1. Barrow Isaac Barrow. Born Oct 1630 in London, England Died 4 May 1677 in London,England. Isaac Barrow's father, Thomas Barrow, was a linen draper by trade. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Barrow.html

Isaac Barrow Born: Oct 1630 in London, England Died: 4 May 1677 in London, England Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Isaac Barrow 's father, Thomas Barrow, was a linen draper by trade. Thomas married Ann, daughter of William Buggin of North Cray, Kent in 1624 and their son Isaac was born in 1630. Ann died in 1634 and Thomas sent Isaac to live with his grandfather. Perhaps there is truth in the frequently quoted saying that Isaac's father:- ... was heard to pray that should God decide to take one of his children, he could best spare Isaac. Thomas remarried within two years and it is suggested in [5] that this may have been an attempt to get his son back from his father, who was said to be spoiling young Isaac. Thomas planned for Isaac to become a scholar while still a child. He sent Isaac to Charterhouse and paid twice the regular fee to get special attention for Isaac. However Isaac did not receive this attention and acquired the reputation as a bully while his education suffered. When Thomas heard of this, he transferred Isaac to Felstead, Essex in 1640 where the headmaster had a reputation for strict discipline. Here Isaac made rapid progress, both in developing his character and in learning. At Felstead Barrow learnt Greek, Latin, Hebrew and logic in preparation for University. After he had been at Felstead for two years, Issac's father incurred loses of

2. Barrow Translate this page barrow isaac anglais, 1630-1677 Ce théologien fut aussi un brillant mathématicienen la célèbre université de Cambridge. Professeur http://www.sciences-en-ligne.com/momo/chronomath/chrono2/Barrow.html

BARROW Isaac anglais, 1630-1677 Newton Lectiones Geometricae Pascal dans son (1658) afin de calculer l'aire sous une arche de Newton Le dy/dx (pente de la tangente). rectification des courbes et au Leibniz Huygens Wren

3. Bishop Barrow Isaac Barrow Bishop 1663-1669. Uncle to the eponymous and more famoustheologian and mathematician Isaac Barrow. Both Bishop and http://www.isle-of-man.com/manxnotebook/people/bishops/barrow.htm

Isaac Barrow - Bishop 1663-1669 Uncle to the eponymous and more famous theologian and mathematician Isaac Barrow. Both Bishop and Governor - a brief description of his works was given by Bishop Wilson in his History: His arms may still be seen as part of the badge of King William's College which was funded out of the proceeds of his fund. Died at Shrewsbury, 1680, buried near west door of the Cathedral, on his tombstone is his own epitaph "O vos transeuntes in Domum Domini, domum oratonis, orate pro conservo vestro ut ineveniat misericordiam in Die Domini" Interestingly his altar tomb lies just outside the west door, across from another translatee from Sodor and Man - Bishop Vowler Short References D.R.Thomas Diocesan History St Asaph London:SPCK 1888 Any comments, errors or omissions gratefully received The Editor F.Coakley , 2000

4. Isaac Barrow - Wikipedia Isaac Barrow. From Wikipedia, the free encyclopedia. Isaac Barrowwas born in London in 1630, and died at Cambridge in 1677. He http://www.wikipedia.org/wiki/Isaac_Barrow

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Isaac Barrow From Wikipedia, the free encyclopedia. Isaac Barrow was born in London in , and died at Cambridge in . He went to school first at Charterhouse (where he was so troublesome that his father was heard to pray that if it pleased God to take any of his children he could best spare Isaac), and subsequently to Felstead. He completed his education at Trinity College, Cambridge ; after taking his degree in 1648, he was elected to a fellowship in 1649; he then resided for a few years in college, but in 1655 he was driven out by the persecution of the Independents. He spent the next four years in the East of Europe, and after many adventures returned to England in 1659. He was ordained the next year, and appointed to the professorship of Greek at Cambridge. In 1662 he was made professor of geometry at Gresham College, and in 1663 was selected as the first occupier of the Lucasian chair at Cambridge. He resigned the latter to his pupil Newton in 1669, whose superior abilities he recognized and frankly acknowledged. For the remainder of his life he devoted himself to the study of divinity. He was appointed master of Trinity College in 1672, and held the post until his death.

5. Matematicos Matem¡tico ingl©s (1630 1677). http://www.mat.usach.cl/histmat/html/barr.html

Isacc, Barrow Nació : Octubre 1630 en Londres, Inglaterra Falleció : 4 de Mayo 1677 en Londres, Inglaterra. Barrow desarrollo un método de determinación de tangentes que encierran aproximados métodos de cálculo, fue el primero en reconocer que la integración y la diferenciación son operaciones inversas. Barrow, ingresó al Colegio "Trinity", Cambridge en 1644 graduándose en el 1648. Editó trabajos de Euclídes Arquímedes y Apolonio usando sus destrezas como erudito en Griego y matemáticas. Fue nominado para enseñar griego en Cambridge, fue despedido en 1655 debido a sus puntos de vistas muy reales. Estuvo cuatro años viajando por el este europeo. Al retornar a Inglaterra en 1660, tomó la orden de santidad y fue nombrado para realizar enseñanza de Griego, la cual anteriormente le había sido negada. Con la finalidad de aumentar sus ingresos que eran bajos enseñando griego aceptó el nombramiento para enseñar geometría en el colegio Gresham de Londres. Barrow pronto renuncia a la enseñanza de geometría para servir como el primer profesor lucraciano de matemáticas en Cambridge desde 1663 a 1669. Aunque la enseñanza tenía pocos deberes (Dictó conferencias una vez a la semana), Barrow trabajó más duro que lo necesario para comenzar con una serie de conferencias introductorias. Newton asistió a las conferencias de Barrow y se dedicaban a muchos problemas importantes en física como resultado de la influencia de Barrow. Barrow magnánimamente en 1669 se resignó a que su propio alumno Newton se ocupó de la enseñanza lucasiana.

6. Barrow, Isaac (1630-1677) -- From Eric Weisstein's World Of Scientific Biography Branch of Science " Mathematicians Nationality " English Biography Contributors " Barile barrow, isaac (16301677) This entry contributed by Margherita Barile London mathematician, generally recognized as the founder of differential calculus. His http://scienceworld.wolfram.com/biography/Barrow.html

Branch of Science Mathematicians Nationality English ... Barile Barrow, Isaac (1630-1677) This entry contributed by Margherita Barile London mathematician, generally recognized as the founder of differential calculus His academic career in mathematics officially started in 1662 when he began lecturing geometry at the Gresham College in Cambridge. The year after he was elected Lucasian Professor. Previously he had taught Greek, and actually had devoted the first part of his youth to literary and theological studies. He was converted by the works of St. John Chrysostom and decided to become a priest. In his later years, he retired to ecclesiastical life, after passing his chair on to Newton , his student and collaborator. Barrow's lectures were published in three collections: Lectiones Mathematicae , on the foundations of mathematics, Lectiones Opticorum Phenomenon and Lectiones Opticae et Geometricae , which contained the principles of infinitesimal calculus There we find the "differential triangle," the first geometric description of what we nowadays call the slope of the tangent to a curve. Many of the ideas presented in this work appear in Newton's mathematics, like, e.g., the dynamic concept of curves and surfaces, which are regarded as the tracks produced by moving points and lines respectively. Undoubtedly, Newton and his teacher influenced each other through frequent conversations, and in the written works it is often hard to separate their ideas. Both share an equal merit in giving a general solution to the problem of curve rectification. Barrow was the first to give an explicit differential formula for the infinitesimal

7. BARROW, ISAAC of Lille http://48.1911encyclopedia.org/B/BA/BARROW_ISAAC.htm

document.write(""); BARROW, ISAAC of Lille. In other memoirs, among which may be mentioned those on the Cretaceous rocks of the Ardennes and of the Basin of Oviedo, Spain; on the (Devonian) Calcaire d’Erbray; on the, Palaeozoic rocks of Brittany and of northern Spain; and on the granitic and metamorphic rocks of Brittany, Dr Barrois has proved himself an accomplished petrologist as well as palaeontologist and field-geologist. In 1881 he was awarded the Bigsby medal, and in 1901 the Wollaston medal by the Geological Society of London. He was chosen member of the Institute (Academy of Sdences) in 1904. con quista dos mares e lerras do Orienie, and the edition is accompanied by a volume containing a life of Barros by the historian Manoel Severim de Faria and a copious index of all the Decades. An Italian version in 2 vols. appeared in Venice ill 1561—1562 and a German in 5 vols. in 1821. Clarimundo has gone through the following editions: 1522, 1555, i6oi, 1742, 1791 and 1843, all published in Lisbon. It influenced Francisco de Moraes (q.v.); cf. Purser, Pal merin of England, Dublin, 1904, pp. 44o et seq. The minor works of Barros are described by Innocencio da Silva: Diccionario Bibliographico Portuguez, vol. iii. pp. 320-323 and vol. x. pp. 187-189, and in Severim de Faria’s Life, cited above. A compilation of Barros’s Varia was published by the visconde de Azevedo (Porto, 1869). , (E. PR~)

8. Encyclopædia Britannica Encyclopædia Britannica. barrow, isaac. Encyclopædia Britannica Article http://www.britannica.com/eb/article?eu=13657

9. Isaac Barrow (1630 - 1677) Offers brief biographical sketches of the mathematicians who helped, argued with, contradicted, and supported their more famous colleagues. http://www.maths.tcd.ie/pub/HistMath/People/Barrow/RouseBall/RB_Barrow.html

Isaac Barrow (1630 - 1677) From `A Short Account of the History of Mathematics' (4th edition, 1908) by W. W. Rouse Ball. Isaac Barrow He is described as ``low in stature, lean, and of a pale complexion,'' slovenly in his dress, and an inveterate smoker. He was noted for his strength and courage, and once when travelling in the East he saved the ship by his own prowess from capture by pirates. A ready and caustic wit made him a favourite of Charles II., and induced the courtiers to respect even if they did not appreciate him. He wrote with a sustained and somewhat stately eloquence, and with his blameless life and scrupulous conscientiousness was an impressive personage of the time. His earliest work was a complete edition of the Elements of Euclid, which he issued in Latin in 1655, and in English in 1660; in 1657 he published an edition of the Data . His lectures, delivered in 1664, 1665, and 1666, were published in 1683 under the title Lectiones Mathematicae ; these are mostly on the metaphysical basis for mathematical truths. His lectures for 1667 were published in the same year, and suggest the analysis by which Archimedes was led to his chief results. In 1669 he issued his Lectiones Opticae et Geometricae . It is said in the preface that Newton revised and corrected these lectures, adding matter of his own, but it seems probable from Newton's remarks in the fluxional controversy that the additions were confined to the parts which dealt with optics. This, which is his most important work in mathematics, was republished with a few minor alterations in 1674. In 1675 he published an edition with numerous comments of the first four books of the

10. Barrow Catalog of the Scientific Community. barrow, isaac. Note the creators of the Galileo Project and this catalogue cannot http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Barrow.html

Isaac Barrow Born: Oct 1630 in London, England Died: 4 May 1677 in London, England Click the picture above to see five larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Isaac Barrow 's father, Thomas Barrow, was a linen draper by trade. Thomas married Ann, daughter of William Buggin of North Cray, Kent in 1624 and their son Isaac was born in 1630. Ann died in 1634 and Thomas sent Isaac to live with his grandfather. Perhaps there is truth in the frequently quoted saying that Isaac's father:- ... was heard to pray that should God decide to take one of his children, he could best spare Isaac. Thomas remarried within two years and it is suggested in [5] that this may have been an attempt to get his son back from his father, who was said to be spoiling young Isaac. Thomas planned for Isaac to become a scholar while still a child. He sent Isaac to Charterhouse and paid twice the regular fee to get special attention for Isaac. However Isaac did not receive this attention and acquired the reputation as a bully while his education suffered. When Thomas heard of this, he transferred Isaac to Felstead, Essex in 1640 where the headmaster had a reputation for strict discipline. Here Isaac made rapid progress, both in developing his character and in learning. At Felstead Barrow learnt Greek, Latin, Hebrew and logic in preparation for University. After he had been at Felstead for two years, Issac's father incurred loses of

11. References For Barrow References for isaac barrow. Biography M Feingold (ed.), Before Newton the life and times of isaac barrow (Cambridge New York, 1990). PH http://www-gap.dcs.st-and.ac.uk/~history/References/Barrow.html

References for Isaac Barrow Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: V I Arnol'd, Huygens and Barrow, Newton and Hooke. Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals (Basel, 1990). M Feingold (ed.), Before Newton : the life and times of Isaac Barrow (Cambridge- New York, 1990). P H Osmond, Isaac Barrow His Life and Times (London, 1944). Articles: A G Azpeitia, Isaac Barrow (Spanish), Gac. Mat., Madrid W N Charman, New light on Isaac Barrow's 'Optical lectures', The Optician M Feingold, Newton, Leibniz, and Barrow too : an attempt at a reinterpretation, Isis M Feingold, Isaac Barrow : divine, scholar, mathematician, in Before Newton (Cambridge, 1990), 1-104. M E Flashman, Historical motivation for a calculus course : Barrow's theorem, in Vita mathematica (Washington, DC, 1996), 309-315. K Hill, Neither ancient nor modern : Wallis and Barrow on the composition of continua. II. The seventeenth-century context : the struggle between ancient and modern, Notes and Records Roy. Soc. London

12. Barrow, Isaac Catalog of the Scientific Community barrow, isaac. (Sources on patronage H. Osmond,isaac barrow, His Life and Times, pp. 1314, 98-99. Also Feingold, pp. http://es.rice.edu/ES/humsoc/Galileo/Catalog/Files/barrow.html

Catalog of the Scientific Community Barrow, Isaac Note: the creators of the Galileo Project and this catalogue cannot answer email on genealogical questions. 1. Dates Born: London, Oct. 1630 Died: London, 4 May 1677. datecode Dateinfo: Lifespan: 2. Father Occupation: Merchant Thomas Barrow was a linen-draper with connections with the court. It appears that he was prosperous, until the Puritan victory. 3. Nationality Birth: England Career: England Death: England 4. Education Schooling: Cambridge, M.A. Charterhouse; Felsted in Essex. University of Cambridge (Trinity), 1646-52; B.A., 1648; M.A., 1652. Bachelor of Divinity, 1661 (I don't list this). 5. Religion Affiliation: Anglican 6. Scientific Disciplines Primary: Mathematics, Subordinate: Optics. 7. Means of Support Primary: Academia Secondary: Patronage, Church Life Patronage of Martin Holbeach, Dr. Duport and Henry Hammond during the interregnum. Professor, 1660-9: Professor of Greek in the U. of Cambridge, 1660-2. Professor of geometry in Gresham College, 1662-3. Professor of mathemetics in the U. of Cambridge, 1663-9. Royal chaplain in London, 1669- .

13. Barrow, Isaac barrow, isaac. 1. Dates Born London, Oct. 1630 Died London, 4 May 1677. (Sourceson patronage H. Osmond, isaac barrow, His Life and Times, pp. 1314, 98-99. http://es.rice.edu/ES/humsoc/Galileo/Catalog/FilesBAK1/barrow.html

Barrow, Isaac 1. Dates Born: London, Oct. 1630 Died: London, 4 May 1677. datecode Dateinfo: Lifespan: 2. Father Occupation: Merchant Thomas Barrow was a linen-draper with connections with the court. It appears that he was prosperous, until the Puritan victory. 3. Nationality Birth: England Career: England Death: England 4. Education Schooling: Cambridge, M.A. Charterhouse; Felsted in Essex. University of Cambridge (Trinity), 1646-52; B.A., 1648; M.A., 1652. Bachelor of Divinity, 1661 (I don't list this). 5. Religion Affiliation: Anglican 6. Scientific Disciplines Primary: Mathematics, Subordinate: Optics. 7. Means of Support Primary: Academia Secondary: Patronage, Church Life Patronage of Martin Holbeach, Dr. Duport and Henry Hammond during the interregnum. Professor, 1660-9: Professor of Greek in the U. of Cambridge, 1660-2. Professor of geometry in Gresham College, 1662-3. Professor of mathemetics in the U. of Cambridge, 1663-9. Royal chaplain in London, 1669- . He also received a sinecure from his uncle, a bishop, and in 1671 a prebend in Salisbury. Master of Trinity.

14. Barrow, Isaac Translate this page isaac barrow. isaac barrow wurde im Oktober 1630 in London geboren und starbim Mai 1677 ebenfalls in London. Er war Sohn eines Tuchhändlers http://www.mathe.tu-freiberg.de/~hebisch/cafe/barrow.html

Isaac Barrow Isaac Newtons Archimedischen Spirale bestimmt. Seine Arbeiten sieht man zusammen mit denen Blaise Pascals als letzte Vorstufe der Infinitesimalrechnung an. Loxodrome

15. Spiralen In Naturwissenschaft, Technik Und Kunst - Barrow, Isaac Translate this page erstellt. 4. Forscher. 4.3 barrow. isaac barrow wurde im Oktober 1630in London geboren und starb im Mai 1677 ebenfalls in London. http://www.mathe.tu-freiberg.de/~hebisch/aspiralen/bio/barrow.html

Spiralen in Naturwissenschaft, Technik und Kunst Jan Kriener 4. Forscher 4.3 Barrow Isaac Newtons Seine Arbeiten sieht man zusammen mit denen Blaise Pascals als letzte Vorstufe der Infinitesimalrechnung an. Quelle: 'Lexikon bedeutender Mathematiker', 1. Auflage - Leipzig: Bibliograghisches Institut, 1990

16. BiosWorld What's New 665) (NEW). June 4, 2002. barrow, isaac (16301677) (NEW); Shannon, Claude Elwood(1916-2001) (modified). June 1, 2002. Verhulst, Pierre-Francois (1804-1849) (NEW). http://scienceworld.wolfram.com/biography/whatsnew.html

17. Barrow, Isaac barrow, isaac (16301677) isaac barrow was born in London and schooledat Trinity College, Cambridge. He completed degrees in 1649 http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

Barrow, Isaac (16301677) Isaac Barrow was born in London and schooled at Trinity College, Cambridge. He completed degrees in 1649 and 1652 and became a lecturer at the college. His trans- lation of Euclid was a popular textbook during his era. Barrow left England for five years, traveling in Europe and Asia. During his travels his interests in mathematics grew. When he returned to England, he became professor of geometry and later the first Lucasian professor of mathematics at Cambridge. Barrow was known for combining works of others, such as Descartes Wallis , and Gregory , and making mathematical ideas and results fit together in a unified system. Barrow successfully applied his geometry and calculus to optics, although his work in this area was minor compared to Newton's work, which followed. Barrow gave up his Lucasian professorship in favor of Newton in 1669.

18. Fundamental Theorem Thanks to the foundations provided by barrow, isaac Newton (16421727) masteredthe tangent and quadrature results of the first twothirds of the 17 th century http://occawlonline.pearsoned.com/bookbind/pubbooks/thomas_awl/chapter1/medialib

The Fundamental Theorem of Calculus When we think of the geometric origins of derivatives and integrals, tangent lines to curves and areas, respectively, there is no clue that would suggest the Fundamental Theorem of Calculus. To Eudoxus (ca. 370 B.C. Euclid (ca. 300 B.C. Archimedes B.C. ), Apollonius (ca. 262190 B.C. ), and all of the other mathematicians of classical antiquity, tangent lines quadratures , and cubatures had no special status among their other geometric problems and theorems. To these mathematicians, the Fundamental Theorem of Calculus probably would have been a great surprise. When algebra was first used to describe curves in the analytic geometry of René Descartes (15961650) and Pierre Fermat (16011665), we can see the first faint glimmers of a connection between tangents and quadratures. In his study of the "higher parabolas," y = kx n , where k is constant and n = 2, 3, 4, , Fermat derived the formula y/ k, for the subtangent at any point on the curve. From this, and from our standpoint today, it would have been easy to find the formula for the derivative; but to Fermat, nx n- was not the goal. Some time in the 1640s, Fermat showed that the area between any one of the higher parabolas and the horizontal axis, for

19. Barrow, Isaac. The Columbia Encyclopedia, Sixth Edition. 2001 barrow, isaac. 1630–77, English mathematician and theologian. His method of findingtangents prefigured the differential calculus developed by isaac Newton. http://www.bartleby.com/65/ba/Barrow-I.html

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20. Brewer, E. Cobham. Dictionary Of Phrase & Fable. Barrow, Isaac, D.D. Reference Brewer’s Dictionary Bibliographical Appendix barrow, isaac, DD. 1898.barrow, isaac, DD. (b. London, October, 1630; d. London, May 4th, 1677). http://www.bartleby.com/81/17825.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Bibliographical Appendix Barrie, James Matthew Barry, Right Rev. Alfred, D.D., D.C.L. ... BIBLIOGRAPHIC RECORD E. Cobham Brewer . Dictionary of Phrase and Fable. 1898. Barrow, Isaac, D.D.

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