It expands on the foundation acquired in chemistry courses and enables students to understand the mechanisms as they come across them in your classroom or laboratory.Organic Reaction Mechanisms provides extensive coverage of various organic reaction and rearrangements with emphasis on their applications in syntheses. The authors discuss reaction pathways, such as substitutions, additions, eliminations, oxidations, reductions, aromatic substitutions, aliphatic nucleophilic substitution, and electrophilic substitutions with numerous reaction equations to show the mechanism. The text also details the various reaction intermediates, including carbocations, carbanions, free radicals, carbenes, nitrines, benzynes, arynes, ylides, and enamines.Furthermore, the reagents are surveyed throughout the text, and correlation tables are provided to aid in identifying which oxidation/reduction agents to use for oxidizing/reducing various types of compounds. The applications of organic reagents are illustrated with examples and problems at the end of each chapter, which also serve to review the mechanisms learned and topics discussed. A comprehensive discussion on organic reactions, Organic Reaction Mechanisms will benefit advanced undergraduate and graduate chemistry students in their understanding and application of organic syntheses.

    This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.

    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

    In Consilience  (a word that originally meant "jumping together"), Edward O. Wilson renews the Enlightenment's search for a unified theory of knowledge in disciplines that range from physics to biology, the social sciences and the humanities.Using the natural sciences as his model, Wilson forges dramatic links between fields. He explores the chemistry of the mind and the genetic bases of culture. He postulates the biological principles underlying works of art from cave-drawings to Lolita. Presenting the latest findings in prose of wonderful clarity and oratorical eloquence, and synthesizing it into a dazzling whole, Consilience is science in the path-clearing traditions of Newton, Einstein, and Richard Feynman.

    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.

    Together these twenty-one articles on a wide range of today's most leading topics in science, from Dennis Overbye, Jonathan Weiner, and Richard Preston, among others, represent the full spectrum of scientific inquiry, proving once again that "good science writing is evidently plentiful" (American Scientist).

    Whether they bind computers, economies, or terrorist organizations, networks are everywhere in the real world, yet only recently have scientists attempted to explain their mysterious workings.From epidemics of disease to outbreaks of market madness, from people searching for information to firms surviving crisis and change, from the structure of personal relationships to the technological and social choices of entire societies, Watts weaves together a network of discoveries across an array of disciplines to tell the story of an explosive new field of knowledge, the people who are building it, and his own peculiar path in forging this new science.

    The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement"Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

    After sampling myths explaining First Light, the story moves on to early philosophers' queries, then through the centuries, from Buddhist temples to Biblical scripture, when light was the soul of the divine.Battling darkness and despair, Gothic architects crafted radiant cathedrals while Dante dreamed a "heaven of pure light." Later, following Leonardo's advice, Renaissance artists learned to capture light on canvas. During the Scientific Revolution, Galileo gathered light in his telescope, Descartes measured the rainbow, and Newton used prisms to solidify the science of optics. But even after Newton, light was an enigma. Particle or wave? Did it flow through an invisible "ether"? Through the age of Edison and into the age of lasers, Light reveals how light sparked new wonders--relativity, quantum electrodynamics, fiber optics, and more.Although lasers now perform everyday miracles, light retains its eternal allure. "For the rest of my life," Einstein said, "I will reflect on what light is." Light explores and celebrates such curiosity.

    How to Speak Science acquaints us not only with what scientists know, but how they think--so that each of us can reason like a physicist and appreciate the world in all its beautiful chaos."The perfect example of a geeky text that is neither condescending nor highfalutin. It has sufficient genuine scientific content to keep the techies interested, while being fast-paced enough (and at times genuinely funny) to keep the neophyte on board." --E&T Magazine

    Unlike other texts, it begins with a detailed picture of the atom then builds toward chemistry's frontier, continually demonstrating how to solve problems, think about nature and matter, and visualize chemical concepts in the same ways as working chemists. The new edition incorporates features that extend the book's emphasis on modern techniques and applications while strengthening its problem solving approach. Atkins/Jones is the only book for this course featuring integrated book specific media that provides students with effective study help via a variety of electronic tools. The website at http: //www.whfreeman.com/chemicalprinciples3e has been developed simultaneously with the text and offers a range of tools for problem solving and chemical exploration

    The great thinkers of that extraordinary age, including Isaac Newton, Johannes Kepler, and Christopher Wren, are shown in the context in which they lived and worked. We learn of the correspondences they kept with their equally passionate colleagues and come to understand the unique collaborative climate that fostered virtuoso discoveries in the areas of medicine, astronomy, mathematics, biology, chemistry, botany, geography, and engineering.  Ingenious Pursuits brilliantly chronicles the true intellectual revolution that continues to shape our very understanding of ourselves, and of the world around us.

    This behavior is very much different from what we humans are used to dealing with in our everyday lives, so naturally this subject is quite hard to comprehend for many. We believed that the best way to introduce the subject reliably is to start at the beginning, presenting the observations, thoughts and conclusions of each of the world’s greatest physicists through their eyes, one at a time. In this way we hope that the reader may take an enjoyable journey through the strange truths of quantum theory and understand why the conclusions of these great minds are what they are. This book starts with the most general view of the world and gradually leads readers to those new, unbelievable but real facts about the very nature of our universe.

    In case study format, this informative reference answers questions surrounding nuclear energy, the potential of sustainable fossil fuels, and the possibilities of sharing renewable power with foreign countries. While underlining the difficulty of minimizing consumption, the tone remains positive as it debunks misinformation and clearly explains the calculations of expenditure per person to encourage people to make individual changes that will benefit the world at large.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.