This title, now in its second edition, is an introduction to the psychological system known as transactional analysis (TA). It is aimed at the general reader as well as at TA trainees and practitioners.

How to Read Bridges is a practical introduction to looking at the structure and purpose of bridges. It is a guide to reading the structural clues embedded in every bridge that allows their variety and ingenuity to be better appreciated. Small enough to carry in your pocket and serious enough to provide real answers, this comprehensive guide analyses and explores all types of bridges from around the world from the first millennium to the present day. The book also explores fundamental concepts of bridge design, key materials and engineering techniques whilst providing an accessible visual guide with intelligent text, using detailed illustrations and cross-sections of technical features.

In recent years, there has been an explosion of interest in network-based modeling in many branches of science. This book synthesizes some of the common features of many such models, providing a general framework analogous to the modern theory of nonlinear dynamical systems. How networks lead to behavior not typical in a general dynamical system and how the architecture and symmetry of the network influence this behavior are the book's main themes. Dynamics and Bifurcation in Networks: Theory and Applications of Coupled Differential Equations is the first book to describe the formalism for network dynamics developed over the past 20 years. In it, the authors introduce a definition of a network and the associated class of "admissible" ordinary differential equations, in terms of a directed graph whose nodes represent component dynamical systems and whose arrows represent couplings between these systems. They also develop connections between network architecture and the typical dynamics and bifurcations of these equations and discuss applications of this formalism to various areas of science, including gene regulatory networks, animal locomotion, decision-making, homeostasis, binocular rivalry, and visual illusions. This book will be of interest to scientific researchers in any area that uses network models, which includes many parts of biology, physics, chemistry, computer science, electrical and electronic engineering, psychology, and sociology.

New to the Fourth Edition Reorganised and revised chapter seven and thirteen New exercises and examples Expanded, updated references Further historical material on figures besides Galois: Omar Khayyam, Vandermonde, Ruffini, and Abel A new final chapter discussing other directions in which Galois Theory has developed: the inverse Galois problem, differential Galois theory, and a (very) brief introduction to p-adic Galois representations.

From Newton's Law of Gravity to the Black-Scholes model used by bankers to predict the markets, equations, are everywhere -- and they are fundamental to everyday life.Seventeen Equations that Changed the World examines seventeen ground-breaking equations that have altered the course of human history. He explores how Pythagoras's Theorem led to GPS and Satnav; how logarithms are applied in architecture; why imaginary numbers were important in the development of the digital camera, and what is really going on with Schroedinger's cat. Entertaining, surprising and vastly informative, Seventeen Equations that Changed the World is a highly original exploration -- and explanation -- of life on earth.

New to the Fourth Edition Reorganised and revised chapter seven and thirteen New exercises and examples Expanded, updated references Further historical material on figures besides Galois: Omar Khayyam, Vandermonde, Ruffini, and Abel A new final chapter discussing other directions in which Galois Theory has developed: the inverse Galois problem, differential Galois theory, and a (very) brief introduction to p-adic Galois representations.

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles's proof of Fermat's Last Theorem opened many new areas for future work. New to the Fourth Edition Provides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper's proof that Z( 14) is Euclidean Presents an important new result: Mihailescu's proof of the Catalan conjecture of 1844 Revises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and others that led to the long-sought proof of Fermat's Last Theorem Improves and updates the index, figures, bibliography, further reading list, and historical remarks Written by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory.

'Stewart is Britain's most brilliant and prolific populariser of maths' Alex Bellos 'The instructive equivalent of a Michelin-starred tasting menu' Tim Radford Many people think mathematics is useless. They're wrong. In the UK, the 2.8 million people employed in mathematical science occupations contributed GBP208 billion to the economy in a single year - that's 10 per cent of the workforce contributing 16 per cent of the economy. What's the Use? asks why there is such a vast gulf between public perceptions of mathematics and reality. It shows how mathematics is vital, often in surprising ways, behind the scenes of daily life. How politicians pick their voters. How an absurd little puzzle solved 300 years ago leads to efficient methods for kidney transplants. And how a bizarre, infinitely wiggly curve helps to optimise deliveries to your door.

* 41 in-depth essays cover current economic theory and applied economics in a single, comprehensive volume
* Interfaces section considers economics as it relates to other disciplines
* Extensive notes, bibliographies and suggestions for further reading; detailed index of Topics and People
A treasure-house of stimulating argument and vast amounts of, mostly, well marshalled information. The market for general survey volumes, while already crowded, should surely find room for this offering.' - The World Economy
The work under review scores very high marks.' - The Economic Journal
The chapters are written by people who are excellently qualified and frequently well-known in their field ... The book's strengths lie in the range of contributors, the very high quality of most of the contributors and its emphasis on applied economics. For these reasons alone it is an important book, which will be invaluable both to students and to economists wishing to learn about developments in other branches of their discipline.' - Economica

First there was Edwin A. Abbott's remarkable Flatland, published in 1884, and one of the all-time classics of popular mathematics. Now, from mathematician and accomplished science writer Ian Stewart, comes what Nature calls "a superb sequel." Through larger-than-life characters and an inspired story line, Flatterland explores our present understanding of the shape and origins of the universe, the nature of space, time, and matter, as well as modern geometries and their applications. The journey begins when our heroine, Victoria Line, comes upon her great-great-grandfather A. Square's diary, hidden in the attic. The writings help her to contact the Space Hopper, who tempts her away from her home and family in Flatland and becomes her guide and mentor through ten dimensions. In the tradition of Alice in Wonderland and The Phantom Toll Booth, this magnificent investigation into the nature of reality is destined to become a modern classic.

Many people think mathematics is useless. They're wrong. In the UK, the 2.8 million people employed in mathematical science occupations contributed GBP208 billion to the economy in a single year -- that's 10 per cent of the workforce contributing 16 per cent of the economy. What's the Use? asks why there is such a vast gulf between public perceptions of mathematics and reality. It shows how mathematics is vital, often in surprising ways, behind the scenes of daily life. How politicians pick their voters. How an absurd little puzzle solved 300 years ago leads to efficient methods for kidney transplants. How an Irish mathematician's obsession with a new number system improves special effects in movies and computer games. How SatNav relies on at least six mathematical techniques. And how a bizarre, infinitely wiggly curve, helps to optimise deliveries to your door.

* 41 in-depth essays cover current economic theory and applied economics in a single, comprehensive volume
* Interfaces section considers economics as it relates to other disciplines
* Extensive notes, bibliographies and suggestions for further reading; detailed index of Topics and People

`A treasure-house of stimulating argument and vast amounts of, mostly, well marshalled information. The market for general survey volumes, while already crowded, should surely find room for this offering.' - The World Economy
`The work under review scores very high marks.' - The Economic Journal
`The chapters are written by people who are excellently qualified and frequently well-known in their field ... The book's strengths lie in the range of contributors, the very high quality of most of the contributors and its emphasis on applied economics. For these reasons alone it is an important book, which will be invaluable both to students and to economists wishing to learn about developments in other branches of their discipline.' - Economica

Like its wildly popular predecessors Cabinet of Mathematical Curiosities and Hoard of Mathematical Treasures, Professor Stewart's brand-new book is a miscellany of over 150 mathematical curios and conundrums, packed with trademark humour and numerous illustrations.In addition to the fascinating formulae and thrilling theorems familiar to Professor Stewart's fans, the Casebook follows the adventures of the not-so-great detective Hemlock Soames and his sidekick Dr John Watsup (immortalised in the phrase 'Watsup, Doc?'). By a remarkable coincidence they live at 222B Baker Street, just across the road from their more illustrious neighbour who, for reasons known only to Dr Watsup, is never mentioned by name. A typical item is 'The Case of the Face-Down Aces', a mathematical magic trick of quite devilish cunning... Ranging from one-liners to four-page investigations from the frontiers of mathematical research, the Casebook reveals Professor Stewart at his challenging and entertaining best.

There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincare Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

Ian Stewart, author of the bestselling Professor Stewart's Cabinet of Mathematical Curiosities, presents a new and magical mix of games, puzzles, paradoxes, brainteasers, and riddles. He mingles these with forays into ancient and modern mathematical thought, appallingly hilarious mathematical jokes, and enquiries into the great mathematical challenges of the present and past. Amongst a host of arcane and astonishing facts about every kind of number from irrational or imaginary to complex or cuneiform, we find out: how to organise chaos; how matter balances anti-matter; how to turn a sphere inside out (without creasing it...); why you can't comb a hairy ball; how to calculate pi by observing the stars. And we get some tantalising glimpses of the maths of life and the universe.Mind-stretching, enlightening and endlessly amusing, Professor Stewart's new entertainment will stimulate, delight, and enthral.

Ian Stewart explores the astonishing properties of numbers from 1 to10 to zero and infinity, including one figure that, if you wrote it out, would span the universe. He looks at every kind of number you can think of -- real, imaginary, rational, irrational, positive and negative -- along with several you might have thought you couldn't think of. He explains the insights of the ancient mathematicians, shows how numbers have evolved through the ages, and reveals the way numerical theory enables everyday life. Under Professor Stewart's guidance you will discover the mathematics of codes, Sudoku, Rubik's cube, music, primes and pi. You may be surprised to find you live in eleven-dimensional space, that of the twenty-three people on a football pitch two are more likely than not to share the same birthday, and that forty-two is a very interesting number. Professor Stewart's Incredible Numbers will delight everyone who loves numbers -- including those who currently think they don't.

A critically introduced and edited collection of new letters and an essay by the philosopher Adam Ferguson Includes 36 new letters and one essay published for the first time and contextualised within Ferguson's oeuvre Helps to fill in large gaps in Ferguson's biography Presents new angles on major areas of study including the East India Company, the Regency Crisis, Scottish reactions to the French Revolution, and contemporary perceptions of Adam Smith's Political Economy, among others Reveals the political influence that the Moderates of the Scottish Enlightenment, such as Ferguson, Hugh Blair (1718-1800), and Alexander Carlyle (1722-1805), attempted to exert on British foreign policy in the late 1790s This volume will publish for the first time thirty-six, until now, unpublished letters, as well as a new essay on the French Revolution, by the moral philosopher, historian and man-of-letters Adam Ferguson (1723-1816). A major figure in the Scottish Enlightenment, Ferguson has been one of the principal beneficiaries of the refocus of scholarly attention beyond the towering figures of David Hume (1711-1776) and Adam Smith (1723-1790) and toward their larger intellectual network. Penned during the last decades of his life, they were all addressed to his close friend Sir John Macpherson. They concern major topics of the day such as Enlightenment, Empire, and the French Revolution, as well as various illuminating details about Ferguson's final decades. They add considerably to our knowledge of the late Scottish Enlightenment. Located in a recent acquisition at the British Library, these previously unnoticed letters add considerably to our knowledge of Ferguson, his ideas - philosophical, historical, and political - and his intellectual milieu from 1784 to 1815. A substantial introductory essay presents the main findings, while critical apparatus will assist specialists and students alike in understanding this key Enlightenment thinker.

Mathematician Ian Stewart tells readers what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical-what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.

School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincare Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...

Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles's proof of Fermat's Last Theorem opened many new areas for future work. New to the Fourth Edition Provides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper's proof that Z( 14) is Euclidean Presents an important new result: Mihailescu's proof of the Catalan conjecture of 1844 Revises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and others that led to the long-sought proof of Fermat's Last Theorem Improves and updates the index, figures, bibliography, further reading list, and historical remarks Written by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory.

Which mathematician elaborated a crucial concept the night before he died in a duel? Who funded his maths and medical career through gambling and chess? Who learned maths from her wallpaper?

Ian Stewart presents the extraordinary lives and amazing discoveries of twenty-five of history's greatest mathematicians from Archimedes and Liu Hui to Benoit Mandelbrot and William Thurston. His subjects are the inspiring individuals from all over the world who have made crucial contributions to mathematics. They include the rediscovered geniuses Srinivasa Ramanujan and Emmy Noether, alongside the towering figures of Muhammad al-Khwarizmi (inventor of the algorithm), Pierre de Fermat, Isaac Newton, Carl Friedrich Gauss, Nikolai Ivanovich Lobachevsky, Bernhard Reimann (precursor to Einstein), Henri Poincaré, Ada Lovelace (arguably the first computer programmer), Kurt Gödel and Alan Turing.

Ian Stewart's vivid accounts are fascinating in themselves and, taken together, cohere into a riveting history of key steps in the development of mathematics.

A new partnership of biologists and mathematicians is picking apart the hidden complexity of animals and plants to throw fresh light on the behaviour of entire organisms, how they interact and how changes in biological diversity affect the planet's ecological balance. Mathematics offers new and sometimes startling perspectives on evolution and how patterns of inheritance and population work out over time-scales ranging from millions to hundreds of years - as well as what's going on to change us right now. Ian Stewart, in characteristically clear and entertaining fashion, explores these and a whole range of pertinent issues, including how far genes control behaviour and the nature of life itself. He shows how far mathematicians and biologists are succeeding in tackling some of the most difficult scientific problems the human race has ever confronted and where their research is currently taking us.

Most people are familiar with history's great equations: Newton's Law of Gravity, for instance, or Einstein's theory of relativity. But the way these mathematical breakthroughs have contributed to human progress is seldom appreciated. In "In Pursuit of the Unknown," celebrated mathematician Ian Stewart untangles the roots of our most important mathematical statements to show that equations have long been a driving force behind nearly every aspect of our lives. Using seventeen of our most crucial equations--including the Wave Equation that allowed engineers to measure a building's response to earthquakes, saving countless lives, and the Black-Scholes model, used by bankers to track the price of financial derivatives over time--Stewart illustrates that many of the advances we now take for granted were made possible by mathematical discoveries. An approachable, lively, and informative guide to the mathematical building blocks of modern life, "In Pursuit of the Unknown "is a penetrating exploration of how we have also used equations to make sense of, and in turn influence, our world.

Selling over 25,000 copies across three editions, this book provides an unrivalled introduction to the core concepts and basic techniques of Transactional Analysis (TA). Ian Stewart guides the reader step-by-step through the successive stages in using TA to create therapeutic change, building understanding of the way the approach works in real-life practice.

Key features of this new edition include:

-a single extended case study running through the book

-'Key ideas' panels to summarize the main ideas in each section

-Detailed discussion of 'closing the escape hatches': TA's distinctive approach to resolving the issues of suicide, self-harm or violence

-Practice Checklists offering suggested questions readers can use to appraise their own work with clients at strategic points in the text

-Space for Reflection sections and Further Reading lists to conclude each chapter.

This bestselling textbook offers trainee and practising psychotherapists and counsellors a concise, hands-on exploration of current concepts and techniques in Transactional Analysis.

Ian Stewart is Co-Director of The Berne Institute, Nottingham. He is the author of Eric Berne (SAGE, 1992) and Developing Transactional Analysis Counselling (SAGE, 1996), and co-author of TA Today (2nd edn, Lifespace, 2012).