It includes complete descriptions of each sign, plus full-torso illustrations. There is also a subject index for easy reference as well as alternate signs for the same meaning.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Because the computer gathers knowledge from experience, there is no need for a human computer operator to formally specify all the knowledge that the computer needs. The hierarchy of concepts allows the computer to learn complicated concepts by building them out of simpler ones; a graph of these hierarchies would be many layers deep. This book introduces a broad range of topics in deep learning.The text offers mathematical and conceptual background, covering relevant concepts in linear algebra, probability theory and information theory, numerical computation, and machine learning. It describes deep learning techniques used by practitioners in industry, including deep feedforward networks, regularization, optimization algorithms, convolutional networks, sequence modeling, and practical methodology; and it surveys such applications as natural language processing, speech recognition, computer vision, online recommendation systems, bioinformatics, and videogames. Finally, the book offers research perspectives, covering such theoretical topics as linear factor models, autoencoders, representation learning, structured probabilistic models, Monte Carlo methods, the partition function, approximate inference, and deep generative models.Deep Learning can be used by undergraduate or graduate students planning careers in either industry or research, and by software engineers who want to begin using deep learning in their products or platforms. A website offers supplementary material for both readers and instructors.

    While these are essential, many young ecologists need to figure out how to actually do research themselves. How to Do Ecology provides nuts-and-bolts advice on how to develop a successful thesis and research program. This book presents different approaches to posing testable ecological questions. In particular, it covers the uses, strengths, and limitations of manipulative experiments in ecology. It will help young ecologists consider meaningful treatments, controls, replication, independence, and randomization in experiments, as well as where to do experiments and how to organize a season of work. This book also presents strategies for analyzing natural patterns, the value of alternative hypotheses, and what to do with negative results.Science is only part of being a successful ecologist. This engagingly written book offers students advice on working with other people and navigating their way through the land mines of research. Findings that don't get communicated are of little value. How to Do Ecology suggests effective ways to communicate information in the form of journal articles, oral presentations, and posters. Finally, it outlines strategies for developing successful grant and research proposals. Numerous checklists, figures, and boxes throughout the book summarize and reinforce the main points. In short, this book makes explicit many of the unspoken assumptions behind doing good research in ecology, and provides an invaluable resource for meaningful conversations among ecologists.

    Based on the authors' years of experience as ESL teachers and their rigorous review of past exams, this book offers proven vocabulary-building activities and exercises. Appropriate for students pursuing all academic disciplines, it features: -400 words in key categories, including food, computers, society, history, finance, politics, friendship, science, the arts, and more-Many skill-building activities and exercises, including paraphrasing, synonym and antonym matching, and prefix and suffix identification-Proven strategies for incorporating new words into everyday vocabulary-Special sections on synonyms, roots, prefixes and suffixes, and sentence structure

    A widely acclaimed writing style, vivid illustration program, and extensive highlight features--applied chapter-opening vignettes, full-color Global and National Maps, thought-provoking theme boxes, applications and exercises--capture reader's imaginations and help them see clearly how sociological concepts and issues affect not only life in general, but their individual lives as well. An accompanying CD-ROM features a library of video selections illustration major concepts and theories, animated Global and National Maps, author's tips, chapter slide shows, etc. A companion Website is also available.The Sociological Perspective. Sociological Investigation. Culture. Society. Socialization. Social Interaction in Everyday Life. Groups and Organizations. Deviance. Sexuality. Social Stratification. Social Class in the United States. Global Stratification. Gender Stratification. Race and Ethnicity. Aging and the Elderly. The Economy and Work. Politics and Government. Family. Religion. Education. Health and Medicine. Population, Urbanization, and Environment. Collective Behavior and Social Movements. Social Change: Traditional, Modern, and Postmodern Societies.For anyone interested in a cutting-edge introduction to sociology and social diversity from a global perspective.

    The Fifth Edition features updated information throughout, including new theories and models such as the Healthy Action Process Approach (HAPA) and the Community Readiness Model (CRM), sections on grant writing and preparing a budget, real-life examples of marketing principles and processes, and a new classification system for evaluation approaches and designs. Health Education, Health Promotion, Health Educators, and Program Planning, Models for Program Planning in Health Promotion, Starting the Planning Process, Assessing Needs, Measurement, Measures, Measurement Instruments and Sampling, Mission Statement, Goals, and Objectives, Theories and Models Commonly Used for Health Promotion Interventions, Interventions, Community Organizing and Community Building, Identification and Allocation of Resources, Marketing: Making Sure Programs Respond to Wants and Needs of Consumers, Implementation: Strategies and Associated Concerns, Evaluation: An Overview, Evaluation Approaches and Designs, Data Analysis and Reporting. Intended for those interested in learning the basics of planning, implementing, and evaluating health promotion programs

    Bundled (ISBN 9780534633622) textbook with InfoTrac CD-ROM.

    Newly streamlined, its signature engaging, and jargon-free instruction emphasizes cultural currency, humor, and visual argument. Students love Everything's an Argument because it helps them understand how a world of argument already surrounds them; instructors love it because it helps students construct their own personally meaningful arguments about that world. The print text is now integrated with e-Pages for Everything's an Argument, designed to take advantage of what the Web can do. Also available in a brief version without the reader and as an e-Book.

    Get the most recent updates on MLA citation in a convenient, 40-page resource based on The MLA Handbook, 8th Edition, with plenty of models. Browse our catalog or contact your representative for a full listing of updated titles and packages, or to request a custom ISBN.The unique collaborative effort of a professor of English and a professor of philosophy, Current Issues and Enduring Questions is an extensive resource for teaching argument, persuasive writing, and rigorous critical thinking. This extraordinarily versatile text and reader continues to address current student interests and trends in argument, research, and writing.Its comprehensive coverage of classic and contemporary approaches to argument includes Aristotelian, Toulmin, and a range of alternative views, including a new chapter on analyzing and writing about arguments in popular culture. Readings on contemporary controversies (including student loan debt, locavorism, and the boundaries of online privacy) and classical philosophical questions (such as How free is the will of the individual?) are sure to spark student interest and lively discussion and writing, and new e-Pages take advantage of what the Web can do by including videos, speeches, film trailers, and other multimodal arguments.

    Taking his own spiritual journey as a starting point, Professor Ayoub explores all aspects of Islam; from the Qur'an and Islamic law to the epic poetry of the Sufis; from the spread of Islam worldwide to reform movements in the US and Europe.

    As in the authors' bestselling "Film Art", concepts and events are illustrated with actual frame enlargements, giving students more realistic points of reference than competing books that use publicity stills.

    Because the information in the unconscious is in an unruly and often disturbing form, a "censor" in the preconscious will not allow it to pass unaltered into the conscious. During dreams, the preconscious is more lax in this duty than in waking hours, but is still attentive: as such, the unconscious must distort and warp the meaning of its information to make it through the censorship. As such, images in dreams are often not what they appear to be, according to Freud, and need deeper interpretation if they are to inform on the structures of the unconscious.

    He encouraged to inquire into the origin of consciousness and the illusory nature of arising phenomena. The primary reason for the book’s effectiveness is that the author enjoys a profound intuition of his teacher's realization."This sequel to I am That and Seeds of Consciousness continues the moving account of a genuine master of Advaita Vedanta."-David Diaman (The Laughing Man)

    It avoids the typical encyclopedic approach of surveys in favor of examining selected but highly representative works in greater depth and from an enlarged spectrum of critical discourse. Organized along chronological lines, topics explore the ideas, forms, events, artists, and works with each chapter devoted to a style, movement, or decade from Cezanne, Seurat, Gauguin, and Van Gogh through Minimalism and the general reaction known as Post-Modernism. Ideal for readers with a "general" interest in art. "