Higher Geometry

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Higher Geometry

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Author : Frederick S. Woods
language : en
Publisher: Courier Corporation
Release Date : 2013-10-29

Higher Geometry written by Frederick S. Woods and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-29 with Mathematics categories.

For students of mathematics with a sound background in analytic geometry and some knowledge of determinants, this volume has long been among the best available expositions of advanced work on projective and algebraic geometry. Developed from Professor Woods' lectures at the Massachusetts Institute of Technology, it bridges the gap between intermediate studies in the field and highly specialized works. With exceptional thoroughness, it presents the most important general concepts and methods of advanced algebraic geometry (as distinguished from differential geometry). It offers a thorough study of one-, two-, three-, and four-dimensional coordinated systems, the concepts they entail, and their associated geometrical elements. This study culminates with a discussion of n-dimensional geometry in an abstract sense, of which the earlier subjects form concrete illustrations. As each system of coordinates is introduced, the meaning of the linear and quadratic equations is studied, with principal emphasis on the interpretation of equations as well as on a knowledge of useful geometrical facts. The principle of duality is kept at the forefront, and the nature of imaginary elements and the conventional character of the locus of infinity, dependent upon the type of coordinates used, are carefully explained.

Higher Geometry

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Author : Nikolaĭ Vladimirovich Efimov
language : en
Publisher:
Release Date : 1980

Higher Geometry written by Nikolaĭ Vladimirovich Efimov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Higher Dimensional Algebraic Geometry

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Author : Olivier Debarre
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Higher Dimensional Algebraic Geometry written by Olivier Debarre and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The author's goal is to provide an easily accessible introduction to the subject. The book covers in the beginning preparatory and standard definitions and results, moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Mori's minimal model program of classification of algebraic varieties by proving the cone and contraction theorems. The book is well-organized and the author has kept the number of concepts that are used but not proved to a minimum to provide a mostly self-contained introduction to graduate students and researchers.

Geometry

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Author : Audun Holme
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Geometry written by Audun Holme and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

This book is based on lectures on geometry at the University of Bergen, Norway. Over the years these lectures have covered many different aspects and facets ofthis wonderful field.Consequently it has ofcourse never been possible to give a full and final account ofgeometry as such, at an undergraduate level: A carefully considered selection has always been necessary.The present book constitutes the main central themes of these selections. One of the groups I am aiming at, is future teachers of mathematics. All too often the geometry which goes into the syllabus for teacher-students present the material as pedantic and formalistic, suppressing the very pow erful and dynamic character of this old - and yet so young! - field. A field of mathematical insight, research, history and source of artistic inspiration. And not least important, a foundation for our common cultural heritage. Another motivation is to provide an invitation to mathematics in gen eral. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics is more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. An im portant task is seriously attempting to heal these ills. Ills perhaps inflicted on students at an early age, through deficient or even harmful teaching prac tices. Thus the book also aims at an informed public, interested in making a new beginning in math. And in doing so, learning more about this part of our cultural heritage.

Hyperbolic Geometry

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Author : James W. Anderson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Hyperbolic Geometry written by James W. Anderson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, providing the reader with a firm grasp of the concepts and techniques of this beautiful area of mathematics. Topics covered include the upper half-space model of the hyperbolic plane, Möbius transformations, the general Möbius group and the subgroup preserving path length in the upper half-space model, arc-length and distance, the Poincaré disc model, convex subsets of the hyperbolic plane, and the Gauss-Bonnet formula for the area of a hyperbolic polygon and its applications. This updated second edition also features: - an expanded discussion of planar models of the hyperbolic plane arising from complex analysis; - the hyperboloid model of the hyperbolic plane; - a brief discussion of generalizations to higher dimensions; - many new exercises.

Bulletin

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Author :
language : en
Publisher:
Release Date : 1917

Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1917 with Education categories.

Geometry

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Author : Serge Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Geometry written by Serge Lang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.

From the reviews: "A prominent research mathematician and a high school teacher have combined their efforts in order to produce a high school geometry course. The result is a challenging, vividly written volume which offers a broader treatment than the traditional Euclidean one, but which preserves its pedagogical virtues. The material included has been judiciously selected: some traditional items have been omitted, while emphasis has been laid on topics which relate the geometry course to the mathematics that precedes and follows. The exposition is clear and precise, while avoiding pedantry. There are many exercises, quite a number of them not routine. The exposition falls into twelve chapters: 1. Distance and Angles.- 2. Coordinates.- 3. Area and the Pythagoras Theorem.- 4. The Distance Formula.- 5. Some Applications of Right Triangles.- 6. Polygons.- 7. Congruent Triangles.- 8. Dilatations and Similarities.- 9. Volumes.- 10. Vectors and Dot Product.- 11. Transformations.- 12. Isometries.This excellent text, presenting elementary geometry in a manner fully corresponding to the requirements of modern mathematics, will certainly obtain well-merited popularity. Publicationes Mathematicae Debrecen#1

Chambers S Encyclop Dia

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Author : Ephraim Chambers
language : en
Publisher:
Release Date : 1870

Chambers S Encyclop Dia written by Ephraim Chambers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1870 with Encyclopedias and dictionaries categories.

Euclidean Geometry And Transformations

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Author : Clayton W. Dodge
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Euclidean Geometry And Transformations written by Clayton W. Dodge and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.

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.