{"id":95,"date":"2013-07-10T15:02:35","date_gmt":"2013-07-10T15:02:35","guid":{"rendered":"http:\/\/www.larsoncalculus.com\/etf6\/?p=95"},"modified":"2013-07-11T13:04:32","modified_gmt":"2013-07-11T13:04:32","slug":"wallis-john","status":"publish","type":"page","link":"https:\/\/www.larsoncalculus.com\/etf6\/content\/biographies\/wallis-john\/","title":{"rendered":"Wallis, John"},"content":{"rendered":"<h1>John Wallis<\/h1>\r\n<p>(1616 &#8211; 1703)<\/p>\r\n\r\n<p>John Wallis is generally considered to have been the most influential English mathematician to precede Newton. Wallis\u2019s discoveries advanced his era\u2019s two most significant branches of mathematics, analytic geometry and infinite analysis. He was among those who coaxed British universities out of the Middle Ages, during which mathematics was regarded as an instrument of Satan, and persuaded Cambridge and Oxford to include mathematics in their curriculum. Wallis is also credited with important contributions to medicine, theology, and linguistics.<\/p>\r\n\r\n<p>Wallis, the third of five children, was born on December 3, 1616, in Ashford, Kent, in England. His father, also named John, was a minister held in high esteem by his parish. Unfortunately, Pastor Wallis died when his son was only six years old.<\/p>\r\n\r\n<p>Despite the loss of her husband, young John\u2019s mother was determined to procure an education for her children. By the time he entered Emmanuel College at Cambridge University in 1632, John was thoroughly conversant with Latin, Greek, and logic, and had a smattering of Hebrew and mathematics.<\/p>\r\n\r\n<p>Wallis\u2019s first ambition was to be a doctor. Accordingly, he studied physics and anatomy, and successfully defended William Harvey\u2019s theories of the function of the heart and the circulation of the blood. Wallis\u2019s oral dissertation is believed to have been the first public presentation of Harvey\u2019s revolutionary discoveries.<\/p>\r\n\r\n<p>Next, Wallis chose to study theology in preparation for the ministry, and was ordained in 1640. Wallis found a post in London as a private chaplain and lived uneventfully until 1642, when Parliament revolted against England\u2019s Charles I. Soon thereafter, Wallis was shown some Royalist letters captured by Cromwell\u2019s forces. The letters were in code; Wallis discovered, to his surprise, that he was able to decipher the letters with relative ease. From that point until the end of the war, Wallis was much in demand as a cryptographer.<\/p>\r\n\r\n<p>In 1649, in recognition of his service to the revolution, Parliament appointed Wallis the Savilian professor of geometry at Oxford. In mathematics, apparently, Wallis found his true calling, for he served at Oxford with distinction until his death fifty-four years later. He had long been interested in mathematics, and was a central figure in the mathematical discussion group that would come to be known as the Royal Society of London. Soon, Wallis was acknowledged as one of the most influential and innovative mathematicians in all of England.<\/p>\r\n\r\n<p>Wallis wrote a number of treatises, but most important was his <em>Arithmetica infinitorum<\/em>, published in 1655. Though criticized for its lack of rigor, the <em>Arithmetic of Infinities<\/em> shows true intuitive genius. To arithmetize the works of Descartes and Cavalieri, Wallis devised a method of interpolation that enabled him to express irrational numbers in terms of infinite series. The <em>Arithmetic of Infinities<\/em> also has the distinction of having inspired Newton\u2019s discovery of the binomial theorem.<\/p>\r\n\r\n<p>Another of Wallis\u2019s many interests was linguistics. In 1661, he taught two deaf-mutes to speak. Wallis was among the first to attempt such instruction, and the first to succeed. He laid the theoretical foundation of his innovative approach in his <em>De loquela<\/em>, or <em>Treatise of Speech<\/em>, first published in 1652.<\/p>\r\n\r\n<p>Although Wallis\u2019s brilliance and creativity is undisputed, he was by no means admirable in every respect. Cursed with a quick temper and a tendency towards irrational resentment, Wallis frequently found himself embroiled in bitter, violent controversy. He also had an unfortunate talent for creating quarrels between others. One example is the infamous battle between Leibniz and Newton, sparked when Wallis inaccurately suggested to Newton that Leibniz had plagiarized Newton\u2019s invention of the calculus. Until Wallis interjected his slanderous innuendos, Leibniz and Newton had been good friends and mutual admirers. Wallis was so successful in poisoning their relationship that Newton thought of virtually nothing for the rest of his life but destroying Leibniz\u2019s reputation.<\/p>\r\n\r\n<p>Wallis never missed an opportunity to boast of his achievements, but was often reluctant to acknowledge the scientists whose work inspired his own. Nevertheless, Wallis was an exceptionally gifted man whose discoveries ushered in a new era of mathematical achievement. As the epitaph engraved on his burial stone proclaims, \u201c. . . he left immortal works.\u201d Wallis died at eighty-six years of age on November 8, 1703, in Oxford, England.<\/p>\r\n\r\n<h3>Links<\/h3>\r\n<p>\r\n<a href=\"http:\/\/www-history.mcs.st-andrews.ac.uk\/Biographies\/Wallis.html\" target=\"_blank\">http:\/\/www-history.mcs.st-andrews.ac.uk\/Biographies\/Wallis.html<\/a>\r\n<br\/>\r\n<a href=\"http:\/\/www.maths.tcd.ie\/pub\/HistMath\/People\/Wallis\/RouseBall\/RB_Wallis.html\" target=\"_blank\">http:\/\/www.maths.tcd.ie\/pub\/HistMath\/People\/Wallis\/RouseBall\/RB_Wallis.html<\/a>\r\n<\/p>\r\n\r\n<h3>References<\/h3>\r\n<ul>\r\n<li>Boyer, Carl B. <em>A History of Mathematics<\/em>. 2d ed., rev. Uta C. Merzbach. New York: John Wiley &#038; Sons, Inc., 1991.<\/li>\r\n<li>Eves, Howard. <em>An Introduction to the History of Mathematics<\/em>. 6th ed. Fort Worth: Saunders College Publishing, 1992.<\/li>\r\n<li>Gillispie, Charles Coulston, ed. <em>Dictionary of Scientific Biography<\/em>. Vol. XIV. New York: Charles Scribner\u2019s Sons, 1976.<\/li>\r\n<li>Gillispie, Charles Coulston, ed. <em>Dictionary of Scientific Biography<\/em>. Vol. XIV. New York: Charles Scribner\u2019s Sons, 1976.<\/li>\r\n<li>Kline, Morris. <em>Mathematical Thought from Ancient to Modern Times<\/em>. Vol. I. New York: Oxford University Press, 1972.<\/li>\r\n<li>Simmons, George F. <em>Calculus Gems: Brief Lives and Memorable Mathematics<\/em>. New York: McGraw-Hill, Inc., 1992.<\/li>\r\n<li>Struik, Dirk J. <em>A Concise History of Mathematics<\/em>. New York: Dover Publications, Inc., 1987.<\/li>\r\n<\/ul>","protected":false},"excerpt":{"rendered":"John Wallis (1616 &#8211; 1703) John Wallis is generally considered to have been the most influential English mathematician to precede Newton. Wallis\u2019s discoveries advanced his era\u2019s two most significant branches of mathematics, analytic geometry and infinite analysis. He was among &hellip; <a href=\"https:\/\/www.larsoncalculus.com\/etf6\/content\/biographies\/wallis-john\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a>","protected":false},"author":1,"featured_media":0,"parent":41,"menu_order":40,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-95","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/pages\/95","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/comments?post=95"}],"version-history":[{"count":0,"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/pages\/95\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/pages\/41"}],"wp:attachment":[{"href":"https:\/\/www.larsoncalculus.com\/etf6\/wp-json\/wp\/v2\/media?parent=95"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}