Number, shape, and symmetry : an introduction to number theory, geometry, and group theory /: an introduction to number theory, geometry, and group theory. (©2013)

• Record Type: Book
• Further Information: Note: Diane L. Herrmann, Paul J. Sally, Jr.
• Other Names: Herrmann, Diane, 1953-; Jr, Sally, Paul J, 1933-2013
• Contents: The Triangle Game The Beginnings of Number Theory; Setting the Table: Numbers, Sets and Functions; Rules of Arithmetic; A New System; One's Digit Arithmetic Axioms in Number Theory; Consequences of the Rules of Arithmetic; Inequalities and Order Divisibility and Primes; Divisibility; Greatest Common Divisor; Primes The Division and Euclidean Algorithms; The Division Algorithm; The Euclidean Algorithm and the Greatest Common Divisor; The Fundamental Theorem of Arithmetic Variations on a Theme; Applications of Divisibility; More Algorithms Congruences and Groups; Congruences and Arithmetic of Residue Classes; Groups and Other Structures Applications of Congruences; Divisibility Tests; Days of the Week; Check Digits Rational Numbers and Real Numbers; Fractions to Decimals; Decimals to Fractions; Infinity; Rational Numbers; Irrational Numbers; How Many Real Numbers? Introduction to Geometry and Symmetry Polygons and Their Construction; Polygons and Their Angles; Constructions Symmetry Groups; Symmetric Motions of the Triangle; Symmetric Motions of the Square; Symmetries of Regular n -gons Permutations; Symmetric Motions as Permutations; Counting Permutations and Symmetric Groups; Even More Economy of Notation Polyhedra; Regular Polyhedra; Euler’s Formula; Symmetries of Regular Polyhedra; Reections and Rotations; Variations on a Theme: Other Polyhedra Graph Theory; Introduction; The Königsberg Bridge Problem; Colorability and Planarity; Graphs and Their Complements; Trees Tessellations ; Tessellating with a Single Shape; Tessellations with Multiple Shapes; Variations on a Theme: Polyominoes; Frieze Patterns; Infinite Patterns in Two and Three Dimensions Connections; The Golden Ratio and Fibonacci Numbers; Constructible Numbers and Polygons Appendix: Euclidean Geometry Review; ; Glossary Bibliography Index Practice Problem Solutions and Hints as well as Exercises appear at the end of each chapter.
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2013
• Copyright Date: 2013
• Extent: 1 online resource (xvii, 426 pages), illustrations
• Subjects: 512.7; Number theory -- Textbooks; Geometry -- Textbooks; Geometry; Number theory; Electronic books; Textbooks
• Languages: English
• ISBNs: 9781466554658; 1466554657
• Notes: Note: Includes bibliographical references (pages 413-414) and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.