Download E-books Hyperbolic Functions: with Configuration Theorems and Equivalent and Equidecomposable Figures (Dover Books on Mathematics) PDF

By V. G. Shervatov

This single-volume compilation of 3 books facilities on Hyperbolic Functions, an advent to the connection among the hyperbolic sine, cosine, and tangent, and the geometric homes of the hyperbola. the advance of the hyperbolic services, as well as these of the trigonometric (circular) services, appears to be like in parallel columns for comparability. A concluding bankruptcy introduces common logarithms and provides analytic expressions for the hyperbolic functions.
The moment booklet, Configuration Theorems, calls for in simple terms the main straight forward heritage in aircraft and stable geometry. It discusses numerous fascinating theorems on collinear issues and concurrent traces, exhibiting their purposes to a number of functional geometric difficulties, and therefore introducing sure basic strategies of projective geometry. Equivalent and Equidecomposable Figures, the ultimate ebook, discusses the mathematical stipulations of dissecting a given polyhedron right into a finite variety of items and reassembling them into one other given polyhedron.

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