New PDF release: Geometry IV: Non-regular Riemannian Geometry (Encyclopaedia

By Yu.G. Reshetnyak,E. Primrose,V.N. Berestovskij,I.G. Nikolaev

This booklet includes surveys on smooth examine into non-regular Riemannian geometry, performed generally by way of Russian mathematicians. assurance examines two-dimensional Riemannian manifolds of bounded curvature and metric areas whose curvature lies among given constants. This publication may be immensely priceless to graduate scholars and researchers in geometry, specifically Riemannian geometry.

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Geometry from Euclid to Knots (Dover Books on Mathematics) - download pdf or read online

By Saul Stahl

Designed to notify readers concerning the formal improvement of Euclidean geometry and to organize potential highschool arithmetic teachers to coach Euclidean geometry, this article heavily follows Euclid's vintage, Elements. The textual content augments Euclid's statements with acceptable ancient observation and plenty of workouts — greater than 1,000 perform workouts supply readers with hands-on adventure in fixing geometrical difficulties.
In addition to delivering a ancient viewpoint on aircraft geometry, this article covers non-Euclidean geometries, permitting scholars to domesticate an appreciation of axiomatic structures. extra themes contain circles and normal polygons, projective geometry, symmetries, inversions, knots and hyperlinks, graphs, surfaces, and casual topology. This republication of a well-liked textual content is considerably more cost-effective than past variations and provides a brand new Preface via the author.

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Boris Pritsker's Geometrical Kaleidoscope (Dover Books on Mathematics) PDF

By Boris Pritsker

A highschool direction in geometry and a few interest and exuberance for the topic are the single must haves for tackling this unique exploration into the sphere, lengthy a favourite for readers whose curiosity in math isn't only practical and academic, but in addition leisure. The ebook facilities on geometric thinking—what it capability, how one can enhance it, and the way to acknowledge it. Readers will become aware of attention-grabbing insights into many points of geometry and geometrical homes and theorems, together with such vintage examples as Archimedes' legislation of the lever, Euler's line and circle properties, Fagnano's challenge, and Napoleon's theorem.
The quantity is split into sections on person subject matters akin to "Medians of a Triangle," and "Area of a Quadrilateral." Chapters commonly start with a few fascinating geometrical heritage, a few proper theorems, and a few labored examples of difficulties by way of difficulties for readers to determine for themselves (solutions are supplied on the finish of the book). the result's a many-faceted exploration, a bit like a kaleidoscope, targeting the mysteries and the pleasures of geometry.

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Download PDF by Joan Gill Blank: Key Biscayne: A History of Miami's Tropical Island and the

By Joan Gill Blank

simply south of Miami seashore lies the southernmost sand barrier island of the continental United States—Key Biscayne. lengthy the logo of an idyllic, barefoot, island way of life, this swirl of sand, five miles lengthy through 1 0.5 miles vast, is the topic of this lucid background, which starts 4,000 years in the past and keeps via its discovery by way of Ponce de Leon, its use as an army and lighthouse reservation, the Seminole Wars, shipwreck salvaging, and its current functionality as public parkland and home and high-rise condo village. On Cape Florida, Key Biscayne’s southern finish, the Cape Florida Lighthouse, newly restored, stands watch because it has for over one hundred seventy years. Drawing from unique files, together with many letters and images stored by way of descendants of settlers and lighthouse keepers, Key Biscayne deals a bright portrait of this compelling Florida island.

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