|Fearful Symmetry: Is God a Geometer? |
by Ian Stewart, Martin Golubitsky
From the shapes of clouds to dewdrops on a spider's web, this accessible book employs the mathematical concepts of symmetry to portray fascinating facets of the physical and biological world. More than 120 illustrations.
|Symmetry in Chemistry |
by Hans H. Jaffé, Milton Orchin
Developed in an essentially nonmathematical way, this text covers symmetry elements and operations, multiple symmetry operations, multiplication tables and point groups, group theory applications, and crystal symmetry. 1977 edition.
|Symmetry Principles in Solid State and Molecular Physics |
by Melvin Lax
High-level text applies group theory to physics problems, develops methods for solving molecular vibration problems and for determining the form of crystal tensors, develops translational properties of crystals, more. 1974 edition.
|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.
|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.
|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.
|Challenging Problems in Geometry |
by Alfred S. Posamentier, Charles T. Salkind
Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency, and more. Arranged in order of difficulty. Detailed solutions.
|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.
|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.
|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.
|Excursions in Geometry |
by C. Stanley Ogilvy
A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
|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.
|From Geometry to Topology |
by H. Graham Flegg
Introductory text for first-year math students uses intuitive approach, bridges the gap from familiar concepts of geometry to topology. Exercises and Problems. Includes 101 black-and-white illustrations. 1974 edition.
|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.
|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 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.
|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 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.
|Lectures in Projective Geometry |
by A. Seidenberg
An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.
|Modern Calculus and Analytic Geometry |
by Richard A. Silverman
Highly readable, self-contained text provides clear explanations for students at all levels of mathematical proficiency. Over 1,600 problems, many with detailed answers. Corrected 1969 edition. Includes 394 figures. Index.
|A Modern View of Geometry |
by Leonard M. Blumenthal
Elegant exposition of the postulation geometry of planes, including coordination of affine and projective planes. Historical background, set theory, propositional calculus, affine planes with Desargues and Pappus properties, much more. Includes 56 figures.
|Problems and Solutions in Euclidean Geometry |
by M. N. Aref, William Wernick
Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. More than 200 problems include hints and solutions. 1968 edition.
|Proof in Geometry: With "Mistakes in Geometric Proofs" |
by A. I. Fetisov, Ya. S. Dubnov
This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.
|A Vector Space Approach to Geometry |
by Melvin Hausner
This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.