A Comprehensive Introduction to Differential Geometry, Vol. 4, 3rd Edition
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A Comprehensive Introduction to Differential Geometry, Volume Four, Third Edition by Michael Spivak is an essential resource for advanced students and researchers in mathematics.
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- A Comprehensive Introduction to Differential Geometry, Volume Four, Third Edition by Michael Spivak, published by Publish or Perish, Inc. in 1999, is an advanced mathematical text focusing on differential geometry. This volume, part of a five-volume series, delves into higher dimensions and codimensions, curves in Riemannian manifolds, and the fundamental equations for submanifolds. Key features of this volume include a detailed exploration of constant curvature manifolds, comprehensive treatment of curves in Riemannian manifolds, and in-depth discussion of the fundamental equations for submanifolds. The book extensively uses orthonormal moving frames and connection forms, providing rigorous proofs and theorems such as Beltrami's Theorem and the Ricci Equations. This volume is ideal for advanced students and researchers in mathematics, providing a thorough understanding of differential geometry's higher-dimensional aspects. It includes detailed mathematical formulations and proofs to support the presented concepts, making it an essential resource for those studying or working in the field of differential geometry. Daha fazla göster
| Yayıncı | Publish or Perish |
| Yayınlanma Tarihi | 1 Ocak 1999 |
| Baskı | 3. |
| Dil | İngilizce |
| ISBN-10 | 091409873X |
| ISBN-13 | 978-0914098737 |
| Boyutlar | 24.13 x 16.51 x 2.54 cm |
Product Description
A Comprehensive Introduction to Differential Geometry, Vol. 4, 3rd Edition
About This Item
Discover the captivating world of differential geometry with "A Comprehensive Introduction to Differential Geometry, Vol. 4, 3rd Edition" – a must-have textbook for both beginners and advanced learners. This hardcover edition, released on January 1, 1999, is packed with in-depth explanations, extensive examples, and comprehensive exercises to help you gain a firm understanding of differential geometry concepts. Whether you're a mathematics enthusiast, a student, or a professional in the field, this book covers a wide range of topics in differential geometry.
From the basics to advanced principles, you'll explore the intricate world of curves, surfaces, manifolds, and much more. What sets this textbook apart is its clear and concise approach to presenting complex concepts. The author ensures that readers grasp the fundamentals before delving into more advanced topics. You'll find elegant explanations, detailed proofs, and practical applications throughout the book to solidify your understanding. The third edition of this book builds upon the previous editions, incorporating new research, updated examples, and additional exercises.
This ensures that you stay up to date with the latest advancements in differential geometry. With its sturdy hardcover binding, this book is designed to withstand heavy use and will last for years to come. Its compact size makes it easy to carry, allowing you to study anywhere, whether it's at home, in the library, or on the go. Whether you're studying for an exam, conducting research, or simply expanding your knowledge, "A Comprehensive Introduction to Differential Geometry, Vol. 4, 3rd Edition" is your key to mastering this fascinating field.
Order your copy today and unlock the secrets of differential geometry.
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İngilizce Baskı Michael Spivak Format: Ciltli Kapak Editorial Review
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Features & Benefits
- Advanced text on differential geometry focusing on higher dimensions.
- Includes detailed exploration of constant curvature manifolds.
- Comprehensive treatment of curves in Riemannian manifolds.
- In-depth discussion on fundamental equations for submanifolds.
- Rigorous proofs and theorems enhance understanding of concepts.
- Perfect for advanced students and researchers in the field.
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