Fourier Series


Georgi P. Tolstov - 1976
    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

Schott's Original Miscellany


Ben Schott - 2002
    Schott's Original Miscellany

Ludwig Wittgenstein: The Duty of Genius


Ray Monk - 1990
    Monk's life of Wittgenstein is such a one."--"The Christian Science Monitor."

The 125 Best Brain Teasers of All Time: A Mind-Blowing Challenge of Math, Logic, and Wordplay


Marcel Danesi - 2018
    Collected here to keep your wits sharp, The Best Brain Teasers of All Time features the cleverest brain teasers from around the world and throughout history.The Best Brain Teasers of All Time gives you hours of fun-filled entertainment with brain teasers that develop your problem-solving skills in math, logic, and wordplay. Organized as an integrated challenge, these brain teasers build in momentum as they increase in difficulty from classic nursery rhymes to the riddle of the sphinx.The Best Brain Teasers of All Time puts your mind to the test with: 125 Brain Teasers that require no special skills to solve. Plus, each question comes with an optional clue in case you get stumped and a handy answer key in the back to test yourself or play with friends Brain Teasers for Every Level that cater to beginners and advanced masterminds alike, with brain teasers organized by level of difficulty to improve your skills as you move forward Hints of History that provide fun facts and background information for every brain teaser Get ready to sharpen your wit with every “aha” moment. The Best Brain Teasers of All Time is a go-to source for timeless fun and mind-blowing challenges.

Critique of Pure Reason


Immanuel Kant - 1781
    It presents a profound and challenging investigation into the nature of human reason, its knowledge and its illusions. Reason, Kant argues, is the seat of certain concepts that precede experience and make it possible, but we are not therefore entitled to draw conclusions about the natural world from these concepts. The Critique brings together the two opposing schools of philosophy: rationalism, which grounds all our knowledge in reason, and empiricism, which traces all our knowledge to experience. Kant's transcendental idealism indicates a third way that goes far beyond these alternatives.

Mathematics and the Imagination


Edward Kasner - 1940
    But your pleasure and prowess at games, gambling, and other numerically related pursuits can be heightened with this entertaining volume, in which the authors offer a fascinating view of some of the lesser-known and more imaginative aspects of mathematics.A brief and breezy explanation of the new language of mathematics precedes a smorgasbord of such thought-provoking subjects as the googolplex (the largest definite number anyone has yet bothered to conceive of); assorted geometries — plane and fancy; famous puzzles that made mathematical history; and tantalizing paradoxes. Gamblers receive fair warning on the laws of chance; a look at rubber-sheet geometry twists circles into loops without sacrificing certain important properties; and an exploration of the mathematics of change and growth shows how calculus, among its other uses, helps trace the path of falling bombs.Written with wit and clarity for the intelligent reader who has taken high school and perhaps college math, this volume deftly progresses from simple arithmetic to calculus and non-Euclidean geometry. It “lives up to its title in every way [and] might well have been merely terrifying, whereas it proves to be both charming and exciting." — Saturday Review of Literature.

Bioethics: An Anthology


Helga Kuhse - 1999
    In its structure and content, the Anthology is intended to complement the Companion to Bioethics, edited by the same scholars. The Anthology is independent of any particular approach to bioethics. Can be used as a source book to complement the Companion to Bioethics. Probes more deeply than the standard anthologies into the foundations of bioethics. More global in approach than competition.

Psyche and Symbol: A Selection from the Writings of C.G. Jung


C.G. Jung - 1958
    G. Jung, the key to the cure of souls, the cornerstone of his therapeutic work. This volume explains the function and origin of these symbols. Here the reader will find not only a general orientation to Jung's point of view but extensive studies of the symbolic process and its integrating function in human psychology as it is reflected in the characteristic spiritual productions of Europe and Asia. Violet de Laszlo has selected for inclusion in Psyche and Symbol five selections from Aion: The Ego, The Shadow, The Syzygy: Anima and Animus, The Self, and Christ, A Symbol of the Self. The book continues with The Phenomenology of the Spirit in Fairy Tales, The Psychology of the Child Archetype, and Transformation Symbolism in the Mass. Also included are the foreword to the Cary Banes translation of the I Ching, two chapters from Synchronicity: An Acausal Connecting Principle, Psychological Commentary on The Tibetan Book of the Dead, and Commentary on The Secret of the Golden Flower.

The Secret to Everything: How to Live More and Suffer Less


Neel Burton - 2020
    Socrates certainly knew it, as did the Buddha, and more recently, Albert Einstein, Carl Jung, and Emily Dickinson. It is a secret not because it is hidden as such, but because it is so difficult to see, running counter to so many of our most basic assumptions.Each of the book’s ten chapters exposes a particular aspect and practical application of the secret, while also keeping it carefully under wraps. On the surface, the chapters may seem to have little in common, but they are all built around the same wisdom. Your challenge, as you read, is to find the common thread that runs through all the chapters. The secret is discussed at the end, but don’t peek or you’ll spoil the fun.ContentsIntroduction1. How to see2. How to dream3. How to be religious4. How to be wise5. How to be fearless6. How to live7. How to love8. How to win9. How to party10. How to thinkThe Secret to EverythingAbout the authorDr Neel Burton is a psychiatrist, philosopher, and wine-lover who lives and teaches in Oxford, England. He is a Fellow of Green-Templeton College in the University of Oxford, and the recipient of the Society of Authors’ Richard Asher Prize, the British Medical Association’s Young Authors’ Award, the Medical Journalists’ Association Open Book Award, and a Best in the World Gourmand Award. His work has featured in the likes of Aeon, the Spectator, and the Times, and been translated into several languages.

A Brief Tour of Higher Consciousness: A Cosmic Book on the Mechanics of Creation


Itzhak Bentov - 2000
    • Explains some of the most difficult concepts of physics and heightened consciousness in ways that are easily understood. • Presents a model for the interaction of the universe and human thought that has profound implications for our future. All aboard for the excursion of a lifetime as Itzhak Bentov, the celebrated engineer, inventor, and mystic, takes you on a tour of the universe, pure consciousness, and all that lies beyond. Using comical sketches, simple metaphors, and his famous wit and humor, Bentov explains the nature of reality, points out the sights in Nirvana and the Void, and eventually takes you to a meeting with your higher self. Along the way, Bentov illuminates the Kabbalistic principles of number and sound, the meaning of cosmic shapes and symbols, the consciousness of devas, and the nature of the absolute. Ultimately, he shows that the universe and thought are inseparable, and that the thoughts of all human beings affect each other and in turn the whole universe--an idea with obvious and far-reaching implications. Anyone interested in the inner reaches of the mind, the greater structure of the cosmos, and the spiritual evolution of humanity will find A Brief Tour of Higher Consciousness an informed and delightful traveling companion.

We, Robots: Staying Human in the Age of Big Data


Curtis White - 2015
    According to them, “intelligent machines” and big data will free us from work, educate our children, transform our environment, and even make religion more user-friendly. This is the story they’re telling us: that we should stop worrying and love our robot future. But just because you tell a story over and over again doesn’t make it true. Curtis White, one of our most brilliant and perceptive social critics, knows all about the danger of a seductive story, and in We, Robots, he tangles with the so-called thinkers who are convinced that the future is rose-colored and robotically enhanced. With tremendous erudition and a punchy wit, White argues that we must be skeptical of anyone who tries to sell us on technological inevitability. And he gives us an alternative set of stories: taking inspiration from artists as disparate as Sufjan Stevens, Lars von Trier, and François Rabelais, White shows us that by looking to art, we can imagine a different kind of future. No robots required.From the Hardcover edition.

A Natural History of Human Thinking


Michael Tomasello - 2014
    In this much-anticipated book, Michael Tomasello weaves his twenty years of comparative studies of humans and great apes into a compelling argument that cooperative social interaction is the key to our cognitive uniqueness. Once our ancestors learned to put their heads together with others to pursue shared goals, humankind was on an evolutionary path all its own.Tomasello argues that our prehuman ancestors, like today's great apes, were social beings who could solve problems by thinking. But they were almost entirely competitive, aiming only at their individual goals. As ecological changes forced them into more cooperative living arrangements, early humans had to coordinate their actions and communicate their thoughts with collaborative partners. Tomasello's "shared intentionality hypothesis" captures how these more socially complex forms of life led to more conceptually complex forms of thinking. In order to survive, humans had to learn to see the world from multiple social perspectives, to draw socially recursive inferences, and to monitor their own thinking via the normative standards of the group. Even language and culture arose from the preexisting need to work together. What differentiates us most from other great apes, Tomasello proposes, are the new forms of thinking engendered by our new forms of collaborative and communicative interaction.A Natural History of Human Thinking is the most detailed scientific analysis to date of the connection between human sociality and cognition.

All the Mathematics You Missed


Thomas A. Garrity - 2001
    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

Cognitive Psychology


Robert J. Sternberg - 2005
    Utilizing the theme that human cognition has evolved over time as a means of adapting to our environment, Sternberg explores the basics of cognitive psychology through its coverage of cognitive neuroscience, attention and consciousness, perception, memory, knowledge representation, language, problem solving and creativity, decision making and reasoning, cognitive development, and intelligence. Sternberg provides the most comprehensive coverage of any cognitive psychology text available; a "from lab to life" approach covering theory, lab and field research, and applications to everyday life (like driving while talking on a cell phone and airport security).

How to Sound Cultured: Master The 300 Names That Intellectuals Love To Drop Into Conversation


Thomas W. Hodgkinson - 2015
    Hodgkinson offer you a wry look inside the mirrored palaces of high culture.Read this book and you'll never again mistake Hegel for Engels, you'll know when precisely to drop Foucault's name into a conversation and how to pronounce "Borgesian," and you'll learn many more essential pointers for the intellectual life.