Professor Higgins's problem collection / Peter M. Higgins.

Format:

Book

Author/Creator:

Higgins, Peter M., author.

Language:

English

Subjects (All):

Mathematics--Problems, exercises, etc.

Mathematics.

Physical Description:

1 online resource (126 pages)

Edition:

1st ed.

Place of Publication:

New York, New York : Oxford University Press, 2017.

Summary:

This book serves up a variety of problems and shows how mathematics answers them. Topics range from cracking codes to the persistence of recessive genes.

Contents:

Cover

Contents

Preface

1 Number

Introduction

Problem 1: What values may primes take?

Problem 2: Hidden binary

Problem 3: How should we write fractions?

Problem 4: Labelling a cube

Problem 5: Map numbering problem

Problem 6: Counting the pennies

Problem 7: Counting solutions

Problem 8: Cracking codes

Problem 9: Logic puzzles

Problem 10: Pigeonhole tricks

Number notes

Comments on number problems

2 Algebra

Problem 11: Trading equations

Problem 12: Frog and toad

Problem 13: Geometric series questions

Problem 14: Summing powers of integers

Problem 15: Roots of equations

Problem 16: Special series

Problem 17: Exact values of trigonometric functions

Problem 18: Cosine questions

Problem 19: How many terms to get close?

Problem 20: Functional equations

Algebra notes

Comments on algebra problems

3 Geometry

Problem 21: Goat grazing problems

Problem 22: Compasses and straight edge

Problem 23: Tiny changes mean a lot? Or not?

Problem 24: Golden diagonal

Problem 25: Newton's ladder problem

Problem 26: How long is a fan belt?

Problem 27: A fifth century trick

Problem 28: At a tangent

Problem 29: Low lights

Problem 30: Rugby place kicking problem

Geometry notes

Comments on geometry problems

4 Chance and combinations

Problem 31: Tennis tournaments

Problem 32: Tumbling dice and a tricky toss

Problem 33: Tactile random walks

Problem 34: More amblings

Problem 35: One in a million?

Problem 36: Loyalty versus Switch

Problem 37: Think it's going to rain today?

Problem 38: Persistence of recessive genes

Problem 39: Counting mappings

Problem 40: Area under the bell curve

Chance and combinations notes

Comments on chance and combinations problems

5 Movement.

Introduction

Problem 41: Cycling questions

Problem 42: On the run

Problem 43: Sam Loyd's ferry boat problem

Problem 44: Cylinder problems

Problem 45: Catching The Goblin

Problem 46: Flag in the wind

Problem 47: Planetary motion

Problem 48: Elastic collision

Problem 49: Slip sliding away?

Problem 50: Fermat's Principle and Snell's Law of Refraction

Movement notes

Comments on movement problems.

Notes:

Includes index.

Description based on print version record.

Description based on publisher supplied metadata and other sources.

ISBN:

0-19-107196-X

OCLC:

975487040