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fine b geometry discrete mathematics 2ed 2022

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Textbook in PDF format In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines many fundamental results in Geometry and Discrete Mathematics along with their proofs and their history. In the second edition we include a new chapter on Topological Data Analysis and enhanced the chapter on Graph Theory for solving further classical problems such as the Traveling Salesman Problem. A true collection of mathematical gems in Geometry, Graph Theory, Combinatorics, Probability Theory, Data Analysis and Boolean Lattices. Valuable for lecturers, teachers and students of mathematics as well as for all who are mathematically interested. Preface Geometry and Geometric Ideas Isometries in Euclidean Vector Spaces and their Classification in ℝn The Conic Sections in the Euclidean Plane Special Groups of Planar Isometries Graph Theory and Graph Theoretical Problems Spherical Geometry and Platonic Solids Linear Fractional Transformation and Planar Hyperbolic Geometry Simplicial Complexes and Topological Data Analysis Combinatorics and Combinatorial Problems Finite Probability Theory and Bayesian Analysis Boolean Lattices, Boolean Algebras and Stone’s Theorem Bibliography Index

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Fine B. Geometry and Discrete Mathematics...2ed 2022.pdf 6.3 MB

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fine b geometry discrete mathematics 2ed 2022

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