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A New Generation of Cosmic Superstring Simulations (Springer Theses)
by José Ricardo CorreiraTopological defects are an expected consequence of phase transitions in the early Universe. As such these objects, if detected, provide unequivocal evidence of physics beyond the Standard Model. This means they are prime targets for new observational facilities. However, our understanding of defects is heavily bottlenecked by computational limitations. In this book, the author explores the use of accelerator hardware to alleviate this problem, presenting the world’s first (multiple-)GPU defect simulations. Such simulations can evolve a network of line-like cosmic strings at an unprecedented resolution. Then these are used to obtain the most accurate to date calibrations of semi-analytical modelling and to show the impact of accuracy on observational consequences of strings. Lastly, a modified version of this application is used to study interconnected networks of strings in greater detail than ever before. This book benefits any student or researcher who wishes to learn about field theory simulations in the early Universe and about supercomputing with multiple accelerators.
The New Geography of Global Income Inequality
by Glenn FirebaughThe surprising finding of this book is that, contrary to conventional wisdom, global income inequality is decreasing. Critics of globalization and others maintain that the spread of consumer capitalism is dramatically polarizing the worldwide distribution of income. But as the demographer Glenn Firebaugh carefully shows, income inequality for the world peaked in the late twentieth century and is now heading downward because of declining income inequality across nations. Furthermore, as income inequality declines across nations, it is rising within nations (though not as rapidly as it is declining across nations). Firebaugh claims that this historic transition represents a new geography of global income inequality in the twenty-first century. This book documents the new geography, describes its causes, and explains why other analysts have missed one of the defining features of our era—a transition in inequality that is reducing the importance of where a person is born in determining his or her future well-being.
A New Hypothesis on the Anisotropic Reynolds Stress Tensor for Turbulent Flows: Volume I: Theoretical Background and Development of an Anisotropic Hybrid k-omega Shear-Stress Transport/Stochastic Turbulence Model (Fluid Mechanics and Its Applications #120)
by László KönözsyThis book gives a mathematical insight--including intermediate derivation steps--into engineering physics and turbulence modeling related to an anisotropic modification to the Boussinesq hypothesis (deformation theory) coupled with the similarity theory of velocity fluctuations. Through mathematical derivations and their explanations, the reader will be able to understand new theoretical concepts quickly, including how to put a new hypothesis on the anisotropic Reynolds stress tensor into engineering practice. The anisotropic modification to the eddy viscosity hypothesis is in the center of research interest, however, the unification of the deformation theory and the anisotropic similarity theory of turbulent velocity fluctuations is still missing from the literature. This book brings a mathematically challenging subject closer to graduate students and researchers who are developing the next generation of anisotropic turbulence models. Indispensable for graduate students, researchers and scientists in fluid mechanics and mechanical engineering.
New Insights into the Theory of Giffen Goods
by Wim Heijman Pierre Von MoucheOne might expect that after their identification in the 19th century, all aspects of Giffen goods would have been studied by now. This appears not to be the case. This book contains the latest insights into the theory of Giffen goods. In the past, surprisingly few goods could be categorized as "Giffen." This may be because of a lack of understanding of the character of these goods. Therefore, the theories explained in this book may also produce a solid basis for further empirical research in the field. Experts throughout the world have contributed to this book, which predominantly pursues a mathematically rigorous approach. It may be used by researchers in the field of fundamental economics and in graduate-level courses in advanced microeconomics.
New Landscapes of Population Change: A Demographic World Tour
by Adele M. HayutinDemographic forces—declining populations in many countries and surging populations in others, aging societies, and shrinking workforces—have national, regional, and global reverberations. Behind many of today's news headlines lie critical challenges rooted in worldwide demographic upheaval, with important implications for our future. New Landscapes of Population Change demonstrates how fertility, life expectancy, and migration, the key demographic drivers, interact to shape this future. Hayutin takes readers on a demographic world tour, focusing her analysis on key regions and countries—the largest economies, selected emerging economies, fast-growing populations, and major political hot spots—that will drive pivotal conversations in the decades ahead. More than 100 compelling and easy-to-read charts illustrate striking comparisons that will help readers develop a comprehensive understanding of how demographics will influence economic security and political stability through the end of our century.
The New Liberty: Survival and Justice in a Changing World: The Reith Lectures (Ralf Dahrendorf on Class & Society #4)
by Ralf DahrendorfOriginally published in 1975, Ralf Dahrendorf’s Reith Lectures were an important contribution to public debate, exploring as they do the theme of the new liberty and being concerned to refashion liberalism to cope with the problems and tension of contemporary societies. The analysis covers endemic economic problems, such as growth, inflation and development, the complex nature of organizations, and the problems of political representation.
A New Look at Geometry (Dover Books on Mathematics)
by Ruth Adler Irving Adler Peter RuaneThis richly detailed overview surveys the development and evolution of geometrical ideas and concepts from ancient times to the present. In addition to the relationship between physical and mathematical spaces, it examines the interactions of geometry, algebra, and calculus. The text proves many significant theorems and employs several important techniques. Chapters on non-Euclidean geometry and projective geometry form brief, self-contained treatments.More than 100 exercises with answers and 200 diagrams illuminate the text. Teachers, students (particularly those majoring in mathematics education), and mathematically minded readers will appreciate this outstanding exploration of the role of geometry in the development of Western scientific thought.Introduction to the Dover edition by Peter Ruane.
The New Math: A Political History
by Christopher J. PhillipsAn era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. It was also the era of new math. Introduced to US schools in the late 1950s and 1960s, the new math was a curricular answer to Cold War fears of American intellectual inadequacy. In the age of Sputnik and increasingly sophisticated technological systems and machines, math class came to be viewed as a crucial component of the education of intelligent, virtuous citizens who would be able to compete on a global scale. In this history, Christopher J. Phillips examines the rise and fall of the new math as a marker of the period’s political and social ferment. Neither the new math curriculum designers nor its diverse legions of supporters concentrated on whether the new math would improve students’ calculation ability. Rather, they felt the new math would train children to think in the right way, instilling in students a set of mental habits that might better prepare them to be citizens of modern society—a world of complex challenges, rapid technological change, and unforeseeable futures. While Phillips grounds his argument in shifting perceptions of intellectual discipline and the underlying nature of mathematical knowledge, he also touches on long-standing debates over the place and relevance of mathematics in liberal education. And in so doing, he explores the essence of what it means to be an intelligent American—by the numbers.
The New Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of Its Creators
by Alexander SoiferThe New Mathematical Coloring Book (TNMCB) includes striking results of the past 15-year renaissance that produced new approaches, advances, and solutions to problems from the first edition. A large part of the new edition “Ask what your computer can do for you,” presents the recent breakthrough by Aubrey de Grey and works by Marijn Heule, Jaan Parts, Geoffrey Exoo, and Dan Ismailescu. TNMCB introduces new open problems and conjectures that will pave the way to the future keeping the book in the center of the field. TNMCB presents mathematics of coloring as an evolution of ideas, with biographies of their creators and historical setting of the world around them, and the world around us.A new thing in the world at the time, TMCB I is now joined by a colossal sibling containing more than twice as much of what only Alexander Soifer can deliver: an interweaving of mathematics with history and biography, well-seasoned with controversy and opinion. –Peter D. Johnson, Jr.Auburn UniversityLike TMCB I, TMCB II is a unique combination of Mathematics, History, and Biography written by a skilled journalist who has been intimately involved with the story for the last half-century. …The nature of the subject makes much of the material accessible to students, but also of interest to working Mathematicians. … In addition to learning some wonderful Mathematics, students will learn to appreciate the influences of Paul Erdős, Ron Graham, and others.–Geoffrey ExooIndiana State UniversityThe beautiful and unique Mathematical coloring book of Alexander Soifer is another case of “good mathematics”, containing a lot of similar examples (it is not by chance that Szemerédi’s Theorem story is included as well) and presenting mathematics as both a science and an art…–Peter MihókMathematical Reviews, MathSciNetA postman came to the door with a copy of the masterpiece of the century. I thank you and the mathematics community should thank you for years to come. You have set a standard for writing about mathematics and mathematicians that will be hard to match.– Harold W. KuhnPrinceton UniversityI have never encountered a book of this kind. The best description of it I can give is that it is a mystery novel… I found it hard to stop reading before I finished (in two days) the whole text. Soifer engages the reader's attention not only mathematically, but emotionally and esthetically. May you enjoy the book as much as I did!– Branko GrünbaumUniversity of WashingtonI am in absolute awe of your 2008 book.–Aubrey D.N.J. de GreyLEV Foundation
New Medical Diagnosis Models Based on Generalized Type-2 Fuzzy Logic (SpringerBriefs in Applied Sciences and Technology)
by Patricia Melin Emanuel Ontiveros-Robles Oscar CastilloThis book presents different experimental results as evidence of the good results obtained compared with respect to conventional approaches and literature references based on fuzzy logic. Nowadays, the evolution of intelligence systems for decision making has been reached considerable levels of success, as these systems are getting more intelligent and can be of great help to experts in decision making. One of the more important realms in decision making is the area of medical diagnosis, and many kinds of intelligence systems provide the expert good assistance to perform diagnosis; some of these methods are, for example, artificial neural networks (can be very powerful to find tendencies), support vector machines, that avoid overfitting problems, and statistical approaches (e.g., Bayesian). However, the present research is focused on one of the most relevant kinds of intelligent systems, which are the fuzzy systems. The main objective of the present work is the generation of fuzzy diagnosis systems that offer competitive classifiers to be applied in diagnosis systems. To generate these systems, we have proposed a methodology for the automatic design of classifiers and is focused in the Generalized Type-2 Fuzzy Logic, because the uncertainty handling can provide us with the robustness necessary to be competitive with other kinds of methods. In addition, different alternatives to the uncertainty modeling, rules-selection, and optimization have been explored. Besides, different experimental results are presented as evidence of the good results obtained when compared with respect to conventional approaches and literature references based on Fuzzy Logic.
New Methods for Measuring and Analyzing Segregation
by Mark FossettThis book is open access under a CC BY-NC 2. 5 license. This book introduces new methods for measuring and analyzing residential segregation. It begins by placing all popular segregation indices in the "difference of group means" framework wherein index scores can be obtained as simple differences of group means on individual-level residential attainments scored from area racial composition. Drawing on the insight that in this framework index scores are additively determined by individual residential attainments, the book shows that the level of segregation in a given city can be equated to the effect of group membership (e. g. , race) on individual residential attainments. This unifies separate research traditions in the field by joining the analysis of segregation at the aggregate level with the analysis of residential attainments for individuals. Next it shows how segregation analysis can be extended by using multivariate attainment models to assess the impact of group membership (i. e. , the level of segregation for a city) while including controls for other relevant individual characteristics (e. g. , income, education, language, nativity, etc. ). It then illustrates how one can use these models to quantitatively assess the extent to which segregation traces to impacts of group membership on residential attainments versus other factors such as group differences in income. The book then shows how micro-level attainment models can be used to study macro-level variation in segregation; specifically, by estimating multi-level models of individual residential attainments to assess how the effect of group membership (i. e. , segregation index scores) vary with city characteristics. Finally, the book introduces refined versions of popular indices that are free of the vexing problem of upward bias. This improves the quality of segregation measurement directly at the level of individual cases and expanding the number of cases that can be safely included in empirical studies.
New Methods in Fixed Income Modeling: Fixed Income Modeling (Contributions to Management Science)
by Mehdi Mili Reyes Samaniego Medina Filippo Di PietroThis book presents new approaches to fixed income modeling and portfolio management techniques. Taking into account the latest mathematical and econometric developments in finance, it analyzes the hedging securities and structured instruments that are offered by banks, since recent research in the field of fixed incomes and financial markets has raised awareness for changes in market risk management strategies. The book offers a valuable resource for all researchers and practitioners interested in the theory behind fixed income instruments, and in their applications in financial portfolio management.
The New Mind of the South
by Tracy ThompsonThere are those who say the South has disappeared. But in her groundbreaking, thought-provoking exploration of the region, Tracy Thompson, a Georgia native and Pulitzer Prize finalist, asserts that it has merely drawn on its oldest tradition: an ability to adapt and transform itself. Thompson spent years traveling through the region and discovered a South both amazingly similar and radically different from the land she knew as a child. African Americans who left en masse for much of the twentieth century are returning in huge numbers, drawn back by a mix of ambition, family ties, and cultural memory. Though Southerners remain more churchgoing than other Americans, the evangelical Protestantism that defined Southern culture up through the 1960s has been torn by bitter ideological schisms. The new South is ahead of others in absorbing waves of Latino immigrants, in rediscovering its agrarian traditions, in seeking racial reconciliation, and in reinventing what it means to have roots in an increasingly rootless global culture. Drawing on mountains of data, interviews, and a whole new set of historic archives, Thompson upends stereotypes and fallacies to reveal the true heart of the South today--a region still misunderstood by outsiders and even by its own people. In that sense, she is honoring the tradition inaugurated by Wilbur Joseph Cash in 1941 in his classic, The Mind of the South. Cash's book was considered the virtual bible on the origins of Southern identity and its transformation through time. Thompson has written its sequel for the twenty-first century.
The New Mind of the South
by Tracy ThompsonThere are those who say the South has disappeared. But in her groundbreaking, thought-provoking exploration of the region, Tracy Thompson, a Georgia native and Pulitzer Prize finalist, asserts that it has merely drawn on its oldest tradition: an ability to adapt and transform itself. Thompson spent years traveling through the region and discovered a South both amazingly similar and radically different from the land she knew as a child. African Americans who left en masse for much of the twentieth century are returning in huge numbers, drawn back by a mix of ambition, family ties, and cultural memory. Though Southerners remain more churchgoing than other Americans, the evangelical Protestantism that defined Southern culture up through the 1960s has been torn by bitter ideological schisms. The new South is ahead of others in absorbing waves of Latino immigrants, in rediscovering its agrarian traditions, in seeking racial reconciliation, and in reinventing what it means to have roots in an increasingly rootless global culture. Drawing on mountains of data, interviews, and a whole new set of historic archives, Thompson upends stereotypes and fallacies to reveal the true heart of the South today--a region still misunderstood by outsiders and even by its own people. In that sense, she is honoring the tradition inaugurated by Wilbur Joseph Cash in 1941 in his classic, The Mind of the South. Cash's book was considered the virtual bible on the origins of Southern identity and its transformation through time. Thompson has written its sequel for the twenty-first century.
New Paradigms in Flow Battery Modelling (Engineering Applications of Computational Methods #16)
by Akeel A. Shah Puiki Leung Qian Xu Pang-Chieh Sui Wei XingThis book provides a comprehensive review of the latest modelling developments in flow batteries, as well as some new results and insights. Flow batteries have long been considered the most flexible answer to grid scale energy storage, and modelling is a key component in their development. Recent modelling has moved beyond macroscopic methods, towards mesoscopic and smaller scales to select materials and design components. This is important for both fundamental understanding and the design of new electrode, catalyst and electrolyte materials. There has also been a recent explosion in interest in machine learning for electrochemical energy technologies. The scope of the book includes these latest developments and is focused on advanced techniques, rather than traditional modelling paradigms. The aim of this book is to introduce these concepts and methods to flow battery researcher, but the book would have a much broader appeal since these methods also employed in other battery and fuel cell systems and far beyond. The methods will be described in detail (necessary fundamental material in Appendices). The book appeals to graduate students and researchers in academia/industry working in electrochemical systems, or those working in computational chemistry/machine learning wishing to seek new application areas.
New Paths Towards Quantum Gravity
by G. Esposito Matthias Lesch Bernhelm Booß-BavnbekAside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity. New ideas - and there are many of them for this is an exciting field of research - often diverge to a degree where it seems impossible to decide in which of the many possible direction(s) the ongoing developments should be further sustained. The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization and on gauge field path integrals. The latter one by lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity. The book will benefit everyone working or entering the field of quantum gravity research.
New Perspectives and Paradigms in Applied Economics and Business: Select Proceedings of the 7th International Conference on Applied Economics and Business, Copenhagen, Denmark, 2023 (Springer Proceedings in Business and Economics)
by William C. GartnerThis book features a collection of high-quality and peer-reviewed papers from the 2023 7th International Conference on Applied Economics and Business, which was held in Copenhagen, Denmark, during August 24-26, 2023. ICAEB is held annually as a platform for the presentation of new advances and research results in the fields of applied economics and business. Applied economics is a way of dealing with esoteric economic concepts in a practical and analytical way. It allows for decisions to be made that are underlined by theoretical economic principles but utilized in such a way that they transform into real work applications.The contributors cover topics such as environment, development, finance, forensics, information, institutions, international, labor, management, mathematics, currency, tourism and many more. Applied Economics affects all aspects of life and science and it is brought to the forefront in this collection of papers. The conference, with its aim to bring together economists from different fields, lends itself to a natural and rich collection of scientific papers all focused on the practical application of economic principles. The scope of this collection of papers will be useful to academics and practitioners who look to economics to help solve problems.
New Perspectives in Partial Least Squares and Related Methods
by Herve Abdi Wynne W. Chin Vincenzo Esposito Vinzi Giorgio Russolillo Laura TrincheraNew Perspectives in Partial Least Squares and Related Methods shares original, peer-reviewed research from presentations during the 2012 partial least squares methods meeting (PLS 2012). This was the 7th meeting in the series of PLS conferences and the first to take place in the USA. PLS is an abbreviation for Partial Least Squares and is also sometimes expanded as projection to latent structures. This is an approach for modeling relations between data matrices of different types of variables measured on the same set of objects. The twenty-two papers in this volume, which include three invited contributions from our keynote speakers, provide a comprehensive overview of the current state of the most advanced research related to PLS and related methods. Prominent scientists from around the world took part in PLS 2012 and their contributions covered the multiple dimensions of the partial least squares-based methods. These exciting theoretical developments ranged from partial least squares regression and correlation, component based path modeling to regularized regression and subspace visualization. In following the tradition of the six previous PLS meetings, these contributions also included a large variety of PLS approaches such as PLS metamodels, variable selection, sparse PLS regression, distance based PLS, significance vs. reliability, and non-linear PLS. Finally, these contributions applied PLS methods to data originating from the traditional econometric/economic data to genomics data, brain images, information systems, epidemiology, and chemical spectroscopy. Such a broad and comprehensive volume will also encourage new uses of PLS models in work by researchers and students in many fields.
New Perspectives on Approximation and Sampling Theory
by Ahmed I. Zayed Gerhard SchmeisserPaul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician. In celebration of Paul Butzer's 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multi-scale analysis, frames, and special functions. New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters self-contained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing.
New Perspectives on Malthus
by Mayhew Robert J.Thomas Robert Malthus (1766–1834) was a pioneer in demography, economics and social science more generally whose ideas prompted a new 'Malthusian' way of thinking about population and the poor. On the occasion of the two hundred and fiftieth anniversary of his birth, New Perspectives on Malthus offers an up-to-date collection of interdisciplinary essays from leading Malthus experts who reassess his work. Part one looks at Malthus's achievements in historical context, addressing not only perennial questions such as his attitude to the Poor Laws, but also new topics including his response to environmental themes and his use of information about the New World. Part two then looks at the complex reception of his ideas by writers, scientists, politicians and philanthropists from the period of his own lifetime to the present day, from Charles Darwin and H. G. Wells to David Attenborough, Al Gore and Amartya Sen.
New Prospects in Direct, Inverse and Control Problems for Evolution Equations
by Angelo Favini Genni Fragnelli Rosa Maria MininniThis book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.
The New S Language: A Programming Environment For Data Analysis And Graphics (Wadsworth And Brooks-cole Statistics-probability Ser.)
by R. BeckerThis book provides documentation for a new version of the S system released in 1988. The new S enhances the features that have made S popular: interactive computing, flexible graphics, data management and a large collection of functions. The new S features make possible new applications and higher-level programming, including a single unified language, user defined functions as first-class objects, symbolic computations, more accurate numerical calculations and a new approach to graphics. S now provides direct interfaces to the poowerful tool of the UNIX operating system and to algorithms implemented in Fortran and C.
New Sinc Methods of Numerical Analysis: Festschrift in Honor of Frank Stenger's 80th Birthday (Trends in Mathematics)
by Gerd BaumannThis contributed volume honors the 80th birthday of Frank Stenger who established new Sinc methods in numerical analysis.The contributions, written independently from each other, show the new developments in numerical analysis in connection with Sinc methods and approximations of solutions for differential equations, boundary value problems, integral equations, integrals, linear transforms, eigenvalue problems, polynomial approximations, computations on polyhedra, and many applications. The approximation methods are exponentially converging compared with standard methods and save resources in computation. They are applicable in many fields of science including mathematics, physics, and engineering.The ideas discussed serve as a starting point in many different directions in numerical analysis research and applications which will lead to new and unprecedented results. This book will appeal to a wide readership, from students to specialized experts.
New Statistical Developments in Data Science: SIS 2017, Florence, Italy, June 28-30 (Springer Proceedings in Mathematics & Statistics #288)
by Alessandra Petrucci Filomena Racioppi Rosanna VerdeThis volume collects the extended versions of papers presented at the SIS Conference “Statistics and Data Science: new challenges, new generations”, held in Florence, Italy on June 28-30, 2017. Highlighting the central role of statistics and data analysis methods in the era of Data Science, the contributions offer an essential overview of the latest developments in various areas of statistics research. The 35 contributions have been divided into six parts, each of which focuses on a core area contributing to “Data Science”. The book covers topics including strong statistical methodologies, Bayesian approaches, applications in population and social studies, studies in economics and finance, techniques of sample design and mathematical statistics. Though the book is mainly intended for researchers interested in the latest frontiers of Statistics and Data Analysis, it also offers valuable supplementary material for students of the disciplines dealt with here. Lastly, it will help Statisticians and Data Scientists recognize their counterparts’ fundamental role.
New Statistics for Design Researchers: A Bayesian Workflow In Tidy R (Human-computer Interaction Ser.)
by Martin SchmettowDesign Research uses scientific methods to evaluate designs and build design theories. This book starts with recognizable questions in Design Research, such as A/B testing, how users learn to operate a device and why computer-generated faces are eerie. Using a broad range of examples, efficient research designs are presented together with statistical models and many visualizations. <P><P> With the tidy R approach, producing publication-ready statistical reports is straight-forward and even non-programmers can learn this in just one day. Hundreds of illustrations, tables, simulations and models are presented with full R code and data included. <P><P> Using Bayesian linear models, multi-level models and generalized linear models, an extensive statistical framework is introduced, covering a huge variety of research situations and yet, building on only a handful of basic concepts. Unique solutions to recurring problems are presented, such as psychometric multi-level models, beta regression for rating scales and ExGaussian regression for response times. A “think-first” approach is promoted for model building, as much as the quantitative interpretation of results, stimulating readers to think about data generating processes, as well as rational decision making. <P><P> New Statistics for Design Researchers: A Bayesian Workflow in Tidy R targets scientists, industrial researchers and students in a range of disciplines, such as Human Factors, Applied Psychology, Communication Science, Industrial Design, Computer Science and Social Robotics. Statistical concepts are introduced in a problem-oriented way and with minimal formalism. Included primers on R and Bayesian statistics provide entry point for all backgrounds. A dedicated chapter on model criticism and comparison is a valuable addition for the seasoned scientist.