Unit 16 Science and Technology*
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Mathematicians
MATHEMATICIANS [MATHEMATICIANS] Authors: Oliver Knill: 2000 Literature: Started from a list of names with birthdates grabbed from mactutor in 2000. Abbe [Abbe] Abbe Ernst (1840-1909) Abel [Abel] Abel Niels Henrik (1802-1829) Norwegian mathematician. Significant contributions to algebra and anal- ysis, in particular the study of groups and series. Famous for proving the insolubility of the quintic equation at the age of 19. AbrahamMax [AbrahamMax] Abraham Max (1875-1922) Ackermann [Ackermann] Ackermann Wilhelm (1896-1962) AdamsFrank [AdamsFrank] Adams J Frank (1930-1989) Adams [Adams] Adams John Couch (1819-1892) Adelard [Adelard] Adelard of Bath (1075-1160) Adler [Adler] Adler August (1863-1923) Adrain [Adrain] Adrain Robert (1775-1843) Aepinus [Aepinus] Aepinus Franz (1724-1802) Agnesi [Agnesi] Agnesi Maria (1718-1799) Ahlfors [Ahlfors] Ahlfors Lars (1907-1996) Finnish mathematician working in complex analysis, was also professor at Harvard from 1946, retiring in 1977. Ahlfors won both the Fields medal in 1936 and the Wolf prize in 1981. Ahmes [Ahmes] Ahmes (1680BC-1620BC) Aida [Aida] Aida Yasuaki (1747-1817) Aiken [Aiken] Aiken Howard (1900-1973) Airy [Airy] Airy George (1801-1892) Aitken [Aitken] Aitken Alec (1895-1967) Ajima [Ajima] Ajima Naonobu (1732-1798) Akhiezer [Akhiezer] Akhiezer Naum Ilich (1901-1980) Albanese [Albanese] Albanese Giacomo (1890-1948) Albert [Albert] Albert of Saxony (1316-1390) AlbertAbraham [AlbertAbraham] Albert A Adrian (1905-1972) Alberti [Alberti] Alberti Leone (1404-1472) Albertus [Albertus] Albertus Magnus -
Exploration of the Moon
Exploration of the Moon The physical exploration of the Moon began when Luna 2, a space probe launched by the Soviet Union, made an impact on the surface of the Moon on September 14, 1959. Prior to that the only available means of exploration had been observation from Earth. The invention of the optical telescope brought about the first leap in the quality of lunar observations. Galileo Galilei is generally credited as the first person to use a telescope for astronomical purposes; having made his own telescope in 1609, the mountains and craters on the lunar surface were among his first observations using it. NASA's Apollo program was the first, and to date only, mission to successfully land humans on the Moon, which it did six times. The first landing took place in 1969, when astronauts placed scientific instruments and returnedlunar samples to Earth. Apollo 12 Lunar Module Intrepid prepares to descend towards the surface of the Moon. NASA photo. Contents Early history Space race Recent exploration Plans Past and future lunar missions See also References External links Early history The ancient Greek philosopher Anaxagoras (d. 428 BC) reasoned that the Sun and Moon were both giant spherical rocks, and that the latter reflected the light of the former. His non-religious view of the heavens was one cause for his imprisonment and eventual exile.[1] In his little book On the Face in the Moon's Orb, Plutarch suggested that the Moon had deep recesses in which the light of the Sun did not reach and that the spots are nothing but the shadows of rivers or deep chasms. -
Brahmagupta, Mathematician Par Excellence
GENERAL ARTICLE Brahmagupta, Mathematician Par Excellence C R Pranesachar Brahmagupta holds a unique position in the his- tory of Ancient Indian Mathematics. He con- tributed such elegant results to Geometry and Number Theory that today's mathematicians still marvel at their originality. His theorems leading to the calculation of the circumradius of a trian- gle and the lengths of the diagonals of a cyclic quadrilateral, construction of a rational cyclic C R Pranesachar is involved in training Indian quadrilateral and integer solutions to a single sec- teams for the International ond degree equation are certainly the hallmarks Mathematical Olympiads. of a genius. He also takes interest in solving problems for the After the Greeks' ascendancy to supremacy in mathe- American Mathematical matics (especially geometry) during the period 7th cen- Monthly and Crux tury BC to 2nd century AD, there was a sudden lull in Mathematicorum. mathematical and scienti¯c activity for the next millen- nium until the Renaissance in Europe. But mathematics and astronomy °ourished in the Asian continent partic- ularly in India and the Arab world. There was a contin- uous exchange of information between the two regions and later between Europe and the Arab world. The dec- imal representation of positive integers along with zero, a unique contribution of the Indian mind, travelled even- tually to the West, although there was some resistance and reluctance to accept it at the beginning. Brahmagupta, a most accomplished mathematician, liv- ed during this medieval period and was responsible for creating good mathematics in the form of geometrical theorems and number-theoretic results. -
Indian Mathematics
Indian Mathemtics V. S. Varadarajan University of California, Los Angeles, CA, USA UCLA, March 3-5, 2008 Abstract In these two lectures I shall talk about some Indian mathe- maticians and their work. I have chosen two examples: one from the 7th century, Brahmagupta, and the other, Ra- manujan, from the 20th century. Both of these are very fascinating figures, and their histories illustrate various as- pects of mathematics in ancient and modern times. In a very real sense their works are still relevant to the mathe- matics of today. Some great ancient Indian figures of Science Varahamihira (505–587) Brahmagupta (598-670) Bhaskara II (1114–1185) The modern era Ramanujan, S (1887–1920) Raman, C. V (1888–1970) Mahalanobis, P. C (1893–1972) Harish-Chandra (1923–1983) Bhaskara represents the peak of mathematical and astro- nomical knowledge in the 12th century. He reached an un- derstanding of calculus, astronomy, the number systems, and solving equations, which were not to be achieved any- where else in the world for several centuries...(Wikipedia). Indian science languished after that, the British colonial occupation did not help, but in the 19th century there was a renaissance of arts and sciences, and Indian Science even- tually reached a level comparable to western science. BRAHMAGUPTA (598–670c) Some quotations of Brahmagupta As the sun eclipses the stars by its brilliancy, so the man of knowledge will eclipse the fame of others in assemblies of the people if he proposes algebraic problems, and still more, if he solves them. Quoted in F Cajori, A History of Mathematics A person who can, within a year, solve x2 92y2 =1, is a mathematician. -
DMAAC – February 1973
LUNAR TOPOGRAPHIC ORTHOPHOTOMAP (LTO) AND LUNAR ORTHOPHOTMAP (LO) SERIES (Published by DMATC) Lunar Topographic Orthophotmaps and Lunar Orthophotomaps Scale: 1:250,000 Projection: Transverse Mercator Sheet Size: 25.5”x 26.5” The Lunar Topographic Orthophotmaps and Lunar Orthophotomaps Series are the first comprehensive and continuous mapping to be accomplished from Apollo Mission 15-17 mapping photographs. This series is also the first major effort to apply recent advances in orthophotography to lunar mapping. Presently developed maps of this series were designed to support initial lunar scientific investigations primarily employing results of Apollo Mission 15-17 data. Individual maps of this series cover 4 degrees of lunar latitude and 5 degrees of lunar longitude consisting of 1/16 of the area of a 1:1,000,000 scale Lunar Astronautical Chart (LAC) (Section 4.2.1). Their apha-numeric identification (example – LTO38B1) consists of the designator LTO for topographic orthophoto editions or LO for orthophoto editions followed by the LAC number in which they fall, followed by an A, B, C or D designator defining the pertinent LAC quadrant and a 1, 2, 3, or 4 designator defining the specific sub-quadrant actually covered. The following designation (250) identifies the sheets as being at 1:250,000 scale. The LTO editions display 100-meter contours, 50-meter supplemental contours and spot elevations in a red overprint to the base, which is lithographed in black and white. LO editions are identical except that all relief information is omitted and selenographic graticule is restricted to border ticks, presenting an umencumbered view of lunar features imaged by the photographic base. -
Secondary Indian Culture and Heritage
Culture: An Introduction MODULE - I Understanding Culture Notes 1 CULTURE: AN INTRODUCTION he English word ‘Culture’ is derived from the Latin term ‘cult or cultus’ meaning tilling, or cultivating or refining and worship. In sum it means cultivating and refining Ta thing to such an extent that its end product evokes our admiration and respect. This is practically the same as ‘Sanskriti’ of the Sanskrit language. The term ‘Sanskriti’ has been derived from the root ‘Kri (to do) of Sanskrit language. Three words came from this root ‘Kri; prakriti’ (basic matter or condition), ‘Sanskriti’ (refined matter or condition) and ‘vikriti’ (modified or decayed matter or condition) when ‘prakriti’ or a raw material is refined it becomes ‘Sanskriti’ and when broken or damaged it becomes ‘vikriti’. OBJECTIVES After studying this lesson you will be able to: understand the concept and meaning of culture; establish the relationship between culture and civilization; Establish the link between culture and heritage; discuss the role and impact of culture in human life. 1.1 CONCEPT OF CULTURE Culture is a way of life. The food you eat, the clothes you wear, the language you speak in and the God you worship all are aspects of culture. In very simple terms, we can say that culture is the embodiment of the way in which we think and do things. It is also the things Indian Culture and Heritage Secondary Course 1 MODULE - I Culture: An Introduction Understanding Culture that we have inherited as members of society. All the achievements of human beings as members of social groups can be called culture. -
1939-1940 Vikrami Year: 2074-2075
ENGLISH YEAR: 2018 (JANUARY TO DECEMBER) SAKA SAMVATSARA: HEVILAMBI – VILAMBI VIKRAM SAMVATSARA: SADHARANA - VIRODHIKRUTA SAKA YEAR: 1939-1940 VIKRAMI YEAR: 2074-2075 PREPARED BY: PRESENTED BY: PT. MAHESH SHASTRIJI ADVISORS PT. RAVI SHARMA DR. RAMACHANDRA JOISA NARAYANDAS UPADHYAY RAVI VAIDYANATH WWW.MYPANCHANG.COM (647) 231-4552 [email protected] ©MYPANCHANG.COM WWW.MAHARUDRADEVMANDIR.COM Foreward It gives me great honor to present Toronto Panchang for the first time prepared by Pundit Mahesh Shastri Ji. We have seen to many misconceptions surrounding Hindu Religious dates that confuses the young and elderly. We have thoroughly gone through and Maha Rudra Dev mandir is pleased to be in this alliance. Maha Rudra Dev Mandir (MRDM) was created to provide a place of worship for our Hindu community. This was a dream of many Hindus in the Toronto area, especially the youth community. Our religious practices were slowing dying because the youth community found it very difficult to read and interpret our religious books that were written in Sanskrit. There were not many Hindu priests who could expound the teachings of our religion in a manner in which the youth community could understand. The members of Maha Rudra Dev Mandir saw the need to reach out to our youth community and provide support so as to help them to understand and accept the teachings of our great religion. We approached a young and very enterprising Hindu priest, Pundit Ravi Sharma, to assist us in this mission. Pundit Sharma graciously agreed to volunteer his service and help us in this mission his our Spritual leader. -
Rationale of the Chakravala Process of Jayadeva and Bhaskara Ii
HISTORIA MATHEMATICA 2 (1975) , 167-184 RATIONALE OF THE CHAKRAVALA PROCESS OF JAYADEVA AND BHASKARA II BY CLAS-OLOF SELENIUS UNIVERSITY OF UPPSALA SUMMARIES The old Indian chakravala method for solving the Bhaskara-Pell equation or varga-prakrti x 2- Dy 2 = 1 is investigated and explained in detail. Previous mis- conceptions are corrected, for example that chakravgla, the short cut method bhavana included, corresponds to the quick-method of Fermat. The chakravala process corresponds to a half-regular best approximating algorithm of minimal length which has several deep minimization properties. The periodically appearing quantities (jyestha-mfila, kanistha-mfila, ksepaka, kuttak~ra, etc.) are correctly understood only with the new theory. Den fornindiska metoden cakravala att l~sa Bhaskara- Pell-ekvationen eller varga-prakrti x 2 - Dy 2 = 1 detaljunders~ks och f~rklaras h~r. Tidigare missuppfatt- 0 ningar r~ttas, sasom att cakravala, genv~gsmetoden bhavana inbegripen, motsvarade Fermats snabbmetod. Cakravalaprocessen motsvarar en halvregelbunden b~st- approximerande algoritm av minimal l~ngd med flera djupt liggande minimeringsegenskaper. De periodvis upptr~dande storheterna (jyestha-m~la, kanistha-mula, ksepaka, kuttakara, os~) blir forstaellga0. 0 . f~rst genom den nya teorin. Die alte indische Methode cakrav~la zur Lbsung der Bhaskara-Pell-Gleichung oder varga-prakrti x 2 - Dy 2 = 1 wird hier im einzelnen untersucht und erkl~rt. Fr~here Missverst~ndnisse werden aufgekl~rt, z.B. dass cakrav~la, einschliesslich der Richtwegmethode bhavana, der Fermat- schen Schnellmethode entspreche. Der cakravala-Prozess entspricht einem halbregelm~ssigen bestapproximierenden Algorithmus von minimaler L~nge und mit mehreren tief- liegenden Minimierungseigenschaften. Die periodisch auftretenden Quantit~ten (jyestha-mfila, kanistha-mfila, ksepaka, kuttak~ra, usw.) werden erst durch die neue Theorie verst~ndlich. -
Bengali English Calendar 2018 Pdf
Bengali english calendar 2018 pdf Continue Bengali Calendar 1425 (Eng: 2018-2019) Baisakh- 13/14. Joystha -10/18. Jordi. Sharaban - 13.Vadra - 4/14. Aswin - 3. Kartik -1/2/4/9/12. Agrahan - 11/14. Wells -1/8/11 . Magh - 1/4. Falgun -9/12. Chaitra - 1. USK: All agesBengali Calendar PanjikaBengali Calendar is also known as the Bangla Calendar or Bong Calendar. The current Bengali year is the Bengali calendar 1425 BS or Bengali Sambat. The Bengali calendar is based on the solar calendar. There are two types of Bengali calendar. One is used as an offical calendar in Bangladesh (BD) and another used in the Indian states (IN) of West Bengal (WB), Tripura and Assam. * - Easy scrolling view* - Vertical view* - Updated by Bengali Year ১৪২৫ (1425)* - Bengal calendar 2018* - best calendar application* - calendar application 2018* - 2019 calendar application* - Bengal calendar 2018* - Bengali calendar 2018bengali calendar 1425bengalicalendar1425bengali panjikabengali panjika 2018bengali panjika marriage datesbang English calendar today and calendar appsbangla datebengali calendar new year calendar bengali calendar online bangladesh calendar bangladesh calendars bangladesh calendarbengali and english calendarbengali full panjikapanjikaBangla date of marriage Date MarchNew Bangladesh panjika2018 Bangladesh panjikaBangla panjika 2018 West Bengal Festivals 321 Contains Ads Calendar Bangla 2019 application is useful for people from West Bengal and Bengali speaking to people all over the world. This application intends to bring you information about Calendar -
Crowdsourcing
CROWDSOURCING The establishment of the ZerOrigIndia Foundation is predicated on a single premise, namely, that our decades-long studies indicate that there are sound reasons to assume that facilitating further independent scientific research into the origin of the zero digit as numeral may lead to theoretical insights and practical innovations equal to or perhaps even exceeding the revolutionary progress to which the historic emergence of the zero digit in India somewhere between 200 BCE and 500 CE has led across the planet, in the fields of mathematics, science and technology since its first emergence. No one to date can doubt the astounding utility of the tenth and last digit to complete the decimal system, yet the origin of the zero digit is shrouded in mystery to this day. It is high time, therefore, that a systematic and concerted effort is undertaken by a multidisciplinary team of experts to unearth any extant evidence bearing on the origin of the zero digit in India. The ZerOrigIndia Foundation is intended to serve as instrument to collect the requisite funds to finance said independent scientific research in a timely and effective manner. Research Academics and researchers worldwide are invited to join our efforts to unearth any extant evidence of the zero digit in India. The ZerOrigIndia Foundation will facilitate the research in various ways, chief among which is to engage in fundraising to finance projects related to our objective. Academics and researchers associated with reputed institutions of higher learning are invited to monitor progress reported by ZerOrigIndia Foundation, make suggestions and/or propose their own research projects to achieve the avowed aim. -
Aryabhatiya with English Commentary
ARYABHATIYA OF ARYABHATA Critically edited with Introduction, English Translation. Notes, Comments and Indexes By KRIPA SHANKAR SHUKLA Deptt. of Mathematics and Astronomy University of Lucknow in collaboration with K. V. SARMA Studies V. V. B. Institute of Sanskrit and Indological Panjab University INDIAN NATIONAL SCIENCE ACADEMY NEW DELHI 1 Published for THE NATIONAL COMMISSION FOR THE COMPILATION OF HISTORY OF SCIENCES IN INDIA by The Indian National Science Academy Bahadur Shah Zafar Marg, New Delhi— © Indian National Science Academy 1976 Rs. 21.50 (in India) $ 7.00 ; £ 2.75 (outside India) EDITORIAL COMMITTEE Chairman : F. C. Auluck Secretary : B. V. Subbarayappa Member : R. S. Sharma Editors : K. S. Shukla and K. V. Sarma Printed in India At the Vishveshvaranand Vedic Research Institute Press Sadhu Ashram, Hosbiarpur (Pb.) CONTENTS Page FOREWORD iii INTRODUCTION xvii 1. Aryabhata— The author xvii 2. His place xvii 1. Kusumapura xvii 2. Asmaka xix 3. His time xix 4. His pupils xxii 5. Aryabhata's works xxiii 6. The Aryabhatiya xxiii 1. Its contents xxiii 2. A collection of two compositions xxv 3. A work of the Brahma school xxvi 4. Its notable features xxvii 1. The alphabetical system of numeral notation xxvii 2. Circumference-diameter ratio, viz., tz xxviii table of sine-differences xxviii . 3. The 4. Formula for sin 0, when 6>rc/2 xxviii 5. Solution of indeterminate equations xxviii 6. Theory of the Earth's rotation xxix 7. The astronomical parameters xxix 8. Time and divisions of time xxix 9. Theory of planetary motion xxxi - 10. Innovations in planetary computation xxxiii 11. -
31 Indian Mathematicians
Indian Mathematician 1. Baudhayana (800BC) Baudhayana was the first great geometrician of the Vedic altars. The science of geometry originated in India in connection with the construction of the altars of the Vedic sacrifices. These sacrifices were performed at certain precalculated time, and were of particular sizes and shapes. The expert of sacrifices needed knowledge of astronomy to calculate the time, and the knowledge of geometry to measure distance, area and volume to make altars. Strict texts and scriptures in the form of manuals known as Sulba Sutras were followed for performing such sacrifices. Bandhayana's Sulba Sutra was the biggest and oldest among many Sulbas followed during olden times. Which gave proof of many geometrical formulae including Pythagorean theorem 2. Āryabhaṭa(476CE-550 CE) Aryabhata mentions in the Aryabhatiya that it was composed 3,600 years into the Kali Yuga, when he was 23 years old. This corresponds to 499 CE, and implies that he was born in 476. Aryabhata called himself a native of Kusumapura or Pataliputra (present day Patna, Bihar). Notabl e Āryabhaṭīya, Arya-siddhanta works Explanation of lunar eclipse and solar eclipse, rotation of Earth on its axis, Notabl reflection of light by moon, sinusoidal functions, solution of single e variable quadratic equation, value of π correct to 4 decimal places, ideas circumference of Earth to 99.8% accuracy, calculation of the length of sidereal year 3. Varahamihira (505-587AD) Varaha or Mihir, was an Indian astronomer, mathematician, and astrologer who lived in Ujjain. He was born in Avanti (India) region, roughly corresponding to modern-day Malwa, to Adityadasa, who was himself an astronomer.