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.

    Concisely and with a rare clarity, he demystifies how we are uncovering the inner workings of the universe and heading towards the next scientific revolution.Why are atoms so small? How did the Higgs boson save the universe? And is there a Theory of Everything? The Particle Zoo answers these and many other profound questions, and explains the big ideas of Quantum Physics, String Theory, The Big Bang and Dark Matter... and, ultimately, what we know about the true, fundamental nature of reality.

    Here, Sokal teams up with Jean Bricmont to expose the abuse of scientific concepts in the writings of today's most fashionable postmodern thinkers. From Jacques Lacan and Julia Kristeva to Luce Irigaray and Jean Baudrillard, the authors document the errors made by some postmodernists using science to bolster their arguments and theories. Witty and closely reasoned, Fashionable Nonsense dispels the notion that scientific theories are mere "narratives" or social constructions, and explored the abilities and the limits of science to describe the conditions of existence.

    The biological background provided enables students to comprehend the major problems in biochemical engineering and formulate effective solutions.

    To answer them, psychiatrist, researcher, and critically acclaimed author Jeffrey Satinover first explores the latest discoveries in neuroscience, modern physics, and radically new kinds of computing, then shows how, together, they suggest the brain embodies and amplifies the mysterious laws of quantum physics. By its doing so, Satinover argues we are elevated above the mere learning machines modern science assumes us to be. Satinover also makes two provocative predictions: We will soon construct artificial devices as free and aware as we are; as well as begin a startling re-evaluation of just who and what we are, of our place in the universe, and perhaps even of God.

    Known for its carefully developed, thoroughly integrated, step-by-step approach to problem solving, General Chemistry helps students master quantitative skills and build a lasting conceptual understanding of key chemical concepts. The Ninth Edition retains this hallmark approach and builds upon the conceptual focus through key new features and revisions.

    Contains 3000 solved problems with solutions, solved problems; an index to help you quickly locate the types of problems you want to solve; problems like those you'll find on your exams; techniques for choosing the correct approach to problems; and guidance toward efficient solutions.

    [...] Built from the ground up on a wealth of research into how readers learn physics and how they can be taught more effectively, College Physics leads readers to more proficient and long-lasting problem-solving skills, a deeper and better-connected understanding of the concepts, and a broader picture of the relevance of physics to the world around them. Force and Motion: Concepts of Motion and Mathematical Background, Motion in One Dimension, Vectors and Motion in Two Dimensions, Forces and Newton's Laws of Motion, Applying Newton's Laws, Circular Motion, Orbits, and Gravity, Rotational Motion, Equilibrium and Elasticity. Conservation Laws: Momentum, Energy and Work, Using Energy. Properties of Matter: Thermal Properties Of Matter, Fluids. Oscillations and Waves: Oscillations, Traveling Waves and Sound, Superposition and Standing Waves. For all readers interested in algebra-based college physics.

    An essential supplement to a forensic anthropology text, this reader provides case studies that demonstrate innovative approaches and practical experiences in the field. The book provides both introductory and advanced students with a strong sense of the types of cases in which forensic anthropologists become involved, as well as their professional and ethical responsibilities, the scientific rigor required, and the multidisciplinary nature of the science.

    An x-ray microscope would do the trick, or since we're dreaming, perhaps an Asimov-style nanosubmarine (unfortunately, neither is currently feasible). Think of the wonders we could witness firsthand: antibodies atta- ing a virus, electrical signals racing down nerve fibers, proteins building new strands of DNA. Many of the questions puzzling the current cadre of sci- tists would be answered at a glance. But the nanoscale world of molecules is separated from our everyday world of experience by a daunting million-fold difference in size, so the world of molecules is completely invisible. I created the illustrations in this book to help bridge this gulf and allow us to see the molecular structure of cells, if not directly, then in an artistic rendition. I have included two types of illustrations with this goal in mind: watercolor paintings which magnify a small portion of a living cell by one million times, showing the arrangement of molecules inside, and comput- generated pictures, which show the atomic details of individual molecules. In this second edition of The Machinery of Life, these illustrations are presented in full color, and they incorporate many of the exciting scientific advances of the 15 years since the first edition.

    Created through a "student-tested, faculty-approved" review process with over 150 students and faculty, PSYCH 2 is an engaging and accessible solution to accommodate the diverse lifestyles of today's learners.

    Discover the core skills of effective thinking; then analyze your own thought processes, identify weaknesses, and overcome them.

    Written by Susan McMurry, the Study Guide and Solutions Manual provide answers and explanations to all in-text and end-of-chapter exercises.

    It is designed as a reference for students in the physical sciences and engineering.

    When this classic work was first published in 1975, it created a new discipline and started a tumultuous round in the age-old nature versus nurture debate. Although voted by officers and fellows of the international Animal Behavior Society the most important book on animal behavior of all time, Sociobiology is probably more widely known as the object of bitter attacks by social scientists and other scholars who opposed its claim that human social behavior, indeed human nature, has a biological foundation. The controversy surrounding the publication of the book reverberates to the present day.In the introduction to this Twenty-Fifth Anniversary Edition, Edward O. Wilson shows how research in human genetics and neuroscience has strengthened the case for a biological understanding of human nature. Human sociobiology, now often called evolutionary psychology, has in the last quarter of a century emerged as its own field of study, drawing on theory and data from both biology and the social sciences.For its still fresh and beautifully illustrated descriptions of animal societies, and its importance as a crucial step forward in the understanding of human beings, this anniversary edition of Sociobiology: The New Synthesis will be welcomed by a new generation of students and scholars in all branches of learning.