The Twisted Cubic

The Twisted Cubic PDF Author: Philip Worsley Wood
Publisher:
ISBN:
Category : Curves of double curvature
Languages : en
Pages : 93

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Book Description

The Twisted Cubic

The Twisted Cubic PDF Author: Philip Worsley Wood
Publisher:
ISBN:
Category : Curves of double curvature
Languages : en
Pages : 93

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Book Description


Algebraic Geometry

Algebraic Geometry PDF Author: Joe Harris
Publisher: Springer Science & Business Media
ISBN: 1475721897
Category : Mathematics
Languages : en
Pages : 344

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Book Description
"This book succeeds brilliantly by concentrating on a number of core topics...and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship." --MATHEMATICAL REVIEWS

Geometry: A Comprehensive Course

Geometry: A Comprehensive Course PDF Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category : Mathematics
Languages : en
Pages : 466

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Book Description
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Synthetic Treatment of the Twisted Cubic

Synthetic Treatment of the Twisted Cubic PDF Author: Helena Marie Harrington
Publisher:
ISBN:
Category :
Languages : en
Pages : 118

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Book Description


Covering Codes

Covering Codes PDF Author: G. Cohen
Publisher: Elsevier
ISBN: 0080530079
Category : Mathematics
Languages : en
Pages : 565

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Book Description
The problems of constructing covering codes and of estimating their parameters are the main concern of this book. It provides a unified account of the most recent theory of covering codes and shows how a number of mathematical and engineering issues are related to covering problems.Scientists involved in discrete mathematics, combinatorics, computer science, information theory, geometry, algebra or number theory will find the book of particular significance. It is designed both as an introductory textbook for the beginner and as a reference book for the expert mathematician and engineer.A number of unsolved problems suitable for research projects are also discussed.

The Shape of Inner Space

The Shape of Inner Space PDF Author: Shing-Tung Yau
Publisher: Il Saggiatore
ISBN: 0465020232
Category : Mathematics
Languages : en
Pages : 398

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Book Description
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Classical Algebraic Geometry

Classical Algebraic Geometry PDF Author: Igor V. Dolgachev
Publisher: Cambridge University Press
ISBN: 1139560786
Category : Mathematics
Languages : en
Pages : 653

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Book Description
Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century. The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona transformations, the theory of apolarity and the geometry of lines in projective spaces. The author's contemporary approach makes this legacy accessible to modern algebraic geometers and to others who are interested in applying classical results. The vast bibliography of over 600 references is complemented by an array of exercises that extend or exemplify results given in the book.

Cohomological and Geometric Approaches to Rationality Problems

Cohomological and Geometric Approaches to Rationality Problems PDF Author: Fedor Bogomolov
Publisher: Springer Science & Business Media
ISBN: 0817649344
Category : Mathematics
Languages : en
Pages : 316

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Book Description
Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov

3264 and All That

3264 and All That PDF Author: David Eisenbud
Publisher: Cambridge University Press
ISBN: 1107017084
Category : Mathematics
Languages : en
Pages : 633

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Book Description
3264, the mathematical solution to a question concerning geometric figures.

Multiple View Geometry in Computer Vision

Multiple View Geometry in Computer Vision PDF Author: Richard Hartley
Publisher: Cambridge University Press
ISBN: 1139449141
Category : Computers
Languages : en
Pages : 676

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Book Description
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.