"An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full-length history of the Arithmetic Triangle." — Mathematics of Computation Pascal's Arithmetical Triangle was named for the seventeenth-century French philosopher/mathematician Blaise Pascal, though he did not invent it. A never-ending equilateral triangle of numbers that follow the rule of adding the two numbers above to get the number below, it appears much earlier in the literature of Hindu and Arabic mathematics and continues to fascinate Western mathematicians. Two sides are comprised of "all 1s," and because the triangle is infinite, there is no "bottom side." This book by A. W. F. Edwards, Professor of Biometry at the University of Cambridge, explores Pascal's Arithmetical Triangle and the way it has been studied, enjoyed, and used by mathematicians throughout history. "A fascinating book...giving new insights into the early history of probability theory and combinatorics and incidentally providing much stimulating material for teachers of mathematics." — G. A. Bernard, International Statistical Institute Review "Scrupulously researched . . . carries the reader along in a rewarding manner. It is a scientific who-dun-it and one must admire the author for the scholarly yet unpedantic manner in which he disperses some of the mists of antiquity." — A. W. Kemp, Biometrics "Recommended not only to historians and mathematicians, but also to students seeking to put some life into the dry treatment of these topics to which they have doubtless been subjected." — Ivor Grattan-Guinness, Annals of Science
" This book by A. W. F. Edwards, Professor of Biometry at the University of Cambridge, explores Pascal's Arithmetical Triangle and the way it has been studied, enjoyed, and used by mathematicians throughout history.
Having already examined Pascal's religious thought and attitude in his previous book The Holiness of Pascal, in this 1941 text Stewart focuses on three other aspects of Pascal's genius: his skill in debate, his moral teaching, and his poetic mastery of language.
Having already examined Pascal's religious thought and attitude in his previous book The Holiness of Pascal, in this 1941 text Stewart focuses on three other aspects of Pascal's genius: his skill in debate, his moral teaching, and his ...
The French seventeenth century philosopher, Blaise Pascal was also a mathematician, physicist and master of prose. A child prodigy, Pascal had numerous interests and an innovative, untiring mind, making a significant contribution to a range of fields and studies. He laid the foundation for the modern theory of probabilities, formulating what came to be known as Pascal’s principle of pressure. He also propagated a religious doctrine that taught the experience of God through the heart rather than reason. An important mathematician, he went on to strongly influence the development of modern economics and social science. Pascal's most celebrated work is ‘Pensées’ (Thoughts), a collection of fragments left unfinished at his early death. It is a treatise on spirituality, representing a defense of the Christian religion, introducing the famous concept of "Pascal's wager". This comprehensive eBook presents Pascal’s collected (almost complete) works, with numerous illustrations, rare texts, informative introductions and the usual Delphi bonus material. (Version 1) * Beautifully illustrated with images relating to Pascal’s life and works * Concise introductions to the texts * All of the major works, with individual contents tables * Multiple translations of ‘Pensées’ * Features rare treatises appearing for the first time in digital publishing, including George Pearce’s seminal translations of uncollected ‘Thoughts’ * Excellent formatting of the texts * Rare letters and fragments, available in no other recollection * Special criticism section, with four essays evaluating Pascal’s contribution to philosophy * Features two biographies – discover Pascal’s incredible life * Scholarly ordering of texts into chronological order and genres Please visit www.delphiclassics.com to browse through our range of exciting titles CONTENTS: The Books Essay on Conics (1639) (Tr. Frances Marguerite Clarke) The Provincial Letters (1657) (Tr. Thomas M’Crie) On the Geometrical Spirit (1658) (Tr. Orlando Williams Wight) On the Art of Persuasion (1658) (Tr. Orlando Williams Wight) Thoughts (1670) (Tr. Charles K. Paul and William Finlayson Trotter) Thoughts on Eloquence and Style (Tr. George Pearce) Miscellaneous Thoughts (Tr. George Pearce) Thoughts on the Jesuits and the Jansenists (Tr. George Pearce) Thoughts and Notes for the Provincial Letters (Tr. George Pearce) On the Pope and the Church (Tr. George Pearce) Conversation on Religion (Tr. George Pearce) Letters and Minor Works (Tr. Mary L. Booth and Orlando Williams Wight) The Criticism Port Royal and the Jesuits: Blaise Pascal (1866) Pascal (1898) by Leslie Stephen Pascal (1900) by William Cleaver Wilkinson Pascal (1916) by John Cowper Powys The Biographies Pascal (1878) by John Tulloch Blaise Pascal (1911) by George Chrystal Please visit www.delphiclassics.com to browse through our range of exciting titles or to purchase this eBook as a Parts Edition of individual eBooks
This comprehensive eBook presents Pascal’s collected (almost complete) works, with numerous illustrations, rare texts, informative introductions and the usual Delphi bonus material. (Version 1) * Beautifully illustrated with images ...
Originally published in 1942, this book constitutes the companion volume to The Heart of Pascal (1945); both volumes were formed using selections from Pascal's Pensées. The text gathers together a series of selections, presented in French, which illustrate Pascal's Christian faith and thoughts on the relationship between man and God. An appendix and preface by the editor are also provided. This is a highly informative book that will be of value to anyone with an interest in Pascal and his late thought.
Originally published in 1942, this book constitutes the companion volume to The Heart of Pascal (1945); both volumes were formed using selections from Pascal's Pensées.
Pascal is back. Parisian life at the gothic mansion, hidden on the outskirts of Paris has calmed down, and the vampire army has returned to normal life. Queen Ammonite has managed to regain her reign as leader of this coven, is this the calm before the storm, as rumbling gossip and lies have started to emerge. Unrest begins to eat away at the covens foundations. Teardrops disappearance causes Ammonites concerns to explode into a war that will invade the haute couture Parisian streets. Pascal is to find the rogue vampire Teardrop at all costs, the hunt is on, but the hunter becomes the hunted, as underhanded tactics divide Ammonites power and the loyalty to her. Truths will be told, and again the war begins, bringing in new troops and new battlegrounds. A fast-paced sequel that will keep you on the edge of your seat, a story you won't want to put down. Pascal Revelations will take you on a wild ride of horror, laughter, tears and action.
A fast-paced sequel that will keep you on the edge of your seat, a story you won't want to put down. Pascal Revelations will take you on a wild ride of horror, laughter, tears and action.
This introduction to Pascal programming language contains examples and sample programmes to demonstrate correct methodology and basic programming concepts. Topics covered include: basic Pascal; structured programming and modular design; control structures; procedures and functions; ordinary data types; strings; multidimensional arrays; data structures; and algorithms.
This introduction to Pascal programming language contains examples and sample programmes to demonstrate correct methodology and basic programming concepts.
