Mathematics Books

Book SynopsisInterpreting and Visualizing Regression Models Using Stata, Second Edition provides clear and simple examples illustrating how to interpret and visualize a wide variety of regression models. Including over 200 figures, the book illustrates linear models with continuous predictors (modeled linearly, using polynomials, and piecewise), interactions of continuous predictors, categorical predictors, interactions of categorical predictors, and interactions of continuous and categorical predictors. The book also illustrates how to interpret and visualize results from multilevel models, models where time is a continuous predictor, models with time as a categorical predictor, nonlinear models (such as logistic or ordinal logistic regression), and models involving complex survey data. The examples illustrate the use of the margins, marginsplot, contrast, and pwcompare commands. This new edition reflects new and enhanced features added to Stata, most importantly the ability to label statistical output using value labels associated with factor variables. As a result, output regarding marital status is labeled using intuitive labels like Married and Unmarried instead of using numeric values such as 1 and 2. All the statistical output in this new edition capitalizes on this new feature, emphasizing the interpretation of results based on variables labeled using intuitive value labels. Additionally, this second edition illustrates other new features, such as using transparency in graphics to more clearly visualize overlapping confidence intervals and using small sample-size estimation with mixed models. If you ever find yourself wishing for simple and straightforward advice about how to interpret and visualize regression models using Stata, this book is for you.Table of ContentsIntroduction; Continuous predictors: Linear; Continuous predictors: Polynomials; Continuous predictors: Piecewise models; Continuous by continuous interactions; Continuous by continuous by continuous interactions; Categorical predictors; Categorical by categorical interactions; Categorical by categorical by categorical interactions; Linear by categorical interactions; Polynomial by categorical interactions; Piecewise by categorical interactions; Continuous by continuous by categorical interactions; Continuous by categorical by categorical interactions; Multilevel models; Time as a continuous predictor; Time as a categorical predictor; Nonlinear models; Complex survey data

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Book SynopsisThe most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.Trade Review""This is a wonderful introduction...You may end up amazed and incredulous." - Leon M. Lederman, Nobel Laureate“The mathematics in this book is a delight: surprising, insightful, and comprehensive… the result is by turns rigorous, entertaining, and eye-poppingly speculative.”-New Scientist “…a work that, although aimed at a general audience and presupposing no knowledge of mathematics beyond the high school precalculus level, succeeds in entertaining all audiences…Educators, as well as the mathematically curious, are encouraged to pick up this volume. The discussions of Fibonacci numbers in nature, art, architecture, and music are very thorough…highly recommended.” -Choice“The authors have breathed life into what could be considered a fairly dry subject by demonstrating how commonplace items make use of the Fibonacci numbers…there is a great deal of math involved but taken step at a time, it is not that difficult to understand and this understanding leads to a an even greater appreciation of everything from a flower garden to classical music. Overall, this is an interesting if challenging read for the layperson and a gold mine for the mathematically inclined.”-Monsters and Critics “…the authors have presented a compelling and well-developed book, and one that might well make converts out of some hard-core math phobics…an elegant book that enhances their argument that mathematics is ‘the queen of sciences'.”-Education Update “…delightful…accessible to anyone who enjoys or enjoyed high school mathematics. Mathematics teachers from middle school through college will find this book fun to read and useful in the classroom. The authors consider more properties, relationships, and applications of the Fibonacci numbers than most other sources do…I enjoyed reading this book…a valuable addition to the mathematical literature.”-Mathematics Teacher

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Book SynopsisStrange happenstances and chance encounters have puzzled us for centuries. This fun and fascinating book takes readers on a journey through the mathematics behind coincidences both famous and never-before-examined. From peculiar patterns in geometry and calculus to the famous Waring Problem, and other astonishing numerical curiosities, The Call of Coincidence begins by examining the mathematical properties that underpin everything there is. Next, author Owen O’Shea – along with fictional guides Charlie Chance and the enigmatic Dr. Moogle – reveals surprising connections and correlations throughout history, including numerical coincidences behind the reign of King Richard III, the sinking of the SS Edmund Fitzgerald, the 1996 FIFA World Cup, and much, much more. By investigating the properties, puzzles, and problems within, you will gain a newfound appreciation for the beautiful simplicity of mathematics in its many forms. Featuring surprising trivia gems alongside serious questions like why there is something rather than nothing, readers will be enriched by this exploration of remarkable number coincidences and the mathematics that make them possible – and probable.

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Book SynopsisWhen Isaac Newton developed calculus in the 1600s, he was trying to tie together math and physics in an intuitive, geometrical way. But over time math and physics teaching became heavily weighted toward algebra, and less toward geometrical problem solving. However, many practicing mathematicians and physicists will get their intuition geometrically first and do the algebra later. Make:Calculus imagines how Newton might have used 3D printed models, construction toys, programming, craft materials, and an Arduino or two to teach calculus concepts in an intuitive way. The book uses as little reliance on algebra as possible while still retaining enough to allow comparison with a traditional curriculum. This book is not a traditional Calculus I textbook. Rather, it will take the reader on a tour of key concepts in calculus that lend themselves to hands-on projects. This book also defines terms and common symbols for them so that self-learners can learn more on their own.

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Book SynopsisOn August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With the stroke of a pen they set off a war for the soul of the modern world. Amir Alexander takes us from the bloody religious strife of the sixteenth century to the battlefields of the English civil war and the fierce confrontations between leading thinkers like Galileo and Hobbes. The legitimacy of popes and kings, as well as our modern beliefs in human liberty and progressive science, hung in the balance; the answer hinged on the infinitesimal. Pulsing with drama and excitement, Infinitesimal will forever change the way you look at a simple line.Trade Review'A well-spun yarn, a cracking read… engaging…unique’ -- History Today‘A gripping and thorough history of the ultimate triumph of the mathematical tool… Infinitesimal will inspire you to dig deeper into the implications of the philosophy of mathematics and knowledge’ * New Scientist *‘A complex story told with skill and verve… Alexander does an excellent job of presenting both sides of the debate.’ * THES Book of the Week *‘Amir Alexander’s enthralling book presents a controversial mathematical breakthrough, vividly describing the players and showing exactly what was at stake.’ * Tony Mann, Director of the Maths Centre, University of Greenwich and Former President of the British *“Bertrand Russell once wrote that mathematics had a ‘beauty cold and austere’… Amir Alexander shows that mathematics can also become entangled in ugliness hot and messy… [a] fascinating narrative.” * New York Times *“[Told with] high drama and thrilling tension.” * Kirkus Reviews (starred review) *‘A gripping tale of mathematical, philosophical, and theological controversies in the run-up to calculus.' * Ian Stewart, author of Professor Stewart's Cabinet of Mathematical Curiosities *‘Clever and enthralling.' -- Simon Schaffer, Professor of the History of Science, University of Cambridge‘A real-world Da Vinci Code’ * Publishers Weekly *‘Fascinating.. Amir Alexander vividly recreates a wonderfully strange chapter of scientific history... You will never look at calculus the same way again.’ -- Jordan Ellenberg, Professor of Mathematics, University of Wisconsin-Madison‘Gripping… Amir Alexander writes with elegance and verve... A page-turner full of fascinating stories about the struggles of remarkable individuals and ideas, Infinitesimal will help you understand the world at a deeper level.’ -- Edward Frenkel, Professor, University of California at Berkeley, and author of Love and Math‘We thought we knew the whole story: Copernicus, Galileo, the sun in the centre, the Church rushing to condemn. Now this remarkable book puts the deeply subversive doctrine of atomism and its accompanying mathematics at the heart of modern science.’ -- Margaret C. Jacob, Distinguished Professor of History, University of California, Los Angeles‘A seamless synthesis of cultural history and storytelling... The history of mathematics has rarely been so readable.’ -- Michael Harris, Professor of Mathematics, Columbia University and Université Paris Diderot‘You may find it hard to believe that illustrious mathematicians, philosophers, and religious thinkers would engage in a bitter dispute over infinitely small quantities. Yet this is precisely what happened in the seventeenth century. In Infinitesimal, Amir Alexander puts this fascinating battle in historical and intellectual context.’ -- Mario Livio, Astrophysicist, Space Telescope Science Institute, and author of Brilliant Blunders: Fr

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Book SynopsisIan 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.Trade ReviewBritain's most brilliant and prolific populariser of mathematics -- Alex BellosPraise for the app 'TouchPress and Stewart offer eight challenging dives into mathematical theory and practice for readers not intimidated by complex formulas and brain-bending concepts... The author swims easily through the sometimes turbid sea of numbers, and the clean graphics, sharp photos and well-designed features that accompany his lucid explanations will help draw readers along in his wake. * Kirkus *

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Book Synopsis'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 £208 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.Trade ReviewPraise for Ian Stewart: 'Humbling and inspiring. Stewart shows with his typical clarity how the power of pure thought has shaped our world for over two millennia -- Jim Al-Khalili * FRS *This is not pure maths. It is maths contaminated with wit, wisdom, and wonder ... A mind-boggling journey from the ultra trivial to the profound * New Scientist *An engaging history ... [Stewart] at his best -- Tom Whipple * Times *Captivating ... Ian Stewart shows us how math makes the world - and the rest of the universe - go round -- Steven Strogatz, Professor of Mathematics, Cornell UniversityStewart has served up the instructive equivalent of a Michelin-starred tasting menu -- Tim Radford * Guardian *Richly informative [and] revealing ... If you believe mathematics offers little of practical use, Stewart is back to show you the error of your ways * Kirkus *This is a superb Cabinet of Mathematical Curiosities that deserves a place with the classics of the genre. * Mathematics Today *Intriguing ... [Do Dice Play God? is] a challenging but rewarding trip through a quantum world of uncertainties. -- Publishers' WeeklyThe innumerate will struggle, but every reader will encounter gems and jolts in this expert analysis of probability * Kirkus *[An] entertaining guide * Wall Street Journal *[Stewart] can make tricky ideas simple ... with aplomb * LA Times *We live in a mathematically driven world in this 21st Century world that we have created, but oftentimes the mathematics is completely hidden from the end-user. Professor Stewart brings the mathematics out into the open -- Tom French * Mathematical Association of America *

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Book SynopsisEven the most enthusiastic of maths students probably at one time wondered when exactly it would all prove useful in ‘real life’. Well, maths reaches so far and wide through our world that, love it or hate it, we’re all doing maths almost every minute of every day. David Darling and Agnijo Banerjee go in search of the perfect labyrinth, journey back to the second century in pursuit of ‘bubble maths’, reveal the weirdest mathematicians in history and transform the bewildering into the beautiful, delighting us once again. Trade Review‘The brilliant combination of an accomplished science writer and a young mathematical prodigy has resulted in page after page that oozes enthusiasm, clarity and intrigue… A weird but truly wonderful read.’ -- Bobby Seagull, author of The Life-Changing Magic of Numbers and co-presenter of Monkman & Seagull’s Genius Guide to Britain‘A grand tour of the most exotic locations in the mathematical cosmos. Weirder Maths is exhilarating and entertaining, and will leave you with a wide-eyed appreciation of the world of numbers.’ -- Michael Brooks, author of 13 Things That Don’t Make Sense and The Quantum Astrologer’s Handbook

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Book SynopsisMaths is everywhere, in everything. It’s in the finest margins of modern sport. It’s in the electrical pulses of our hearts and the flight of every bird. It is our key to secret messages, lost languages and perhaps even the shape of the universe of itself. David Darling and Agnijo Banerjee reveal the mathematics at the farthest reaches of our world – from its role in the plots of novels to how animals employ numerical skills to survive. Along the way they explore what makes a genius, why a seemingly simple problem can confound the best and brightest for decades, and what might be the great discovery of the twenty-first century. As Bertrand Russell once said, ‘mathematics, rightly viewed, possesses not only truth, but supreme beauty’. Banerjee and Darling make sure we see it right again.Trade Review‘The brilliant combination of an accomplished science writer and a young mathematical prodigy.’ -- Bobby Seagull, author of The Life-Changing Magic of Numbers and co-presenter of Monkman & Seagull’s Genius Guide to Britain

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Book SynopsisThis book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.Supplementary Material:Solutions Manual is available to instructors who adopt this textbook for their courses. Please contact sales@wspc.com.

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Book SynopsisOur extraordinary world makes more (and sometimes less) sense when you wonder: What's driving the international turkey-meat boom? How does a cannonball determine a maritime boundary? Where can you wed your mobile phone? Why do septuagenarians have a better chance of summiting Mount Everest than ever? The ever-keen minds of The Economist Explains solve all these riddles and more in their latest encyclopaedic excursion around the globe. Baffle your friends and colleagues with unconventional headscratchers that shed surprising light on science, culture, world affairs and more. From the underground trade in hair to Hollywood's role in the creation of the snow globe, Truly Peculiar takes a walk on the weird side.Trade ReviewThe Father Christmas of knowledge -- Giles CorenPraise for Go Figure: Books like this make you wary of ever guessing the answer to anything -- Mark Mason * Daily Mail *

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Book SynopsisOur finances, politics, media, opportunities, information, shopping and knowledge production are mediated through algorithms and their statistical approaches to knowledge; increasingly, these methods form the organizational backbone of contemporary capitalism. Revolutionary Mathematics traces the revolution in statistics and probability that has quietly underwritten the explosion of machine learning, big data and predictive algorithms that now decide many aspects of our lives. Exploring shifts in the philosophical understanding of probability in the late twentieth century, Joque shows how this was not merely a technical change but a wholesale philosophical transformation in the production of knowledge and the extraction of value. This book provides a new and unique perspective on the dangers of allowing artificial intelligence and big data to manage society. It is essential reading for those who want to understand the underlying ideological and philosophical changes that have fueled the rise of algorithms and convinced so many to blindly trust their outputs, reshaping our current political and economic situation.Trade ReviewPraise for Deconstruction Machines: Writing in the Age of Cyberwar:Deconstruction machines provides a powerful insight into how cyberwar serves to militarize writing, threatens civic infrastructure and thereby brings war into the code and software that governs our everyday lives. * International Affairs *Praise for Deconstruction Machines: Writing in the Age of Cyberwar:This book makes an important contribution to the future of philosophy under the threat posed by cyberwar and calls us to reconsider and continue working on the philosophical and deconstructive notion of spatiality. -- Catherine MalabouRevolutionary Mathematics critically explores the mathematical systems behind the machinery of abstraction that drives capitalism today - in particular, the machine learning algorithms at the heart of the global platform economy. In linking Marxist theories of real abstraction to mathematical paradigms, such as Bayesian statistics, this challenging work equips critical thought with the tools to contest the hidden codes that run our world. -- Alex Williams, University of East AngliaI have never before read a book on statistics at one gulp, but Justin Joque's investigation into the mathematical premises of algorithmic capital is a tour de force of radical forensics as compelling as any noir thriller. -- Nick Dyer-Witheford, University of Western OntarioWhile almost everyone today is a critic of the capricious algorithms that saturate our lives, Joque takes us into the metaphysical underpinnings of these systems: the statistical methods that provide a phantom objectivity to machine learning, financial derivatives, and even scientific research writ large. Both intensely focused and rich with philosophical asides, Revolutionary Mathematics is an original and vital contribution towards understanding -- and overcoming -- digitized capitalism and its manifold oppressions. -- Gavin Mueller, author of Breaking Things at Work

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Book SynopsisMathmatters is a humorous guide to the hidden calculations that are essential to everything we do.From making a cup of coffee to negotiating traffic to selecting candidates for an interview, we can’t make it through the day without employing some essential mathematics. Did you know that there are some serious calculations involved in making the perfect cup of coffee (involving ratios)? That an understanding of Braess's paradox will mean you can remain calm about road closures on your commute as they may make your journey faster (using equations relating to speed/distance/time)? Or that your online shopping habit can teach you about game theory (mathematical models of strategies)? Full of easy-to-understand mathematics and fun, if not entirely helpful, illustrations, Mathmatters is your essential guide to understanding the rules and measures that surround us every day, and determine the outcome of every move we make, every button we press and much of our decision-making, whether we are aware of it or not.

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Book SynopsisD'oh! Fourier introduces the Fourier transform and is aimed at undergraduates in Computer Science, Mathematics, and Applied Sciences, as well as for those wishing to extend their education. Formulated around ten key points, this accessible book is light-hearted and illustrative, with many applications. The basis and deployment of the Fourier transform are covered applying real-world examples throughout inductively rather than the theoretical approach deductively.The key components of the textbook are continuous signals analysis, discrete signals analysis, image processing, applications of Fourier analysis, together with the origin and nature of the transform itself. D'oh! Fourier is reproducible via MATLAB/Octave and is supported by a comprehensive website which provides the code contained within the book.

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Book SynopsisBased on notes written during the author's many years of teaching, Analysis in Euclidean Space mainly covers Differentiation and Integration theory in several real variables, but also an array of closely related areas including measure theory, differential geometry, classical theory of curves, geometric measure theory, integral geometry, and others.With several original results, new approaches and an emphasis on concepts and rigorous proofs, the book is suitable for undergraduate students, particularly in mathematics and physics, who are interested in acquiring a solid footing in analysis and expanding their background. There are many examples and exercises inserted in the text for the student to work through independently.Analysis in Euclidean Space comprises 21 chapters, each with an introduction summarizing its contents, and an additional chapter containing miscellaneous exercises. Lecturers may use the varied chapters of this book for different undergraduate courses in analysis. The only prerequisites are a basic course in linear algebra and a standard first-year calculus course in differentiation and integration. As the book progresses, the difficulty increases such that some of the later sections may be appropriate for graduate study.

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Book SynopsisMathematical Methods and Models in Composites (Second Edition) provides an in-depth treatment of modern and rigorous mathematical methods and models applied to composites modeling on the micro-, meso-, and macro scale. There has been a steady growth in the diversity of such methods and models that are used in the analysis and characterization of composites, their behavior, and their associated phenomena and processes. This second edition expands upon the success of the first edition, and has been substantially revised and updated.Written by well-known experts in different areas of applied mathematics, physics, and composite engineering, this book is mainly focused on continuous fiber reinforced composites and their ever increasing range of applications (for example, in the aerospace industry), though it also covers other kind of composites. The chapters cover a range of topics including, but not limited to: scaling and homogenization procedures in composites, thin plate and wave solutions in anisotropic materials, laminated structures, fiber-reinforced nonlinearly elastic solids, buckling and postbuckling, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing such as resin transfer molding. The results presented are useful for the design, fabrication, testing and industrial applications of composite components and structures.This book is an essential reference for graduate and doctoral students, as well as researchers in mathematics, physics and composite engineering. Explanations and references in the book are sufficiently detailed so as to provide the necessary background to further investigate the fascinating subject of composites modeling and explore relevant research literature. It is also suitable for non-experts who wish to have an overview of the mathematical methods and models used for composites, and of the open problems in this area that require further research.

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Book SynopsisThis book introduces the reader to multiscale mathematical modeling that starts by describing a physical process at the microscopic level, and is followed by the macroscopic description of that process. There are two preliminary chapters introducing the main equations of mathematical physics and serves as revision of all of the necessary mathematical notions needed to navigate the domain of multiscale research.The author gives a rigorous presentation of the tools of mathematical modeling, as well as an evaluation of the errors of the method. This allows readers to analyze the limitations and accuracy of the method.The book is accessible to a wide range of readers, from specialists in engineering to applied mathematicians working in the applications of materials science, biophysics and medicine.

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Book SynopsisThis book provides a gentle introduction to the foundations of Algebraic Geometry, starting from computational topics (ideals and homogeneous ideals, zero loci of ideals) up to increasingly intrinsic and abstract arguments, such as 'Algebraic Varieties', whose natural continuation is a more advanced course on the theory of schemes, vector bundles, and sheaf-cohomology.Valuable to students studying Algebraic Geometry and Geometry, this title contains around 60 exercises (with solutions) to help students thoroughly understand the theories introduced in the book. Proofs of the results are carried out in full detail. Many examples are discussed in order to reinforce the understanding of both the theoretical elements and their consequences, as well as the possible applications of the material.

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Book SynopsisMathematical models are very much in the news now, as they are used to make decisions about our response to such vital areas as COVID-19 and climate change. Frequently, they are blamed for a series of dubious decisions, creating much concern amongst the general public. However, without mathematical models, we would have none of the modern technology that we take for granted, nor would we have modern health care, be able to forecast the climate, cook a potato, have electricity to power our home, or go into space.By explaining technical mathematical concepts in a way that everyone can understand and appreciate, Climate, Chaos and COVID: How Mathematical Models Describe the Universe sets the record straight and lifts the lid off the mystery of mathematical models. It shows why they work, how good they can be, the advantages and disadvantages of using them and how they make the modern world possible. The readers will be able to see the impact that the use of these models has on their lives, and will be able to appreciate both their power and their limitations.The book includes a very large number of both short and long case studies, many of which are taken directly from the author's own experiences of working as a mathematical modeller in academia, in industry, and between the two. These include COVID-19 and climate and how maths saves the whales, powers our home, gives us the material we need to live, and takes us into space.

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Book SynopsisScience & Scientists in Berlin is a richly illustrated guidebook providing informative biographies of 22 major scientists and 11 mathematicians linked to the metropolis, from polymath Gottfried W. Leibniz (b. 1646) to computer inventor Konrad Zuse (d. 1995). As well as renowned figures like Albert Einstein, the book includes scientists who deserve to be better known, such as flight pioneer Otto Lilienthal. Their world-changing achievements are described in a lively and accessible style. Follow in the footsteps of the protagonists using the comprehensive gazetteer and 18 colour maps which guide you to almost 200 sites associated with their lives: such as plaques, monuments, laboratories, museums, residences & graves. Anyone who is interested in both science and Berlin’s history, and who wants to learn about the people who created this unique past and experience the places where it comes alive, needs a guidebook like this…

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Book SynopsisHave you ever stopped to consider what goes into a painting beyond what you can see? Welcome to a fascinating journey of discovery... The Geometry of the Last Supper skilfully blends the worlds of Renaissance art, geometry and symbolism, allowing the reader to uncover, for the very first time, the simple and delicate geometry at play in the composition of Leonardo da Vinci’s masterpiece. Never before has a single and unified solution been proposed to explain the making of the Last Supper. During the Renaissance, symbolic significance was ascribed to geometrical shapes. These symbols, such as those encountered in The Geometry of the Last Supper, have an ancient history, deeply rooted in a tradition that goes back to Pythagoras and beyond. Thanks to them, the geometry presented in this book comes to life as the inner message of the Last Supper is revealed. Once the meaning of the geometry becomes clear, you will be left with the feeling of having been let into a priceless secret. Ideal for any art-lovers or any reader who enjoys looking behind the layers.

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Book Synopsis'A fantastic and varied collection of problems authored by some of the best puzzle setters around' - Alex Bellos'A book of delightful puzzles. It's just as good as you'd expect.' - Tim Harford'A marvellous miscellany of mysteries' - Simon Singh'Hours of arguing and puzzling. I loved it.' - Matt ParkerThis highly engaging collection of 70 puzzles comes from the popular weekly column in New Scientist magazine. You'll find puzzles that are great for sharing with friends at a pub, problems drawn from real-life situations, games with intriguing strategies, and puzzles with such creative and whimsical storylines that they need to be explained to be believed. With the solutions you'll read the untold back stories behind the puzzles, and a fascinating exploration of related puzzles and mathematical ideas. You'll learn why a particular puzzle adaptation involved talking to an expert in sheep genetics, which solution was thought up by the BBC Radio 5 Drive team, and outside-the-box solutions to apparently straightforward challenges. This book is a must for any lover of puzzles or recreational mathematics.Trade ReviewA marvellous miscellany of mysteries -- Simon SinghThe ultimate collection of modern puzzles [...] Hours of arguing and puzzling. I loved it. -- Matt ParkerThe wonderful Rob Eastaway has a book of delightful puzzles out this week. It's just as good as you'd expect if you know his work. * Tim Harford *A fantastic and varied collection of problems authored by some of the best puzzle setters around. -- Alex Bellos * Guardian *Table of Contentsi: Introduction PART I: THE PUZZLES 1: Pub Puzzles: Puzzles you could do in the pub 1: Creative Addition 2: The H Coins Problem 3: The Book of Numbers 4: Late for the Gate 5: Bus Change 6: Darts Challenge 7: Evening Out 8: Caesar Cipher 9: Symmetric-L 10: Which Door? ii: Virtual(ly) Reality: Puzzles inspired by situations that really happened 11: Bone Idle 12: Sunday Drivers 13: League of Nations 14: Fastest Fingers 15: Reshuffling the Cabinet 16: Amveriric's Boat 17: Express Coffee 18: Seventh Time Lucky? 19: The Two Ewes Day Paradox 20: The Hen Party Dorm iii: All Things Considered: Puzzles featuring everyday objects 21: Cutting the Battenberg 22: A Jigsaw Puzzle 23: The Nine Minute Egg 24: Murphy's Law of Socks 25: Rearranging Books 26: Hidden Faces 27: Birthday Candles 28: Lightbulb Moment 29: BLOXO Cubes 30: Knight Numbers iv: Figuring It Out: Problems that need some calculation 31: Sum Thing Wrong 32: Car Crash Maths 33: Soccerdoku 34: All Squares 35: Squarebot 36: Christmas Gifts 37: Tightwad's Safe 38: The Card Conundrum 39: Martian Food 40: Diffy v: A Matter of Time.: Clocks, time and dates 41: Pieces of Eight 42: Which Flipping Year 43: Six Weeks of Seconds 44: Lara's Birthday 45: The Mountain Pass 46: A Well-Timed Nap 47: Triplet Jump 48: Half Time 49: Seeing Red 50: One of These Days vi: Mind Games: Games with intriguing strategies 51: Catch Up 5 52: Taking the Biscuit 53: A Mexican Standoff 54: My Fair Ladybug 55: Dungeons and Diagrams 56: Ant on a Tetrahedron 57: Chopping Board 58: Éclair-Voyance 59: The Goblin Game 60: Weather or Not vii: Eccentric Tales: Puzzles with peculiar characters 61: The Cake and the Candles 62: Vive la Différence 63: Diamonds are Forever 64: Changing the Guard 65: Yam Tomorrow 66: Blurri-Ness 67: No Time to Try 68: Paintings by Numbers 69: A Piazza of Dominoes 70: Trouble Brewing viii: PART II: Solutions, Back Stories and Commentary ix: PART III x: Hints xi: Contributor Biographies xii: Acknowledgments xiii: Notes

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Book SynopsisFractals are the geometry of the natural world. They're about the broken, wrinkled, wiggly world- the uneven shapes of nature, unlike the idealised forms of Euclidean geometry. We see fractals everywhere; indeed, we are fractals ourselves. Fractal geometry is an extension of classical geometry which can make precise models of physical structures, from ferns to galaxies. It can describe the shape of a cloud as precisely as an architect can describe a house. Introducing Fractals traces the historical development of this mathematical discipline, explores its descriptive powers in the natural world, and then looks at the applications and the implications of the discoveries it has made. As John Archibald Wheeler, protégé of Niels Bohr, friend of Albert Einstein and mentor of Richard Feynman has said, 'No one will be considered scientifically literate tomorrow, who is not familiar with fractals.'

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Book SynopsisBoost your attainment and confidence in numeracy with our new BGE Level 3 Mathematics Course Book. Packed with brilliant content and beautifully designed to appeal to students and ensure all that studying sticks, this book is an essential course companion - whether you are looking for support in the classroom or help at home. It has been specifically written to meet the Curriculum for Excellence benchmarks by experienced Maths teacher, Mike Smith, and covers all the Level 3 experiences and outcomes. Bursting with worked examples and practice questions, this book will guide you through the challenges of BGE Level 3 Mathematics, helping you develop a wide range of skills. It will specifically help you to develop your mathematical understanding - you can track your progress throughout and test yourself (answers are at the back of the book); understand trickier concepts through worked examples - many are set within real life contexts that are relatable to students; lay foundations to help you suceed in your future National qualifications. It will be supported by online teaching notes and downloads of extra tasks (at no additional cost to you). This is the perfect resource for students in S1, S2 and S3!Trade ReviewTwo 5* reviews on Amazon.co.ukTable of ContentsNumber, Money, Measure Unit: Numeracy Skills, Financial Skills, Measurement Skills, Algebraic Skills / Shape, Position and Movement Unit: Geometric Skills 1: Shape, Geometric Skills 2: Angles, Symmetry and Transformation / Information Handling Unit: Data Handling Skills, Statistics and Probability Skills

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Book SynopsisBasic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.Trade ReviewFrom the reviews: "It embodies a beautiful, concise and precise treatment of the subject, with succint numerical and algebra worked examples at the right points... an excellent textbook which is also eminently suitable for self-study..." Zentralblatt MATH "This is the second edition of a text for first-year students which covers the main themes of linear algebra in a succinct and readable way. … The book is well-written, with a very high standard of proof-reading, and there are full answers to all the exercises … . It should be welcomed as an excellent introductory textbook which could be used either for self-study and to complement a course of lectures." (Gerry Leversha, The Mathematical Gazette, Vol. 87 (509), 2003)Table of ContentsPreface Forward The Algebra of Matrices Some Applications of Matrices Systems of Linear Equations Invertible Matrices Vector Spaces Linear Mappings The Matrix Connection Determinants Eigenvalues and Eigenvectors The Minimum Polynomial Computer Assistance Solutions to the Exercises index

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Book SynopsisThis book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality, and explores their common basis of scale invariance, a central unifying theme of the book.Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bring about macroscopic phenomena that cannot be understood by considering a single part alone. The phenomenology of phase transitions is introduced by considering percolation, a simple model with a purely geometrical phase transition, thus enabling the reader to become intuitively familiar with concepts such as scale invariance and renormalisation. The Ising model is then introduced, which captures a thermodynamic phase transition from a disordered to an ordered system as the temperature is lowered in zero external field. By emphasising analogies between percolation and the Ising model, the reader's intuition of phase transitions is developed so that the underlying theoretical formalism may be appreciated fully. These equilibrium systems undergo a phase transition only if an external agent finely tunes certain external parameters to particular values.Besides fractals and phase transitions, there are many examples in Nature of the emergence of such complex behaviour in slowly driven non-equilibrium systems: earthquakes in seismic systems, avalanches in granular media and rainfall in the atmosphere. A class of non-equilibrium systems, not constrained by having to tune external parameters to obtain critical behaviour, is addressed in the framework of simple models, revealing that the repeated application of simple rules may spontaneously give rise to emergent complex behaviour not encoded in the rules themselves. The common basis of complexity and criticality is identified and applied to a range of non-equilibrium systems. Finally, the reader is invited to speculate whether self-organisation in non-equilibrium systems might be a unifying concept for disparate fields such as statistical mechanics, geophysics and atmospheric physics.Visit for animations for the models in the book (available for Windows and Linux), solutions to exercises, as well as a list with corrections.Trade Review"Personally, I enjoyed reading this book very much. The arguments are clear and draw attention to a number of useful insights ... Students will find the presentation on self-organized criticality fun to read, particularly because it deals with real phenomena, such as earthquakes, rice-pile avalanches and rainfall ... I strongly agree with these authors that undergraduates need to be exposed to issues related to complexity and criticality. Their textbook is the first that I have seen that makes developing such courses feasible."Mathematical ReviewsTable of ContentsPercolation: Percolating Phase Transition; In One and Two Dimensions, and in the Bethe Lattice; Geometric Properties of Clusters; Scaling Ansatz, Scaling Functions and Scaling Relations; Universality; Real-Space Renormalisation Group; Ising Model: Review of Thermodynamics and Statistical Mechanics; Symmetry Breaking; Ferromagnetic Phase Transition; In One and Two Dimensions, and in the Mean-Field; Landau Theory of Continuous Phase Transitions; Scaling Ansatz, Scaling Functions and Scaling Relations; Universality; Real-Space Renormalisation Group; Self-Organised Criticality: BTW Model in One and Two Dimensions, and in the Mean-Field; A Rice Pile Experiment and the Oslo Model; Earthquakes and the OFC Model; Rainfall; Self-Organised Criticality as a Unifying Principle.

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Book Synopsis Catch Up Maths & Stats covers the core maths skills you will need on any life or medical sciences course including: working with fractions and powers preparation of a dilution series how to calculate standard deviation using and understanding graphs analysing enzyme kinetics choosing the right statistical test Over 200 examples are provided to show the relevance and application of maths and stats to your course. This second edition also now provides further coverage of differentiation and integration alongside nearly 70 more questions and answers to help you test your understanding. Catch Up Maths & Statswill bring you up to speed in the shortest possible time, even if you didn't study maths at advanced level.Table of ContentsMathematics section Handling numbers; Working with fractions; Percentages; Powers; Circles and spheres; Approximation and errors; Introduction to graphs; The gradient of a graph; Algebra; Polynomials; Algebraic equations; Quadratic equations; Simultaneous equations; Sequences and series of numbers; Working with powers; Logarithms; Exponential growth and decay; Differential calculus; Further differential calculus; Integral calculus; Further integral calculus; Using graphs; Recognising patterns in graphs Applications of mathematics section SI units; Moles; pH; Buffers; Kinetics Statistics section The language of statistics; Describing data: measuring averages; Standard deviation; Checking for a normal distribution; Degrees of freedom; How to use statistics to make comparisons; The standard error of the mean; Confidence intervals; Probability; Significance and P values; Tests of significance; t tests; Analysis of variance; The chi-squared test; Correlation; Regression; Bayesian statistics

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Book SynopsisWritten by bestselling author Stephen Doyle, this student book will engage and motivate you throughout the course. // Endorsed by WJEC offering high quality support you can trust. // Thorough coverage of all the topics in the AS Level Pure specification. // Extra support for the problem solving and unstructured questions in the specification. // Plenty of examples with worked answers throughout to enable you to check your understanding as you progress through the course. // Answers to questions are provided in order to check your work.Table of ContentsHow to use this book, Revision checklist, Topic 1 Proof, Topic 2 Algebra and functions, Topic 3 Coordinate geometry in the (x , y) plane, Topic 4 Sequences and series - The Binomial Theorem, Topic 5 Trigonometry, Topic 6 Exponentials and logarithms, Topic 7 Differentiation, Topic 8 Integration, Topic 9 Vectors, Formula sheet, Formulae not given you will need to know, Test yourself answers

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Book SynopsisWritten by bestselling author Stephen Doyle, this student book will engage and motivate you throughout the course. // Endorsed by WJEC offering high quality support you can trust. // Thorough coverage of all the topics in the A2 Level Pure specification. // Extra support for the problem solving and unstructured questions in the specification. // Plenty of examples with worked answers throughout to enable you to check your understanding as you progress through the course. // Answers to questions are provided in order to check your work.Table of ContentsHow to use this book, Topic 1 Proof, Topic 2 Algebra and functions, Topic 3 Sequences and series, Topic 4 Trigonometry, Topic 5 Differentiation, Topic 6 Coordinate geometry in the (x , y) plane, Topic 7 Integration, Topic 8 Numerical methods, Test yourself answers

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Book SynopsisThe Pure and Applied Revision Guide has been designed to fully support you through your Maths course and help prepare you for the AS exams. / 'Quick Revision' is a short recap on the theories and techniques needed for each topic. / 'Looking at Exam Questions' shows you how to analyse the question and the thought processes involved in answering it. / Exam practice sections at the end of every topic provides a bank of extra exam-style questions with solutions provided and the steps to take. / Features tips and suggestions for how to maximise marks in the exam.

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Book Synopsis

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Book SynopsisSome teachers think that there’s little to say about teaching with examples – after all, everyone uses them. But here are just some of the questions you might have about teaching with worked examples:How do we introduce an example?What do we ask students to do when studying a solution?Should a solution be presented all at once or revealed step-by-step?After we study an example, what comes next?Does it matter if the solution is presented as if from a fictional student, a real student in class, or from the teacher?How do we help students move from understanding someone else’s ideas towards using it on their own to solve problems?How do we write a solution in a clear way, that students can learn from?When is a good time to offer a worked example? When is it better to let students try a problem?Are worked examples more useful for some mathematical content than others?This book will answer all of these questions. In some cases, research offers answers. Other questions represent gaps in the research literature and the book offers solutions arrived at through experience and trial-and-error and the author’s own process of classroom problem solving.Welcome to the world of teaching with examples!Trade ReviewOf all the changes I have made to my teaching since I began engaging with educational research five years ago, my use of worked examples has been the most significant. I now have a structure and routine for worked examples that takes less time, my students enjoy and - most importantly of all - seems to lead to greater understanding. I thought my worked examples had peaked, and finally I could stop thinking about them. Then I read Michael's book, and my world has fallen apart again. What I find fascinating is that Michael has read much the same research as me, and yet we have reached contrasting conclusions. His worked examples look very different to mine, and yet I spent the entire book nodding in agreement. Michael makes the point that 'some of the dullest teaching on the planet comes courtesy of worked example abusers'. This is so true. If students stare blankly at a teacher's squiggles, nod their heads on cue, don't ask any awkward questions, and then frantically copy down what is on the board into their books, then maths is at risk of becoming the boring, incomprehensible subject many label it as. But the approach Michael presents is interactive, thought-provoking and interesting. There is support scaffolded in for those who initially struggle, and no ceiling imposed for those who grasp the concept more quickly. Above all, the approach has the potential to lay the foundations to enable our students to become the creative, knowledgeable, problem solvers we all want them to be. Rammed full of practical ideas - all of which are beautifully articulated and backed by research - this is a truly wonderful book. -- Craig Barton * Author of How I Wish I'd Taught Maths and Reflect, Expect, Check, Explain * So often, books about education float high above the work of teaching, with nods to the ways that big ideas and values might look in practice - but without getting much into the muck of the classroom itself. It's such a pleasure as an educator to come across a book that dives deep into instruction, while situating a very specific body of practices (in this case, teaching with worked examples) within a much broader literature on cognitive science and equitable mathematics teaching. Michael Pershan makes a compelling argument for educators to shift their focus from mathematical problem-solving to mathematical understanding - and describes the many ways that exploring and analyzing worked examples can democratize the math classroom, engage learners in rich thinking tasks, and provide targeted, thoughtful scaffolding towards the problem-solving work that math educators (rightfully) value. The book is rich with specific strategies and tools for implementing worked examples - and the theoretical grounding for those ideas, making it a wonderful resource for educators who want something 'they can enact on Monday' and something that strengthens and extends their schema about how math learning (and learning in general) works. As a bonus, it is also a human, funny, and real book about teaching stuff to kids - which is a rarity in itself and makes each chapter a pleasure to read. -- Callie Lowenstein * Deans for Impact * What do you get when you cross a teacher's generosity, a scientist's precision, and a philosopher's dogged pursuit of the truth? Two words: Michael Pershan. Michael Pershan hears the quiet moments that make education work. Reading this book, I felt he was teaching me how to listen. He takes up the humblest parts of teaching, and he makes them shine. An exemplary book, in every sense. -- Ben Orlin * Author of Math With Bad Drawings * If you could visit the classroom of a friendly colleague engaging in research-informed practice, while he conversationally whispers in your ear the what, how, and why, it would be something like reading Teaching Math with Examples. I can't recommend highly enough this very do-able and high-leverage approach to any math teacher or curriculum developer who wants to level up their task design, or just try out something new. -- Kate Nowak * Former high school math teacher and currently Vice President of Product Strategy for Illustrative Mathematics *

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Book SynopsisIn Seriously Fun Maths, Dr Laura Tuohilampi changes the narrative of mathematics education into something fascinating, intriguing and something that touches every human. Based on her cutting-edge research she challenges the outdated ways of motivating students around maths. This engaging book provides teachers with research, resources and activities to teach a lesson a month. The rich activities are accessible to young students and deep enough for secondary students. Even adults! This book will help mathematics educators reflect on their skills of orchestrating mathematical discussions and problem-solving. They will learn how to increase students'' engagement in ways that reduce stress-inducing expectations around what a ''good'' student in maths can and cannot do. Teachers will improve their grasp of what''s important - making mathematics a meaningful experience.Everyone will have serious fun while learning maths!

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Book SynopsisThe work of the Japanese sculptor Toshimasa Kikuchi (born in 1979) is somehow bewilderingly obvious. Trained in the restoration of Buddhist statues, mastering to perfection the techniques of classical Japanese statuary, he carves pure forms in wood - geometric, hydrodynamic or figurative. His scientific repertory is of all time (mathematics, engineering, natural history), but his preferred materials and techniques are firmly grounded in tradition (Japanese hinoki cypress, urushi lacquer, kinpaku gold leaf). The installation he presents for his Carte Blanche at the musee Guimet in Paris, brings together a series of slender sculptures in lacquered wood of mathematical objects, in the tradition of the celebrated photographs that Man Ray took of them. These abstract forms, hanging from the ceiling like mobiles or laid on the floor like devotional objects, take shape through a virtuosity and craftsmanship seldom found in contemporary art. The book is lavishly illustrated by the Japanese photographer Tadayuki Minamoto, who was able to capture the magnificence of the mathematical abstraction of the works of Kikuchi; by photographs and paintings by Man Ray; and with fascinating mathematical objects from the Institut Henri Poincare, Paris, photographed by the French photographer Bertrand Michau. It is essential reading for lovers of surrealism and of the early years of twentieth-century abstraction as well as for all who are intrigued by the close relationship between art and mathematics.Table of ContentsForeword by Sophie Makariou; Lustrous Abstractions: The Sculpture of Kikuchi Toshimasa by Kei Osawa; Needles : Works by Kikuchi Toshimasa, photographs by Minamoto Tadayuki; Human Equations: Man Ray's Photographs of Mathematical Models, by Edouard Sebline; Mathematical Objects - Works by Man Ray; The Collection of Mathematical Objects at the Institut Henri Poincare (IHP), by Sylvie Benzoni-Gavage; The Music of Surfaces, by Sylvie Benzoni-Gavage; Mathematical Models from the Collection of the Institut Henri Poincare, photographs by Bertrand Michau; Acknowledgements; Picture Credits

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Book SynopsisThis book provides an undergraduate introduction to analysing data for data science, computer science, and quantitative social science students. It uniquely combines a hands-on approach to data analysis – supported by numerous real data examples and reusable [R] code – with a rigorous treatment of probability and statistical principles. Where contemporary undergraduate textbooks in probability theory or statistics often miss applications and an introductory treatment of modern methods (bootstrapping, Bayes, etc.), and where applied data analysis books often miss a rigorous theoretical treatment, this book provides an accessible but thorough introduction into data analysis, using statistical methods combining the two viewpoints. The book further focuses on methods for dealing with large data-sets and streaming-data and hence provides a single-course introduction of statistical methods for data science.Trade Review“Having taught data analytics at the introductory graduate level, I welcome the authors’ textbook as an essential resource for training well-grounded entry-level data scientists. … A data scientist shall provide competent data science professional services to a client. … Training in both the theory and practice of data analytics is a requirement for such competence. The authors’ textbook definitely provides a valuable resource for such training.” (Harry J. Foxwell, Computing Reviews, July 7, 2022)Table of Contents1 A First Look at Data.- 2 Sampling Plans and Estimates.- 3 Probability Theory.- 4 Random Variables and Distributions.- 5 Estimation.- 6 Multiple Random Variables.- 7 Making Decisions in Uncertainty.- 8 Bayesian Statistics.

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Book Synopsis Provides well-written self-contained chapters, including problem sets and exercises, making it ideal for the classroom setting; Introduces applied optimization to the hazardous waste blending problem; Explores linear programming, nonlinear programming, discrete optimization, global optimization, optimization under uncertainty, multi-objective optimization, optimal control and stochastic optimal control; Includes an extensive bibliography at the end of each chapter and an index; GAMS files of case studies for Chapters 2, 3, 4, 5, and 7 are linked to http://www.springer.com/math/book/978-0-387-76634-8; Solutions manual available upon adoptions.Table of Contents1. Introduction.- 2. Linear Programming.- 3. Nonlinear Programming.-4. Discrete Optimization.- 5. Optimization Under Uncertainty.- 6. Multiobjective Optimization.- 7.Optimal Control and Dynamic Optimization.- Index.

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Book SynopsisThis volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, chessboards, and digraphs and tournaments. The third part focuses on the development of algorithms and complexity of signed, minus and majority domination, power domination, and alliances in graphs. The third part also includes a chapter on self-stabilizing algorithms. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms.The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments and proof techniques used in the field. Table of Contents1. Glossary of Common Terms (Haynes).- Part 1. Related Parameters: 2. Broadcast Domination in Graphs (MacGillivray).- 3. Alliances and Related Domination Parameters (Haynes).- 4. Fractional Domatic, Idomatic and Total Domatic Numbers of a Graph (Goddard).- 5. Dominator and Total Dominator Colorings in Graphs (Henning).- 6. Irredundance (Mynhardt).- 7. The Private Neighbor Concept (McRae).- 8. An Introduction to Game Domination in Graphs (Henning).- 9. Domination and Spectral Graph Theory (Hoppen).- 10. Varieties of Roman Domination (Chellali).- Part 2. Domination in Selected Graph Families: 11. Domination and Total Domination in Hypergraphs (Yeo).- 12. Domination in Chessboards (Hedetniemi).- 13. Domination in Digraphs (Haynes).- Part 3. Algorithms and Complexity: 14. Algorithms and Complexity of Signed, Minus and Majority Domination (McRae).- 15. Algorithms and Complexity of Power Domination in Graphs (Mohan).- 16. Self-Stabilizing Domination Algorithms (Hedetniemi).- 17. Algorithms and Complexity of Alliances in Graphs (Hedetniemi)

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