A comprehensive introduction to optimization with a focus on practical algorithms for the design of engineering systems. This book offers a comprehensive introduction to optimization with a focus on practical algorithms. "This book presents a modern, category-theory-based approach to topology to supplement the more traditional algebraic topology graduate course"-- The 2nd edition is a substantial revision of the 1st edition, involving a reorganization of old material and the addition of new material. The length of the book has increased by about 25 percent. Found insideThis is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. Volume I presents fundamental, classical statistical concepts at the doctorate level without using measure theory. Found insideThe book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras ... This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. This classic text offers a clear exposition of modern probability theory. This book presents some of the most important modeling and prediction techniques, along with relevant applications. Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included â this is a modern method missing in many other books Probability and Statistics are studied by ... This book covers the theoretical foundations of advanced mean field methods, explores the relation between the different approaches, examines the quality of the approximation obtained, and demonstrates their application to various areas of ... The standard introductory texts to mathematical statistics leave the Bayesian approach to be taught later in advanced topics coursesâgiving students the impression that Bayesian statistics provide but a few techniques appropriate in only ... This is the first text in a generation to re-examine the purpose of the mathematical statistics course. "When shapes have the same symmetries, they share a symmetry group. This coloring book explores these these symmetrical groups through patterned illustrations that can be colored in by the reader. This volume represents the years 2000-2005. The problems and the accompanying material are well suited for math circles. They are also appropriate for problem-solving classes and practice for regional and national mathematics competitions. They then examine the Bernoulli, Poisson, and Normal (univariate and multivariate) data generating processes. The final chapter deals with sequential decision problems. This book is a valuable resource for first-year graduate students in mathematics. This book contains the best available sampling of mathematical, statistical, and computer techniques currently used by anthropologists to tackle a wide range of substantive problems. Found insideEvery chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site. "This is a graphically bold, story-driven book, accessible to readers with a middle-school math background, that engagingly introduces readers to 16 unsolved mathematical puzzles. Found insideIn 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. The Mathematics of Marriage provides the foundation for a scientific theory of marital relations. The book does not rely on metaphors, but develops and applies a mathematical model using difference equations. Found insideA coherent introductory text from a groundbreaking researcher, focusing on clarity and motivation to build intuition and understanding. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. This book has evolved from numerous graduate courses in mathematical statistics and econometrics taught by the author, and will be ideal for students beginning graduate study as well as for advanced undergraduates. This text offers a presentation of the mathematics required to tackle problems in economic analysis. This treatise by an acknowledged expert includes several topics not found in any previous book. This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Volume II of a unique survey of the whole field of pure mathematics. This book introduces techniques and algorithms in the field. This book introduces the reader to awe-inspiring issues at the intersection of philosophy and mathematics. Found inside â Page 1747... was not only a great loss for our Institute , for our University and for our country , but also for the fields of mathematics and mathematical statistics . ... 1962 ( 2 ) Wahrscheinlichkeitsrechnung , mit einem Anhang über Informationstheorie . Found insideIn order to deal with uncertainty intelligently, we need to be able to represent it and reason about it. In this book, Joseph Halpern examines formal ways of representing uncertainty and considers various logics for reasoning about it. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. Found insideThis book presents the common mathematical foundations of these data sets that apply across many applications and technologies. "An advanced-level textbook on Bayesian statisitics primarily aimed at students in the cognitive, behavioral, and social sciences"-- Found insideGames that show how mathematics can solve the apparently unsolvable. This book presents a series of engaging games that seem unsolvable--but can be solved when they are translated into mathematical terms. This book covers elementary discrete mathematics for computer science and engineering. Found insideThis is the first full-length study of how the theory of random sets can be applied in econometrics. Found insideThe remainder of the book explores the use of these methods in a variety of more complex settings. This edition includes many new examples and exercises as well as an introduction to the simulation of events and probability distributions. From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. There are no contradictions in reality, but there can appear to be. In Sleight of Mind, Matt Cook and a few collaborators dive deeply into more than 75 paradoxes in mathematics, physics, philosophy, and the social sciences. For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. This foundational text is the first comprehensive introduction to statistical natural language processing (NLP) to appear. The book contains all the theory and algorithms needed for building NLP tools. A collection of math-oriented essays previously published in Scientific American, and American Scientist. One is titled Foolproof. 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