A Primer of Algebraic Geometry
A Primer of Algebraic Geometry

Author: Huishi Li

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 393

ISBN-13: 1482270331

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"Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis, dimension of algebraic sets, local theory, curves and elliptic curves, and more."

Machine Proofs in Geometry
Machine Proofs in Geometry

Author: Shang-Ching Chou

Publisher: World Scientific

Published: 1994

Total Pages: 490

ISBN-13: 9789810215842

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This book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.

The Ray Tracer Challenge
The Ray Tracer Challenge

Author: Jamis Buck

Publisher:

Published: 2019

Total Pages: 292

ISBN-13: 9781680502718

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Brace yourself for a fun challenge: build a photorealistic 3D renderer from scratch! In just a couple of weeks, build a ray tracer that renders beautiful scenes with shadows, reflections, refraction effects, and subjects composed of various graphics primitives: spheres, cubes, cylinders, triangles, and more. With each chapter, implement another piece of the puzzle and move the renderer forward. Use whichever language and environment you prefer, and do it entirely test-first, so you know it's correct.

Geometry: Euclid and Beyond
Geometry: Euclid and Beyond

Author: Robin Hartshorne

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 535

ISBN-13: 0387226761

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This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Elementary Synthetic Geometry of the Point, Line and Circle in the Plane
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Author: Nathan Fellowes Dupuis

Publisher: London : Macmillan

Published: 1889

Total Pages: 370

ISBN-13:

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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane by Nathan Fellowes Dupuis, first published in 1889, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.