Library Book Reviews (by Author)

Reviewed by Mr Power

Flatland - Edwin Abbott

Can you imagine what it would be like to live in a flat (2-dimensional) world? How would you pass someone on the street? This Victorian classic certainly makes you think in a way you will never have thought before!

1089 and all that - David Acheson

A small book that explains some big ideas in a simple way. Definitely worth the short time it will take to read.

Proofs from THE BOOK – Martin Aigner and Gunter Ziegler

Paul Erdos always talked about THE BOOK, in which God maintains perfect proofs for theorems. This book is an attempt to gather together as many proofs that might deserve a place in THE BOOK. Dip in and see what you find!

Uncle Petros and Goldbach’s Conjecture – Apostolos and Doxiadis

A mathematical novel about Uncle Petros and the discovery by his young nephew that Petros been thinking deeply for much of his life about mathematical problem. Try this if you want to see Mathematics a little differently.

Seduced by logic – Robyn Arianrhod

Two outstanding women in Mathematics are described in this book, one a contemporary of Newton and the other someone who helped to develop Newtonian mechanics. Read their stories.

Super crunchers - Ian Ayres

How numbers can be used to predict the future …. this book looks at the recent explosion in the use of numerical data (rather than professional opinion) to shape planning for the future. Rather than relying on experts, the future may well rest on whether the “computer says no”. Very readable and very interesting.

Think of a number - Johnny Ball

Once upon a time Zoë Ball’s dad, Johnny, was the famous one. His TV show entertained and inspired me when I was at school and perhaps this book will do the same for you. Dip in and enjoy.

Strange Curves, Counting Rabbits and other Mathematic Explorations - Keith Ball

This book is full of lovely Mathematical ideas – some easy to understand, some rather harder. Dip into it and see what you find.

Mathematical Recreations and Essay - W W R Ball

First published in 1892, this book is full of wonderful mathematical ideas and situations. Read a page at random and see where it leads.

The infinite book - John D. Barrow

Infinity is one of my favourite subjects. Try this book to discover some of the amazing properties of this concept. Some infinities bigger than others? Why time travel can’t be possible? Lots of jokes? This book combines history, science fiction, mathematics and pretty much everything in between. An interesting read for anyone.

Randomness - Deborah Bennett

What are the odds? What a coincidence!? The Law of Probability says …

If you want to know a little more about the chances of things happening and the likelihood of bizarre coincidences then read this book. Well written and full of interesting stories.

The tiger that isn’t - Michael Blastland and Andrew Dilnot

This is a very intelligently written book about how to make sense of the wealth of numbers that surround us all the time but we probably don’t think about carefully enough. What does Government spending of £300 million really mean? What is “average pay”? Should we believe school league tables? This book is very readable but also contains some very powerful arguments. Well worth the time spent on reading it.

The Norm Chronicles – Michael Blastland and David Spiegelhalter

This book may change the way you view the world. It analyses both the sort of risks we face every day and the ones we will hopefully never face, enabling the reader to take a more rational view of the risks they face.

The Joy of pi - David Blatner

All you ever wanted to know about pi and more. This is a great book to dip in to, it even tells you the first million digits of pi!

An introduction to determinants and matrices - F Bowman

For the enthusiast (or Further Mathematician) only. This book introduces the powerful idea of matrices.

A History of Mathematics - Carl B Boyer

This book deserves its place in the reference section of the Library. It is a comprehensive account of the history and development of Mathematics. Admittedly this is not a “cover to cover” read but if you want to find out about a Mathematician or the origins of a Mathematical topic then this is a great place to start!

The Egyptians – Mary Brading

Activities and stories about the Ancient Egyptians. This book is interesting and fun without being too hard! Tryit and see.

The Greeks - Mary Brading

Activities and stories relating to Ancient Greek Mathematics. Similar to the one on the Egyptians but on the Greeks instead!

Conned again, Watson - Colin Bruce

Sherlock Holmes gets to the bottom of some puzzling Mathematical problems with Watson’s help. Part story book, part guide to areas of Maths you might not have visited before, a good book for a rainy day.

How round is your circle? - John Bryant and Chris Sangwin

This book asks and answers some interesting questions. For example: How can you draw an exactly straight line? How do you tell if a circle is really round? How can you drill a square hole? The writers combine practical solutions with some intriguing mathematical techniques. Hard work in places but worth flicking through to see what might catch your imagination.

The Fascination of Groups - F J Budden

The subject of groups is hugely important in Higher Mathematics with uses in unexpected areas from subatomic particles to the Rubik’s Cube. This book covers a great deal of material in plenty of detail. If you are thinking of Maths at University then have a look at this book.

Elementary Calculus - G W Caunt

Calculus textbook with lots of questions (and even the answers!). May help with that tricky integral you were stuck on.

Infinitesimal Calculus - G W Caunt

See how calculus was taught around the time of the First World War. Includes a section on Virtual Work, now there’s an idea!

A Basic Course in Statistics - G M Clarke & D Cooke

This book provides a good source of alternative explanations to A-Level standard statistical ideas.

The Book of Numbers – John Conway and Richard Guy

A wonderful book from one of the greatest living British mathematicians – John Conway. Included are huge numbers of powerful mathematical ideas covered through talking in simple terms about numbers and the patterns they make.

Concise Dictionary of Mathematics - C Clapham

An excellent reference book if you are ever confused about the words used in Mathematics.

Mathematicians - Marianna Cook

This is a wonderful book, full of photographs of prominent Mathematicians from around the world. Each one writes briefly about their work and what brought them to study Mathematics in the first place. An excellent book to dip into – who knows, it might inspire you to become a Mathematician too!

The Curves of Life - Theodore Cook

Ever wondered where Mathematics appears in Nature? This book has hundreds of examples illustrated by lots of pictures. It also looks at buildings, architecture and Art. A book to dip into rather than read cover to cover, probably.

Mathematical Models - CundyRollett

Solving equations using water? Impossible you say, well try p 190. This classic book is full of ideas for models and patterns. It is hard work in places but see what you can do given a bit of effort!

Descartes’ Dream - Philip Davis & Reuben Hersh

This book examines the effect of computers on the world around us. Full of interesting examples and deep ideas.

The Mathematical Experience - Philip Davis and Reuben Hersh

A classic. Full of examples and ideas showing how powerful Mathematics can be and where it is used.

Prime Obsession - John Derbyshire

Not another book on the Reimann Hypothesis I hear you say. Well, yes it is, but if you are going to be the one who claims the $1000000 prize for solving this greatest of modern Mathematical riddles you will need as much information as you can get. This book is detailed but readable, full of anecdotes as well as Mathematics.

Unknown Quantity - John Derbyshire

A wonderful book that combines history and Mathematics to tell the tale of algebra. The characters are never boring (one died in a duel aged 20, another was skinned alive by an angry mob) and although many complex ideas are visited, the author explains them clearly and simply. Try it and see what you think.

Mathematics & Measurement - O Dilke

A surprisingly interesting look at the history of measurement in the ancient world. Worth a dip.

Logicomix: An epic search for truth – Doxiadis and Papadimitrious

A comic book? In the Maths section of the library? No, a “graphic novel” which uses the style of a comic to tell the amazing story of Bertrand Russell and his quest to put the foundations of mathematics on firm logical ground. A lovely book – try it and you may well be hooked!

The Mathematical Universe - William Dunham

An alphabetical tour through lots of areas of Mathematics, some quite complicated, some quite easy. Choose a chapter and see what you think!

How many socks make a pair? - Rob Eastaway

This is a very readable, well written book containing lots of interesting information. Want some Sudoku tips? How does the Dragon Curve come about by simply folding a piece of paper lots of times? Need some more card tricks? Just try a chapter and see what you learn.

Why do buses come in threes? - Rob Eastaway & Jeremy Wyndham

A great book on the Mathematics that is all around us. The writers aim to settle questions such as “What’s the best bet?”, “How do you explain a coincidence?” and “Why do buses come in threes?”. Well written and very entertaining.

How to take a penalty - Rob Eastaway and John Haigh

More Mathematical curiosities from these excellent authors but this time the situations all involve sport. You can learn the best strategy when taking penalties and much, much more.

The Number Devil - Hans Magnus Enzensberger

Bizarre but rather wonderful, this book describes the dreams of a boy called Robert and his encounters with the Number Devil who shows him some lovely ways of thinking about numbers and how they behave. Try it and see if you like it!

Adventures with impossible figures - Bruno Ernst

If you have ever wondered how optical illusions work then this book will explain in a clear and exciting way. This is one of my favourite books. Try it!

The Magic Mirror of M. C. Escher - Bruno Ernst

I love this book. It is full of pictures by Escher but also shows how he came up with the ideas behind them. If you like Art or optical illusions then this is the book for you.

The History of Mathematics – A Reader - FauvelGray

Plato, Euclid, Fermat, Newton, Galois, Möbius etc….. This book contains their writings in their own (translated) words. Fascinating.

Higher Algebra - W L Ferrar

A classic algebra textbook tackling topics from ‘A’-Level and beyond.

Higher Algebra II - W L Ferrar

The sequel.

Surely you’re joking Mr Feynman - Richard Feynman

Not, strictly speaking, a Mathematician but such an interesting character that I recommend this book unreservedly. Feynman combined a life in Physics, culminating in a Nobel Prize, with being a great practical joker, safe cracker, bongo player and storyteller. A great autobiography.

What do you care what other people think? - Richard Feynman

More adventures of Richard Feynman, Nobel Prize winning Physicist. Some great stories. Read this after you have read “Surely you’re joking Mr Feynman”.

In Code - Sarah Flannery

A school girl? Cracking ‘unbreakable’ codes? Designing methods that computer companies around the world want to buy? This book tells the story of Sarah Flannery in her own words. Very readable, always interesting. Perhaps you will try to follow in Sarah’s footsteps??

The great mathematicians – Raymond Flood and Robin Wilson

A huge number of interesting and important figures from the history of Mathematics are included in this book. Learn about some of the people who have been instrumental in creating the world we know today. Very readable and full of interesting stories.

Mathematical puzzling - Tony Gardiner

This book is full of unusual but challenging puzzles for those spare moments in the day when you want something interesting to do. Dip into this book and I am sure you will get hooked.

Colossal book of short puzzles and problems - Martin Gardner

Martin Gardner practically created the modern idea of recreational Mathematics. Through his games and puzzles he has inspired countless people to pursue Mathematics further and deeper. You will find a huge number of interesting, challenging and fruitful puzzles in this book. Try a few and you may well be hooked too!

Mathematical Puzzles and Diversions from Scientific American - Martin Gardner

Want to know about Hexaflexagons or 3D noughts and crosses? The Tower of Hanoi or Sam Loyds classic puzzles? This book will explain lots of interesting ideas and puzzles in a very understandable way. Gardner is an exceptional guide. Do not be put off by the fact that the cover looks old. An excellent book.

Fascinating Fibonaccis - T H Garland

1,1,2,3,5,8,……….adding the previous two numbers to get the next one gives the Fibonacci sequence. This lovely book explains the origins and occurrences of this sequence all around us. Well-explained and clear, this book is entertaining and intriguing.

Perfect rigour: a genius and the mathematical breakthrough of the century – Masha Gessen

Grigori Perelman is one of the world’s greatest living mathematicians. He is also a very interesting and unusual character. This book tells the story of Perelman’s successes but also of the battles he has fought and the enigmatic life he now leads.

Mathematics – A Very Short Intro - Tim Gowers

This is a deceptively small and simple book. Tim Gowers is one of the foremost Mathematicians of the age – and is British. He explains what Mathematics is in simple terms but manages to include some very profound ideas at the same time. An exceptionally good book.

The Princeton Companion to Mathematics - Tim Gowers (Editor)

This magnificent book is a wonderful work of reference for Mathematics. If you want to know about Mathematicians through history, if you want to discover the starting points for academic research, if you want to read about the background, philosophy and aims of Mathematics, you can. It is all in here, and more!

Do not be put off by the technical terms, the text is readable and is full of Mathematical gems. Try it and see!

Statistics: a complete introduction – Alan Graham

This is really straightforward and surprisingly readable book on all things statistical. Bought for Psychology students, it is actually very good for mathematicians too!

Train your brain: a year’s worth of puzzles – George Gratzer

Lots and lots of lovely puzzles and the answers. What more could you want?

Mathematics: from the birth of numbers - Jan Gullberg

This is a very authoritative book on the history and theory of Mathematics. Not a light read but packed full of interesting ideas and facts. Also included are lots of worked examples of particular methods.

Mathematical excursions to the world’s greatest buildings – Alexander J. Hahn

Interested in architecture? And Mathematics? This book combines the two to explore some amazing buildings. From the great buildings of the Middle Ages to the most exciting modern ones. Containing wonderful pictures, this book combines Mathematics and the real world.

Taking Chances – Winning without Probability - John Haigh

If you really want to know what is going on when you play games of chance then this is an excellent place to start. Thorough but entertaining, this book sets out to explain the role of probability in winning.

Solid Geometry - J S Hails & E J Hopkins

A textbook for the “good old days” of A-Level geometry.

A Mathematician’s Apology - G H Hardy

An absolute classic from one of Britain’s greatest Mathematicians. His musings on Mathematics between the World Wars are worth reading purely from a historical perspective. However, they are also intriguing if you have any hint of being a Mathematician yourself.

An introduction to the Theory of Numbers – G. H. Hardy and E. M. Wright

The classic work on Number Theory, this book is not for the faint-hearted but if you are intrigued by how whole numbers actually work then this is the book for you. Suitable only for serious Mathematics students. Is that you?

Impossible? - Julian Havil

Another inspirational book from Dr Havil who teaches “down the hill”. There are lots of snippets of intriguing, unexpected mathematical results in this book. The level of knowledge needed in places is high but there are enough comments, jokes and pieces of history to suggest that learning the Mathematics to be able to read the details would be time well spent.