Geometry

Geometry

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  • Author: D. A. Brannan
  • Publisher:
  • ISBN: 9781107385283
  • Category : Geometry
  • Languages : en
  • Pages : 497


Kiselev's Geometry

Kiselev's Geometry

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  • Author: Andreĭ Petrovich Kiselev
  • Publisher:
  • ISBN:
  • Category : Geometry
  • Languages : en
  • Pages : 192

This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.


Introduction to Projective Geometry

Introduction to Projective Geometry

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  • Author: C. R. Wylie
  • Publisher: Courier Corporation
  • ISBN: 0486141705
  • Category : Mathematics
  • Languages : en
  • Pages : 578

This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.


Lectures on Poisson Geometry

Lectures on Poisson Geometry

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  • Author: Marius Crainic
  • Publisher: American Mathematical Soc.
  • ISBN: 1470466678
  • Category : Education
  • Languages : en
  • Pages : 479

This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto


A Vector Space Approach to Geometry

A Vector Space Approach to Geometry

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  • Author: Melvin Hausner
  • Publisher: Courier Dover Publications
  • ISBN: 0486835391
  • Category : Mathematics
  • Languages : en
  • Pages : 417

A fascinating exploration of the correlation between geometry and linear algebra, this text portrays the former as a subject better understood by the use and development of the latter rather than as an independent field. The treatment offers elementary explanations of the role of geometry in other branches of math and science — including physics, analysis, and group theory — as well as its value in understanding probability, determinant theory, and function spaces. Outstanding features of this volume include discussions of systematic geometric motivations in vector space theory and matrix theory; the use of the center of mass in geometry, with an introduction to barycentric coordinates; axiomatic development of determinants in a chapter dealing with area and volume; and a careful consideration of the particle problem. Students and other mathematically inclined readers will find that this inquiry into the interplay between geometry and other areas offers an enriched appreciation of both subjects.


The Foundations of Geometry

The Foundations of Geometry

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  • Author: David Hilbert
  • Publisher: Read Books Ltd
  • ISBN: 1473395941
  • Category : Mathematics
  • Languages : en
  • Pages : 98

This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.


Geometry Civilized

Geometry Civilized

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  • Author: J. L. Heilbron
  • Publisher: Oxford University Press
  • ISBN: 9780198506904
  • Category : History
  • Languages : en
  • Pages : 344

This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.


Fundamental Concepts of Geometry

Fundamental Concepts of Geometry

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  • Author: Bruce E. Meserve
  • Publisher: Courier Corporation
  • ISBN: 048615226X
  • Category : Mathematics
  • Languages : en
  • Pages : 336

Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.


Linear Algebra and Projective Geometry

Linear Algebra and Projective Geometry

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  • Author: Reinhold Baer
  • Publisher: Courier Corporation
  • ISBN: 0486154661
  • Category : Mathematics
  • Languages : en
  • Pages : 338

Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.


Geometry: The Line and the Circle

Geometry: The Line and the Circle

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  • Author: Maureen T. Carroll
  • Publisher: American Mathematical Soc.
  • ISBN: 1470448432
  • Category : Geometry
  • Languages : en
  • Pages : 480

Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.