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Home > Mathematics and Science Textbooks > Mathematics > Discrete mathematics > IB Mathematics: Discrete Mathematics: For Exams from 2014(OSC IB Revision Guides for the International Baccalaureate Diploma)
IB Mathematics: Discrete Mathematics: For Exams from 2014(OSC IB Revision Guides for the International Baccalaureate Diploma)

IB Mathematics: Discrete Mathematics: For Exams from 2014(OSC IB Revision Guides for the International Baccalaureate Diploma)


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About the Book

This Guide supports study and revision for IBDP Mathematics HL Paper 3, for students planning to answer questions on Topic 10 Option: Discrete Mathematics. Coverage includes: a review of key aspects of the syllabus; how to apply mathematical concepts to exam-style questions; concise definitions of mathematical terminology; and guidance on boosting exam performance. Key features: worked examples to demonstrate how to solve exam problems; practice questions to test understanding; margin boxes with key points, hints, and tips; and clearly presented equations, diagrams, and tables

Table of Contents:
Elementary Number Theory Pigeon-hole Principle Factors and division Fundamental theorem of arithmetic Gcd, lcm and Euclid’s algorithm Linear Diophantine equations Practice Questions Answers Number Bases and Modular Arithmetic Number bases Multiplying in a given base Modular numbers Modular arithmetic Linear congruence Simultaneous Linear Congruences Chinese remainder theorem Fermat’s Little Theorem Practice Questions Answers Graph Theory – Basics What are graphs? Definitions Bipartite Graphs Adjacency Tables Handshaking Theorem Strong Induction Proof of the Handshaking Theorem Walks and Paths Definitions Hamitonian and Eulerian graphs Planar Graphs Weighted Graphs Graph Algorithms Dijkstra’s algorithm The “Chinese postman problem” “Travelling salesman” problem Nearest neighbour algorithm Practice Questions Answers Recurrence Relations First degree linear recurrence relations with constant coefficients Second degree linear, homogeneous, recurrence relations with constant coefficients Distinct roots to the characteristic equation Repeated roots to the characteristic equation Practice Questions Answers

About the Author :
Peter Gray studied Mathematics at Cambridge University and has taught IB Mathematics in the UK and Germany since 1996, currently teaching at Munich International School, Germany. He has experience as an examiner and moderator and has taught revision since 2000.


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Product Details
  • ISBN-13: 9781907374623
  • Publisher: Osc Publishing
  • Publisher Imprint: Osc Publishing
  • Edition: Revised edition
  • No of Pages: 32
  • Spine Width: 3 mm
  • Weight: 104 gr
  • ISBN-10: 1907374620
  • Publisher Date: 12 Feb 2013
  • Binding: Paperback
  • Height: 295 mm
  • Series Title: OSC IB Revision Guides for the International Baccalaureate Diploma
  • Sub Title: For Exams from 2014
  • Width: 210 mm


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