Synopsis
Exploring the principles that unite elliptic and hyperbolic analysis, with a fresh look at space using versors.
This book extends the theory of vector and versor analysis to elliptic and hyperbolic forms, applying them to spheres, ellipsoids, and hyperboloids while deriving complete trigonometric results for these surfaces. It presents a coherent development of the subject and its foundational theorems, including rotations and their generalized forms.
The work foregrounds how spherical, ellipsoidal, and hyperboloidal versors interact, and shows how to express product versors, excircular axes, and their components. It includes methods for forming and proving key identities in spherical and non-spherical settings, and introduces exponential series and logarithmic versors in a unified framework.- Clear, step-by-step treatment of spherical, ellipsoidal, and hyperboloidal versors
- Techniques for computing product versors and their geometric interpretations
- Explanations of excircular axes, normal planes, and related trigonometric theorems
- Connections between classical spherical trigonometry and generalized space analysis
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The Principles of Elliptic and Hyperbolic Analysis (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book explores the foundational principles of trigonometric analysis across different geometries, extending the study beyond spherical trigonometry to encompass ellipsoidal, hyperbolic, and exspherical geometries. The author provides a comprehensive investigation of trigonometric functions within these diverse geometric frameworks, delving into their properties and relationships. Through this exploration, the book reveals the underlying unity and coherence of trigonometric principles across various mathematical domains. This extended perspective offers valuable insights for mathematicians, physicists, and anyone seeking a deeper understanding of trigonometry and its applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780282917258_0
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The Principles of Elliptic and Hyperbolic Analysis (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282917258
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The Principles of Elliptic and Hyperbolic Analysis (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282917258
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