This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

    The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.

    The chapters may be read independently of one another. But when read in order, they tell a more or less continuous story. We begin with some reflections about the legacy of Socrates and then go on to the existence of God, which is perhaps the most basic philosophical question of all because our answer to it influences how we will answer all the others. This leads naturally to a discussion of death and the soul, and then to more modern ideas about the nature of persons. The later chapters are about whether it is possible for us to have objective knowledge in either science or ethics. James Rachels, from the Preface Problems from Philosophy and The Truth About the World: Basic Readings in Philosophy are at once James Rachels' newest contributions to philosophy and his last. In these two books, Rachels found a culminating expression for his love of philosophy.

    Students will master the central concepts of psychology with the new 10th edition of Psychology from Benjamin Lahey. A new chapter on the Interplay of Nature and Nurture highlights the 10th edition's new organization and streamlined content . Lahey weaves scholarship based on empirical research throughout the text, ensuring an accurate portrait of contemporary psychology. The text's student-friendly writing, new chapter openers, and fresh applications make the material more relevant to students than ever before, and the proven learning system ensures that all students will grasp the concepts presented in the book. Lahey's hallmark emphasis on diversity and culture remains integrated throughout the text, making this the text for a well rounded introduction to all areas of psychology.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    Without undermining individual Bible study, private prayer, and meditation, the authors emphasize these pursuits for the purpose of both personal and community enrichment-that the whole body, as well as the individual, may be built up.Part 1 lays the groundwork of spiritual formation. Jonathan Morrow develops a distinctively evangelical theology, while Richard Averbeck writes about worship. Then Gordon Johnston and Darrell Bock delve into the text of Scripture, grounding the pursuit of spiritual formation in revealed truth.Part 2 focuses on functional aspects of spiritual formation. Klaus Issler emphasizes the importance of the heart in spiritual formation, while Reid Kisling illustrates the vital connection between character development and spiritual formation. Bill Miller explores love's role as the motivation for spiritual formation. Andrew Seidel examines servant leadership, and George Hillman extends the discussion to include the significance of calling. Gail Seidel discusses personal narrative as a catalyst for spiritual formation, and in closing, Harry Shields advocates the public preaching of the Word as a tool for spiritual formation.

    We 'moderns' can use the sixty-four hexagrams found in the I Ching as a predictive tool to enhance our lives and reconcile our spiritual and physical selves. When one consults the 'I CHing', the hexagram gives the general background of the situation, while the lines indicate the correct way in which to handle the specific circumstance. This masterful translation by Hua-Ching Ni is popular throughout the world.

    Collected from the series of blog posts starting at: https://bartoszmilewski.com/2014/10/2...Hardcover available at: http://www.blurb.com/b/9008339-catego...

     Learn the essential concepts using concrete analogies and vivid diagrams, not mechanical definitions. Calculus isn't a set of rules, it's a specific, practical viewpoint we can apply to everyday thinking. Frustrated With Abstract, Mechanical Lessons? I was too. Despite years of classes, I didn't have a strong understanding of calculus concepts. Sure, I could follow mechanical steps, but I had no lasting intuition. The classes I've seen are too long, taught in the wrong order, and without solid visualizations. Here's how this course is different: 1) It gets to the point. A typical class plods along, saving concepts like Integrals until Week 8. I want to see what calculus can offer by Minute 8. Each compact, tightly-written lesson can be read in 15 minutes. 2) Concepts are taught in their natural order. Most classes begin with the theory of limits, a technical concept discovered 150 years after calculus was invented. That's like putting a new driver into a Formula-1 racecar on day 1. We can begin with the easy-to-grasp concepts discovered 2000 years ago. 3) It has vivid analogies and visualizations. Calculus is usually defined as the "study of change"... which sounds like history or geology. Instead of an abstract definition, we'll see calculus a step-by-step viewpoint to explore patterns. 4) It's written by a human, for humans. I'm not a haughty professor or strict schoolmarm. I'm a friend who saw a fun way to internalize some difficult ideas. This course is a chat over coffee, not a keep-your-butt-in-your-seat lecture. The goal is to help you grasp the Aha! moments behind calculus in hours, not a painful semester (or a decade, in my case). Join Thousands Of Happy Readers Here's a few samples of anonymous feedback as people went through the course. The material covers a variety of levels, whether you're looking for intuitive appreciation or the specifics of the rules. "I've done all of this stuff before, and I do understand calculus intuitively, but this was the most fun I've had going through this kind of thing. The informal writing and multitude of great analogies really helps this become an enjoyable read and the rest is simple after that - you make this seem easy, but at the same time, you aren't doing it for us…This is what math education is supposed to be like :)" "I have psychology and medicine background so I relate your ideas to my world. To me the most useful idea was what each circle production feels like. Rings are natural growth…Slices are automatable chunks and automation cheapens production… Boards in the shape on an Arch are psychologically most palatable for work (wind up, hard part, home stretch). Brilliant and kudos, from one INTP to another." "I like how you're introducing both derivatives and integrals at the same time - it's really helps with understanding the relationship between them. Also, I appreciate how you're coming from such a different angle than is traditionally taken - it's always interesting to see where you decide to go next." "That was breathtaking. Seriously, mail my air back please, I've grown used to it. Beautiful work, thank you. Lesson 15 was masterful. I am starting to feel calculus. "d/dx is good" (sorry, couldn't resist!)."

    It is for teachers who refuse to harden their hearts, because they love learners, learning, and the teaching life." - Parker J. Palmer [from the Introduction] Teachers choose their vocation for reasons of the heart, because they care deeply about their students and about their subject. But the demands of teaching cause too many educators to lose heart. Is it possible to take heart in teaching once more so that we can continue to do what good teachers always do -- give heart to our students?In The Courage to Teach, Parker Palmer takes teachers on an inner journey toward reconnecting with their vocation and their students -- and recovering their passion for one of the most difficult and important of human endeavors.

    This new and expanded third edition continues to offer students and readers the best one-volume introduction to the field.The bewildering variety of approaches, theorists and technical language is lucidly and expertly unraveled. Unlike many books which assume certain positions about the critics and the theories they represent, Peter Barry allows readers to develop their own ideas once first principles and concepts have been grasped.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    Under the direction of Stephen Greenblatt, General Editor, the editors have reconsidered all aspects of the anthology to make it an even better teaching tool.

    Slavoj Žižek has identified the four horsemen of this coming apocalypse: the worldwide ecological crisis; imbalances within the economic system; the biogenetic revolution; and exploding social divisions and ruptures. But, he asks, if the end of capitalism seems to many like the end of the world, how is it possible for Western society to face up to the end times? In a major new analysis of our global situation, Slavok Žižek argues that our collective responses to economic Armageddon correspond to the stages of grief: ideological denial, explosions of anger and attempts at bargaining, followed by depression and withdrawal. After passing through this zero-point, we can begin to perceive the crisis as a chance for a new beginning. Or, as Mao Zedong put it, “There is great disorder under heaven, the situation is excellent.” Slavoj Žižek shows the cultural and political forms of these stages of ideological avoidance and political protest, from New Age obscurantism to violent religious fundamentalism. Concluding with a compelling argument for the return of a Marxian critique of political economy, Žižek also divines the wellsprings of a potentially communist culture—from literary utopias like Kafka’s community of mice to the collective of freak outcasts in the TV series Heroes.

    To the original selection of his writings from 1968 to 1985, this new edition adds examples of Baudrillard’s work since that time.Reviews of the First Edition“This is a good book, and the author of its selected writings, Jean Baudrillard, deserves only a share of the compliment. It is difficult to introduce a difficult author, and Mark Poster has done a brilliant job. He has selected wisely from Baudrillard’s writings. . . . More important, Poster has written what may be, pound for pound, the best introduction to a social theorist I have read. . . . Poster has somehow said everything the uninitiated needs to know before deciding to read Baudrillard.”—Contemporary Sociology“Following the lead of thinkers such as Foucault, Derrida, and Deleuze, Baudrillard engages in a task of pointing away from any traditional sociological themes. His writings demand that one turn away from convenient or customary interpretations of society and, in the process, one is forced to use his or her imagination in new ways.”—Choice“Poster’s Introduction presents what is probably as clear and intelligent an exposition of Baudrillard’s ideas as you’ll find anywhere.”—Philosophy and Literature