Indisputably recognized as a classic in its field, Statistics of Extremes was the first book to exclusively evaluate the relevance of maximum and minimum (extreme) values. More than fifty years after publication, it remains relevant and helpful to the contemporary work of statisticians, engineers, and scientists. In this far-sighted and important work, Gumbel explains the applications of statistical extremes and reinforces its main ideas with generalized exercises. Key topics in this book include: Aims and tools Order statistics and their exceedances Exact distribution of extremes Analytical study of extremes First asymptotic distribution Uses of the first, second, and third asymptotes Range To remain relevant to a wide audience of statisticians, Professor Gumbel relies on elementary language to convey highly technical concepts. With 47 tables and 97 graphs, the focus is on graphical procedures rather than calculations. Gumbel's original research in the 1940s was developed to predict natural disasters, but as he further refined his theory and tools of extreme statistics, it became clear it has applications in numerous fields.

This book combines the analytic principles of digital business and data science with business practice and big data. The interdisciplinary, contributed volume provides an interface between the main disciplines of engineering and technology and business administration. Written for managers, engineers and researchers who want to understand big data and develop new skills that are necessary in the digital business, it not only discusses the latest research, but also presents case studies demonstrating the successful application of data in the digital business.

CHANCE is an accessible study of Probability, Randomness, Coincidences, Uncertainty and Games. Mathematician Amir D Aczel leads you through simple explanations of each of these forces in life, and explains how you can use your new-found knowledge of these mathematical paradoxes to succeed (or at least have the best CHANCE of succeeding) in gambling, poker, love, who will win the next election and how to choose a housemate or puppy. Each of the chapters is short, self-contained and simple so readers can drop in and out, look up a problem or a theory and then go ahead and use it. For all the maths nerds, gamblers and curious people in your life.

The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 2 elaborates on Mathematical Approaches to Microeconomic Theory , including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Quantum computers will break today's most popular public-key cryptographic systems, including RSA, DSA, and ECDSA. This book introduces the reader to the next generation of cryptographic algorithms, the systems that resist quantum-computer attacks: in particular, post-quantum public-key encryption systems and post-quantum public-key signature systems. Leading experts have joined forces for the first time to explain the state of the art in quantum computing, hash-based cryptography, code-based cryptography, lattice-based cryptography, and multivariate cryptography. Mathematical foundations and implementation issues are included. This book is an essential resource for students and researchers who want to contribute to the field of post-quantum cryptography.

Gini's mean difference (GMD) was first introduced by Corrado Gini in 1912 as an alternative measure of variability. GMD and the parameters which are derived from it (such as the Gini coefficient or the concentration ratio) have been in use in the area of income distribution for almost a century. In practice, the use of GMD as a measure of variability is justified whenever the investigator is not ready to impose, without questioning, the convenient world of normality. This makes the GMD of critical importance in the complex research of statisticians, economists, econometricians, and policy makers. This book focuses on imitating analyses that are based on variance by replacing variance with the GMD and its variants. In this way, the text showcases how almost everything that can be done with the variance as a measure of variability, can be replicated by using Gini. Beyond this, there are marked benefits to utilizing Gini as opposed to other methods. One of the advantages of using Gini methodology is that it provides a unified system that enables the user to learn about various aspects of the underlying distribution. It also provides a systematic method and a unified terminology. Using Gini methodology can reduce the risk of imposing assumptions that are not supported by the data on the model. With these benefits in mind the text uses the covariance-based approach, though applications to other approaches are mentioned as well.

This is the first volume of the Handbook of Game Theory with Economic Applications, to be followed by two additional volumes. Game Theory has developed greatly in the last decade, and today it is an essential tool in much of economic theory. The three volumes will cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science, and individual chapters on relations with other disciplines. The topics covered in the present volume include chess-playing computers, an introduction to the non-cooperative theory, repeated games, bargaining theory, auctions, location, entry deterrence, patents, the cooperative theory and its applications, and the relation between Game Theory and ethics. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Relativity: A Richer Truth is a book written by Philipp Frank that explores the fundamental principles of Albert Einstein's theory of relativity. The book is a comprehensive guide that delves into the history and development of the theory, explaining the complex concepts and ideas in a clear and concise manner.The book is divided into two parts, with the first part focusing on the historical background of relativity and the second part delving into the mathematical and physical principles that underlie the theory. The author provides a detailed account of Einstein's life and work, tracing the evolution of his ideas and the scientific and philosophical debates that surrounded them.The second part of the book explores the mathematical and physical principles that form the foundation of relativity. The author explains the concepts of space-time, the equivalence principle, and the nature of gravity, among others, in a way that is accessible to readers with no prior knowledge of physics.In addition to providing a clear and comprehensive introduction to relativity, the book also highlights the broader implications of the theory for our understanding of the universe and our place within it. The author discusses the philosophical and cultural implications of relativity, exploring its impact on our concepts of time, space, and reality.Overall, Relativity: A Richer Truth is an engaging and informative book that offers readers a deeper understanding of one of the most important scientific theories of the modern era. It is a must-read for anyone interested in the history of science, physics, or the philosophical implications of relativity.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

From the reviews: “The first volume is devoted to ergodic theory and dynamical systems. It contains 19 papers divided into four groups ... . The reader will find a wealth of information and ideas that can still ignite inspiration and motivate students as well as senior researchers. The reader will also have a touch of Sinai’s personality, his taste, enthusiasm, and optimism, which are just as invaluable as his mathematical results.” (Nikolai Chernov, Mathematical Reviews, Issue 2012 e)

This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. Therefore, the book presents very versatile aspects of splitting methods and their applications, motivating the cross-fertilization of ideas.