Products in Geometry
|Famous Problems of Geometry and How to Solve Them |
by Benjamin Bold
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
|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.
|Fractals Everywhere: New Edition |
by Michael F. Barnsley
Up-to-date text focuses on how fractal geometry can be used to model real objects in the physical world, with an emphasis on fractal applications. Includes solutions, hints, and a bonus CD.
|Fundamental Concepts of Geometry |
by Bruce E. Meserve
Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.
|Geometric Integration Theory |
by Hassler Whitney
Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. 1957 edition.
|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.
|Geometry and Symmetry |
by Paul B. Yale
Introduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level.
|Geometry and the Visual Arts |
by Dan Pedoe
This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists and scientists. It also surveys projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.
|Geometry from Euclid to Knots |
by Saul Stahl
This text provides a historical perspective on plane geometry and covers non-neutral Euclidean geometry, circles and regular polygons, projective geometry, symmetries, inversions, informal topology, and more. Includes 1,000 practice problems. Solutions available. 2003 edition.
|The Geometry of Art and Life |
by Matila Ghyka
This classic study probes the geometric interrelationships between art and life in dissertations by Plato, Pythagoras, and Archimedes and examples of modern architecture and art. 80 plates and 64 figures.
|Geometry of Classical Fields |
by Ernst Binz, Jedrzej Sniatycki, Hans Fischer
A canonical quantization approach to classical field theory, this text includes an introduction to differential geometry, the theory of Lie groups, and covariant Hamiltonian formulation of field theory. 1988 edition.
|Geometry of Complex Numbers |
by Hans Schwerdtfeger
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "This book should be in every library, and every expert in classical function theory should be familiar with this material." — Mathematical Review.
|The Geometry of Geodesics |
by Herbert Busemann
A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature on geodesics, more. 1955 edition. Includes 66 figures.
|Geometry: A Comprehensive Course |
by Dan Pedoe
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
|Introduction to Differentiable Manifolds |
by Louis Auslander, Robert E. MacKenzie
This text presents basic concepts in the modern approach to differential geometry. Topics include Euclidean spaces, submanifolds, and abstract manifolds; fundamental concepts of Lie theory; fiber bundles; and multilinear algebra. 1963 edition.
|An Introduction to Differential Geometry |
by T. J. Willmore
This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.
|Introduction to Non-Euclidean Geometry |
by Harold E. Wolfe
College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry. Numerous exercises. 1945 edition.
|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.