Search Results for "book-of-curves"

Book of Curves

Book of Curves

  • Author: E. H. Lockwood
  • Publisher: Cambridge University Press
  • ISBN: 0521044448
  • Category: Mathematics
  • Page: 212
  • View: 9946
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This book examines the shape of curves and their mathematical relationships.

Book of beautiful curves

Book of beautiful curves

  • Author: Prof Sebastian Vattamattam
  • Publisher: D C Books
  • ISBN: 9384786217
  • Category: Mathematics
  • Page: 83
  • View: 1368
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Book of beautiful curves with an introduction to functional theoretic algebras

A Book of Curves

A Book of Curves

  • Author: Edward Harrington Lockwood
  • Publisher: N.A
  • ISBN: N.A
  • Category: Curves
  • Page: 198
  • View: 2107
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A Book of Curves

A Book of Curves

  • Author: Edward Harrington Lockwood
  • Publisher: N.A
  • ISBN: N.A
  • Category: Curves
  • Page: 198
  • View: 5954
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A Book of Curves

A Book of Curves

  • Author: Edward Harrington Lockwood
  • Publisher: N.A
  • ISBN: N.A
  • Category: Curves
  • Page: 198
  • View: 6469
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Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces

  • Author: Masaaki Umehara,Kotaro Yamada
  • Publisher: World Scientific Publishing Company
  • ISBN: 9814740268
  • Category:
  • Page: 328
  • View: 8995
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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 first half of the text is suitable for a university-level course, without the need for referencing other texts, as it is completely self-contained. More advanced material in the second half of the book, including appendices, also serves more experienced students well. Furthermore, this text is also suitable for a seminar for graduate students, and for self-study. It is written in a robust style that gives the student the opportunity to continue his study at a higher level beyond what a course would usually offer. Further material is included, for example, closed curves, enveloping curves, curves of constant width, the fundamental theorem of surface theory, constant mean curvature surfaces, and existence of curvature line coordinates. Surface theory from the viewpoint of manifolds theory is explained, and encompasses higher level material that is useful for the more advanced student. This includes, but is not limited to, indices of umbilics, properties of cycloids, existence of conformal coordinates, and characterizing conditions for singularities. In summary, this textbook succeeds in elucidating detailed explanations of fundamental material, where the most essential basic notions stand out clearly, but does not shy away from the more advanced topics needed for research in this field. It provides a large collection of mathematically rich supporting topics. Thus, it is an ideal first textbook in this field. Request Inspection Copy

Differential Geometry of Curves and Surfaces

Differential Geometry of Curves and Surfaces

  • Author: Kristopher Tapp
  • Publisher: Springer
  • ISBN: 3319397990
  • Category: Mathematics
  • Page: 366
  • View: 6614
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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 examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concise, rigorous development of the topic including the deep global theorems. For the benefit of all readers, the author employs various techniques to render the difficult abstract ideas herein more understandable and engaging. Over 300 color illustrations bring the mathematics to life, instantly clarifying concepts in ways that grayscale could not. Green-boxed definitions and purple-boxed theorems help to visually organize the mathematical content. Color is even used within the text to highlight logical relationships. Applications abound! The study of conformal and equiareal functions is grounded in its application to cartography. Evolutes, involutes and cycloids are introduced through Christiaan Huygens' fascinating story: in attempting to solve the famous longitude problem with a mathematically-improved pendulum clock, he invented mathematics that would later be applied to optics and gears. Clairaut’s Theorem is presented as a conservation law for angular momentum. Green’s Theorem makes possible a drafting tool called a planimeter. Foucault’s Pendulum helps one visualize a parallel vector field along a latitude of the earth. Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface. In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book. The GPS in any car wouldn’t work without general relativity, formalized through the language of differential geometry. Throughout this book, applications, metaphors and visualizations are tools that motivate and clarify the rigorous mathematical content, but never replace it.

Geometry of Curves

Geometry of Curves

  • Author: J.W. Rutter
  • Publisher: CRC Press
  • ISBN: 9781584881667
  • Category: Mathematics
  • Page: 384
  • View: 9246
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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 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.

An Elementary Treatise on Curves, Functions, and Forces: Calculus of imaginary quantities, residual calculus, and integral calculus

An Elementary Treatise on Curves, Functions, and Forces: Calculus of imaginary quantities, residual calculus, and integral calculus

  • Author: Benjamin Peirce
  • Publisher: N.A
  • ISBN: N.A
  • Category: Calculus
  • Page: N.A
  • View: 2638
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