edition, it belongs in the library of any mathematician or student of mathematics interested in differential geometry.

Handbook of Differential Geometry Book

Handbook of Differential Geometry

  • Author : Franki J.E. Dillen
  • Publisher : Elsevier
  • Release Date : 2005-11-29
  • Genre: Mathematics
  • Pages : 574
  • ISBN 10 : 0080461204

Handbook of Differential Geometry Excerpt :

In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics

Stochastic Geometry Book

Stochastic Geometry

  • Author : David Coupier
  • Publisher : Springer
  • Release Date : 2019-04-09
  • Genre: Mathematics
  • Pages : 232
  • ISBN 10 : 9783030135478

Stochastic Geometry 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.

Nonlinear Computational Geometry Book

Nonlinear Computational Geometry

  • Author : Ioannis Z. Emiris
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-10-28
  • Genre: Mathematics
  • Pages : 239
  • ISBN 10 : 9781441909992

Nonlinear Computational Geometry Excerpt :

An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.

Combinatorial Algebraic Geometry Book

Combinatorial Algebraic Geometry

  • Author : Gregory G. Smith
  • Publisher : Springer
  • Release Date : 2017-11-17
  • Genre: Mathematics
  • Pages : 390
  • ISBN 10 : 9781493974863

Combinatorial Algebraic Geometry Excerpt :

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.

An Invitation To Noncommutative Geometry Book

An Invitation To Noncommutative Geometry

  • Author : Matilde Marcolli
  • Publisher : World Scientific
  • Release Date : 2008-02-11
  • Genre: Science
  • Pages : 516
  • ISBN 10 : 9789814475624

An Invitation To Noncommutative Geometry Excerpt :

This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.

Foundations of Three Dimensional Euclidean Geometry Book

Foundations of Three Dimensional Euclidean Geometry

  • Author : Izu Vaisman
  • Publisher : CRC Press
  • Release Date : 2020-11-25
  • Genre: Mathematics
  • Pages : 288
  • ISBN 10 : 9781000110494

Foundations of Three Dimensional Euclidean Geometry Excerpt :

This book presents to the reader a modern axiomatic construction of three-dimensional Euclidean geometry in a rigorous and accessible form. It is helpful for high school teachers who are interested in the modernization of the teaching of geometry.

GMAT Geometry Book

GMAT Geometry

  • Author : Manhattan Prep
  • Publisher : Simon and Schuster
  • Release Date : 2014-12-02
  • Genre: Study Aids
  • Pages : 152
  • ISBN 10 : 9781941234242

GMAT Geometry Excerpt :

Adapting to the ever-changing GMAT exam, Manhattan Prep’s 6th Edition GMAT Strategy Guides offer the latest approaches for students looking to score in the top percentiles. Written by active instructors with 99th-percentile scores, these books are designed with the student in mind. The GMAT Geometry strategy guide equips you with powerful tools to grasp and solve every geometry problem tested on the GMAT. It covers not only fundamental geometric principles and techniques but also nuanced strategies for tackling tricky questions involving polygons, the coordinate plane, and many other topics. Unlike other guides that attempt to convey everything in a single tome, the GMAT Geometry strategy guide is designed to provide deep, focused coverage of one specialized area tested on the GMAT. As a result, students benefit from thorough and comprehensive subject material, clear explanations of fundamental principles, and step-by-step instructions of important techniques. In-action practice problems and detailed answer explanations challenge the student, while topical sets of Official Guide problems provide the opportunity for further growth. Used by itself or with other Manhattan Prep Strategy Guides, the GMAT Geometry strategy guide will help students develop all the knowledge, skills, and strategic thinking necessary for success on the GMAT. Purchase of this book includes one year of access to Manhattan Prep’s Geometry Question Bank. All of Manhattan Prep's GMAT Strategy Guides are aligned with the GMAC Official Guide, 2016 edition.

Algebraic Geometry and Singularities Book

Algebraic Geometry and Singularities

  • Author : Antonio Campillo Lopez
  • Publisher : Springer Science & Business Media
  • Release Date : 1995-01-26
  • Genre: Mathematics
  • Pages : 407
  • ISBN 10 : 3764353341

Algebraic Geometry and Singularities Excerpt :

The volume contains both general and research papers. Among the first ones are papers showing recent and original developments or methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The research papers deal on topics related to, or close to, those listed_above. The contributions are organized in three parts according to their contents. Part I presents a set of papers on resolution of singularities, a topic of renewed activity. It deals with important topics of current interest, such as canonical, algorithmic, combinatorial and graphical procedures (Villamayor, Oka, Marijmin), as well as special results on desingularization in characteristic p (Cossart, Moh), and connections between resolution and structure of the space of arcs through a singularity (Gonz81ez-Sprinberg-Lejeune-Jalabert). Part II contains a series of papers on the study~of singularities and its connections with differential systems and deformation or perturbation theo­ ries. Two expository papers (Maisonobe-Briam;on, :'vlebkhout) describe, in an algebro-geometric way, the interaction between singularities and D-module t.he­ ory including recent progress on Bernstein polynomials and Newton polygon techniques. Geometry of foliations (Henaut, Garcfa-Reguera), polar varieties and stratifications (Hajto) are also topics treated here. Two other papers (Wall, Greuel-Pfister) deal with quasihomogeneous singularities in the contexts of per­ turbations and moduli spaces. Globalization of deformations of singularities (de Jong) and determination of complex topology from the real one (~10nd) com­ plete this series of papers. Part III consists of papers on algebraic geometry of curves and surfaces.

Advances in Geometry and Lie Algebras from Supergravity Book

Advances in Geometry and Lie Algebras from Supergravity

  • Author : Pietro Giuseppe Frè
  • Publisher : Springer
  • Release Date : 2018-02-24
  • Genre: Science
  • Pages : 556
  • ISBN 10 : 9783319744919

Advances in Geometry and Lie Algebras from Supergravity Excerpt :

This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity. The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.

Giordano Bruno and the Geometry of Language Book

Giordano Bruno and the Geometry of Language

  • Author : Arielle Saiber
  • Publisher : Routledge
  • Release Date : 2017-03-02
  • Genre: Literary Criticism
  • Pages : 200
  • ISBN 10 : 9781351933674

Giordano Bruno and the Geometry of Language Excerpt :

Giordano Bruno and the Geometry of Language brings to the fore a sixteenth-century philosopher's role in early modern Europe as a bridge between science and literature, or more specifically, between the spatial paradigm of geometry and that of language. Arielle Saiber examines how, to invite what Bruno believed to be an infinite universe-its qualities and vicissitudes-into the world of language, Bruno forged a system of 'figurative' vocabularies: number, form, space, and word. This verbal and symbolic system in which geometric figures are seen to underlie rhetorical figures, is what Saiber calls 'geometric rhetoric.' Through analysis of Bruno's writings, Saiber shows how Bruno's writing necessitates a crafting of space, and is, in essence, a lexicon of spatial concepts. This study constitutes an original contribution both to scholarship on Bruno and to the fields of early modern scientific and literary studies. It also addresses the broader question of what role geometry has in the formation of any language and literature of any place and time.

Old and New Unsolved Problems in Plane Geometry and Number Theory Book

Old and New Unsolved Problems in Plane Geometry and Number Theory

  • Author : Victor Klee
  • Publisher : American Mathematical Soc.
  • Release Date : 2020-07-31
  • Genre: Education
  • Pages : 333
  • ISBN 10 : 9781470454616

Old and New Unsolved Problems in Plane Geometry and Number Theory Excerpt :

Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.