Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    "A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven PinkerProbing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

    Also included are fascinating primary sources and background materials, an annotated bibliography, and discussions of the work by leading scholars Robert Louis Jackson, Richard Tempest, and Dariusz Tolczyk. Combining scholarship with accessibility, this critical companion--part of the acclaimed AATSEEL series--illuminates a great work of literature and will enhance its appreciation by students and teachers.

    Written with a very funny and riveting honesty as only a person with the illness can do, Bipolar Happens! offers practical knowledge and deep insights into what it is like to live with bipolar disorder.Compelling, insightful and never afraid to tell the truth , many of Julie’s readers credit this book as being their personal catalyst for change. “When I read this book I actually felt that someone really understood me, and it made me feel hope for the first time since my diagnosis. I didn’t know what it meant to be psychotic or why I got overwhelmed a lot in crowds. I learned how to manage mania much better than in the past. And now I can see that I’m not the only one who wakes up with depression. Julie is funny and so willing to say what many people won’t. This book talks about the stuff we go through that never gets put into books. The book is like reading fables. It’s not overwhelming, but you really learn a lot.”

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    An artist turned naturalist known for her botanical illustrations, she was born just sixteen years after Galileo proclaimed that the earth orbited the sun. But at the age of fifty she sailed from Europe to the New World on a solo scientific expedition to study insect metamorphosis—an unheard-of journey for any naturalist at that time, much less a woman. When she returned she produced a book that secured her reputation, only to have it savaged in the nineteenth century by scientists who disdained the work of “amateurs.” Exquisitely written and illustrated, Chrysalis takes us from golden-age Amsterdam to the Surinam tropics to modern laboratories where Merian’s insights fuel a new branch of biology. Kim Todd brings to life a seventeenth-century woman whose boldness and vision would still be exceptional today.

    Opium: A History traces the drug's astounding impact on world culture-from its religious use by prehistoric peoples to its influence on the imaginations of the Romantic writers; from the earliest medical science to the Sino-British opium wars. And, in the present day, as the addict population rises and penetrates every walk of life, Opium shows how the international multibillion-dollar heroin industry operates with terrifying efficiency and forms an integral part of the world's money markets.In this first full-length history of opium, acclaimed author Martin Booth uncovers the multifaceted nature of this remarkable narcotic and the bittersweet effects of a simple poppy with a deadly legacy.

    By presenting actual experiences and analyzing them as they are described, the author conveys the developmental thought processes employed and shows a style of thinking that leads to successful results is something that can be learned. Along with spectacular successes, the author also conveys how failures contributed to shaping the thought processes. Provides the reader with a style of thinking that will enhance a person's ability to function as a problem-solver of complex technical issues. Consists of a collection of stories about the author's participation in significant discoveries, relating how those discoveries came about and, most importantly, provides analysis about the thought processes and reasoning that took place as the author and his associates progressed through engineering problems.

    It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.

    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.

    * A beautifully designed resource chronicling one of gaming's most massive, dynamic universes! * MMORPG.com's Game of the Year 2009–2011! * 2014 marks the entry of EVE Online into its second decade!

    This text helps develop in readers the skills, knowledge and strategies needed to read and interpret research reports and to evaluate the quality of such reports.

    By following Calorie Restriction, a revolutionary diet that provides the body with fewer calories than is traditionally required, people are getting dramatic benefits. Now, with The CR Way, you too can slow the aging process; protect against cardiovascular disease, cancer, and diabetes; and increase your energy and mental capabilities. And, if needed, you'll lose weight and keep it off.Paul McGlothin and Meredith Averill, leaders of the Calorie Restriction Society, provide quick and easy menus and recipes so delicious that you will wonder why you ever wanted to eat more than you need. And for those who want some of the benefits without sacrificing all the calories, the authors will show you how to plan a diet that works for you. Groundbreaking and controversial, The CR Way is your key to a happier, healthier life.

    It was at such a time that, in a quaint village in south India, a young boy was found in deep meditation. He would say, ‘I have family everywhere. People are waiting for me.’ Nobody believed him then. Time revealed the destiny of the millions who came to him to discover themselves. Over the years, his sublime presence and pragmatic teachings would foster the values of joy, peace and love across the world. His transformative art of breathing, the Sudarshan Kriya, became a household practice, an alternative way of life that inspired people to seek self-realization. He became the guru who made the ethereal tangible, who brought about a profound shift in every sphere of human endeavour—from art to architecture, health care to rehabilitation, inner peace to outer dynamism. From a carefree child to a teenager often found in the company of saints, from a young meditation teacher to a revered spiritual Master, this book is an intimate and affectionate account of the life of Gurudev Sri Sri Ravi Shankar by his sister Bhanumathi Narasimhan, who witnessed his mystical life unfold up-close. Gurudev: On the Plateau of the Peak is an attempt to fit the ocean in a teacup, offering readers a sip of infinity.