A Treatise on the Differential Geometry of Curves and Surfaces
A Treatise on the Differential Geometry of Curves and Surfaces

Author: Luther Pfahler Eisenhart

Publisher:

Published: 1909

Total Pages: 500

ISBN-13:

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A Treatise on the Differential Geometry of Curves and Surfaces by Luther Pfahler Eisenhart, first published in 1909, 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.

Introduction to Differential Geometry of Space Curves and Surfaces
Introduction to Differential Geometry of Space Curves and Surfaces

Author: Taha Sochi

Publisher: Taha Sochi

Published: 2022-09-14

Total Pages: 252

ISBN-13:

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This book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach. It can be used as part of a course on tensor calculus as well as a textbook or a reference for an intermediate-level course on differential geometry of curves and surfaces. The book is furnished with an index, extensive sets of exercises and many cross references, which are hyperlinked for the ebook users, to facilitate linking related concepts and sections. The book also contains a considerable number of 2D and 3D graphic illustrations to help the readers and users to visualize the ideas and understand the abstract concepts. We also provided an introductory chapter where the main concepts and techniques needed to understand the offered materials of differential geometry are outlined to make the book fairly self-contained and reduce the need for external references.

Geometry of Surfaces
Geometry of Surfaces

Author: Stephen P. Radzevich

Publisher: Springer

Published: 2019-08-14

Total Pages: 313

ISBN-13: 3030221849

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This updated and expanded edition presents a highly accurate specification for part surface machining. Precise specification reduces the cost of this widely used industrial operation as accurately specified and machined part surfaces do not need to undergo costly final finishing. Dr. Radzevich describes techniques in this volume based primarily on classical differential geometry of surfaces. He then transitions from differential geometry of surfaces to engineering geometry of surfaces, and examines how part surfaces are either machined themselves, or are produced by tools with surfaces that are precisely machined. The book goes on to explain specific methods, such as derivation of planar characteristic curves based on Plücker conoid constructed at a point of the part surface, and that analytical description of part surface is vital for surfaces machined using CNC technology, and especially so for multi-axes NC machines. Providing readers with a powerful tool for analytical description of part surfaces machined on conventional machine tools and numerically controlled machines, this book maximizes understanding on optimal treatment of part surfaces to meet the requirements of today’s high tech industry.

A Modern View of Geometry
A Modern View of Geometry

Author: Leonard M. Blumenthal

Publisher: Courier Dover Publications

Published: 2017-04-19

Total Pages: 209

ISBN-13: 0486821137

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Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.

A Treatise on the Differential Geometry of Curves and Surfaces
A Treatise on the Differential Geometry of Curves and Surfaces

Author: Luther Pfahler Eisenhart

Publisher: Courier Corporation

Published: 2013-04-25

Total Pages: 496

ISBN-13: 0486159469

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Created especially for graduate students by a leading writer on mathematics, this introduction to the geometry of curves and surfaces concentrates on problems that students will find most helpful.

Classical Algebraic Geometry
Classical Algebraic Geometry

Author: Igor V. Dolgachev

Publisher: Cambridge University Press

Published: 2012-08-16

Total Pages: 653

ISBN-13: 1139560786

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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.