Hyperbolic Functions
Hyperbolic Functions by V. G. Shervatov is an illustrated edition published by Courier Corporation in January 2007, comprising 68 pages in English. This book serves as a comprehensive introduction to hyperbolic functions, detailing the relationships between hyperbolic sine, cosine, and tangent, alongside the geometric properties of the hyperbola. It presents the development of hyperbolic functions in parallel with trigonometric functions, allowing for direct comparison.
Readers will find a structured exploration of three key topics. The first section focuses on hyperbolic functions and their analytic expressions, while the second book, Configuration Theorems, introduces fundamental concepts in geometry, discussing theorems related to collinear points and concurrent lines. The final section, Equivalent and Equidecomposable Figures, examines the conditions necessary for dissecting and reassembling polyhedra. This compilation provides insights into mathematics, differential equations, and geometry, making it a valuable resource for those interested in these subjects.
Official synopsis Publisher
This single-volume compilation of three books centers on Hyperbolic Functions, an introduction to the relationship between the hyperbolic sine, cosine, and tangent, and the geometric properties of the hyperbola. The development of the hyperbolic functions, in addition to those of the trigonometric (circular) functions, appears in parallel columns for comparison. A concluding chapter introduces natural logarithms and presents analytic expressions for the hyperbolic functions.
The second book, Configuration Theorems, requires only the most elementary background in plane and solid geometry. It discusses several interesting theorems on collinear points and concurrent lines, showing their applications to several practical geometric problems, and thus introducing certain fundamental concepts of projective geometry. Equivalent and Equidecomposable Figures, the final book, discusses the mathematical conditions of dissecting a given polyhedron into a finite number of pieces and reassembling them into another given polyhedron.
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