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Auteur : Paul B. Yale
Catégorie : Boutique Kindle,Ebooks Kindle,Ebooks en langues étrangères
Broché : * pages
Éditeur : *
Langue : Français, Anglais

This book is an introduction to the geometry of Euclidean, affine, and projective spaces with special emphasis on the important groups of symmetries of these spaces. The two major objectives of the text are to introduce the main ideas of affine and projective spaces and to develop facility in handling transformations and groups of transformations. Since there are many good texts on affine and projective planes, the author has concentrated on the n-dimensional cases.Designed to be used in advanced undergraduate mathematics or physics courses, the book focuses on "practical geometry," emphasizing topics and techniques of maximal use in all areas of mathematics. These topics include:Algebraic and Combinatoric PreliminariesIsometries and SimilaritiesAn Introduction to CrystallographyFields and Vector SpacesAffine SpacesProjective SpacesSpecial features include a spiral approach to symmetry; a review of the algebraic prerequisites; proofs which do not appear in other texts, such as the Polya-Burnside theorem; an extensive bibliography; and a large collection of exercises together with suggestions for term-paper topics. In addition, special emphasis is placed on the geometric significance of cosets and conjugates in a group.

Télécharger Geometry and Symmetry (Dover Books on Mathematics) (English Edition) de Paul B. Yale livre En ligne

Geometry and Symmetry (eBook) - Dover Books ~ Clear concise introduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Topics include algebraic and combinatoric preliminaries, isometries and similarities, crystallography, fields and vector spaces, affine spaces, projective space, much more. Advanced undergraduate level.

Geometry And Symmetry Dover Books On Mathematics PDF EPUB ~ This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with the text to enable them to explore geometry. The activities .

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