Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

    The Computer Revolution may be even more life-changing than the Industrial Revolution. We can do things with computers that could never be done before, and computers can do things for us that could never be done before.But our love of computers should not cloud our thinking about their limitations.We are told that computers are smarter than humans and that data mining can identify previously unknown truths, or make discoveries that will revolutionize our lives. Our lives may well be changed, but not necessarily for the better. Computers are very good at discovering patterns, but are uselessin judging whether the unearthed patterns are sensible because computers do not think the way humans think.We fear that super-intelligent machines will decide to protect themselves by enslaving or eliminating humans. But the real danger is not that computers are smarter than us, but that we think computers are smarter than us and, so, trust computers to make important decisions for us.The AI Delusion explains why we should not be intimidated into thinking that computers are infallible, that data-mining is knowledge discovery, and that black boxes should be trusted.

    The world is also indebted to Turing's genius for the modern computer. It was clear that Turing had a remarkable mind from an early age. He taught himself to read in just three weeks. At his first school, the headmistress said, 'I have had clever and hardworking boys, but Alan has genius.' In 1954, he was found dead, poisoned by an apple laced with cyanide. This is the story of his life.

    The aim remains to provide a reference to the aspects of medical microbiology particularly important for clinical infections and chemotherapy. Geo. F. Brooks (U. of California, San Francisco), Jane

    Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

    Sipser's candid, crystal-clear style allows students at every level to understand and enjoy this field. His innovative "proof idea" sections explain profound concepts in plain English. The new edition incorporates many improvements students and professors have suggested over the years, and offers updated, classroom-tested problem sets at the end of each chapter.

    Be prepared to question the world you live in and everything you thought you knew about the universe, human origins, and the lost civilizations of the past. Discover thought-bending evidence from some of the oldest text ever written and learn the reasons why their content eventually became suppressed and hidden from most of society. Conspiracy theories or conspiracy facts, you decide what's real based on the evidence. Once you read The Stage of Time, your perspective on reality may never be quite the same way again. This book includes: -Details about the ancient civilizations that once existed around the world and the events which led to their disappearance. -Translations from ancient texts that include: The Atrahasis, Enuma Elish, Sumerian King List, Eridu Genesis, Code of Hammurabi, Emerald Tablets, and more. -The eagle and the serpent, cataclysms during the last ice age, and the influences of the Anunnaki. -Secrets of consciousness, reincarnation, spirituality, and sentient life in the universe.

    Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars.  The chapter on general relativity with new material on gravity waves, black holes, and cosmology.

    Turn to any page, and you'll find essential point-of-care guidance on all the major conditions seen in clinical medicine. Completely updated to reflect all the major advances and new clinical developments, the new edition of the Manual is the most indispensable yet. It continues to focus on diagnosis and therapy with an emphasis on patient care and offers authoritative, high-yield coverage of: Etiology and epidemiology Clinically relevant pathophysiology Signs & Symptoms o Differential Diagnosis Physical and Laboratory Findings Therapeutics o Practice GuidelinesNEW FEATURESFull-color presentation for the first time!Full-color images of clinical conditions encountered in dermatology, cardiology, and eye diseases New chapters on end-of-life care, congenital heart disease in the adult patient, non-invasive cardiac examination, and metabolic syndromeLook for these other great Harrison's titles:Harrison's Principles of Internal Medicine, 17eHarrison's Online available through Accessmedicine.com

    In this revision, the author takes a structured approach to explaining how networks function.

    Now it's time to find out how these things work. Vinay Trivedi peels back the mystery of the Internet, explains it all in the simplest terms, and gives you the knowledge you need to speak confidently when the subject turns to technology.This revised second edition of How to Speak Tech consists of two parts: the first spells out the essential terms and technologies of Internet startups to get you up to speed on the jargon you need to know; the second is a primer on the latest tech trends, including the blockchain, augmented and virtual reality, Internet of Things, and artificial intelligence.Neither the Internet nor the top tech trends are beyond anyone, given the right teaching. This book breaks down the major concepts and technologies of a modern app into bite-sized chapters, helping you understand topics that usually are not explained clearly and showing you that it's not rocket science.So go ahead, grab this book and start to speak tech.What You'll LearnUnderstand the basics of new and established technologies such as blockchain, artificial intelligence (AI), augmented and virtual reality (AR and VR), Internet of Things (IoT), software development, programming languages, databases, and moreListen intelligently and speak confidently when technologies are brought up in your businessBe confident in your grasp of terms and technologies when setting up your own organization's application Who This Book Is ForStudents who want to understand different technologies relevant to their future careers at startups and established organizations, as well as business and other non-technical professionals who encounter and require an understanding of key technical terms and trends to succeed in their rolesReviews "Finally, a book non-techies can use to understand the web technologies that are changing our lives." Paul Bottino, Executive Director, Technology and Entrepreneurship Center, Harvard University "A great book everyone can use to understand how tech startups work." Rene Reinsberg, Founder, Celo; Former VP of Emerging Products, GoDaddy "Through the simplicity of his presentation, Vinay shows that the basics of technology can be straightforwardly understood by anyone who puts in the time and effort to learn." Joseph Lassiter, Professor of Management Science, Harvard Business School and Harvard Innovation Lab

    This brief introduction shows how psycholinguistic research can act as a window to the workings of the human mind and the study of consciousness.

    KEY TOPICS For each new device or circuit, the authors describe the principle of the operation, give thorough examples, and then show its actual application. An excellent reference on modern digital systems.

    Shankar, a well-known physicist and contagiously enthusiastic educator, was among the first to offer a course through the innovative Open Yale Course program. His popular online video lectures on introductory physics have been viewed over a million times. In this concise and self-contained book based on his online Yale course, Shankar explains the fundamental concepts of physics from Galileo’s and Newton’s discoveries to the twentieth-century’s revolutionary ideas on relativity and quantum mechanics.   The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics. It provides an ideal introduction for college-level students of physics, chemistry, and engineering, for motivated AP Physics students, and for general readers interested in advances in the sciences. Instructor resources--including problem sets and sample examinations--and more information about Professor Shankar's course are available at http://oyc.yale.edu/physics/phys-200.