geometry

Book Title : Geometry I
Author : Marcel Berger
Publisher : Springer Science & Business Media
Release Date : 2009-01-21
Pages : 432
ISBN : 3540116583
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Volume I of this 2-volume textbook provides a lively and readable presentation of large parts of classical geometry. For each topic the author presents an esthetically pleasing and easily stated theorem - although the proof may be difficult and concealed. The mathematical text is illustrated with figures, open problems and references to modern literature, providing a unified reference to geometry in the full breadth of its subfields and ramifications.

Book Title : Geometry II
Author : Marcel Berger
Publisher : Springer Science & Business Media
Release Date : 2009-01-21
Pages : 406
ISBN : 3540170154
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

This is the second of a two-volume textbook that provides a very readable and lively presentation of large parts of geometry in the classical sense. For each topic the author presents a theorem that is esthetically pleasing and easily stated, although the proof may be quite hard and concealed. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.

Book Title : Modern Geometry Methods and Applications
Author : B.A. Dubrovin
Publisher : Springer Science & Business Media
Release Date : 1985-08-05
Pages : 432
ISBN : 0387961623
Available Language : English, Spanish, And French
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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.

Book Title : Analytical Geometry
Author : Izu Vaisman
Publisher : World Scientific
Release Date : 1997
Pages : 284
ISBN : 981023158X
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

This volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification of conics and quadrics, and geometric transformations. These subjects are important both for the mathematical grounding of the student and for applications to various other subjects. They may be studied in the first year or as a second course in geometry.The material is presented in a geometric way, and it aims to develop the geometric intuition and thinking of the student, as well as his ability to understand and give mathematical proofs. Linear algebra is not a prerequisite, and is kept to a bare minimum.The book includes a few methodological novelties, and a large number of exercises and problems with solutions. It also has an appendix about the use of the computer program MAPLEV in solving problems of analytical and projective geometry, with examples.

Book Title : Geometry Grade 4
Author : Jennifer Lawson
Publisher : Portage & Main Press
Release Date : 2008-07-31
Pages : 132
ISBN : 9781553791577
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

In this module, students explore two- and three- dimensional shapes, their makeup, their properties, and their relationships to each other. The principal goal is to enhance students' understanding of geometric concepts and the roles they play in our lives.Also included:materials lists activity descriptions questioning techniques problem-solving examples activity centre and extension ideas assessment suggestions activity sheets and visuals All modules include a list of children's books and websites related to the mathematics topics introduced, a detailed introduction to the Hands-On Mathematics program (guiding principles, implementation guidelines, an overview of the skills that students use and develop during mathematics inquiry), and a classroom assessment plan and record-keeping templates.

Book Title : Geometry Topology and Physics Second Edition
Author : Mikio Nakahara
Publisher : CRC Press
Release Date : 2003-06-04
Pages : 596
ISBN : 0750306068
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.

Book Title : Elements of Geometry Containing the First Six Books of Euclid
Author : John Playfair
Publisher :
Release Date : 1819
Pages : 317
ISBN : NYPL:33433069096299
Available Language : English, Spanish, And French
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Book Title : The Geometry of Rene Descartes
Author : René Descartes
Publisher : Cosimo, Inc.
Release Date : 2007
Pages : 264
ISBN : 9781602066915
Available Language : English, Spanish, And French
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Book Title : Applied Descriptive Geometry
Author : Kathryn Holliday-Darr
Publisher : Cengage Learning
Release Date : 1998
Pages : 482
ISBN : 0827379129
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Excellent for engineering and technology students, this text goes far beyond instruction in standard orthographic projection to clarify all the tools of descriptive geometry--and how they apply to individual fields. The text places special emphasis on applications in all the various engineering disciplines: mechanical, plastics, industrial, piping, aerospace, marine, civil, and structural. As a result, students quickly grasp the value of descriptive geometry as they apply the tools and techniques to practical problems. By organizing information around the field's central concept--line of sight--the presentation facilitates understanding in a way unmatched by any other text. The worktext format provides students with all the resources they need--text and workbook--under one cover.ALSO AVAILABLEINSTRUCTOR SUPPLEMENTS CALL CUSTOMER SUPPORT TO ORDER Instructor's Guide, ISBN: 0-7668-0118-7Keywords: Descriptive Geometry

Book Title : Euclidean Geometry and Transformations
Author : Clayton W. Dodge
Publisher : Courier Corporation
Release Date : 2004
Pages : 295
ISBN : 0486434761
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.