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IRobot - uMan
by Ulrich Furbach Ulrike BarthelmeßWarum werden Roboter oft als bedrohlich empfunden? Können künstliche Systeme Emotionen und Bewusstsein haben? Die Autoren gehen von der These aus, dass die Literatur- und Geistesgeschichte uns helfen kann, aktuelle Entwicklungen der Robotik unvoreingenommen zu betrachten. Denn ob es um mittelalterliche Mythen, androide Roboter der Romantik, die Aufklärung oder die Entwicklung der künstlichen Intelligenz geht, stets stellt sich die Frage nach dem, was der Mensch ist, was sein Bewusstsein ausmacht und was ihn von anderen Wesen unterscheidet.
Irrationality and Transcendence in Number Theory
by David AngellIrrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material. Features Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background
Irrationality, Transcendence and the Circle-Squaring Problem: An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire (Logic, Epistemology, and the Unity of Science #58)
by Eduardo Dorrego López Elías Fuentes GuillénThis publication includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728–1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations are accompanied by a contextualised study of each of these works and provide an overview of Lambert’s contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself. Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mémoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle.
Irrationality, Transcendence and the Circle-Squaring Problem: An Annotated Translation of J. H. Lambert’s Vorläufige Kenntnisse and Mémoire (Logic, Epistemology, and the Unity of Science #58)
by Eduardo Dorrego López Elías Fuentes GuillénThis publication, now in its second edition, includes an unabridged and annotated translation of two works by Johann Heinrich Lambert (1728–1777) written in the 1760s: Vorläufige Kenntnisse für die, so die Quadratur und Rectification des Circuls suchen and Mémoire sur quelques propriétés remarquables des quantités transcendentes circulaires et logarithmiques. The translations, as in the first edition, are accompanied by a contextualised study of each of these works and provide an overview of Lambert’s contributions, showing both the background and the influence of his work. In addition, by adopting a biographical approach, it allows readers to better get to know the scientist himself.Lambert was a highly relevant scientist and polymath in his time, admired by the likes of Kant, who despite having made a wide variety of contributions to different branches of knowledge, later faded into an undeserved secondary place with respect to other scientists of the eighteenth century. In mathematics, in particular, he is famous for his research on non-Euclidean geometries, although he is likely best known for having been the first who proved the irrationality of pi. In his Mémoire, he conducted one of the first studies on hyperbolic functions, offered a surprisingly rigorous proof of the irrationality of pi, established for the first time the modern distinction between algebraic and transcendental numbers, and based on such distinction, he conjectured the transcendence of pi and therefore the impossibility of squaring the circle.
The Irrationals: A Story of the Numbers You Can't Count On
by Julian HavilThe ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. InThe Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition seems so simple: they are numbers that cannot be expressed as a ratio of two integers, or that have decimal expansions that are neither infinite nor recurring. But, asThe Irrationalsshows, these are the real "complex" numbers, and they have an equally complex and intriguing history, from Euclid's famous proof that the square root of 2 is irrational to Roger Apry's proof of the irrationality of a number called Zeta(3), one of the greatest results of the twentieth century. In between, Havil explains other important results, such as the irrationality of e and pi. He also discusses the distinction between "ordinary" irrationals and transcendentals, as well as the appealing question of whether the decimal expansion of irrationals is "random". Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.
The Irrationals: A Story of the Numbers You Can't Count On (Princeton Science Library #135)
by Julian HavilAn entertaining and enlightening history of irrational numbers, from ancient Greece to the twenty-first centuryThe ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define—and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.
Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method and Beyond
by Michael Th. Rassias János PintzThis volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.
Irregularity in Graphs (SpringerBriefs in Mathematics)
by Akbar Ali Gary Chartrand Ping ZhangDie Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs. In the 130 years since then, regular graphs have been a common and popular area of study. While regular graphs are typically considered to be graphs whose vertices all have the same degree, a more general interpretation is that of graphs possessing some common characteristic throughout their structure. During the past several decades, however, there has been some increased interest in investigating graphs possessing a property that is, in a sense, opposite to regularity. It is this topic with which this book deals, giving rise to a study of what might be called irregularity in graphs. Here, various irregularity concepts dealing with several topics in graph theory are described, such as degrees of vertices, graph labelings, weightings, colorings, graph structures, Eulerian and Hamiltonian properties, graph decompositions, and Ramsey-type problems.
Is Behavioral Economics Doomed: The Ordinary Versus The Extraordinary
by David K. LevineIt is fashionable to criticize economic theory for focusing too much on rationality and ignoring the imperfect and emotional way in which real economic decisions are reached. All of us facing the global economic crisis wonder just how rational economic men and women can be. Behavioral economics — an effort to incorporate psychological ideas into economics — has become all the rage. <p><p> This book by well-known economist David K. Levine questions the idea that behavioral economics is the answer to economic problems. It explores the successes and failures of contemporary economics both inside and outside the laboratory. It then asks whether popular behavioral theories of psychological biases are solutions to the failures. It not only provides an overview of popular behavioral theories and their history, but also gives the reader the tools for scrutinizing them. <p> Levine’s book is essential reading for students and teachers of economic theory and anyone interested in the psychology of economics.
Is Free Speech Racist? (Debating Race)
by Gavan TitleyThe question of free speech is never far from the headlines and frequently declared to be in crisis. Starting from the observation that such debates so often focus on what can and cannot be said in relation to race, Gavan Titley asks why racism has become so central to intense disputes about the status and remit of freedom of speech. Is Free Speech Racist? moves away from recurring debates about the limits of speech to instead examine how the principle of free speech is marshalled in today’s multicultural and intensively mediated societies. This involves tracing the ways in which free speech has been mobilized in far-right politics, in the recycling of ‘race realism’ and other discredited forms of knowledge, and in the politics of immigration and integration. Where there is intense political contestation and public confusion as to what constitutes racism and who gets to define it, ‘free speech’ has been adopted as a primary mechanism for amplifying and re-animating racist ideas and racializing claims. As such, contemporary free speech discourse reveals much about the ongoing life of race and racism in contemporary society.
Is 'Fuzzy Theory' an Appropriate Tool for Large Size Problems?
by Ranjit BiswasThework in this book is based on philosophical as well as logical views on thesubject of decoding the 'progress' of decision making process inthe cognition system of a decision maker (be it a human or an animal or a birdor any living thing which has a brain) while evaluating the membership valueµ(x) in a fuzzy set or in an intuitionistic fuzzy set or in anysuch soft computing set model or in a crisp set. A new theory isintroduced called by "Theory of CIFS". The following two hypothesisare hidden facts in fuzzy computing or in any soft computing process :- Fact-1: A decision maker(intelligent agent) can never use or apply 'fuzzy theory'or any soft-computing set theory without intuitionistic fuzzy system. Fact-2 : The Fact-1 does notnecessarily require that a fuzzy decision maker (or a crisp ordinary decisionmaker or a decision maker with any other soft theory models or a decision makerlike animal/bird which has brain, etc. ) must be aware orknowledgeable about IFS Theory! The "Theory ofCIFS" is developed with a careful analysis unearthing the correctness of thesetwo facts. Two examples of 'decision making problems' with complete solutionsare presented out of which one example will show the dominance of theapplication potential of intuitionistic fuzzy set theory over fuzzy set theory,and the other will show the converse i. e. the dominance of theapplication potential of fuzzy set theory over intuitionistic fuzzy set theoryin some cases. The "Theory of CIFS" may be viewed to belong to the subjects :Theory of Intuitionistic Fuzzy Sets, Soft Computing, Artificial Intelligence,etc.
Is God a Mathematician?
by Mario LivioNobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that -- mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is "a product of human thought that is independent of experience," how can it so accurately describe and even predict the world around us? Mathematicians themselves often insist that their work has no practical effect. The British mathematician G. H. Hardy went so far as to describe his own work this way: "No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world." He was wrong. The Hardy-Weinberg law allows population geneticists to predict how genes are transmitted from one generation to the next, and Hardy's work on the theory of numbers found unexpected implications in the development of codes. Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.
Is Math Real?: How Simple Questions Lead Us to Mathematics' Deepest Truths
by Eugenia ChengOne of the world&’s most creative mathematicians offers a new way to look at math—focusing on questions, not answers Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity—most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the &“dumb&” question they asked just proved they were bad at math. But Cheng shows why people who ask questions like &“Why does 1 + 1 = 2?&” are at the very heart of the search for mathematical truth. Is Math Real? is a much-needed repudiation of the rigid ways we&’re taught to do math, and a celebration of the true, curious spirit of the discipline. Written with intelligence and passion, Is Math Real? brings us math as we&’ve never seen it before, revealing how profound insights can emerge from seemingly unlikely sources.
Isaac Newton on Mathematical Certainty and Method (Transformations: Studies in the History of Science and Technology)
by Niccolo GuicciardiniAn analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics.Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.
The Isaac Newton School of Driving: Physics and Your Car
by Barry ParkerFor some people, driving is an art; for others, it's a science. At the Isaac Newton School of Driving, though, every car is a laboratory on wheels and every drive an exciting journey into the world of physics. As explained by renowned science writer and physics professor Barry Parker—whose father was a car mechanic and garage owner—almost every aspect of driving involves physics. A car's performance and handling relies on fundamental concepts such as force, momentum, and energy. Its ignition system depends on the principles of electricity and magnetism. Braking relies on friction—yet another basic scientific concept—and if the brakes fail, the resulting damage, too, can be predicted using physics.Parker's first lesson describes the basic physics of driving: speed and acceleration; why you get thrown forward while braking or outward while turning; and why car advertisements boast about horsepower and torque. He goes on to discuss the thermodynamics of engines, and how they can be more fuel efficient; and what friction and traction are and how they keep a car's tires on the road, whether it's dry, wet, or icy. He also describes how simple laws of physics enable scientists to design aerodynamic cars and high-tech steering systems. Parker then explores the high-performance physics of auto racing, outlines how traffic accidents are reconstructed by police, uses chaos theory to explain why traffic jams happen, and describes what cars of the future might look like. Whether you drive a Pacer or a Porsche, The Isaac Newton School of Driving offers better—and better-informed—driving through physics.
Islamic Design: A Mathematical Approach (Mathematics And The Built Environment Ser. #2)
by David Wade Brian WichmannThis book deals with the genre of geometric design in the Islamic sphere. Part I presents an overview of Islamic history, its extraordinary spread from the Atlantic to the borders of China in its first century, its adoption of the cultural outlook of the older civilisations that it conquered (in the Middle East, Persia and Central Asia), including their philosophical and scientific achievements - from which it came to express its own unique and highly distinctive artistic and architectural forms. Part II represents the mathematical analysis of Islamic geometric designs. The presentation offers unlimited precision that allows software to reconstruct the design vision of the original artist. This book will be of interest to Islamic academics, mathematicians as well as to artists & art students.
Islamism, Arab Spring, and the Future of Democracy: World System and World Values Perspectives (Perspectives on Development in the Middle East and North Africa (MENA) Region)
by Leonid Grinin Andrey Korotayev Arno TauschThis book provides an in-depth analysis of public opinion patterns among Muslims, particularly in the Arab world. On the basis of data from the World Values Survey, the Arab Barometer Project and the Arab Opinion Index, it compares the dynamics of Muslim opinion structures with global publics and arrives at social scientific predictions of value changes in the region. Using country factor scores from a variety of surveys, it also develops composite indices of support for democracy and a liberal society on a global level and in the Muslim world, and analyzes a multivariate model of opinion structures in the Arab world, based on over 40 variables from 12 countries in the Arab League and covering 67% of the total population of the Arab countries. While being optimistic about the general, long-term trend towards democracy and the resilience of Arab and Muslim civil society to Islamism, the book also highlights anti-Semitic trends in the region and discusses them in the larger context of xenophobia in traditional societies. In light of the current global confrontation with radical Islamism, this book provides vital material for policy planners, academics and think tanks alike.
Islamism, Crisis and Democratization: Implications of the World Values Survey for the Muslim World (Perspectives on Development in the Middle East and North Africa (MENA) Region)
by Hussein Solomon Arno TauschThis book systematically assesses the value systems of active Muslims around the globe. Based on a multivariate analysis of recent World Values Survey data, it sheds new light on Muslim opinions and values in countries such as Indonesia, Iran, Tunisia, Egypt and Turkey. Due to a lack of democratic traditions, sluggish economic growth, escalating religiously motivated violence, and dissatisfaction with ruling elites in many Muslim countries, the authors identify a crisis and return to conservative values in the Muslim world, including anti-Semitism, religious and sexual intolerance, and views on democracy and secularism, business and economic matters. Based on these observations, they offer recommendations for policymakers and civil societies in Muslim countries on how to move towards tolerance, greater democratization and more rapid economic growth.
Islands of Order: A Guide to Complexity Modeling for the Social Sciences (Princeton Studies in Complexity #33)
by J. Stephen Lansing Murray P. CoxOver the past two decades, anthropologist J. Stephen Lansing and geneticist Murray Cox have explored dozens of villages on the islands of the Malay Archipelago, combining ethnographic research with research into genetic and linguistic markers to shed light on how these societies change over time. Islands of Order draws on their pioneering fieldwork to show how the science of complexity can be used to better understand unstable dynamics in culture, language, cooperation, and the emergence of hierarchies.Complexity science has opened exciting new vistas in physics and biology, but poses challenges for social scientists. What triggers fundamental, discontinuous social change? And what brings stable patterns—islands of order—into existence? Lansing and Cox begin with an incisive and accessible introduction to models of change, from simple random drift to coupled interactions, phase transitions, co-phylogenies, and adaptive landscapes. Then they take readers on a series of journeys to the islands of the Indo-Pacific to demonstrate how social scientists can harness these powerful tools to discover out-of-equilibrium social dynamics. Lansing and Cox address empirical questions surrounding the colonization of the Pacific, the relationship of language to culture, the emergence and disappearance of male and female hierarchies, and more.Unlocking new possibilities for the social sciences, Islands of Order is accompanied by an interactive companion website that enables readers to explore the models described in the book.
Isobel Adds It Up
by Kristy EveringtonMath-loving kids, especially those who are often bothered by loud noises, will be happy there aren't any elephants around.Isobel is a problem solver . . . addition, subtraction, multiplication, division! But trying to figure out who is causing all the noise next door is one problem she can't quite work out. Is it a marching band? A basketball team in the middle of a practice? Could it be a family of elephants?Isobel doesn't know what to do about all the noise, but the solution just might come from the most unlikely place!
IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs
by Annalisa Buffa Giancarlo SangalliProviding an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. It contains a tutorial on splines and generalizations that are used in CAD parametrizations, and gives an overview of geometric modeling techniques that can be used within the isogeometric approach, with a focus on non-tensor product splines. Finally, it presents the mathematical properties of isogeometric spaces and spline spaces for vector field approximations, and treats in detail an application of fundamental importance: the isogeometric simulation of a viscous incompressible flow. The contributions were written by Carla Manni and Hendrik Speelers, Vibeke Skytt and Tor Dokken, Lourenco Beirao da Veiga, Annalisa Buffa, Giancarlo Sangalli and Rafael Vazquez, and finally by John Evans and Thomas J. R. Hughes.
Isogeometric Analysis and Applications 2014
by Bert Jüttler Bernd SimeonIsogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.
Isogeometric Analysis and Applications 2018 (Lecture Notes in Computational Science and Engineering #133)
by Harald Van Brummelen Cornelis Vuik Matthias Möller Clemens Verhoosel Bernd Simeon Bert JüttlerThis proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.
An Isogeometric Approach to Beam Structures: Bridging the Classical to Modern Technique
by Buntara S. GanThis book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements. In this volume, the author defines the Buntara Condensation Formulation: a unique formulation in condensing the dynamic equilibrium equation for beam structures, suitable for reducing the number of unlimited dynamic equations necessary to yield a classic two-node beam element. Professor Buntara's method overcomes the problem of the isogeometric approach where the number of degrees of freedom is increased along with the complexity of the geometrical beam element and facilitates implementation of the codes into the existing beam structures programs, and CAD geometrical data into the conventional FE beam element codes. The book proposes a new reduction method where the beam element can be treated as under the conventional beam element theory that has only two nodes at both ends.
The Isogeometric Boundary Element Method (Lecture Notes in Applied and Computational Mechanics #90)
by Gernot Beer Benjamin Marussig Christian DuenserThis book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.