Geometry and Discrete Mathematics : A Selection of Highlights /

This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinati...

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Bibliographische Detailangaben
Hauptverfasser: Fine, Benjamin (VerfasserIn), Gaglione, Anthony (VerfasserIn), Moldenhauer, Anja (VerfasserIn), Rosenberger, Gerhard (VerfasserIn), Spellman, Dennis (VerfasserIn)
Format: E-Book
Sprache:Englisch
Veröffentlicht: Berlin ; Boston : De Gruyter, 2018
Schriftenreihe:De Gruyter Textbook
Schlagworte:
ISBN:9783110521504
Online-Zugang: Volltext
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100 1 |a Fine, Benjamin,  |4 aut. 
245 1 0 |a Geometry and Discrete Mathematics :  |b A Selection of Highlights /  |c Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman. 
260 |a Berlin ;  |a Boston :   |b De Gruyter,   |c 2018 
300 |a 1 online resource (296 p.) 
490 0 |a De Gruyter Textbook 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1. Geometry and geometric ideas --   |t 2. Isometries in Euclidean vector spaces and their classification in Rn --   |t 3. The conic sections in the Euclidean plane --   |t 4. Special groups of planar isometries --   |t 5. Graph theory and platonic solids --   |t 6. Linear fractional transformation and planar hyperbolic geometry --   |t 7. Combinatorics and combinatorial problems --   |t 8. Finite probability theory and Bayesian analysis --   |t 9. Boolean lattices, Boolean algebras and Stone's theorem --   |t Bibliography --   |t Index 
516 |a text file PDF 
520 |a This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinating subject with many ties between the diverse mathematical disciplines. The present volume examines many of the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. ContentsGeometry and geometric ideasIsometries in Euclidean vector spaces and their classification in RnThe conic sections in the Euclidean planeSpecial groups of planar isometriesGraph theory and platonic solidsLinear fractional transformation and planar hyperbolic geometryCombinatorics and combinatorial problemsFinite probability theory and Bayesian analysisBoolean lattices, Boolean algebras and Stone's theorem  
650 0 |a Computer science  |x Mathematics  |v Textbooks. 
650 0 |a Geometry  |v Textbooks. 
650 4 |a Analytische Geometrie. 
650 4 |a Euklidische Geometrie. 
650 4 |a Kombinatorik. 
650 4 |a Nichteuklidische Geometrie. 
650 4 |a Wahrscheinlichkeitstheorie. 
650 7 |a MATHEMATICS / Geometry / General.  |2 bisacsh 
653 |a matematika 
653 |a geometria 
700 1 |a Gaglione, Anthony,   |4 aut. 
700 1 |a Moldenhauer, Anja,   |4 aut. 
700 1 |a Rosenberger, Gerhard,   |4 aut. 
700 1 |a Spellman, Dennis,   |4 aut. 
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