Methods Of Geometry

Methods Of Geometry Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Methods Of Geometry book. This book definitely worth reading, it is an incredibly well-written.

Methods of Geometry

James T. Smith
Methods of Geometry Book PDF

Author : James T. Smith
Publisher : John Wiley & Sons
Page : 486 pages
File Size : 40,6 Mb
Release : 2011-03-01
Category : Mathematics
ISBN : 9781118031032

Get Book

Methods of Geometry by James T. Smith Pdf

A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.

Methods for Euclidean Geometry

Owen Byer,Felix Lazebnik,Deirdre L. Smeltzer
Methods for Euclidean Geometry Book PDF

Author : Owen Byer,Felix Lazebnik,Deirdre L. Smeltzer
Publisher : American Mathematical Soc.
Page : 461 pages
File Size : 43,7 Mb
Release : 2010-12-31
Category : Mathematics
ISBN : 9780883857632

Get Book

Methods for Euclidean Geometry by Owen Byer,Felix Lazebnik,Deirdre L. Smeltzer Pdf

Euclidean plane geometry is one of the oldest and most beautiful topics in mathematics. Instead of carefully building geometries from axiom sets, this book uses a wealth of methods to solve problems in Euclidean geometry. Many of these methods arose where existing techniques proved inadequate. In several cases, the new ideas used in solving specific problems later developed into independent areas of mathematics. This book is primarily a geometry textbook, but studying geometry in this way will also develop students' appreciation of the subject and of mathematics as a whole. For instance, despite the fact that the analytic method has been part of mathematics for four centuries, it is rarely a tool a student considers using when faced with a geometry problem. Methods for Euclidean Geometry explores the application of a broad range of mathematical topics to the solution of Euclidean problems.

Geometry and Convexity

Paul J. Kelly,Max L. Weiss
Geometry and Convexity Book PDF

Author : Paul J. Kelly,Max L. Weiss
Publisher : Unknown
Page : 0 pages
File Size : 41,5 Mb
Release : 2009
Category : Convex bodies
ISBN : 0486469808

Get Book

Geometry and Convexity by Paul J. Kelly,Max L. Weiss Pdf

This text assumes no prerequisites, offering an easy-to-read treatment with simple notation and clear, complete proofs. From motivation to definition, its explanations feature concrete examples and theorems. 1979 edition.

Frobenius Splitting Methods in Geometry and Representation Theory

Michel Brion,Shrawan Kumar
Frobenius Splitting Methods in Geometry and Representation Theory Book PDF

Author : Michel Brion,Shrawan Kumar
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 51,7 Mb
Release : 2007-08-08
Category : Mathematics
ISBN : 9780817644055

Get Book

Frobenius Splitting Methods in Geometry and Representation Theory by Michel Brion,Shrawan Kumar Pdf

Systematically develops the theory of Frobenius splittings and covers all its major developments. Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research.

Methods of Information Geometry

Shun-ichi Amari,Hiroshi Nagaoka
Methods of Information Geometry Book PDF

Author : Shun-ichi Amari,Hiroshi Nagaoka
Publisher : American Mathematical Soc.
Page : 220 pages
File Size : 47,7 Mb
Release : 2000
Category : Computers
ISBN : 0821843028

Get Book

Methods of Information Geometry by Shun-ichi Amari,Hiroshi Nagaoka Pdf

Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical foundation of information geometry. It provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, and convex analysis.

Polyhedral and Algebraic Methods in Computational Geometry

Michael Joswig,Thorsten Theobald
Polyhedral and Algebraic Methods in Computational Geometry Book PDF

Author : Michael Joswig,Thorsten Theobald
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 40,9 Mb
Release : 2013-01-04
Category : Mathematics
ISBN : 9781447148173

Get Book

Polyhedral and Algebraic Methods in Computational Geometry by Michael Joswig,Thorsten Theobald Pdf

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry. The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations. The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gröbner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.

Methods of Solving Complex Geometry Problems

Ellina Grigorieva
Methods of Solving Complex Geometry Problems Book PDF

Author : Ellina Grigorieva
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 55,5 Mb
Release : 2013-08-13
Category : Mathematics
ISBN : 9783319007052

Get Book

Methods of Solving Complex Geometry Problems by Ellina Grigorieva Pdf

This book is a unique collection of challenging geometry problems and detailed solutions that will build students’ confidence in mathematics. By proposing several methods to approach each problem and emphasizing geometry’s connections with different fields of mathematics, Methods of Solving Complex Geometry Problems serves as a bridge to more advanced problem solving. Written by an accomplished female mathematician who struggled with geometry as a child, it does not intimidate, but instead fosters the reader’s ability to solve math problems through the direct application of theorems. Containing over 160 complex problems with hints and detailed solutions, Methods of Solving Complex Geometry Problems can be used as a self-study guide for mathematics competitions and for improving problem-solving skills in courses on plane geometry or the history of mathematics. It contains important and sometimes overlooked topics on triangles, quadrilaterals, and circles such as the Menelaus-Ceva theorem, Simson’s line, Heron’s formula, and the theorems of the three altitudes and medians. It can also be used by professors as a resource to stimulate the abstract thinking required to transcend the tedious and routine, bringing forth the original thought of which their students are capable. Methods of Solving Complex Geometry Problems will interest high school and college students needing to prepare for exams and competitions, as well as anyone who enjoys an intellectual challenge and has a special love of geometry. It will also appeal to instructors of geometry, history of mathematics, and math education courses.

Methods of Algebraic Geometry: Volume 3

W. V. D. Hodge,Daniel Pedoe
Methods of Algebraic Geometry Volume 3 Book PDF

Author : W. V. D. Hodge,Daniel Pedoe
Publisher : Cambridge University Press
Page : 350 pages
File Size : 44,5 Mb
Release : 1994-05-19
Category : Mathematics
ISBN : 9780521467759

Get Book

Methods of Algebraic Geometry: Volume 3 by W. V. D. Hodge,Daniel Pedoe Pdf

All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed.

Geometric Methods and Applications

Jean Gallier
Geometric Methods and Applications Book PDF

Author : Jean Gallier
Publisher : Springer Science & Business Media
Page : 584 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461301370

Get Book

Geometric Methods and Applications by Jean Gallier Pdf

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book fills the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics that do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine, projective, computational, and Euclidean geometry, basics of differential geometry and Lie groups, and explores many of the practical applications of geometry. Some of these include computer vision, efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Modern Geometry— Methods and Applications

B.A. Dubrovin,A.T. Fomenko,S.P. Novikov
Modern Geometry Methods and Applications Book PDF

Author : B.A. Dubrovin,A.T. Fomenko,S.P. Novikov
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 55,8 Mb
Release : 1985-08-05
Category : Mathematics
ISBN : 9780387961620

Get Book

Modern Geometry— Methods and Applications by B.A. Dubrovin,A.T. Fomenko,S.P. Novikov Pdf

Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.

Analysis, Geometry, and Modeling in Finance

Pierre Henry-Labordere
Analysis Geometry and Modeling in Finance Book PDF

Author : Pierre Henry-Labordere
Publisher : CRC Press
Page : 403 pages
File Size : 52,6 Mb
Release : 2008-09-22
Category : Business & Economics
ISBN : 9781420087000

Get Book

Analysis, Geometry, and Modeling in Finance by Pierre Henry-Labordere Pdf

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously available.Through the problem of option pricing, th

A History of Geometrical Methods

Julian Lowell Coolidge
A History of Geometrical Methods Book PDF

Author : Julian Lowell Coolidge
Publisher : Courier Corporation
Page : 484 pages
File Size : 49,5 Mb
Release : 2013-02-27
Category : Mathematics
ISBN : 9780486158532

Get Book

A History of Geometrical Methods by Julian Lowell Coolidge Pdf

Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.

Digital Geometry

Reinhard Klette,Azriel Rosenfeld
Digital Geometry Book PDF

Author : Reinhard Klette,Azriel Rosenfeld
Publisher : Elsevier
Page : 675 pages
File Size : 47,8 Mb
Release : 2004-09-04
Category : Computers
ISBN : 9780080477268

Get Book

Digital Geometry by Reinhard Klette,Azriel Rosenfeld Pdf

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

Methods of Algebraic Geometry in Control Theory: Part I

Peter Falb
Methods of Algebraic Geometry in Control Theory Part I Book PDF

Author : Peter Falb
Publisher : Springer
Page : 202 pages
File Size : 51,9 Mb
Release : 2018-08-25
Category : Mathematics
ISBN : 9783319980263

Get Book

Methods of Algebraic Geometry in Control Theory: Part I by Peter Falb Pdf

"An introduction to the ideas of algebraic geometry in the motivated context of system theory." Thus the author describes his textbook that has been specifically written to serve the needs of students of systems and control. Without sacrificing mathematical care, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than abstraction. The student will find here a clear presentation with an applied flavor, of the core ideas in the algebra-geometric treatment of scalar linear system theory. The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry). Prerequisites are the basics of linear algebra, some simple notions from topology and the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises are an integral part of the treatment and are used where relevant in the main body of the text. The present, softcover reprint is designed to make this classic textbook available to a wider audience. "This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians." —Monatshefte für Mathematik

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

D. E. Rutherford
Vector Methods Applied to Differential Geometry Mechanics and Potential Theory Book PDF

Author : D. E. Rutherford
Publisher : Courier Corporation
Page : 148 pages
File Size : 52,9 Mb
Release : 2012-04-27
Category : Mathematics
ISBN : 9780486154534

Get Book

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory by D. E. Rutherford Pdf

This text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. 1957 edition.