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M4M: Maths for the Mystified

 

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Errata (2006 edition) and Notes

Maths for the Mystified ISBN: 1-90523781-2

This book focuses on the use of numerical and computational methods as a means of understanding a wide range of mathematical problems. It is recommended reading for 16+ age group students, but has been written for all ages and abilities. A second ediiton, with corrections and updates to web links is now available


Information sheet : Click link for information sheet (2006 edition) (200kb) (PDF file)

Extract: An extract of the book, including the Contents (PDF file (2nd edition)

 

Reviews:

 

"From irrational numbers to fractional dimensions, from image processing to credit card security, Maths for the Mystified is a source of treasure that covers many of the most exciting topics in mathematics and shows how the power of mathematics is applied to today's sophisticated world. Erudite, well researched and up-to-date, it is accessible to the mathematically-minded layman, ranging from delightful anecdotes to serious insights and applications. Unlike many popular books on mathematics it does not side-step mathematical arguments and explanations, lucidly exploring and explaining them and including useful web links and references "   R Emanuel, author of Longman's Core Maths series for A Level students

 

Other reviews and recommendations:

  • Association of teachers of mathematics, UK  Book Review (April 2007) (PDF file)
  • Kybernetes (2007) Vol 36, Book Review (PDF file)
  • Amazon (1 review - 4 stars) (May 2007)

Further details of the book are available from the author  

 

SPREADSHEETS & WORKSHEETS

Description

Book section/details

aitken-convergence.xls

Illustration of fast approximation of logs

12.1

angles.xls

Determination of triangle ratios, sine, cos

3.1, Table 3.1

binarychop.xls

Calculation of sales tax by binary chop

1.1, Box 1

division.xls

Better division by approximation

11.2, Fig 11.1

e.xls

Approximation of the constant, e

15.2, Tables 15.4,15.5

exponentialdifferentiation.xls

Differentiation of exp(x)

Appendix 1, rates of change

goldenratio.xls

Continued fraction approximation

15.3, Table 15.6

gravity.xls

Free fall from 1000m

3.5.1, Fig 3.12

gaussian.xls

Sum of integers 1 to 100

12.1

lotka.xls

Predator-prey population modelling

13.1.3

mercator.xls (634kb)

Calculating the Mercator map stretch values

12.2.2, Fig 12.1

pi.xls

Wallis' approximation to pi

15.1, Fig 15.3

pi-iteration.xls

AGM estimations of pi

15.1, Tables 15.2,15.3

stdev.xls

Calculation of standard deviation

Appendix 1, Standard dev

waves.xls

Wave forms and musical chords

3.3, Box 5, Fig 3.9

rsa-sample.mws

Credit card and text encryption (Maple)

9.1

stiffproblem.mws

Solution to rounding error problem

2.6 and Appendix 1

 

 

 

(c) 2006, 2017 Dr Michael J de Smith