Observing the Solar System
The Modern Astronomer's Guide
While modern day amateur astronomy is heavily reliant on digital imaging devices, this practical guide for astronomers of all levels includes techniques on elementary visual observing. It also provides advice for more advanced practitioners who may wish to submit observations to astronomical societies.
An Introduction to the Analysis of Structured Data in Applications
Marlos AG Viana’s text combines notions of algebra and statistics and develops a systematic methodology to better explore many different data-analytic applications of symmetry. Cambridge Series in Statistical and Probabilistic Mathematics.
Rogerson's Book of Numbers
The Culture of Numbers from 1,001 Nights to the Seven Wonders of the World
Barnaby Rogerson counts down from the many millions of angels who could dance on a pin to the ultimate zero of Nirvana. On the way he delves into the cultural significance of important integers, explaining why 13 is unlucky in the West but 14 is the number to avoid in China, how John Buchan decided to write about 39 steps and which six patrician families were Rome’s greatest.
Setting Up a Weather Station and Understanding the Weather
A Guide for the Amateur Meteorologist
This comprehensive beginner’s guide explains how and where to measure the weather – from rainfall and air pressure to sunshine and humidity – using instruments as simple as rain gauges and barometers, as well as the more sophisticated automatic weather station, which can log and store observations wirelessly. There is advice on how to observe phenomena including the wind, visibility and clouds without instruments, how to interpret data meteorologically, and how to share results with meteorological organizations.
At the Edge of Infinity and Beyond
Aleph-null is the cardinality, or size, of the set of natural numbers, and is a ‘countably infinite cardinal’. Remarkably, whereas 1 + 1 = 2, 1 + aleph-null = aleph-null. The authors of this advanced maths explainer utilize plain English in an attempt to understand difficult mathematical concepts, including large numbers, higher dimensions, computation and primes, fusing historical, philosophical and anecdotal aspects of each concept with the decidedly technical. Slightly off-mint.
Maths in Bite-sized Chunks
Chris Waring’s accessible guide is designed for anyone who is keen to overcome a fear of mathematics. Employing numerous examples, common-sense explanations, fascinating asides and clear diagrams, this volume breaks down seemingly inscrutable mathematical concepts into easy-to-follow steps, explaining simple arithmetic and number, ratio and proportion, algebra, geometry, statistics and probability. Reassuringly, Waring emphasises real-world applications of mathematical principles, championing the great mathematicians of history in the process.
How it Shaped Our World
In this companion guide to the Science Museum’s Winton Gallery, curator David Rooney considers the everyday practical applications of mathematics, both past and present, including mathematics in design, economics, geography, medicine, travel and war. This generously illustrated volume features many of the objects and diagrams from the gallery’s collection, among them Charles Babbage’s Difference Engine and Le Corbusier’s Le Modulor infographic, while four essays by prominent academics include two on women’s place in the history of mathematics.
Entropy of Hidden Markov Processes and Connections to Dynamical Systems
Papers from the Banff International Research Station Workshop
The mathematics of hidden Markov processes (HMPs) can be applied to many kinds of noise-related technologies, from speech and optical character recognition to biomolecular sequence analysis. This collection of nine papers from a 2007 workshop at the Banff International Research Station covers the entropy rate problem, or measure of randomness, of HMPs, with reference to informational theory, dynamical systems, statistical mechanics and probability theory.
The Quality of Numbers One to Thirty-one
In these essays – one for each day of the month – Held demonstrates the fascinating qualities and associations, both cultural and scientific, of the first 31 integers. His ‘excursions into the realm of number’ visit such varied calling-points as the eleven-year sunspot cycle, humans’ 23 pairs of chromosomes, Snow White’s seven dwarves and Judas’ 30 pieces of silver.
The Humongous Book of Geometry Problems
The best way to learn about geometry is to work through lots of problems and proofs – but it can be frustrating when a textbook just gives you the answer without explaining clearly how to reach it. This collection of 1,000 problems is fully annotated with tips and step-by-step solutions to guide you through basic rules and concepts, from parallel and intersecting lines to vectors, transformations and truth tables, by way of the key theorems for circles and triangles.
Alex Through the Looking-Glass
How Numbers Reflect Life and Life Reflects Numbers
Alex Bellos, author of Snowflake Seashell Star, takes the reader on a tour of his favourite mathematical concepts to reveal the hidden numbers that underpin our everyday lives. In the course of his travels he explores the Ordnance Survey's obsession with trigonometry, explains why rollercoasters are a monument to Newton's innovations, ponders why we have superstitions about certain numbers, delves into the mysteries of hyperboloids and meets an anonymous member of a secret mathematical sect.
Number Treasury 3
Investigations, Facts and Conjectures About More than 100 Number Families
Written as a resource for both teachers and students, this enlarged third edition of Number Treasury is designed to guide readers through the steps that will help them to think critically, to provide explanations and to formulate conjectures about different families of positive integers. Its 137 exercises and 28 'investigations', at three levels of difficulty, cover such intriguing topics as magic squares, palindromic numbers and twin primes. Detailed solutions are provided at the back of the book.
How Smart Are You?
Test Your Math IQ
How to improve your number skills: these 50 ten-question quizzes have an IQ-style scoring system that enables you to compare your performance with the average mark. The tests cover decimals and fractions, interest and percentages, means and medians and pose a range of algebraic word problems, interspersed with brief biographies of great mathematicians from Pythagoras to Andrew Wiles, who solved Fermat’s Last Theorem in 1994. American spelling and elastic closure.
A Brief History of Mathematical Thought
In this concise and engaging book, Heaton traces the history of mathematical practice, focusing on conceptual innovations. From Stone Age rituals to algebra, calculus and the concept of computation, he aims to provide 'an informal and poetic guide to a range of mathematical thoughts'. He also looks at the role of mathematics in our attempts to comprehend the world around us, and at the profound influence of mathematical language.
Suitable both for students beginning their study of algebra and for those who want to remember what they once knew, the nine chapters of this book progress from basic principles of addition and subtraction to the solution of quadratic equations. But everything is presented as painlessly as possible, with step-by-step guides to solving each kind of problem, advice on common mistakes to avoid and illustrative drawings and diagrams.
Abbo of Fleury and Ramsey
Commentary on the Calculus of Victorius of Aquitaine
This didactic work by Abbo of Fleury (c.945–1004) is a philosophical Commentary on the mathematical tables produced by Victorius of Aquitaine (fl.457) to facilitate calculations using Roman numerals and fractions. Latin texts of both Victorius and Abbo. No jacket.
The Story of Mathematics
From Creating the Pyramids to Exploring Infinity
In this very accessible and well-illustrated book, Anne Rooney traces humankind's greatest mathematical achievements, starting with innumerate cave-dwellers, then profiling the great mathematicians from Euclid to Bertrand Russell and David Hilbert, and explaining key developments such as solid geometry, calculus and statistical mathematics, up to 'the death of numbers' with set theory and fuzzy logic.
Birth of a Theorem
A Mathematical Adventure
What is it like to be a 'rock-star mathematician' praised by Patti Smith? How does an inspired mathematical idea become a published article? Cédric Villani received a Fields Medal in 2010 for his work on Landau damping and the Boltzmann equation; here he looks back at the development of this research, presenting emails exchanged with his collaborator Clement Mouhot and setting his academic work in the context of his everyday life.
How Algorithms Solve All Our Problems... and Create More
Our world is increasingly ruled by algorithms, the complex sets of step-by-step instructions that enable computers to sort, filter and select information. But is this always a positive development, and how did we come to believe in the all-conquering power of numbers? Combining journalism and scholarship, Dormehl investigates the role of algorithms in our modern lives and shows how these formulas are shaping human relationships and creativity, notions of identity and even matters of law.
The Marvellous Maths Workbook
If you recognize the value of maths but have never quite got to grips with some of the detail, Go Figure could be your formula for success. This guide to mastering the basics includes simple explanations and 100 short quizzes covering the six main areas of maths: arithmetic, fractions and probability, statistics, algebra, geometry and problem solving. All the answers are provided at the back of the book. Slightly off-mint.
Taming the Infinite
The Story of Mathematics
The rise of civilization and mathematics have gone hand-in-hand and much of what we now take for granted – from suspension bridges to the stock market – relies on mathematical innovation: we simply could not function without the subject. Professor Stewart, a renowned popularizer of mathematics, traces its history from ancient tokens and tallies to chaos theory and complex systems, looking en route at the lives and achievements of great mathematicians such as Euclid, Archimedes, Fibonacci, Descartes, Newton and Gödel.
A Brief Guide to the Great Equations
The Hunt for Cosmic Beauty in Numbers
From 1+1=2 and Pythagoras' theorem to the work of Einstein and Heisenberg, Crease tells the stories and personal struggles behind the creation of the most fundamental, powerful and influential equations. He also considers what each equation reveals about the cultural and historical background that produced it and the effects, often unforeseen by their originators, which these pithy distillations of knowledge have had on later generations.
How Big is Infinity?
The 20 Big Maths Questions
What is mathematics for, and where do numbers come from? Beginning with those fundamental questions, this accessible book introduces the work of history's greatest mathematical minds, from Pythagoras and Euclid to Fermat and Gödel, as well as setting out the perplexing problems which cutting-edge research is still trying to solve, such as the Riemann hypothesis. Previously published as The Big Questions: Mathematics.
The Telomerase Revolution
The Enzyme That Holds the Key to Human Aging... and Will Soon Lead to Longer, Healthier Lives
Why does growing old lead to so many forms of illness? Recent advances in the study of human cells have revealed that the key to answering this question lies in the telomeres – the tips of chromosomes – which shorten every time a cell reproduces. As he explains these insights, Fossel highlights the ability of the enzyme telomerase to re-lengthen the telomeres and discusses its potential as a means of treating age-related diseases such as Alzheimer’s.
Written in Stone
The Hidden Secrets of Fossils and the Story of Life on Earth
Recently uncovered ‘transitional’ fossils, analysed by the growing discipline of paleobiology, have inspired Brian Switek to reassess the simplistic notion of the ‘missing link’ which has confounded evolutionists since Darwin.