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The Irrational Life Of Pi Series 1 Mathematics In Ancient India
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Book Synopsis The Irrational Life of π (Pi) (Series 1: Mathematics in Ancient India) by : Kalyan Gullapalli
Download or read book The Irrational Life of π (Pi) (Series 1: Mathematics in Ancient India) written by Kalyan Gullapalli and published by StoryMirror Infotech Pvt Ltd. This book was released on 2023-01-27 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: About the Book: The underlying myths that most of us Indians have grown up with is that India was born in 1947! Before that, for centuries, we were a conquered land. And the period before that doesn't matter, because it is prehistory. Nothing is farther from the truth. It matters! It is said about Bharat – “Anything that can be done by man or god, has been done in this country!” Rediscovering Bharat is an attempt to reintroduce the reader to the glory of Bharat. Rediscovering Bharat is not just harping about our glorious past, though we have every right to harp about it! It is about recognizing that we have the most relevant model of progress and prosperity for humanity as a whole. It is called Sanatana Dharma, which is capable of bringing back the balance between humankind's urge for material success and its need for inner wellbeing. Rediscovering Bharat is an attempt to initiate the reader into a personal journey of rediscovering his/her own Bharat. About the Author: Like most Indians of his generation, Kalyan grew up under the influence of the western education system and its attitudes towards life. Academically inclined, he graduated in Metallurgical Engineering from the N.I.T, Rourkela, post-graduated in business management from S.P.J.I.M.R, Mumbai, and has had a “well-settled” career in the BFSI industry. But he is essentially a restless soul. With a million dreams in his mind’s eyes, and his feet refusing to stay on the ground, he meandered through life’s mundaneness with a thousand questions in his heart. Until one day, he realized two things. One, he is a seeker. And two, he belongs to a land which pioneered the art and science of seeking. That’s when he fell in love with Bharat. Rediscovering Bharat is simply a reflection of his personal journey into getting to know himself and his Bharat, with a wish and a desire that all Indians start their own journeys too.
Download or read book A History of Pi written by Petr Beckmann and published by Macmillan. This book was released on 1971 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.
Book Synopsis Pi: The Next Generation by : David H. Bailey
Download or read book Pi: The Next Generation written by David H. Bailey and published by Springer. This book was released on 2016-07-19 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.
Book Synopsis Pi: A Source Book by : Jonathan M. Borwein
Download or read book Pi: A Source Book written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.
Book Synopsis Tantrasaṅgraha of Nīlakaṇṭha Somayājī by : K. Ramasubramanian
Download or read book Tantrasaṅgraha of Nīlakaṇṭha Somayājī written by K. Ramasubramanian and published by Springer Science & Business Media. This book was released on 2011-06-16 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tantrasangraha, composed by the renowned Kerala astronomer Nīlakantha Somayājī (c.1444-1545 AD) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works which significantly influenced further work on astronomy in India. One of the distinguishing features is the introduction of a major revision of the traditional Indian planetary model. Nīlakantha arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available. In preparing the translation and explanatory notes, K. Ramasubramanian and M. S. Sriram have used authentic Sanskrit editions of Tantrasangraha by Surand Kunjan Pillai and K V Sarma. All verses have been translated into English, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.
Book Synopsis A Quick History of Math by : Clive Gifford
Download or read book A Quick History of Math written by Clive Gifford and published by Wide Eyed Editions. This book was released on 2021-04-06 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maths + history + jokes - boring bits = A Quick History of Maths. This book begins around 43,000 years ago with a notched baboon leg, the Lebombo bone (the very first mathematical object in the world) and rushes us past Hindu numerals and the invention of zero, via Pythagoras, Pascal and probability, right up to the present day, with big data and the maths that rules our digital lives. Geometri-cool! You will discover: How to count on your fingers (there are more ways than you might think!) Why we have 60 seconds in a minute (hint: it’s to do with the ancient Babylonians) How to count like an Egyptian (using hieroglyphs) Why it’s hip to be square using square numbers A Pythagorean party trick The naked truth of Archimedes’ bath time mathematics How to do matha-magic with magic squares …and much more. In chronological order from pre-history to present day, this is the story of maths itself. It’s 43,000 years of human mathematical endeavor squeezed into one book for your reading pleasure. Illustrated with funny cartoons and packed with fascinating facts, you’ll be laughing and learning how to be a better mathematician.
Book Synopsis Colebrooke's Translation of the Lílávatí by : Bhāskarācārya
Download or read book Colebrooke's Translation of the Lílávatí written by Bhāskarācārya and published by . This book was released on 1893 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The History of Mathematics by : David M. Burton
Download or read book The History of Mathematics written by David M. Burton and published by WCB/McGraw-Hill. This book was released on 1991 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is designed for the junior/senior mathematics major who intends to teach mathematics in high school or college. It concentrates on the history of those topics typically covered in an undergraduate curriculum or in elementary schools or high schools. At least one year of calculus is a prerequisite for this course. This book contains enough material for a 2 semester course but it is flexible enough to be used in the more common 1 semester course.
Book Synopsis The Rhind Mathematical Papyrus by : Arnold Buffum Chace
Download or read book The Rhind Mathematical Papyrus written by Arnold Buffum Chace and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp
Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Book Synopsis The Book of Nothing by : John D. Barrow
Download or read book The Book of Nothing written by John D. Barrow and published by Vintage. This book was released on 2009-05-20 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: What conceptual blind spot kept the ancient Greeks (unlike the Indians and Maya) from developing a concept of zero? Why did St. Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow. Ranging through mathematics, theology, philosophy, literature, particle physics, and cosmology, The Book of Nothing explores the enduring hold that vacuity has exercised on the human imagination. Combining high-wire speculation with a wealth of reference that takes in Freddy Mercury and Shakespeare alongside Isaac Newton, Albert Einstein, and Stephen Hawking, the result is a fascinating excursion to the vanishing point of our knowledge.
Book Synopsis Synopsis Palmariorum Matheseos by : William Jones
Download or read book Synopsis Palmariorum Matheseos written by William Jones and published by . This book was released on 1706 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fibonacci’s Liber Abaci by : Laurence Sigler
Download or read book Fibonacci’s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
Download or read book The Irrationals written by Julian Havil and published by Princeton University Press. This book was released on 2014-09-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first popular history of irrational numbers and their discoverers, from ancient Greece to the twenty-first century The ancient Greeks discovered them, but it wasn't until the nineteenth century that irrational numbers were properly understood and rigorously defined, and even today not all their mysteries have been revealed. In The Irrationals, the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define—and why so many questions still surround them. Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.
Book Synopsis Math with Bad Drawings by : Ben Orlin
Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
Book Synopsis The Survival of a Mathematician by : Steven George Krantz
Download or read book The Survival of a Mathematician written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2009-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: "One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.
Book Synopsis e: The Story of a Number by : Eli Maor
Download or read book e: The Story of a Number written by Eli Maor and published by Princeton University Press. This book was released on 2011-10-12 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.
