Yoga is from the Sanskrit root meaning “union,” and a sutra is a thread or aphoristic verse. The basic questions “Who am I?” “Where am I going?” “What is the purpose of life?” are asked by each new generation, and Patanjali’s answers form one of the oldest and most vibrant spiritual texts in the world. He explains what yoga is, how it works, and exactly how to purify the mind and let it settle into absolute stillness. This stillness is our own Self. It is the indispensable ground for Enlightenment, which is the ultimate goal of all our aspirations.Alistair Shearer’s lucid introduction and superb translation, fully preserving Patanjali’s jewel-like style, bring these ancient but vital teachings to those who seek the path of self-knowledge today.Bell Tower’s series, Sacred Teachings, offers essential spiritual classics from all traditions. May each book become a trusted companion on the way of truth, encouraging readers to study the wisdom of the ages and put it into practice each day.

    Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements.Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin--who founded the famous Moscow School of Mathematics--were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite--and led to the founding of descriptive set theory.The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and -creativity.

    Its profound impact not only on art historians and theorists but also for generations of creative writers and intellectuals is almost unprecedented. Starting from the notion that beauty derives from our sense of being able to identify with an object, Worringer argues that representational art produces satisfaction from our objectified delight in the self, reflecting a confidence in the world as it is as in Renaissance art. By contrast, the urge to abstraction, as exemplified by Egyptian, Byzantine, primitive, or modern expressionist art, articulates a totally different response to the world: it expresses man s insecurity. Thus in historical periods of anxiety and uncertainty, man seeks to abstract objects from their unpredictable state and transform them into absolute, transcendental forms. Abstraction and Empathy also has a sociological dimension, in that the urge to create fixed, abstract, and geometric forms is a response to the modern experience of industrialization and the sense that individual identity is threatened by a hostile mass society. Hilton Kramer s introduction considers the influence of Worringer s thesis and places his book in historical context."

    In this small volume, Miranda Lundy presents a unique introduction to this most ancient and timeless of universal sciences.Sacred Geometry demonstrates what happens to space in two dimensions - a subject last flowering in the art, science and architecture of the Renaissance and seen in the designs of Stonehenge, mosque decorations and church windows. With exquisite hand-drawn images throughout showing the relationship between shapes, the patterns of coin circles, and the definition of the golden section, it will forever alter the way in which you look at a triangle, hexagon, arch, or spiral.

    Readers will progress from building a basic physics engine to creating intelligent moving objects and complex systems, setting the foundation for further experiments in generative design. Subjects covered include forces, trigonometry, fractals, cellular automata, self-organization, and genetic algorithms. The book's examples are written in Processing, an open-source language and development environment built on top of the Java programming language. On the book's website (http://www.natureofcode.com), the examples run in the browser via Processing's JavaScript mode.

    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

    Based on the sira, the eighth- and ninth-century Arabic biographies that recount numerous events in the prophet’s life, it contains original English translations of many important passages that reveal the words of men and women who heard Muhammad speak and witnessed the events of his life.Scrupulous and exhaustive in its fidelity to its sources, Muhammad: His Life Based on the Earliest Sources is presented in a narrative style that is easily comprehensible, yet authentic and inspiring in its use of language, reflecting both the simplicity and grandeur of the story it tells. This revised edition includes new sections detailing the prophet’s expanding influence and his spreading of the message of Islam into Syria and its neighboring states. It represents the final updates made to the text before the author’s death in 2005. The book has been published in 12 languages and has received numerous awards, including acknowledgment as best biography of the prophet in English at the National Seerate Conference in Islamabad.

    In order to understand both the spirit of Tradition and its antithesis, modern civilization, it is necessary to begin with the fundamental doctrine of the two natures. According to this doctrine there is a physical order of things and a metaphysical one; there is a mortal nature and an immortal one; there is the superior realm of "being" and the inferior realm of "becoming." Generally speaking, there is a visible and tangible dimension and, prior to and beyond it, an invisible and intangible dimension that is the support, the source, and the true life of the former." -- from chapter one. With unflinching gaze and uncompromising intensity Julius Evola analyzes the spiritual and cultural malaise at the heart of Western civilization and all that passes for progress in the modern world. As a gadfly, Evola spares no one and nothing in his survey of what we have lost and where we are headed. At turns prophetic and provocative, Revolt against the Modern World outlines a profound metaphysics of history and demonstrates how and why we have lost contact with the transcendent dimension of being. The revolt advocated by Evola does not resemble the familiar protests of either liberals or conservatives. His criticisms are not limited to exposing the mindless nature of consumerism, the march of progress, the rise of technocracy, or the dominance of unalloyed individualism, although these and other subjects come under his scrutiny. Rather, he attempts to trace in space and time the remote causes and processes that have exercised corrosive influence on what he considers to be the higher values, ideals, beliefs, and codes of conduct--the world of Tradition--that are at the foundation of Western civilization and described in the myths and sacred literature of the Indo-Europeans. Agreeing with the Hindu philosophers that history is the movement of huge cycles and that we are now in the Kali Yuga, the age of dissolution and decadence, Evola finds revolt to be the only logical response for those who oppose the materialism and ritualized meaninglessness of life in the twentieth century. Through a sweeping study of the structures, myths, beliefs, and spiritual traditions of the major Western civilizations, the author compares the characteristics of the modern world with those of traditional societies. The domains explored include politics, law, the rise and fall of empires, the history of the Church, the doctrine of the two natures, life and death, social institutions and the caste system, the limits of racial theories, capitalism and communism, relations between the sexes, and the meaning of warriorhood. At every turn Evola challenges the reader's most cherished assumptions about fundamental aspects of modern life.

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    Taking account of the most recent scholarship, Manfred Kuehn allows the reader to follow the same journey that Kant himself took in emerging as a central figure in modern philosophy. Manfred Kuehn was formerly Professor of Philosophy at Purdue University. A specialist on German philosophy of the period, he is the author of numerous articles and papers on Immanuel Kant.

    Quine's areas of interest are panoramic, as this lively book amply demonstrates.Moving from A (alphabet) to Z (zero), Quiddities roams through more than eighty topics, each providing a full measure of piquant thought, wordplay, and wisdom, couched in easy and elegant prose--"Quine at his unbuttoned best," in Donald Davidson's words. Philosophy, language, and mathematics are the subjects most fully represented; tides of entries include belief, communication, free will, idiotisms, longitude and latitude, marks, prizes, Latin pronunciation, tolerance, trinity. Even the more technical entries are larded with homely lore, anecdote, and whimsical humor.Quiddities will be a treat for admirers of Quine and for others who like to think, who care about language, and who enjoy the free play of intellect on topics large and small. For this select audience, it is an ideal book for browsing.

    He quickly became notorious across Europe for his views on God, the Bible, and miracles, as well as for his uncompromising defense of free thought. Yet the radicalism of Spinoza's views has long obscured that his primary reason for turning to philosophy was to answer one of humanity's most urgent questions: How can we lead a good life and enjoy happiness in a world without a providential God? In Think Least of Death, Pulitzer Prize-finalist Steven Nadler connects Spinoza's ideas with his life and times to offer a compelling account of how the philosopher can provide a guide to living one's best life.In the Ethics, Spinoza presents his vision of the ideal human being, the "free person" who, motivated by reason, lives a life of joy devoted to what is most important--improving oneself and others. Untroubled by passions such as hate, greed, and envy, free people treat others with benevolence, justice, and charity. Focusing on the rewards of goodness, they enjoy the pleasures of this world, but in moderation. "The free person thinks least of all of death," Spinoza writes, "and his wisdom is a meditation not on death but on life.An unmatched introduction to Spinoza's moral philosophy, Think Least of Death shows how his ideas still provide valuable insights about how to live today.

    This in-depth analysis of the meaning of the virtues and their connection with the Beatitudes also summarizes a scriptural and theological wisdom on leading a holy life. Includes the accumulated wisdom of St. Paul, C.S. Lewis, and many others.

    At the height of his career as a journalist, Tony Schwartz hit an unexpected wall.  Why did success suddenly feel so empty?  How could he add richer meaning to his everyday life?  What guides could he trust on the road to wisdom?During the next five years his search for answers took him from a meditation retreat in the mountains of Utah to a biofeedback laboratory in Kansas, from a peak-performance workshop at a tennis academy in Florida to a right-brain drawing course in Boston.  Blending the hunger of a seeker with a journalist's hard-headed inquiry, he discovered the best teachers and techniques for inner development--and identified the potential pitfalls and false gurus he met along the way.  What he found dramatically changed his life.  It may change yours as well.