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Principles and Problems of Plane Geometry with Coordinate Geometry
This classic volume from the Schaum's Outline Series is designed to supplement standard high school and college geometry courses. It features 850 fully solved problems that provide step-by-step guidance on core topics, including lines, angles, triangles, parallel lines, and circles. A distinct focus is placed on coordinate (analytic) geometry, integrating algebraic methods with traditional geom…
- Edition
- 1st
- ISBN/ISSN
- 0070522456
- Collation
- -
- Series Title
- -
- Call Number
- 516.05 R498
Notes on Geometry
This textbook, part of the Universitext series, is designed to bridge the gap between classical geometry and modern undergraduate mathematics. It treats the foundational topics of Euclidean, projective, and hyperbolic geometry using tools familiar to university students, such as linear algebra, group theory, and metric spaces. Based on a course at the University of Edinburgh, the text aims to d…
- Edition
- 1st
- ISBN/ISSN
- 354012053X
- Collation
- -
- Series Title
- -
- Call Number
- 516 R328
A Course of Geometry for Colleges and Universities
This textbook, later reprinted by Dover as Geometry: A Comprehensive Course, is a lucid and masterly survey of the geometry typically included in undergraduate mathematics programs. Based on a course taught by Professor Pedoe at the University of Minnesota, the text aims to increase mathematical understanding and enjoyment through a rigorous yet accessible approach. Key topics include the use o…
- Edition
- 1st
- ISBN/ISSN
- 0521076382
- Collation
- -
- Series Title
- -
- Call Number
- 516 P371
Excursions in Advanced Euclidean Geometry
This textbook is designed to expand geometric knowledge beyond the standard secondary school curriculum. It introduces advanced topics such as concurrency, collinearity, and properties of circles and quadrilaterals (including the nine-point circle and Simson line) through a series of "excursions" that build upon familiar Euclidean principles. By focusing on problem-solving and proofs, the book …
- Edition
- Revised Edition
- ISBN/ISSN
- 0201203596
- Collation
- P855
- Series Title
- -
- Call Number
- -
Differential Geometric Structures
This textbook serves as a rigorous introduction to differential geometry, specifically designed for independent study or as a comprehensive reference work. Walter Poor defines geometric structures by specifying the parallel transport within an appropriate fiber bundle, focusing on linear parallel transport in its simplest forms. The text moves from an introductory overview of fiber bundles into…
- Edition
- 1st
- ISBN/ISSN
- 0070504350
- Collation
- -
- Series Title
- -
- Call Number
- 516.76 P823
Plane Algebraic Curves: An Introduction Via Valuations
This textbook provides a rigorous introduction to the classical subject of plane algebraic curves by utilizing the modern framework of valuation theory. Part of the Pure and Applied Mathematics series, it bridges the gap between elementary geometry and advanced algebraic concepts like algebraic varieties, adeles, and morphisms. The authors focus on providing a self-contained treatment suitable …
- Edition
- 1st
- ISBN/ISSN
- 0824711599
- Collation
- -
- Series Title
- -
- Call Number
- 516.352 O63
Solid Geometry
Originally published during World War II, this textbook was designed to provide a concise and practical introduction to three-dimensional geometry. It focuses on the fundamental properties of lines, planes, and solids in space, such as prisms, pyramids, cylinders, cones, and spheres. The text is notable for its clear, logical progression and its emphasis on computational problems and applicatio…
- Edition
- 1st
- ISBN/ISSN
- 0442047444
- Collation
- -
- Series Title
- -
- Call Number
- 516.06 L5291
Introduction to Algebraic Geometry
This volume offers a rapid and self-contained introductory approach to the algebraic aspects of algebraic geometry, defined by Lang as the study of systems of algebraic equations in several variables and the structures formed by their solutions. Originally published in 1958, this 1972 printing serves as an amplification of lectures based on the Weil-Zariski approach. The text covers foundationa…
- Edition
- -
- ISBN/ISSN
- 0201041642
- Collation
- -
- Series Title
- -
- Call Number
- 516.35 L271
Geometry: A High School Course
This textbook offers a unique and rigorous approach to secondary school geometry, written by the renowned mathematician Serge Lang and experienced teacher Gene Murrow. Departing from the standard "two-column proof" format common in many American high schools, this text emphasizes logical reasoning and the relationship between geometry and algebra. It introduces topics such as distance, area, an…
- Edition
- 1st
- ISBN/ISSN
- 0387907548
- Collation
- -
- Series Title
- -
- Call Number
- 516.3 L271
Introduction to the Foundations of Mathematics
This classic undergraduate text provides a comprehensive introduction to the fundamental concepts and methods that underpin modern mathematics. Part One explores essential tools such as the axiomatic method, set theory, the linear continuum, and the role of groups. Part Two shifts toward the philosophy and history of the field, examining major viewpoints like the Frege-Russell thesis, intuition…
- Edition
- 2nd
- ISBN/ISSN
- 0471944157
- Collation
- -
- Series Title
- -
- Call Number
- 516.2 L269
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