Математика
Различные книги в жанре МатематикаProbability, Statistics, and Stochastic Processes
Praise for the First Edition «. . . an excellent textbook . . . well organized and neatly written.» —Mathematical Reviews «. . . amazingly interesting . . .» —Technometrics Thoroughly updated to showcase the interrelationships between probability, statistics, and stochastic processes, Probability, Statistics, and Stochastic Processes, Second Edition prepares readers to collect, analyze, and characterize data in their chosen fields. Beginning with three chapters that develop probability theory and introduce the axioms of probability, random variables, and joint distributions, the book goes on to present limit theorems and simulation. The authors combine a rigorous, calculus-based development of theory with an intuitive approach that appeals to readers' sense of reason and logic. Including more than 400 examples that help illustrate concepts and theory, the Second Edition features new material on statistical inference and a wealth of newly added topics, including: Consistency of point estimators Large sample theory Bootstrap simulation Multiple hypothesis testing Fisher's exact test and Kolmogorov-Smirnov test Martingales, renewal processes, and Brownian motion One-way analysis of variance and the general linear model Extensively class-tested to ensure an accessible presentation, Probability, Statistics, and Stochastic Processes, Second Edition is an excellent book for courses on probability and statistics at the upper-undergraduate level. The book is also an ideal resource for scientists and engineers in the fields of statistics, mathematics, industrial management, and engineering.
Making Sense of Data II
A hands-on guide to making valuable decisions from data using advanced data mining methods and techniques This second installment in the Making Sense of Data series continues to explore a diverse range of commonly used approaches to making and communicating decisions from data. Delving into more technical topics, this book equips readers with advanced data mining methods that are needed to successfully translate raw data into smart decisions across various fields of research including business, engineering, finance, and the social sciences. Following a comprehensive introduction that details how to define a problem, perform an analysis, and deploy the results, Making Sense of Data II addresses the following key techniques for advanced data analysis: Data Visualization reviews principles and methods for understanding and communicating data through the use of visualization including single variables, the relationship between two or more variables, groupings in data, and dynamic approaches to interacting with data through graphical user interfaces. Clustering outlines common approaches to clustering data sets and provides detailed explanations of methods for determining the distance between observations and procedures for clustering observations. Agglomerative hierarchical clustering, partitioned-based clustering, and fuzzy clustering are also discussed. Predictive Analytics presents a discussion on how to build and assess models, along with a series of predictive analytics that can be used in a variety of situations including principal component analysis, multiple linear regression, discriminate analysis, logistic regression, and Naïve Bayes. Applications demonstrates the current uses of data mining across a wide range of industries and features case studies that illustrate the related applications in real-world scenarios. Each method is discussed within the context of a data mining process including defining the problem and deploying the results, and readers are provided with guidance on when and how each method should be used. The related Web site for the series (www.makingsenseofdata.com) provides a hands-on data analysis and data mining experience. Readers wishing to gain more practical experience will benefit from the tutorial section of the book in conjunction with the TraceisTM software, which is freely available online. With its comprehensive collection of advanced data mining methods coupled with tutorials for applications in a range of fields, Making Sense of Data II is an indispensable book for courses on data analysis and data mining at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals who are interested in learning how to accomplish effective decision making from data and understanding if data analysis and data mining methods could help their organization.
Introduction to Mathematical Philosophy
As a mathematician, philosopher, logician, historian, socialist, pacifist and social critic, Bertrand Russell is noted for his «revolt against idealism» in Britain in the early 20th century, as well as his pacifist activism during WWI, a campaign against Adolf Hitler and later the United States' involvement in the Vietnam War. In addition to his political activism, he is considered to be one of the founders of analytic philosophy, receiving the Nobel Prize in Literature in 1950 for his various humanitarian and philosophical works. He wrote his «Introduction to Mathematical Philosophy» (1919) in order to elucidate in a less technical way the main ideas of his and N.A. Whitehead's earlier «Principia Mathematica». The work focuses on mathematical logic as related to traditional and contemporary philosophy, of which Russell remarks, «logic is the youth of mathematics and mathematics is the manhood of logic.» It is regarded today as a lucid, accessible exploration of the gray area where mathematics and philosophy meet.
Critical Rationalism
David Miller elegantly and provocatively reformulates critical rationalism—the revolutionary approach to epistemology advocated by Karl Popper—by answering its most important critics. He argues for an approach to rationality freed from the debilitating authoritarian dependence on reasons and justification."Miller presents a particularly useful and stimulating account of critical rationalism. His work is both interesting and controversial . . . of interest to anyone with concerns in epistemology or the philosophy of science."—Canadian Philosophical Reviews
Another Fine Mess
Red Hen's promotional efforts for this title will include: <p>•Individualized ARC mailing 6 months pre pub date to a list of 100+ reviewers, media contacts (including our standard core list and individualized to the specific book – in this case, to political, science and humor publications and blogs) <p>• Individualized ARC mailing 4-6 months pre pub date to a list of 200+ booksellers, librarians, professors and book clubs (consideration will also be made to include A list titles in the ABA White Box mailing). <p>• IndieNext List push <p>• Awards submissions <p>• Pitches to radio stations and news outlets surrounding the author’s book tour <p>• Pitch to TEDxTalks and national and author-local TV stations <p>• Individualized ARC and/or finished copy mailings to 40-50 of author’s requested personal or professional contacts <p>• Advertising budget of $250-$500 <p>• Programming author in Red Hen’s East Coast and West Coast events series <p>• Featured book presentation at Winter Institute <p>• Featured signing slot and offsite reading at Association of Writers and Writing Programs Annual Conference (Red Hen buys an annual booth) <p>• Individualized bookmarks, which will be sent to 50+ bookstores in a mailing <p>• Inclusion in Red Hen’s online and print catalog <p>• Sharing of author/book news and events on Red Hen’s social and digital media platforms <p>• Encouraging the author to hold a national tour; write articles for pitching; reach out to book clubs; reach out to MFA programs for course adoption; create discussion questions; visit local bookstores and libraries; send eblasts to personal contacts asking for Goodreads and Amazon reviews, visits to local bookstores encouraging an IndieNext List nomination, advance copies purchases, and sharing about the book to their networks; have an active website and social media presence.
Order, Disorder and Criticality
This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.<b>Contents:</b> <ul><li>Nature of the Spin Glass Phase in Finite Dimensional (Ising) Spin Glasses <i>(J J Ruiz-Lorenzo)</i></li><li>Phase Transitions in Fermi Systems <i>(P Jakubczyk)</i></li><li>Geometrical Frustration in Interacting Self-Avoiding Walk Models of Polymers in Dilute Solution <i>(D P Foster)</i></li><li>Two-Dimensional Systems of Elongated Particles: From Diluted to Dense <i>(N I Lebovka and Y Y Tarasevich)</i></li><li>Modeling Tumor Growth: A Simple Individual-Based Model and Its Analysis <i>(Yu Kozitsky and K Pilorz)</i></li><li>Microscopic and Macroscopic Models for Vehicular and Pedestrian Flows <i>(M D Rosini)</i></li></ul><br><b>Readership:</b> Advanced undergraduates and graduate students, researchers and scientists interested in phase transitions and critical phenomena.Condensed Matter Physics;Statistical Physics;Phase Transitions;Criticality;Scaling;Complex Systems0<b>Key Features:</b><ul><li>Providing reviews of the state-of-the-art studies in various areas of phase transition theory and related topics that have currently attracted much attention</li><li>Focuses on the criticality of complex systems</li><li>Presents different aspects of complexity, analyzing systems of non-physical origin and studies the criticality of traditional complex physical objects such as disordered magnets and complex polymers</li></ul>
Counterexamples in Analysis
These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as «real variables,» starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis. The second half, encompassing higher dimensions, examines functions of two variables, plane sets, area, metric and topological spaces, and function spaces. This volume contains much that will prove suitable for students who have not yet completed a first course in calculus, and ample material of interest to more advanced students of analysis as well as graduate students. 12 figures. Bibliography. Index. Errata.
A Concise History of Mathematics
This compact, well-written history — first published in 1948, and now in its fourth revised edition — describes the main trends in the development of all fields of mathematics from the first available records to the middle of the 20th century. Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others. For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.
Calculus
Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition. Solution guide available upon request.
Differential Games
One of the definitive works in game theory, this fascinating volume offers an original look at methods of obtaining solutions for conflict situations. Combining the principles of game theory, the calculus of variations, and control theory, the author considers and solves an amazing array of problems: military, pursuit and evasion, games of firing and maneuver, athletic contests, and many other problems of conflict.Beginning with general definitions and the basic mathematics behind differential game theory, the author proceeds to examinations of increasingly specific techniques and applications: dispersal, universal, and equivocal surfaces; the role of game theory in warfare; development of an effective theory despite incomplete information; and more. All problems and solutions receive clearly worded, illuminating discussions, including detailed examples and numerous formal calculations.The product of fifteen years of research by a highly experienced mathematician and engineer, this volume will acquaint students of game theory with practical solutions to an extraordinary range of intriguing problems.