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Numbers: A Very Short Introduction
In this Very Short Introduction Peter M. Higgins presents an overview of the number types featured in modern science and mathematics. Providing a non-technical account, he explores the evolution of the modern number system, examines the fascinating role of primes, and explains their role in contemporary cryptography.
Mathematics for the Curious
When do the hands of a clock coincide? How likely is it that two children in the same class will share a birthday? Should you play Roulette or the Lottery? How do we calculate the volume of a doughnut? Why does the android Data in Star Trek lose at poker? What is Fibonacci's Rabbit Problem? Many things in the world have a mathematical side to them, as revealed by the puzzles and questions in this book. It is written for anyone who is curious about mathematics and would like a simple and entertaining account of what it can do. Peter Higgins provides clear explanations of the more mysterious features of childhood mathematics as well as novelties and connections to prove that mathematics can be enjoyable and full of surprises.
Professor Higgins's Problem Collection
What can you do with your maths? You can use it to thoroughly understand all manner of things that cannot be dealt with in any other way. 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; from logic puzzles to classical geometry; and from planetary motion questions to predicting the market share of competing companies. And there are other problems where the mathematics itself is intrinsically surprising and interesting.
Mathematics for the Imagination
Mathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun new book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind. This is a follow-up to the popular Mathematics for the Curious, Peter Higgins's first investigation into real-life mathematical problems. A highly involving book which encourages the reader to enter into the spirit of mathematical exploration.
Number Story
Peter Higgins distills centuries of work into one delightful narrative that celebrates the mystery of numbers and explains how different kinds of numbers arose and why they are useful. Full of historical snippets and interesting examples, the book ranges from simple number puzzles and magic tricks, to showing how ideas about numbers relate to real-world problems. This fascinating book will inspire and entertain readers across a range of abilities. Easy material is blended with more challenging ideas. As our understanding of numbers continues to evolve, this book invites us to rediscover the mystery and beauty of numbers.
Wolfhound Century
Investigator Vissarion Lom has been summoned to the capital in order to catch a terrorist -- and ordered to report directly to the head of the secret police. A totalitarian state, worn down by an endless war, must be seen to crush home-grown insurgents with an iron fist. But Lom discovers Mirgorod to be more corrupted than he imagined: a murky world of secret police and revolutionaries, cabaret clubs and doomed artists. Lom has been chosen because he is an outsider, not involved in the struggle for power within the party. And because of the sliver of angel stone implanted in his head.
Algebra: A Very Short Introduction
Algebra marked the beginning of modern mathematics, moving it beyond arithmetic, which involves calculations featuring given numbers, to problems where some quantities are unknown. Now, it stands as a pillar of mathematics, underpinning the quantitative sciences, both social and physical. This Very Short Introduction explains algebra from scratch. Over the course of ten logical chapters, Higgins offers a step by step approach for readers keen on developing their understanding of algebra. Using theory and example, he renews the reader's aquaintance with school mathematics, before taking them progressively further and deeper into the subject. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Immigration Justice
What moral standards ought nation-states abide by when selecting immigration policies? Peter Higgins argues that immigration policies can only be judged by considering the inequalities that are produced by the institutions - such as gender, race and class - that constitute our social world.Higgins challenges conventional positions on immigration justice, including the view that states have a right to choose whatever immigration policies they like, or that all immigration restrictions ought to be eliminated and borders opened. Rather than suggesting one absolute solution, he argues that a unique set of immigration policies will be just for each country. He concludes with concrete recommendations for policymaking.
The Official Book of Circular Sudoku
From the inventor of Circular Sudoku come 120 puzzles that are easy, medium, and hard. Rules, strategies, and solutions are included.
Techniques of Semigroup Theory
This book introduces recently developed ideas and techniques in semigroup theory, providing a handy reference guide previously unavailable in a single volume. The opening chapter provides sufficient background to enable the reader to follow any of the subsequent chapters, and would by itself be suitable for a first course in semigroup theory. The second chapter gives an account of free inverse semigroups leading to proofs of the McAlister P-theorems. Subsequent chapters have the underlying theme of diagrams and mappings, and the new material includes the theory of biordered sets of Nambooripad and Easdown, the semigroup diagrams of Remmers and Jackson with applications to the one-relator, and other word problems, a short proof of Isbell's Zigzag theorem with applications to epimorphisms and amalgams, together with combinatorial, probabilistic and graphical techniques used to prove results including Schein's Covering Theorem and Howie's Gravity Formula for finite full transformation semigroups. Nearly two hundred exercises serve the dual purpose of illustrating the richness of the subject while allowing the reader to come to grips with the material.
