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Recommendations... Foundations of Geometry
by C. R. Wylie, Jr.
Geared toward students preparing to teach high school mathematics, this text explores the principles of Euclidean and non-Euclidean geometry and covers both generalities and specifics of the axiomatic method. 1964 edition.
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| |  Geometry and Convexity: A Study in Mathematical Methods
by Paul J. Kelly, Max L. Weiss
This text assumes no prerequisites, offering an easy-to-read treatment with simple notation and clear, complete proofs. From motivation to definition, its explanations feature concrete examples and theorems. 1979 edition.
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 Introduction to Projective Geometry
by C. R. Wylie, Jr.
This introductory volume offers strong reinforcement for its teachings, with detailed examples and numerous theorems, proofs, and exercises, plus complete answers to all odd-numbered end-of-chapter problems. 1970 edition.
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| |  Invitation to Geometry
by Z. A. Melzak
Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. 1983 edition.
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 Geometry, Relativity and the Fourth Dimension
by Rudolf Rucker
Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
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| |  Taxicab Geometry: An Adventure in Non-Euclidean Geometry
by Eugene F. Krause
Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.
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 Differential Geometry
by Erwin Kreyszig
An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.
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Products in Geometry | | |  | Advanced Euclidean Geometry
by Roger A. Johnson
This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition.
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|  | Algebraic Geometry
by Solomon Lefschetz
An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition.
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|  | Analytical Conics
by Barry Spain
This concise text introduces analytical geometry, covering basic ideas and methods. An invaluable preparation for more advanced treatments, it features solutions to many of its problems. 1957 edition.
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|  | Analytical Geometry of Three Dimensions
by William H. McCrea
Geared toward advanced undergraduates and graduate students, this text covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations, quadric in Cartesian coordinates, and intersection of quadrics. 1947 edition.
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|  | The Beauty of Geometry: Twelve Essays
by H. S. M. Coxeter
Absorbing essays demonstrate the charms of mathematics. Stimulating and thought-provoking treatment of geometry's crucial role in a wide range of mathematical applications, for students and mathematicians.
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| | |  | Convex Surfaces
by Herbert Busemann
This exploration of convex surfaces focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. It also examines intrinsic geometry and the realization of intrinsic metrics. 1958 edition.
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|  | Coordinate Geometry
by Luther Pfahler Eisenhart
This volume affords exceptional insights into coordinate geometry. Covers invariants of conic sections and quadric surfaces; algebraic equations on the 1st degree in 2 and 3 unknowns; and more. Over 500 exercises. 1939 edition.
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|  | A Course in the Geometry of n Dimensions
by M. G. Kendall
This text provides a foundation for resolving proofs dependent on n-dimensional systems. The author takes a concise approach, setting out that part of the subject with statistical applications and briefly sketching them. 1961 edition.
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|  | Curvature and Homology: Enlarged Edition
by Samuel I. Goldberg
Systematic, self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. "A valuable survey." — Nature. 1962 edition.
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|  | Curvature in Mathematics and Physics
by Shlomo Sternberg
Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
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|  | The Curves of Life
by Theodore A. Cook
Classic examination of the function of the spiral, or helix, in nature and art examines shells, leaves, human body, drawings of Leonardo, Leaning Tower of Pisa. 1914 edition. 426 illustrations.
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|  | Differential Geometric Structures
by Walter A. Poor
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.
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|  | Differential Geometry
by K. L. Wardle
Elementary account covers curvature and torsion, involutes and evolutes, curves on a surface, curvature of surfaces, and developable and ruled surfaces. Numerous problems include complete solutions. 1965 edition.
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|  | Differential Geometry
by Heinrich W. Guggenheimer
This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.
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| | Differential Geometry
by Erwin Kreyszig
An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.
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|  | Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces
by Richard Courant
An examination of approaches to easy-to-understand but difficult-to-solve mathematical problems, this classic text explores conformal mapping on parallel-slit domains, Plateau's problem, the general problem of Douglas, more. 1950 edition.
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|  | The Elements of Non-Euclidean Geometry
by D. M.Y. Sommerville
Renowned for its lucid yet meticulous exposition, this classic allows students to follow the development of non-Euclidean geometry from a fundamental analysis of the concept of parallelism to more advanced topics. 1914 edition. Includes 133 figures.
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|  | Euclidean Geometry and Transformations
by Clayton W. Dodge
This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.
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