Geometry of Curves Book [PDF] Download

Download the fantastic book titled Geometry of Curves written by J.W. Rutter, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "Geometry of Curves", which was released on 03 October 2018. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.

Summary of Geometry of Curves by J.W. Rutter PDF

Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians. However, many of the subject's more exciting aspects require a somewhat advanced mathematics background. For the "fun stuff" to be accessible, we need to offer students an introduction with modest prerequisites, one that stimulates their interest and focuses on problem solving. Integrating parametric, algebraic, and projective curves into a single text, Geometry of Curves offers students a unique approach that provides a mathematical structure for solving problems, not just a catalog of theorems. The author begins with the basics, then takes students on a fascinating journey from conics, higher algebraic and transcendental curves, through the properties of parametric curves, the classification of limaçons, envelopes, and finally to projective curves, their relationship to algebraic curves, and their application to asymptotes and boundedness. The uniqueness of this treatment lies in its integration of the different types of curves, its use of analytic methods, and its generous number of examples, exercises, and illustrations. The result is a practical text, almost entirely self-contained, that not only imparts a deeper understanding of the theory, but inspires a heightened appreciation of geometry and interest in more advanced studies.


Detail About Geometry of Curves PDF

  • Author : J.W. Rutter
  • Publisher : CRC Press
  • Genre : Mathematics
  • Total Pages : 381 pages
  • ISBN : 1482285673
  • PDF File Size : 29,8 Mb
  • Language : English
  • Rating : 4/5 from 21 reviews

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Geometry of Curves

Geometry of Curves
  • Publisher : CRC Press
  • File Size : 50,5 Mb
  • Release Date : 03 October 2018
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Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians. However, many of the

Curves and Surfaces

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  • Publisher : Springer Science & Business Media
  • File Size : 30,8 Mb
  • Release Date : 11 June 2012
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The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in

Parametric Geometry of Curves and Surfaces

Parametric Geometry of Curves and Surfaces
  • Publisher : Springer Nature
  • File Size : 33,8 Mb
  • Release Date : 06 September 2021
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This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements. Geometric elements in architecture respond

Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces
  • Publisher : Springer
  • File Size : 24,8 Mb
  • Release Date : 30 September 2016
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This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of

Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces
  • Publisher : Springer Science & Business Media
  • File Size : 49,8 Mb
  • Release Date : 10 September 2006
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Central topics covered include curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov global angle comparision theorem Many nontrivial and original problems (some with hints and solutions) Standard theoretical material is

Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces
  • Publisher : World Scientific Publishing Company
  • File Size : 29,9 Mb
  • Release Date : 12 May 2017
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This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject. The

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The Advanced Geometry of Plane Curves and Their Applications
  • Publisher : Courier Corporation
  • File Size : 48,6 Mb
  • Release Date : 30 November 2011
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"Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of

Rigid Geometry of Curves and Their Jacobians

Rigid Geometry of Curves and Their Jacobians
  • Publisher : Springer
  • File Size : 47,6 Mb
  • Release Date : 26 January 2016
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This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties -

Differential Geometry

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  • Publisher : American Mathematical Soc.
  • File Size : 54,9 Mb
  • Release Date : 19 May 2024
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Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about line and surface