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Geometry

Most popular at the top

  • Projective Geometryby T. Ewan Faulkner

    Dover Publications 2013; US$ 9.95

    This text explores the methods of the projective geometry of the plane. Some knowledge of the elements of metrical and analytical geometry is assumed; a rigorous first chapter serves to prepare readers. Following an introduction to the methods of the symbolic notation, the text advances to a consideration of the theory of one-to-one correspondence.... more...

  • Non-Euclidean Geometryby Stefan Kulczycki

    Dover Publications 2012; US$ 13.95

    This accessible approach features two varieties of proofs: stereometric and planimetric, as well as elementary proofs that employ only the simplest properties of the plane. A short history of geometry precedes a systematic exposition of the principles of non-Euclidean geometry. Starting with fundamental assumptions, the author examines the theorems... more...

  • Analytical Geometry of Three Dimensionsby William H. McCrea

    Dover Publications 2012; US$ 11.95

    Brief but rigorous, this text is geared toward advanced undergraduates and graduate students. It covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations of the second degree, quadric in Cartesian coordinates, and intersection of quadrics. Mathematician, physicist, and astronomer, William H. McCrea conducted... more...

  • Proof in Geometryby A. I. Fetisov; Ya. S. Dubnov

    Dover Publications 2012; US$ 7.99

    This single-volume compilation of two books explores the construction of geometric proofs. In addition to offering useful criteria for determining correctness, it presents examples of faulty proofs that illustrate common errors. High-school geometry is the sole prerequisite. Proof in Geometry, the first in this two-part compilation, discusses the... more...

  • Algebraic Geometryby Solomon Lefschetz

    Dover Publications 2012; US$ 11.99

    This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts--the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the... more...

  • General Investigations of Curved Surfacesby Karl Friedrich Gauss; Adam Hiltebeitel; James Morehead; Peter Pesic

    Dover Publications 2013; US$ 12.95

    Gauss's theory of surfaces is among the purely mathematical achievements inspired by ideas that arose in connection with surveys of the surface of the earth. Long regarded as a masterpiece in content and form, this work features one of the author's most original contributions to mathematics--the discovery that Gauss termed the "Theorema Egregium."... more...

  • Lectures in Projective Geometryby A. Seidenberg

    Dover Publications 2012; US$ 11.99

    An ideal text for undergraduate courses in projective geometry, this volume begins on familiar ground. It starts by employing the leading methods of projective geometry as an extension of high school-level studies of geometry and algebra, and proceeds to more advanced topics with an axiomatic approach. An introductory chapter leads to discussions... more...

  • Projective Geometry and Projective Metricsby Herbert Busemann; Paul J. Kelly

    Dover Publications 2012; US$ 15.99

    The basic results and methods of projective and non-Euclidean geometry are indispensable for the geometer, and this book--different in content, methods, and point of view from traditional texts--attempts to emphasize that fact. Results of special theorems are discussed in detail only when they are needed to develop a feeling for the subject or when... more...

  • History of Analytic Geometryby Carl B. Boyer

    Dover Publications 2012; US$ 17.95

    Specifically designed as an integrated survey of the development of analytic geometry, this classic study takes a unique approach to the history of ideas. The author, a distinguished historian of mathematics, presents a detailed view of not only the concepts themselves, but also the ways in which they extended the work of each generation, from before... more...

  • Non-Riemannian Geometryby Luther Pfahler Eisenhart

    Dover Publications 2012; US$ 12.95

    Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths developed by the author, Luther Pfahler Eisenhart, and Oswald Veblen, who were faculty colleagues at Princeton University during the early twentieth century. Eisenhart played an active role in developing Princeton's preeminence among the world's centers for... more...