It features a visual presentation, designed to encourage learning; revised exercises to ensure clarity, balance and relevance; and clear commentary on the difficult subject of critical multivariable calculus topics.

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, and award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires - such as for play, beauty, freedom, justice, and love - and cultivates virtues essential for human flourishing.These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's and Christopher Jackson, who discovered mathematics as an inmate in a federal prison.Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can - and must - be open to all.PLEASE NOTE: If purchasing this title in the Audible version, the accompanying PDF will be available in your Audible Library along with the audio.RUNNING TIME ⇒ 6hrs. and 52mins.©2020 Francis Edward Su (P)2020 Tantor

    It covers such areas as biotechnology and biomedical engineering.

    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it will explore these, and many other, tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.

    Cases, datasets, and examples allow for a more real-world perspective and explore relevant uses of regression techniques in business today.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    He transports us back to the street where he was born “early in the final industrial century” to help us envision an America he’s known from the 1930s to the present. His subjects include his brothers, a great-uncle who gave up on America and returned to czarist Russia, a father who survived unspeakable losses, the artists and musicians who inspired him, and fellow workers at the factory who shared the best and worst of his coming of age. Throughout the collection Levine rejoices in song–Dinah Washington wailing from a jukebox in midtown Manhattan; Della Daubien hymning on the crosstown streetcar; Max Roach and Clifford Brown at a forgotten Detroit jazz palace; the prayers offered to God by an immigrant uncle dreaming of the Judean hills; the hoarse notes of a factory worker who, completing another late shift, serenades the sleeping streets. Like all of Levine’s poems, these are a testament to the durability of love, the strength of the human spirit, the persistence of life in the presence of the coming dark.

    Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

    With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del

    Designed for two-semester, beginning graduate courses in Mathematical Statistics, and for senior undergraduate Mathematics, Statistics, and Actuarial Science majors, this text retains its ongoing features and continues to provide students with background material.

    Monk's life of Wittgenstein is such a one."--"The Christian Science Monitor."

    Linear algebra is tightly integrated into the text.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    How do we reconcile common sense and science? John Searle argues vigorously that the truths of common sense and the truths of science are both right and that the only question is how to fit them together.Searle explains how we can reconcile an intuitive view of ourselves as conscious, free, rational agents with a universe that science tells us consists of mindless physical particles. He briskly and lucidly sets out his arguments against the familiar positions in the philosophy of mind, and details the consequences of his ideas for the mind-body problem, artificial intelligence, cognitive science, questions of action and free will, and the philosophy of the social sciences.