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Algorithmic problem solving: three years on

• R. Backhouse
• Published in World Congress on Formal… 15 December 2006
• Computer Science, Mathematics

4 Citations

Principles and applications of algorithmic problem solving, simple gedanken experiments in leveraging applications of formal methods, using domain-independent problems for introducing formal methods, experiences of teaching a lightweight formal method, 14 references, a logical approach to discrete math, program construction: calculating implementations from specifications, winning ways for your mathematical plays, program construction: utilisation of existing programs, on the shape of mathematical arguments, disjunctive games with the last player losing, guarded commands, nondeterminacy and formal derivation of programs, the associativity of equivalence and the towers of hanoi problem, program construction: calculating implementations from specifications by r.c. backhouse, john wiley & sons, 2004, instructor's manual: a logical approach to discrete math, related papers.

Showing 1 through 3 of 0 Related Papers

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Book description

An entertaining and captivating way to learn the fundamentals of using algorithms to solve problems

The algorithmic approach to solving problems in computer technology is an essential tool. With this unique book, algorithm guru Roland Backhouse shares his four decades of experience to teach the fundamental principles of using algorithms to solve problems. Using fun and well-known puzzles to gradually introduce different aspects of algorithms in mathematics and computing. Backhouse presents you with a readable, entertaining, and energetic book that will motivate and challenge you to open your mind to the algorithmic nature of problem solving.

Provides a novel approach to the mathematics of problem solving focusing on the algorithmic nature of problem solving

Uses popular and entertaining puzzles to teach you different aspects of using algorithms to solve mathematical and computing challenges

Features a theory section that supports each of the puzzles presented throughout the book

Assumes only an elementary understanding of mathematics

Let Roland Backhouse and his four decades of experience show you how you can solve challenging problems with algorithms!

Table of contents

• 1.1 Algorithms
• 1.2 Algorithmic Problem Solving
• 1.3 Overview
• 1.4 Bibliographic Remarks
• 2.1 Chocolate Bars
• 2.2 Empty Boxes
• 2.3 The Tumbler Problem
• 2.4 Tetrominoes
• 2.5 Summary
• 2.6 Bibliographic Remarks
• 3.1 Problems
• 3.2 Brute Force
• 3.3 Nervous Couples
• 3.4 Rule of Sequential Composition
• 3.5 The Bridge Problem
• 3.6 Conditional Statements
• 3.7 Summary
• 3.8 Bibliographic Remarks
• 4.1 Matchstick Games
• 4.2 Winning Strategies
• 4.3 Subtraction-Set Games
• 4.4 Sums of Games
• 4.5 Summary
• 4.6 Bibliographic Remarks
• 5.1 Logic Puzzles
• 5.2 Calculational Logic
• 5.3 Equivalence and Continued Equalities
• 5.4 Negation
• 5.5 Summary
• 5.6 Bibliographic Remarks
• 6.1 Example Problems
• 6.2 Cutting the Plane
• 6.3 Triominoes
• 6.4 Looking for Patterns
• 6.5 The Need for Proof
• 6.6 From Verification to Construction
• 6.7 Summary
• 6.8 Bibliographic Remarks
• 7.1 Problem Formulation
• 7.2 Problem Solution
• 7.3 Summary
• 7.4 Bibliographic Remarks
• 8.1 Specification and Solution
• 8.2 Inductive Solution
• 8.3 The Iterative Solution
• 8.4 Summary
• 8.5 Bibliographic Remarks
• 9.1 Iteration, Invariants and Making Progress
• 9.2 A Simple Sorting Problem
• 9.3 Binary Search
• 9.4 Sam Loyd’s Chicken-Chasing Problem
• 9.5 Projects
• 9.6 Summary
• 9.7 Bibliographic Remarks
• 10.1 Lower and Upper Bounds
• 10.2 Outline Strategy
• 10.3 Regular Sequences
• 10.4 Sequencing Forward Trips
• 10.5 Choosing Settlers and Nomads
• 10.6 The Algorithm
• 10.7 Summary
• 10.8 Bibliographic Remarks
• 11.1 Straight-Move Circuits
• 11.2 Supersquares
• 11.3 Partitioning the Board
• 11.4 Summary
• 11.5 Bibliographic Remarks
• 12.1 Variables, Expressions and Laws
• 12.3 Functions
• 12.4 Types and Type Checking
• 12.5 Algebraic Properties
• 12.6 Boolean Operators
• 12.7 Binary Relations
• 12.8 Calculations
• 12.9 Exercises
• 13.1 Boolean Equality
• 13.2 Negation
• 13.3 Disjunction
• 13.4 Conjunction
• 13.5 Implication
• 13.6 Set Calculus
• 13.7 Exercises
• 14.1 DotDotDot and Sigmas
• 14.2 Introducing Quantifier Notation
• 14.3 Universal and Existential Quantification
• 14.4 Quantifier Rules
• 14.5 Exercises
• 15.1 Inequalities
• 15.2 Minimum and Maximum
• 15.3 The Divides Relation
• 15.4 Modular Arithmetic
• 15.5 Exercises
• 16.1 Paths in a Directed Graph
• 16.2 Graphs and Relations
• 16.3 Functional and Total Relations
• 16.4 Path-Finding Problems
• 16.5 Matrices
• 16.6 Closure Operators
• 16.7 Acyclic Graphs
• 16.8 Combinatorics
• 16.9 Exercises
• Solutions to Exercises

Product information

• Title: Algorithmic Problem Solving
• Release date: December 2011
• Publisher(s): Wiley
• ISBN: 9780470684535

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• General & Introductory Computer Science
• Computer Science - General Interest

Algorithmic Problem Solving

ISBN: 978-0-470-68453-5

October 2011

Roland Backhouse

The algorithmic approach to solving problems in computer technology is an essential tool. With this unique book, algorithm expert Roland Backhouse shares his four decades of experience to teach the fundamental principles of using algorithms to solve problems. Using fun and well-known puzzles to gradually introduce different aspects of algorithms in mathematics and computing. Backhouse presents a readable, entertaining, and energetic book that will motivate and challenge students to open their minds to the algorithmic nature of problem solving.

• Provides a novel approach to the mathematics of problem solving focusing on the algorithmic nature of problem solving
• Uses popular and entertaining puzzles to teach you different aspects of using algorithms to solve mathematical and computing challenges
• Features a theory section that supports each of the puzzles presented throughout the book
• Assumes only an elementary understanding of mathematics

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Algorithmic Problem Solving—Three Years On

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Undergraduate students often start their academic course of studies with inadequate learning and thinking skills. Our college has a policy of setting high standards and demands, while supporting students' learning in a variety of ways. In this paper we present a distinctive course designed to aid students develop algorithmic problem-solving skills. The course is taught in parallel to a CS1 course and elaborates on activities such as analogical reasoning, prototyping problems, comparison between alternative solutions and reflection on problem-solving processes. It is one of the courses offered at our institution aimed at strengthening general learning and thinking skills, in addition to the regular disciplinary curriculum. Feedback from participants in the course demonstrates a developed awareness and appreciation of abstract ideas beyond programming knowledge. Students report on acquiring problem-solving skills that enable them to cope with compound problems. Additionally, stud...

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Algorithmic Problem Solving 1st Edition

The algorithmic approach to solving problems in computer technology is an essential tool. With this unique book, algorithm expert Roland Backhouse shares his four decades of experience to teach the fundamental principles of using algorithms to solve problems. Using fun and well-known puzzles to gradually introduce different aspects of algorithms in mathematics and computing. Backhouse presents a readable, entertaining, and energetic book that will motivate and challenge students to open their minds to the algorithmic nature of problem solving.

• Provides a novel approach to the mathematics of problem solving focusing on the algorithmic nature of problem solving
• Uses popular and entertaining puzzles to teach you different aspects of using algorithms to solve mathematical and computing challenges
• Features a theory section that supports each of the puzzles presented throughout the book
• Assumes only an elementary understanding of mathematics
• ISBN-10 0470684534
• ISBN-13 978-0470684535
• Edition 1st
• Publisher Wiley
• Publication date October 24, 2011
• Language English
• Dimensions 7.4 x 1 x 9.1 inches
• Print length 432 pages
• See all details

Editorial Reviews

About the author, excerpt. © reprinted by permission. all rights reserved., algorithmic problem solving, john wiley & sons, chapter one.

Excerpted from Algorithmic Problem Solving by Roland Backhouse Copyright © 2011 by John Wiley & Sons, Ltd. Excerpted by permission of John Wiley & Sons. All rights reserved. No part of this excerpt may be reproduced or reprinted without permission in writing from the publisher. Excerpts are provided by Dial-A-Book Inc. solely for the personal use of visitors to this web site.

Product details

• Publisher ‏ : ‎ Wiley; 1st edition (October 24, 2011)
• Language ‏ : ‎ English
• Paperback ‏ : ‎ 432 pages
• ISBN-10 ‏ : ‎ 0470684534
• ISBN-13 ‏ : ‎ 978-0470684535
• Item Weight ‏ : ‎ 1.75 pounds
• Dimensions ‏ : ‎ 7.4 x 1 x 9.1 inches
• #1,012 in Programming Algorithms
• #5,474 in Decision-Making & Problem Solving
• #16,517 in Professional

About the author

Roland c. backhouse.

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