A Catalog of Special Plane Curves (Dover Books on Mathematics) by J. Dennis Lawrence (PDF)

Description

Forty years after its initial publication, this volume continues to rank among the field’s most-cited references. One of the largest and finest available collections, the catalog covers general properties of curves and types of derived curves. The curves and the values of their parameters are illustrated by nearly 90 images from a CalComp digital incremental plotter. Suitable for students and researchers in geometry and computer science, the text begins by introducing general properties of curves and types of derived curves. Subsequent chapters apply these properties to conics and polynomials, cubic and quartic curves, algebraic curves of high degree, and transcendental curves. A total of more than 60 special curves are featured, each illustrated with one or more CalComp plots containing curves in up to eight different variants. Indexes provide tables of derived curves, curve names, and a 95-item guide to further reading.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It’s a good reference book, but as opposed to A Handbook on Curves and Their Properties (Yates), this book looks at curves more from an algebraic/equation-minded perspective. The Handbook addresses them more as physical objects or plane figures, and uses equations and algebra as proof. This one has MORE curves, but hardly ever lists any interesting properties of them, and sure doesn’t explain them. Also, I do have to mention the graphs; they’re pretty good and fairly plentiful, but many times, the plotted space is NOT square, so the figure is inappropriately distorted (especially the Cycloid–it’s terrible in this book). Also, the book flat out lies and says that the Tractrix is the evolute of the Catenary, when any simpleton could tell you that it’s the other way around: a Tractrix’s evolute is a Catenary, and therefore the Tractrix is the Catenary’s INvolute. Don’t be fooled!

⭐Book was OK, but I would not rave about it.

⭐Bel libro di curve geometriche classiche, ma mi aspettavo qualche curva speciale o non ordinaria, e qualche proprieta non molto nota. Invece, niente di tutto ciò. Per giunta, sono riportati soo i risultati finali, e non i passaggi intermedi.

⭐

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