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The golden section is a line segment sectioned into two according to the golden ratio. The total length a+b is to the longer segment a as a is to the shorter segment b. In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. The golden ratio is a mathematical constant, approximately 1.6180339887.... At least since the Renaissance, many artists and architects have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing. Mathematicians have studied the golden ratio because of its unique and interesting properties. (From Wikipedia)...

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Science

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A recording of the first 2000 prime numbers (2-17389). Recommended listening for all math geeks and insomniacs!

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Science

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Published in 1920, Slosson’s Easy Lessons in Einstein is one of the first popularizations of Einstein’s theory of relativity. This book is meant to convey to the general reader the ideas of relativity in non-mathematical terms, by the use of thought experiements and pop-cultural references of the day. This edition also includes a short article by Einstein on Time, Space and Gravitation. (Summary by JoeD)...

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Instruction, Nature, Science

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Lecture delivered before the International Congress of Mathematicians at Paris in 1900 and subsequently published in the Bulletin of the American Mathematical Society Vol. 8 (1902), 479-481....

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Essay/Short nonfiction, Science

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A collection of short nonfiction works in the public domain. The selections included in this collection were independently chosen by the readers, and the topics encompass history, travel, embroidery, science, mathematics, humor, philosophy, poliltics, and nature. (summary by J. M. Smallheer)...

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Essay/Short nonfiction

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This book, published in two volumes called books by the author, is a treatment of everything from the origin of our ideas to how they are to be divided. It includes important statements of Scepticism and Hume's experimental method. Part 1 deals with the nature of ideas. Part 2 deals with the ideas of space and time. Part 3 deals with knowledge and probability. Part 4 deals with skeptical and other systems of philosophy, including a discussion of the soul and personal identity. This is a recording of Volume I (or Book 1). Volume II (which contains Books 2 and 3) is in production at the moment....

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Philosophy

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After several years working on a treatise putting forth his mechanistic philosophy and physics, Descartes shelved the project when his contemporary, Galileo, was charged with heresy. That work, The World, was only published after Descartes’ death. It seems that Descartes must have had this, in part at least, in mind when writing his more famous philosophical works. This is especially clear in the Meditations , not only in the obsequiousness of the Letter of Dedication, but also in the specific mode of argument, which does not seek merely to found science upon grounds acceptable to religious authority, but to specifically found a mathematical science; one which clearly privileges mathematical demonstrations even over common sense judgments based upon everyday and constant experience. His Copernicanism, put forth posthumously in The World, would require just such a defense. The Meditations are a central work of early modern philosophy, and play a crucial role in the conceptual development of basic perspectives and problems in the Western tradition, including substance dualism, external world skepticism, and the modern notion of the su...

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Philosophy

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The Epistle to Titus is a book of the canonic New Testament, one of the three so-called pastoral epistles (with 1 Timothy and 2 Timothy). It is a letter from Paul to the Apostle Titus. (Summary from Wikipedia)...

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Religion

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Amelia B. Edwards wrote this historical travelogue in in 1873. The book describes her travels through a relatively un-visited area in the South Tyrol district of Italy. The Dolomites are a part of that most famous of mountain chains, the Alps. In this book, the Writer and her friend and companion, L., travel from Southern Italy, having over-wintered there, to visit the Dolomite district. Her chatty style, dry sense of humor, accuracy of facts, and sympathy for humanity set her works apart. The slice of Victorian British life presented is quite captivating. She would later travel throughout Europe and Egypt at a time when most women didn't leave home. Later she was to become one of the pioneering Egyptologists of the age. This is her first travelogue....

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Memoirs

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Although Lieh Tzu's work has evidently passed through the hands of many editors and gathered numerous accretions, there remains a considerable nucleus which in all probability was committed to writing by Lieh Tzu's immediate disciples, and is therefore older than the genuine parts of Chuang Tzu. There are some obvious analogies between the two authors, and indeed a certain amount of matter common to both; but on the whole Lieh Tzu's book bears an unmistakable impress of its own. The geniality of its tone contrasts with the somewhat hard brilliancy of Chuang Tzu, and a certain kindly sympathy with the aged, the poor and the humble of this life, not excluding the brute creation, makes itself felt throughout. - From Lionel Giles Introduction...

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History, Literature

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The Monadology ( La Monadologie , 1714) is one of Gottfried Leibniz’s best known works representing his later philosophy. It is a short text which sketches in some 90 paragraphs a metaphysics of simple substances, or monads. What he proposed can be seen as a modification of occasionalism developed by latter-day Cartesians. Leibniz surmised that there are indefinitely many substances individually 'programmed' to act in a predetermined way, each program being coordinated with all the others. This is the pre-established harmony which solved the mind body problem at the cost of declaring any interaction between substances a mere appearance, something which Leibniz accepted. Indeed it was space itself which became an appearance as in his system there was no need for distinguishing inside from outside. True substances were explained as metaphysical points which, Leibniz asserted, are both real and exact — mathematical points being exact but not real and physical ones being real but not exact. (Summary from Wikipedia)...

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Philosophy, Science

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Henry Gray's classic anatomy textbook was first published in 1858 and has been in continuous publication ever since, revised and expanded through many successive editions. This recording is of the public-domain 1918 US edition (some information may be outdated). For the recording, we have divided the book into five parts. Part 2 includes Syndesmology and Myology. The mathematical formulas (section 25) and the illustrations can be found in the online text at bartleby.com. (Summary by Laurie Anne Walden)...

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Science, Instruction, Nature

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Sidelights on Relativity contains ETHER AND THE THEORY OF RELATIVITY, an address delivered on May 5th, 1920, in the University of Leyden; and GEOMETRY AND EXPERIENCE, an expanded form of an address to the Prussian Academy of Sciences in Berlin on January 27th, 1921. (Intro from Project Gutenberg)...

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Nature, Science

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The Epistle of Paul to the Romans, usually referred to simply as Romans, is the sixth book in the New Testament. Biblical scholars agree that it was written by the Apostle Paul to explain that Salvation is offered through the Gospel of Jesus Christ. It is by far the longest of the Pauline epistles, and is considered his most important theological legacy....

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Ancient Texts, Religion

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Grace Abounding is the spiritual autobiography of John Bunyan, who also penned Pilgrim’s Progress, perhaps one of the most significant pieces of Christian literature, second only to the Bible. Grace Abounding follows Bunyan’s struggle to find true repentance and forgiveness, his battle with Satan’s temptations of unbelief, his comfort found in the Bible and his overarching victory gotten by the grace of God through Jesus Christ his Son. Readers familiar with Pilgrim’s Progress will recognize that many of the allegorical points in his famous work came out of Bunyan’s own struggles and discoveries, and it has been said that Bunyan could not have written Pilgrim’s Progress without first going through the battles chronicled in Grace Abounding. (Summary by Stephen Escalera)...

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Biography, Religion

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Jules Henri Poincaré (1854 – 1912) was one of France's greatest mathematicians and theoretical physicists, and a philosopher of science. As a mathematician and physicist, he made many original fundamental contributions to pure and applied mathematics, mathematical physics and celestial mechanics. He was responsible for formulating the Poincaré conjecture, one of the most famous problems in mathematics. In his research on the three-body problem, Poincaré became the first person to discover a chaotic deterministic system which laid the foundations of modern chaos theory. He is considered to be one of the founders of the field of topology. Poincaré introduced the modern principle of relativity and was the first to present the Lorentz transformations in their modern symmetrical form. He discovered the remaining relativistic velocity transformations and recorded them in a letter to Lorentz in 1905. Thus he obtained perfect invariance of all of Maxwell's equations, an important step in the formulation of the theory of special relativity. (Summary from Wikipedia)...

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Science

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This is an introduction to Einstein’s space-bending, time-stretching theory of Relativity, written by the master himself. Special and General relativity explain the structure of space time and provide a theory of gravitation, respectively. Einstein’s theories shocked the world with their counterintuitive results, including the dissolution of absolute time. In this book he brings a simplified form of his profound understanding of the subject to the layperson. In the words of Einstein: “The present book is intended, as far as possible, to give an exact insight into the theory of Relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics.” The book is challenging at times but, when approached patiently, proves itself one of the most lucid explanations of Relativity to be found anywhere. [Due to transcription or optical character recognition errors in creating online texts, and because of less-than-clear fonts in some printed texts, the variables as read in some of the equations here are not as...

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Science

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The Chinese Union Version (CUV) (Chinese: 和合本; pinyin: héhé běn; literally harmonized/united version) is the predominant Chinese language translation of the Bible used by Chinese Protestants. It is considered by many to be the Chinese Protestant’s Bible. The CUV in use today is the vernacular Mandarin version, published in two slightly different editions - the Shen Edition (神版) and the Shangti Edition (上帝版) - differing in the way the word “God” is translated. 聖經 (和合本)（簡稱和合本；或稱國語和合本、官話和合本），是今日華語人士最普遍使用的聖經譯本。此譯本的出版起源自1890年在上海舉行的傳教士大會，會中各差會派代表成立了三個委員會，各自負責翻譯《官話和合本》、《淺文理和合譯本》及《文理和合譯本》。...

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Religion

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Mary Everest Boole (1832-1916) was born Mary Everest in England and spent her early years in France. She married mathematician George Boole. She was the author of several works on teaching and teaching mathematics in particular. This short book, Philosophy and Fun of Algebra, is meant to be read by children and introduces algebra and logic. She uses the word “algebra” broadly, defining it as a “method of solving problems by honest confession of one’s ignorance”. Using this definition, Boole introduces, in a conversational manner, the concepts of logic and algebra, illustrating these concepts with stories and anecdotes, often from biblical sources. At times, her discussion seems somewhat mystical, speaking of the imagination and angels as messengers which guide one toward the next step in a logical investigation. Boole ends the book with a reminder that algebra’s essential element is “the habitual registration of the exact limits of one’s knowledge” and a call for the public to keep this principle in mind when encountering any situation. (Summary written by Patricia Oakley)...

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Children, Philosophy, Science

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In contrast to Scott's South Pole expedition, Amundsen's expedition benefited from good equipment, appropriate clothing, and a fundamentally different primary task (Amundsen did no surveying on his route south and is known to have taken only two photographs) Amundsen had a better understanding of dogs and their handling, and he used of skis more effectively. He pioneered an entirely new route to the Pole and they returned. In Amundsen's own words: Victory awaits him who has everything in order -- luck, people call it. Defeat is certain for him who has neglected to take the necessary precautions in time; this is called bad luck. Short accounts by other members of the party are appended. (Summary adapted from Wikipedia by Karen Merline.)...

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Travel, Science, History

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Naturalis Historia (Latin for Natural History) is an encyclopedia published circa AD 77-79 by Pliny the Elder. It is one of the largest single works to have survived from the Roman empire to the modern day and purports to cover the entire field of ancient knowledge, based on the best authorities available to Pliny. The work became a model for all later encyclopedias in terms of the breadth of subject matter examined, the need to reference original authors, and a comprehensive index list of the contents. The scheme of his great work is vast and comprehensive, being nothing short of an encyclopedia of learning and of art so far as they are connected with nature or draw their materials from nature. The work divides neatly into the organic world of plants and animals, and the realm of inorganic matter, although there are frequent digressions in each section. He is especially interested in not just describing the occurrence of plants, animals and insects, but also their exploitation (or abuse) by man, especially Romans. The description of metals and minerals is particularly detailed, and valuable for the history of science as being the m...

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Ancient Texts, Classics (antiquity), Instruction, Nature