Book picks similar to
Theoretic Arithmetic of the Pythagoreans by Thomas Taylor
math
mathematics
history
τέχνη-φιλοσοφία
Moral Calculations: Game Theory, Logic, and Human Frailty
Mérő László - 1998
This ideal guide shows us how mathematics can illuminate the human condition.
The Eye in the Triangle: An Interpretation of Aleister Crowley
Israel Regardie - 1970
Dr. Regardie observed "The Great Beast" at close quarters while serving as his personal secretary. The Eye in the Triangle was written many years later, after long contemplation. Regardie combines the psychological insight afforded by his professional training as a Reichian analyst with his grasp of Crowley's magical personality. First-rate!
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
Leonard Mlodinow - 2001
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.
Living Buddha: Interpretive Biography
Daisaku Ikeda - 1973
This book presents the Buddha not as a mystic figure, but as a human being who struggled to attain enlightenment and to aid mankind in freeing itself from suffering and delusion.
The Party: The Secret World of China's Communist Rulers
Richard McGregor - 2010
The country has undergone a remarkable transformation on a scale similar to that of the Industrial Revolution in the West. The most remarkable part of this transformation, however, has been left largely untold—the central role of the Chinese Communist Party. As an organization alone, the Party is a phenomenon of unique scale and power. Its membership surpasses seventy-three million, and it does more than just rule a country. The Party not only has a grip on every aspect of government, from the largest, richest cities to the smallest far-flung villages in Tibet and Xinjiang, it also has a hold on all official religions, the media, and the military. The Party presides over large, wealthy state-owned businesses, and it exercises control over the selection of senior executives of all government companies, many of which are in the top tier of the Fortune 500 list. In The Party, Richard McGregor delves deeply into China's inner sanctum for the first time, showing how the Communist Party controls the government, courts, media, and military, and how it keeps all corruption accusations against its members in-house. The Party's decisions have a global impact, yet the CPC remains a deeply secretive body, hostile to the law, unaccountable to anyone or anything other than its own internal tribunals. It is the world's only geopolitical rival of the United States, and is steadfastly poised to think the worst of the West. In this provocative and illuminating account, Richard McGregor offers a captivating portrait of China's Communist Party, its grip on power and control over China, and its future.
The Kingdom of Childhood: Introductory Talks on Waldorf Education (Cw 311)
Rudolf Steiner - 1982
Because they were given to "pioneers" dedicated to opening a new Waldorf school, these talks are often considered one of the best introductions to Waldorf education.Steiner shows the necessity for teachers to work on themselves first, in order to transform their own inherent gifts. He explains the need to use humor to keep their teaching lively and imaginative. Above all, he stresses the tremendous importance of doing everything in the knowledge that children are citizens of both the spiritual and the earthly worlds. And, throughout these lectures, he continually returns to the practical value of Waldorf education.These talks are filled with practical illustrations and revolve around certain themes--the need for observation in teachers; the dangers of stressing the intellect too early; children's need for teaching that is concrete and pictorial; the education of children's souls through wonder and reverence; the importance of first presenting the "whole," then the parts, to the children's imagination.Here is one of the best introductions to Waldorf education, straight from the man who started it all.German source: Die Kunst des Erziehens aus dem Erfassen der Menschenwesenhiet (GA 311).∞ ∞ ∞ SYNOPSIS OF THE LECTURESLECTURE 1: The need for a new art of education. The whole of life must be considered. Process of incarnation as a stupendous task of the spirit. Fundamental changes at seven and fourteen. At seven, the forming of the "new body" out of the "model body" inherited at birth. After birth, the bodily milk as sole nourishment. The teacher's task to give "soul milk" at the change of teeth and "spiritual milk" at puberty.LECTURE 2: In first epoch of life child is wholly sense organ. Nature of child's environment and conduct of surrounding adults of paramount importance. Detailed observation of children and its significance. In second epoch, seven to fourteen, fantasy and imagination as life blood of all education, e.g., in teaching of writing and reading, based on free creative activity of each teacher. The child as integral part of the environment until nine. Teaching about nature must be based on this. The "higher truths" in fairy tales and myths. How the teacher can guide the child through the critical moment of the ninth year.LECTURE 3: How to teach about plants and animals (seven to fourteen). Plants must always be considered, not as specimens, but growing in the soil. The plant belongs to the earth. This is the true picture and gives the child an inward joy. Animals must be spoken of always in connection with humans. All animal qualities and physical characteristics are to be found, in some form, in the human being. Humans as synthesis of the whole animal kingdom. Minerals should not be introduced until twelfth year. History should first be presented in living, imaginative pictures, through legends, myths, and stories. Only at eleven or twelve should any teaching be based on cause and effect, which is foreign to the young child's nature. Some thoughts on punishment, with examples.LECTURE 4: Development of imaginative qualities in the teacher. The story of the violet and the blue sky. Children's questions. Discipline dependent on the right mood of soul. The teacher's own preparation for this. Seating of children according to temperament. Retelling of stories. Importance of imaginative stories that can be recalled in later school life. Drawing of diagrams, from ninth year. Completion and metamorphosis of simple figures, to give children feeling of form and symmetry. Concentration exercises to awaken an active thinking as basis of wisdom for later life. Simple color exercises. A Waldorf school timetable. The "main lesson."LECTURE 5: All teaching matter must be intimately connected with life. In counting, each different number should be connected with the child or what the child sees in the environment. Counting and stepping in rhythm. The body counts. The head looks on. Counting with fingers and toes is good (also writing with the feet). The ONE is the whole. Other numbers proceed from it. Building with bricks is against the child's nature, whose impulse is to proceed from whole to parts, as in medieval thinking. Contrast atomic theory. In real life we have first a basket of apples, a purse of coins. In teaching addition, proceed from the whole. In subtraction, start with minuend and remainder; in multiplication, with product and one factor. Theorem of Pythagoras (eleven-twelve years). Details given of a clear, visual proof, based on practical thinking. This will arouse fresh wonder every time.LECTURE 6: In first seven years etheric body is an inward sculptor. After seven, child has impulse to model and to paint. Teacher must learn anatomy by modeling the organs. Teaching of physiology (nine to twelve years) should be based on modeling. Between seven and fourteen astral body gradually draws into physical body, carrying the breathing by way of nerves, as playing on a lyre. Importance of singing. Child's experience of well being like that of cows chewing the cud. Instrumental music from beginning of school life, wind or strings. Teaching of languages; up to nine through imitation, then beginnings of grammar, as little translation as possible. Vowels are expression of feeling, consonants are imitation of external processes. Each language expresses a different conception. Compare head, Kopf, testa. The parts of speech in relation to the life after death. If language is rightly taught, out of feeling, eurythmy will develop naturally, expressing inner and outer experiences in ordered movements--"visible speech." Finding relationship to space in gymnastics.LECTURE 7: Between seven and fourteen soul qualities are paramount. Beginnings of science teaching from twelfth year only, and connected with real phenomena of life. The problem of fatigue. Wrong conceptions of psychologists. The rhythmic system, predominant in second period, never tires. Rhythm and fantasy. Composition. Sums from real life, not abstractions. Einstein's theory. The kindergarten--imitation of life. Teachers' meetings, the heart of the school. Every child to be in the right class for its age. Importance of some knowledge of trades, e.g., shoemaking, handwork, and embroidery. Children's reports-- characterization, but no grading. Contact with the parents.QUESTIONS AND ANSWERS: The close relationship of Multiplication and Division. How to deal with both together. Transition from the concrete to the abstract in Arithmetic. Not before the ninth year. Healthiness of English weights and measures as related to real life. Decimal system as an intellectual abstraction.Drawing. Lines have no reality in drawing and painting, only boundaries. How to teach children to draw a tree in shading, speaking only of light and color. (Illustration). Line drawing belongs only to geometry.Gymnastics and Sport. Sport is of no educational value, but necessary as belonging to English life. Gymnastics should be taught by demonstration.Religious Instruction. Religion lessons in the Waldorf school given by Catholic priest and Protestant pastor. "Free" religion lessons provided for the other children. Plan of such teaching described, of which the fundamental aim is an understanding of Christianity. The Sunday services.Modern Language Lessons. Choice of languages must be guided by the demands of English life. These can be introduced at an early age. Direct method in language teaching.Closing words by Dr. Steiner on the seriousness of this first attempt to found a school in England.
Challenge And Thrill Of Pre College Mathematics
V. Krishnamurthy - 2009
It can urge the reader to explore new methodologies to have maximum fun with numbers, and opt for a higher course in mathematics. The book was specifically designed to help the student community, and develop a strong affinity towards problem solving.the book offers many complicated, and interesting challenges for the user, keeping them engaged throughout. A large number of solved problems are also included in challenge and thrill of pre-college mathematics, to give readers an insight into the subject. The book can be an eye-opener for school students of class 7 and above. The materials given in the book are powerful enough to help them develop a strong interest for the subject. The concepts are explained in a simple and comprehensive manner, providing them with a good understanding of mathematical fundamentals.what makes the book distinct is its detailed sections on geometry, that can improve the reasoning skills of students. There are also detailed accounts on algebra and trigonometry, enhancing the competitive ability of the users. The topics such as combinatorics, number theory, and probability are also explained in detail, in the book. Each chapter was designed with the intention of motivating students to appreciate the excitement that mathematical problems can provide. Published in 2003 by new age international publishers, the book is available in paperback. Key features: the book includes a collection of more than 300 solved numerical problems, compiled from various national, as well as international mathematical olympiads.it is widely recommended by students and teachers, alike as an essential preparatory book for those writing competitive examinations.
New View Over Atlantis: The Essential Guide to Megalithic Science, Earth Mysteries, and Sacred Geometry
John Michell - 1983
This unrivaled introduction to megalithic science, earth mysteries, and sacred geometry was expanded and updated in The New View Over Atlantis in 1983. Now available in a fresh new package this classic, seminal work offers an impressive body of evidence and arguments to support the theory that at one time, many thousands of years ago, there was a worldwide, highly sophisticated civilization that Plato referred to as Atlantis. Michell, one of the premier esoteric writers of the 20th century, reveals that ancient stone monuments and earthworks found around the globe are not randomly strewn, but are a well-executed system of psychic centers connected worldwide and used by the people of Atlantis. Michell also demonstrates the significant modern discovery of "leys," a mysterious network of straight lines that link the ancient places around the world. He carefully and thoroughly documents the research that points to these ancient sites as places of high magic.
A Brief History of Mathematical Thought: Key concepts and where they come from
Luke Heaton - 2015
In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story.
The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations.
In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.
Time Reborn: From the Crisis in Physics to the Future of the Universe
Lee Smolin - 2013
You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.
World History: Ancient History, United States History, European, Native American, Russian, Chinese, Asian, Indian and Australian History, Wars including World War 1 and 2
Adam Brown - 2016
You will be astonished to learn about some of the events that have occurred! Here is a Sneak Peek of What you will Learn:
- Ancient History
- Asian History
- European and Russian History
- American History
- Australian History
- World Wars I & II, and the Vietnam War
- And much, much, more
Here is what other readers say about this book: "This book is packed with really important information about the world's history." "I was surprised how much I learned from this. I really like how everything is laid out, it makes it very easy to follow. I especially like the section on Native Americans" "I couldn't put this book down, and not because I'm a nerdy avid reader (I am) but because it's filled with so much about our world history without the facts jumping all over the place like some history books I've read." "I am highly impressed by the content of this book and I would recommend this to all my colleagues as well" Subjects include: Ancient Greece, Ancient Egypt, The Roman Empire, Constantine and Christianity, India, Ancient Korea, Chinese Dynasties, Napoleonic Europe, Foundation of USA, The 1812 War, Australia and Wars, World War I, World War II, The Ottoman Empire, Greece and North Africa, The Diem Regime, Pearl Harbor and much more! All Continents As Known Today Are Covered: North America, Europe, Asia, Africa and Australia.
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Egyptian Yoga Volume 1: The Philosophy of Enlightenment
Muata Ashby - 1997
Egyptian Yoga is a guide to the practice of the highest spiritual philosophy which leads to absolute freedom from human misery and to immortality. It is well known by scholars that Egyptian philosophy is the basis of Western and Middle Eastern religious philosophies such as Christianity, Islam, Judaism, the Kabala, and Greek philosophy, but what about Indian philosophy, Yoga and Taoism? What were the original teachings? How can they be practiced today? What is the source of pain and suffering in the world and what is the solution? Discover the deepest mysteries of the mind and universe within and outside of your self.
Mathematics
Keith Devlin - 1988
A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.
If you want to learn Early African History START HERE (Reklaw Education Lecture Series)
Robin Oliver Walker - 2011
Moreover, the achievements of the early people of Africa are as amazing and inspiring as the achievements of any other people.This history is much older than the Trans-Atlantic Slave Trade.The author introduces his readers to the early civilizations of Africa that existed long before the coming of the Europeans. Among these were the Songhai Empire, the Benin Empire, the Kanem-Borno Empire, the Monomotapa Empire, the Swahili Confederation, the Medieval Nubian kingdoms and the Axumite Empire.The author also introduces the ancient civilizations of Africa particularly those of the Nile Valley such as Nubia and Ancient Egypt.The book is illustrated with 18 images and maps. Finally, the book recommends other books for more in depth study.
Introducing Infinity: A Graphic Guide
Brian Clegg - 2012
The ancient Greeks were so horrified by the implications of an endless number that they drowned the man who gave away the secret. And a German mathematician was driven mad by the repercussions of his discovery of transfinite numbers. Brian Clegg and Oliver Pugh’s brilliant graphic tour of infinity features a cast of characters ranging from Archimedes and Pythagoras to al-Khwarizmi, Fibonacci, Galileo, Newton, Leibniz, Cantor, Venn, Gödel and Mandelbrot, and shows how infinity has challenged the finest minds of science and mathematics. Prepare to enter a world of paradox.