Gödel's incompleteness theorem, another celebrated result, shows that there are inherent limitations in what can be achieved with formal proofs in mathematics.

With Frederick Waugh, he introduced the celebrated Frisch – Waugh theorem ( Econometrica 1933 ) ( sometimes referred to as the Frisch – Waugh – Lovell theorem ).

This is his celebrated hyperbolic Dehn surgery theorem.

A more precise form is given by the celebrated prime number theorem: the quotient of the two expressions approaches 1. 0 as tends to infinity.

The same work contained the celebrated formula known as Taylor's theorem, the importance of which remained unrecognised until 1772, when J. L. Lagrange realized its powers and termed it " le principal fondement du calcul différentiel " (" the main foundation of differential calculus ").

These techniques were used in Raoul Bott's proof of his celebrated periodicity theorem.

The conjecture remained unresolved for 40 years, until it was established as the celebrated strong perfect graph theorem in 2002 by Chudnovsky, Robertson, Seymour, Thomas 2002.

The story of this celebrated mathematical problem was also the subject of Singh's first book, Fermat's last theorem.

Hence Tarski's theorem is much easier to motivate and prove than the more celebrated theorems of Gödel about the metamathematical properties of first-order arithmetic.

Among his mathematical accomplishments was the discovery and proof of the celebrated Morley's trisector theorem in elementary plane geometry.

Dandelin, the geometer who discovered the celebrated Dandelin spheres, came up with a beautiful proof using " 3D lifting " technique that is analogous to the 3D proof of Desargues ' theorem.

* In 1930, he proved the celebrated Stone – von Neumann uniqueness theorem.

It was in this journal, in 1933, that Alfred Tarski — whose illustrious career would a few years later take him to the University of California, Berkeley — published his celebrated theorem on the undefinability of the notion of truth.

This is part of his celebrated hyperbolization theorem for Haken manifolds.

The lemma is less celebrated than stronger theorems, such as the Riemann mapping theorem, which it helps to prove.

He then worked on noncommutative rings, proving his celebrated theorem on embedding a domain into a division ring.

The Math Department at UIUC celebrated the new primes with a postal meter cancellation stamp — until Kenneth Appel | Appel and Wolfgang Haken | Haken proved the Four color theorem | 4-color theorem in 1976.

Anomalous theories have been studied in great detail and are often founded on the celebrated Atiyah – Singer index theorem or variations thereof ( see, for example, the chiral anomaly ).

This humoristic effect is more difficult to see nowadays, because the reader must me able to distinguish those two old versions of the language, but when the book was published it was very much celebrated.

The book was celebrated in the Middle Ages, in part because of the approval given to it by Pope Eugenius III, and was later printed in Paris in 1513.

Dewey's most significant writings were " The Reflex Arc Concept in Psychology " ( 1896 ), a critique of a standard psychological concept and the basis of all his further work ; Democracy and Education ( 1916 ), his celebrated work on progressive education ; Human Nature and Conduct ( 1922 ), a study of the function of habit in human behavior ; The Public and its Problems ( 1927 ), a defense of democracy written in response to Walter Lippmann's The Phantom Public ( 1925 ); Experience and Nature ( 1925 ), Dewey's most " metaphysical " statement ; Art as Experience ( 1934 ), Dewey's major work on aesthetics ; A Common Faith ( 1934 ), a humanistic study of religion originally delivered as the Dwight H. Terry Lectureship at Yale ; Logic: The Theory of Inquiry ( 1938 ), a statement of Dewey's unusual conception of logic ; Freedom and Culture ( 1939 ), a political work examining the roots of fascism ; and Knowing and the Known ( 1949 ), a book written in conjunction with Arthur F. Bentley that systematically outlines the concept of trans-action, which is central to his other works.

The celebrated book collectors of Hellenistic Antiquity were listed in the late 2nd century in Deipnosophistae.

Another is the graded system of books followed by teachers of the Suzuki method, in which the completion of each book is celebrated, without a system of marking or ranking of pupils.

Arthur Ransome, celebrated author of the classic Swallows and Amazons series of books, titled the eleventh book of the series " The Picts and the Martyrs ".

* 1915: Ceux de Chez Nous ( Those at Home: biographical, home movies ) Among other celebrated persons of the era, there is a brief scene featuring Sarah sitting on a park bench and reading from a book.

His celebrated book, The Garden of the Finzi-Continis, was published in Italian as Giardino del Finzi-Contini, 1962, by Guilio Einaudi editore s. p. a.

Geraldine Maillet, the celebrated French writer and former model, relates with humour and cynicism the rise and decline of the supermodels in her book Presque Top Model.

Blunden's love of cricket, celebrated in his book Cricket Country, is described by the biographer Philip Ziegler as fanatical.

In 1997, the Tribune celebrated its 150th anniversary in part by tapping longtime reporter Stevenson Swanson to edit the book Chicago Days: 150 Defining Moments in the Life of a Great City.

Hannah Arendt, one of the 20th century's most celebrated Jewish thinkers, made a dramatic accusation against the Judenräte in her 1963 book Eichmann in Jerusalem: She claimed that without the Judenrätes assistance in the registration of the Jews, their concentration in ghettos and, later, their active assistance in the Jews ' deportation to extermination camps, many fewer Jews would have perished because the Germans would have encountered considerable difficulties in drawing up lists of Jews.

They saw Gone With the Wind as a book that celebrated the slave system and condemned the forces that destroyed it.

Though one of the most celebrated of comic book artists, Crumb's entire career has unfolded outside the mainstream comic book publishing industry.

Lake City's Centennial was celebrated in 1959 with parades, fireworks and a 58-page book documenting one hundred years of progress, “ A Century in the Sun ”.

Bulgarian-American Stephane Groueff wrote the celebrated book " Manhattan Project ", about the making of the first atomic bomb and also penned " Crown of Thorns ", a biography of Tsar Boris III of Bulgaria.

Some supporters have celebrated book burning cases in art and other media.

In June the monastery celebrated its centenary, for which Merton authored the book Gethsemani Magnificat in commemoration.

However, celebrated writers such as G. K. Chesterton, Arthur Conan Doyle, Clayton Rawson and Sax Rohmer have had their works adapted to comic book form.

He writes in the Southern Gothic aesthetic in his distinctly Faulknerian 1965 debut, The Orchard Keeper, and Suttree ( 1979 ); in the Epic Western tradition, with grotesquely drawn characters and symbolic narrative turns reminiscent of Melville, in Blood Meridian ( 1985 ), which Harold Bloom styled " the greatest single book since Faulkner ’ s As I Lay Dying ," calling the character of Judge Holden " short of Moby Dick, the most monstrous apparition in all of American literature "; in a much more pastoral tone in his celebrated Border Trilogy ( 1992 – 98 ) of bildungsromans, including All the Pretty Horses ( 1992 ), winner of the National Book Award ; and in the post-apocalyptic genre in the Pulitzer Prize-winning The Road ( 2007 ).

Alone in a private room, all swore an oath of secrecy on a prayer book, and then in another room celebrated Mass with the Jesuit priest ( and friend to Catesby ) John Gerard.

The two towns were separated by one degree on the meridian, so from his measurement he was able to calculate a value for the circumference of the earth – a feat celebrated in the title of his book Eratosthenes Batavus ( The Dutch Eratosthenes ), published in 1617.

The book quickly became the first literary success by an American author in Europe and turned Crèvecœur into a celebrated figure.