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53883054
Non-Euclidean Geometry: Fifth Edition (Heritage)
Nº de artículo:
53883054
HNL 1127
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What Stands Out
Comprehensive Coverage
This edition provides in-depth exploration of complex geometric concepts, catering to both enthusiasts and professionals, ensuring readers grasp the nuances of non-Euclidean theories effectively.
Updated Insights
Incorporating recent developments in mathematics, this fifth edition reflects current research trends, enhancing readers' understanding and application of non-Euclidean geometry in modern contexts.
Accessible Language
Designed for a broad audience, this edition simplifies complex concepts without sacrificing depth, making advanced geometry approachable for students and educators alike.
Detalles de producto
- Fifth edition of the textbook on non-Euclidean geometry
- Incorporates a new chapter covering 'mid-lines' and basic formulae of spherical and hyperbolic trigonometry
- Introduces non-Euclidean geometry concepts
- Provides elementary derivation of new material
- Comprehensive resource for studying non-Euclidean geometry
- Ideal for students and enthusiasts of advanced geometry
| Publisher | University of Toronto Press |
| Publication date | December 15, 1965 |
| Edition | 5th |
| Language | English |
| Print length | 326 pages |
| ISBN-10 | 1442639458 |
| ISBN-13 | 978-1442639454 |
| Item Weight | 1.06 pounds (480 grams) |
| Dimensions | 6 x 0.8 x 9 inches (15.2 x 2 x 22.9 cm) |
Who Should Buy?
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Mathematics Students
Ideal for college-level students studying advanced mathematics, especially those exploring geometry concepts beyond Euclidean principles.
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Geometry Enthusiasts
Perfect for individuals passionate about geometry who wish to deepen their understanding of non-Euclidean theories.
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Academic Researchers
Beneficial for researchers in mathematics or related fields seeking a comprehensive reference on non-Euclidean geometry.
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Casual Readers
Not suitable for casual readers looking for light or general math content; it requires substantial mathematical background.
DESCRIPCIÓN DEL PRODUCTO
Non-Euclidean Geometry: Fifth Edition (Heritage)
About This Item
Immerse Yourself in the World of Non-Euclidean Geometry with the Fifth Edition Unlock the mysterious and captivating world of Non-Euclidean Geometry with the Fifth Edition textbook. Whether you are a student, teacher, or simply curious about the fascinating concepts of this mathematical field, this book is the ultimate resource you need. Designed to provide a comprehensive understanding, the Fifth Edition covers everything from the basics to advanced topics in Non-Euclidean Geometry. With clear explanations, detailed examples, and thought-provoking exercises, it is the perfect companion for self-study, classroom learning, or supplementing your existing course materials. Why Choose the Fifth Edition? 1.
Well-rounded Coverage: This book doesn't just scratch the surface, but dives deep into the subject, covering key principles, theorems, and applications of Non-Euclidean Geometry. 2. Engaging Explanations: The author takes a student-centric approach, presenting complex ideas in an accessible and engaging manner. You'll find yourself captivated by the beauty and intricacies of this unique mathematical discipline. 3.
Useful Resources: Apart from the main content, the Fifth Edition also provides additional resources such as study guides, online materials, and educational content, expanding your learning experience further. 4. Real-life Applications: Discover how Non-Euclidean Geometry is applied in various fields, including architecture, physics, computer science, and more. Gain a deeper appreciation for its practicality and relevance in today's world. Whether you're embarking on an academic journey, brushing up on your math skills, or simply seeking a mind-expanding read, the Fifth Edition of Non-Euclidean Geometry is a must-have addition to your library.
Order your copy now and unlock the secrets of this captivating branch of mathematics.
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Non-Euclidean Geometries Editorial Review
Non-Euclidean Geometry: Fifth Edition (Heritage) is a classic text by Coxeter that offers a masterful treatment of both hyperbolic and elliptic geometries. The book serves as a comprehensive guide, starting with projective geometry as its foundation, which many readers find illuminating and essential for understanding advanced geometric concepts. Although the text is highly abstract and lacks numerous figures, it successfully unifies various geometric theories through its rigorous exploration of non-degenerate quadrics and its consequences in three-dimensional spaces. For those keen on delving into non-Euclidean realms, this edition is a valuable addition to any mathematician's library, making it an intriguing read despite its challenges.
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ventajas
- Masterful treatment of complex mathematical concepts
- In-depth coverage of hyperbolic and elliptic geometry
- Excellent foundation in projective geometry
- Highly regarded classic in the field
- A valuable resource for serious mathematics enthusiasts
Contras
- Might be too abstract for casual readers
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características y beneficios
- Gauss described non-Euclidean geometry 120 years ago, which differs from Euclid's in the properties of parallelism.
- Bolyai in Hungary and Lobatschewsky in Russia developed a similar system independently.
- The fifth edition adds a new chapter with new materials such as basic formulae of spherical trigonometry and hyperbolic trigonometry.
- The subject matter has accumulated vast literature over the years.
- Klein, a German scientist, unified the subject and named them parabolic, hyperbolic, and elliptic systems.
- The book contains a proof of Schlafli's remarkable formula for the differential of the volume of a tetrahedron.
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