Enoch Lewis (mathematician)

Last updated
Enoch Lewis. [1]
Enoch Lewis.jpg
Enoch Lewis
Born(1776-01-29)January 29, 1776
DiedJune 14, 1856(1856-06-14) (aged 80)
Scientific career
Fields Geometry, Conic Sections,
Mathematics education,
Land Surveyor
Institutions William Penn Charter School, Westtown School

Enoch Lewis (born in Radnor Township, Delaware County, Pennsylvania 29 January 1776; died in Philadelphia, 14 June 1856) was a mathematician. He early exhibited a talent for mathematics, at the age of fourteen was usher in a country school, and at fifteen became principal. In the autumn of 1792 he removed to Philadelphia, studied mathematics, teaching half of each day to earn his support, and in 1795 was engaged as a surveyor in laying out towns in western Pennsylvania under the direction of Andrew Ellicott. [1] [2]

He belonged to the Society of Friends (Quakers) and he was teaching in the mathematical department in William Penn Charter School (Friends' academy) in Philadelphia, in 1796–1799, subsequently was mathematical tutor at the Westtown School, Pennsylvania, and in 1808 opened a private school for mathematical students in New Garden Township, Pennsylvania, which he successfully taught for several years. [3]

In an article on early American mathematics journals, D.E. Zitarelli writes

We describe six of its major contributors, two of whom are known somewhat (Robert Adrain and Robert M. Patterson), but the other four seem to have slipped into obscurity in spite of accomplishments that deserve more recognition (William Lenhart, Enoch Lewis, John Gummere, and John Eberle).

[4]

He edited mathematical works of John Bonnycastle and Thomas Simpson, and he is well known for the first American edition of Thomas Simpson's Trigonometry with an appendix written by him using the initial E.L.

He published an advanced textbook on spherical projections expanding the Appendix in Simpson's Trigonometry book.

In a review in The Friend it says

This valuable work supplies a vacuum which has long been known to exist in the list of mathematical works, suitable to our colleges and seminaries ... [and] many of the demonstrations are new [7]

Enoch Lewis is an author of text books for schools and colleges:

Other textbook that Lewis had a hand in producing was A Treatise on Surveying [8] published in 1814 by Lewis’ former student, John Gummere (1784–1845) who acknowledged that several of the demonstrations were furnished by Lewis. 40 years after the first edition 17 editions had been published.

Related Research Articles

<span class="mw-page-title-main">John Napier</span> Scottish mathematician (1550–1617)

John Napier of Merchiston, nicknamed Marvellous Merchiston, was a Scottish landowner known as a mathematician, physicist, and astronomer. He was the 8th Laird of Merchiston. His Latinized name was Ioannes Neper.

<span class="mw-page-title-main">William Emerson (mathematician)</span> English mathematician

William Emerson was an English mathematician. He was born in Hurworth, near Darlington, where his father, Dudley Emerson, also a mathematician, taught a school.

<span class="mw-page-title-main">Precalculus</span> Course designed to prepare students for calculus

In mathematics education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level which is designed to prepare students for the study of calculus, thus the name precalculus. Schools often distinguish between algebra and trigonometry as two separate parts of the coursework.

<span class="mw-page-title-main">Thomas Simpson</span> British mathematician and inventor

Thomas Simpson FRS was a British mathematician and inventor known for the eponymous Simpson's rule to approximate definite integrals. The attribution, as often in mathematics, can be debated: this rule had been found 100 years earlier by Johannes Kepler, and in German it is called Keplersche Fassregel, or roughly "Kepler's Barrel Rule".

Abu-Abdullah Muhammad ibn Īsa Māhānī was a Persian mathematician and astronomer born in Mahan, and active in Baghdad, Abbasid Caliphate. His known mathematical works included his commentaries on Euclid's Elements, Archimedes' On the Sphere and Cylinder and Menelaus' Sphaerica, as well as two independent treatises. He unsuccessfully tried to solve a problem posed by Archimedes of cutting a sphere into two volumes of a given ratio, which was later solved by 10th century mathematician Abū Ja'far al-Khāzin. His only known surviving work on astronomy was on the calculation of azimuths. He was also known to make astronomical observations, and claimed his estimates of the start times of three consecutive lunar eclipses were accurate to within half an hour.

<span class="mw-page-title-main">Mathematics in the medieval Islamic world</span> Overview of the role of mathematics in the Golden Age of Islam

Mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, was built on Greek mathematics and Indian mathematics. Important progress was made, such as full development of the decimal place-value system to include decimal fractions, the first systematised study of algebra, and advances in geometry and trigonometry.

William Rutherford (1798–1871) was an English mathematician famous for his calculation of 208 digits of the mathematical constant π in 1841.

James Inman (1776–1859), an English mathematician and astronomer, was professor of mathematics at the Royal Naval College, Portsmouth, and author of Inman's Nautical Tables.

<span class="mw-page-title-main">Trigonometry</span> Area of geometry, about angles and lengths

Trigonometry is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios such as sine.

This is a timeline of pure and applied mathematics history. It is divided here into three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words, a "syncopated" stage in which quantities and common algebraic operations are beginning to be represented by symbolic abbreviations, and finally a "symbolic" stage, in which comprehensive notational systems for formulas are the norm.

<span class="mw-page-title-main">S. L. Loney</span> British mathematician

Sydney Luxton Loney, M.A. was a Professor of Mathematics at the Royal Holloway College, Egham, Surrey, and a fellow of Sidney Sussex College, Cambridge, England. He authored a number of mathematics texts, some of which have been reprinted numerous times. He is known as an early influence on Srinivasa Ramanujan.

<span class="mw-page-title-main">James Wood (mathematician)</span> English mathematician (1760–1839)

James Wood was a mathematician, and Master of St John's College, Cambridge. In his later years he was Dean of Ely.

<i>Mirifici Logarithmorum Canonis Descriptio</i> First publication of complete tables of logarithms, 1614

Mirifici Logarithmorum Canonis Descriptio and Mirifici Logarithmorum Canonis Constructio are two books in Latin by John Napier expounding the method of logarithms. While others had approached the idea of logarithms, notably Jost Bürgi, it was Napier who first published the concept, along with easily used precomputed tables, in his Mirifici Logarithmorum Canonis Descriptio.

<span class="mw-page-title-main">Oliver Byrne (mathematician)</span> Engineer and author

Oliver Byrne was a civil engineer and prolific author of works on subjects including mathematics, geometry, and engineering. He is best known for his 'coloured' book of Euclid's Elements. He was also a large contributor to Spon's Dictionary of Engineering.

<span class="mw-page-title-main">Webster Wells</span>

Webster Wells (1851–1916) was an American mathematician known primarily for his authorship of mathematical textbooks.

John Bonnycastle was an English teacher of mathematics and author.

John Radford Young was an English mathematician, professor and author, who was almost entirely self-educated. He was born of humble parents in London. At an early age he became acquainted with Olinthus Gilbert Gregory, who perceived his mathematical ability and assisted him in his studies. In 1823, while working in a private establishment for the deaf, he published An Elementary Treatise on Algebra with a dedication to Gregory. This treatise was followed by a series of elementary works, in which, following in the steps of Robert Woodhouse, Young familiarized English students with continental methods of mathematical analysis.

John Speidell was an English mathematician. He is known for his early work on the calculation of logarithms.

John Robertson (1712–1776) was an English mathematician, and a Fellow, clerk and librarian of the Royal Society. His book The Elements of Navigation became a classic textbook.

<span class="mw-page-title-main">Charles Davies (professor)</span>

Charles Davies was a professor of mathematics at the United States Military Academy, notable for writing a series of mathematical textbooks.

References

  1. 1 2 J. Smith Futhey, History of Chester County, Pennsylvania, with Genealogical and Biographical Sketches, pages 628–633, Philadelphia, 1881
  2. A memoir of Enoch Lewis by Joseph Jackson Lewis, West Chester, Pa. 1882. Facsimile reprint of the original in 2007 by Kessinger Publishing, LLC.
  3. Paul W Graseck: Quaker, teacher, abolitionist: The life of educator-reformer Enoch Lewis, 1776–1856, Doctoral Dissertations, University of Connecticut, USA, 1996.
  4. David E. Zitarelli, The Bicentennial of American Mathematics Journals, The College Mathematics Journal, Vol. 36. No.1, pp. 2–15, 2005
  5. Thomas Simpson: Trigonometry, Plane and Spherical: With the Construction and Application of Logarithms. With an appendix on spherical projections. First American edition. Philadelphia 1810
  6. John Bonnycastle: An introduction to algebra; with notes and observations: designed for the use of schools and places of public education,. First American edition. Philadelphia 1806
  7. The Friend, Volume 43, 1845
  8. John Gummere :A Treatise on Surveying, Containing the Theory and Practice; to Which is Prefixed, A Perspicuous System of Plane Trigonometry Philadelphia, USA 1814.