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Modern Mathematics : Made Simple.

Author: Patrick Murphy
Publisher: London : Heinemann, ©1982.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Electronic books
Popular works
Additional Physical Format: Print version:
Murphy, Patrick.
Modern Mathematics : Made Simple.
Burlington : Elsevier Science, ©2014
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Patrick Murphy
ISBN: 9781483280035 1483280039
OCLC Number: 898422357
Notes: Includes index.
Modern Mathematics.
Description: 1 online resource (286 pages)
Contents: Front Cover; Modern Mathematics: Made Simple; Copyright Page; Foreword; Table of Contents; CHAPTER 1. SETS; Notation; Numbers; The Empty Set; Finite and Infinite Sets; Subsets; Universal Sets; Complement; Intersection; Union; Basic Operations on Sets; The Distributive Law; Equations; Solving Problems with Venn Diagrams; CHAPTER 2. ELEMENTARY MATHEMATICAL LOGIC; Inductive Reasoning; Deductive Reasoning; Mathematical Sentences; Replacement and Solution Sets; Compound Statements; Conjunctions; Disjunctions; Negation; Conditional Statements; Biconditional Sentences; CHAPTER 3. SWITCHING CIRCUITS. Connectiops in SeriesConnection in Parallel; The Distributive Law; Obtaining Functions Direct From Truth Tables; Negation; Gates; CHAPTER 4. MULTIBASE ARITHMETIC; Notation; Conversion from Base 10; Approximation; Addition; Subtraction; Multiplication; Division; Fractions; Puzzles; CHAPTER 5. FINITE SYSTEMS; Clock Arithmetic; Subtraction; Additive Inverses; Multiplicative Inverses; Modular Arithmetic; Fractions; A More Formal Discussion; Other Finite Systems; Groups; Isomorhisms; Subgroups; CHAPTER 6. RELATIONS; Relation Diagrams; Types of Relations; Cartesian Product; Inverse Relations. GraphsCorrespondences; Functions; Inverse Functions; Composition of Functions; CHAPTER 7. LINEAR PROGRAMMING; Equations for Straight Lines; Optimisation; Extreme Points; A Further Constraint; Non-linear Programming; CHAPTER 8. VECTORS; The Triangle Law; Vector Subtraction; Multiplication of a Vector by a Scalar; The Associative Law; Vector Geometry; Unit Vectors; Perpendicular Unit Vectors; The Dot Product; The Distributive Law; More Dot Products; CHAPTER 9. MATRICES; Reflections in the Axes; Reflection in y = ± x; Matrices for Reflections; Dot Products; Rotations; Radial Expansion. Matrix MultiplicationThe (2 x 2) Inverse Matrix; Simultaneous Equations; A Group of Matrices; Addition; CHAPTER 10. TESSELLATONS; Quadrilaterals; Quadrisides; Pentagons; Hexagons; Off Cuts; CHAPTER 11. MOTION GEOMETRY; Radial Enlargement; Reflection; Axes of Symmetry; Composite Reflections; Rotations; CHAPTER 12. RUBBER SHEET GEOMETRY; Topological Equivalence; Networks; Euler's Results; Networks for Maps; Incidence Matrices; V + F --
E = 2; Surfaces; Experiments in Topology: The Moebius Strip; The Punctured Torus; The Four-colour Problem; SOLUTONS; APPENDIX: Some Abbreviations and Deflnitions.

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