Halsted, George Bruce 18531922
Overview
Works:  136 works in 407 publications in 3 languages and 4,104 library holdings 

Genres:  History Miscellanea Dictionaries 
Roles:  Translator, Author, Editor, Other, Contributor, Author of introduction 
Classifications:  QA685, 501 
Publication Timeline
.
Most widely held works about
George Bruce Halsted
 Halsted's translation of Lobachevskii's Theory of parallels : an historical introduction by Albert C Lewis( Book )
 Topology Conference Emroy University by Topology Conference( Book )
 Moore, R.L., Papers by R. L Moore( )
 The science absolute of space independent of the truth or falsity of Euclid's axiom XI (which never can be decided a priori) by János Bolyai( Book )
 Halsted, George Bruce : Princeton A.B. 1875, A.M. 1878 by Joshua Lawrence Chamberlain( )
 Some testimonials and credentials of G.B. Halsted by George Bruce Halsted( Book )
 Halsted, George Bruce( )
 Halsted, George Bruce, papers by George Bruce Halsted( )
more
fewer
Most widely held works by
George Bruce Halsted
Geometrical researches on the theory of parallels by
N. I Lobachevskiĭ(
Book
)
30 editions published between 1891 and 2015 in English and held by 851 WorldCat member libraries worldwide
30 editions published between 1891 and 2015 in English and held by 851 WorldCat member libraries worldwide
The foundations of science : science and hypothesis, the value of science, science and method by
Henri Poincaré(
Book
)
21 editions published between 1913 and 2015 in English and held by 644 WorldCat member libraries worldwide
A member of the Académie française, Henri Poincaré (1854–1912) was one of the greatest mathematicians and theoretical physicists of the late nineteenth and early twentieth centuries. His discovery of chaotic motion laid the foundations of modern chaos theory, and he was acknowledged by Einstein as a key contributor in the field of special relativity. He earned his enduring reputation as a philosopher of mathematics and science with this elegantly written work, which was first published in French as three separate essays: Science and Hypothesis (1902), The Value of Science (1905), and Science and Method (1908). Poincaré asserts that much scientific work is a matter of convention, and that intuition and prediction play key roles. George Halsted's authorised 1913 English translation retains Poincaré's lucid prose style, presenting complex ideas for both professional scientists and those readers interested in the history of mathematics and the philosophy of science
21 editions published between 1913 and 2015 in English and held by 644 WorldCat member libraries worldwide
A member of the Académie française, Henri Poincaré (1854–1912) was one of the greatest mathematicians and theoretical physicists of the late nineteenth and early twentieth centuries. His discovery of chaotic motion laid the foundations of modern chaos theory, and he was acknowledged by Einstein as a key contributor in the field of special relativity. He earned his enduring reputation as a philosopher of mathematics and science with this elegantly written work, which was first published in French as three separate essays: Science and Hypothesis (1902), The Value of Science (1905), and Science and Method (1908). Poincaré asserts that much scientific work is a matter of convention, and that intuition and prediction play key roles. George Halsted's authorised 1913 English translation retains Poincaré's lucid prose style, presenting complex ideas for both professional scientists and those readers interested in the history of mathematics and the philosophy of science
Girolamo Saccheri's Euclides vindicatus by
Girolamo Saccheri(
Book
)
24 editions published between 1920 and 2007 in English and Latin and held by 465 WorldCat member libraries worldwide
24 editions published between 1920 and 2007 in English and Latin and held by 465 WorldCat member libraries worldwide
Euclid vindicated from every blemish by
Girolamo Saccheri(
)
7 editions published in 2014 in English and held by 319 WorldCat member libraries worldwide
This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate, and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of nonEuclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of nonEuclidean geometries
7 editions published in 2014 in English and held by 319 WorldCat member libraries worldwide
This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate, and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of nonEuclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of nonEuclidean geometries
Rational geometry ; a textbook for the science of space by
George Bruce Halsted(
Book
)
14 editions published between 1904 and 2012 in English and held by 208 WorldCat member libraries worldwide
14 editions published between 1904 and 2012 in English and held by 208 WorldCat member libraries worldwide
Synthetic projective geometry by
George Bruce Halsted(
Book
)
12 editions published between 1906 and 2012 in English and Undetermined and held by 177 WorldCat member libraries worldwide
12 editions published between 1906 and 2012 in English and Undetermined and held by 177 WorldCat member libraries worldwide
The science absolute of space; independent of the truth or falsity of Euclid's axiom XI (which can never be decided a priori) by
János Bolyai(
)
19 editions published between 1891 and 1980 in English and held by 160 WorldCat member libraries worldwide
19 editions published between 1891 and 1980 in English and held by 160 WorldCat member libraries worldwide
On the foundation and technic of arithmetic by
George Bruce Halsted(
Book
)
5 editions published in 1912 in English and held by 145 WorldCat member libraries worldwide
5 editions published in 1912 in English and held by 145 WorldCat member libraries worldwide
The elements of geometry by
George Bruce Halsted(
Book
)
23 editions published between 1855 and 1903 in English and held by 131 WorldCat member libraries worldwide
23 editions published between 1855 and 1903 in English and held by 131 WorldCat member libraries worldwide
Higher mathematics : a textbook for classical and engineering colleges by
Mansfield Merriman(
)
10 editions published between 1896 and 1902 in English and held by 123 WorldCat member libraries worldwide
10 editions published between 1896 and 1902 in English and held by 123 WorldCat member libraries worldwide
Metrical geometry. An elementary treatise on mensuration by
George Bruce Halsted(
Book
)
17 editions published between 1881 and 2010 in English and Undetermined and held by 112 WorldCat member libraries worldwide
17 editions published between 1881 and 2010 in English and Undetermined and held by 112 WorldCat member libraries worldwide
The value of science by
Henri Poincaré(
Book
)
8 editions published between 1907 and 2014 in English and held by 107 WorldCat member libraries worldwide
Psychologie / Physik / Mathematik
8 editions published between 1907 and 2014 in English and held by 107 WorldCat member libraries worldwide
Psychologie / Physik / Mathematik
Elementary synthetic geometry by
George Bruce Halsted(
Book
)
13 editions published between 1892 and 2010 in English and Undetermined and held by 96 WorldCat member libraries worldwide
13 editions published between 1892 and 2010 in English and Undetermined and held by 96 WorldCat member libraries worldwide
Rational geometry; a textbook for the science of space; based on Hilbert's foundations by
George Bruce Halsted(
Book
)
9 editions published between 1904 and 1907 in English and held by 93 WorldCat member libraries worldwide
9 editions published between 1904 and 1907 in English and held by 93 WorldCat member libraries worldwide
The science absolute of space by
János Bolyai(
Book
)
5 editions published between 1895 and 1992 in English and held by 63 WorldCat member libraries worldwide
5 editions published between 1895 and 1992 in English and held by 63 WorldCat member libraries worldwide
NonEuclidean geometry; a critical and historical study of its development by
Roberto Bonola(
Book
)
7 editions published in 1955 in English and held by 48 WorldCat member libraries worldwide
Authorized English translation with additional appendices by H.S. Carslaw. With an introd. by Federigo Enriques. With a suppl. containing the George Bruce Halsted translations of The science of absolute space, by John Bolyai [and] The theory of parallels, by Nicholas Lobachevski
7 editions published in 1955 in English and held by 48 WorldCat member libraries worldwide
Authorized English translation with additional appendices by H.S. Carslaw. With an introd. by Federigo Enriques. With a suppl. containing the George Bruce Halsted translations of The science of absolute space, by John Bolyai [and] The theory of parallels, by Nicholas Lobachevski
Géométrie rationnelle : traité élémentaire de la science de l'espace by
George Bruce Halsted(
Book
)
15 editions published between 1907 and 1911 in 3 languages and held by 42 WorldCat member libraries worldwide
15 editions published between 1907 and 1911 in 3 languages and held by 42 WorldCat member libraries worldwide
Nicolái Ivánovich Lobachévsky; address pronounced at the commemorative meeting of the Imperial University of Kasán, October
22, 1893 by
A Vasilʹev(
Book
)
3 editions published in 1894 in English and held by 38 WorldCat member libraries worldwide
3 editions published in 1894 in English and held by 38 WorldCat member libraries worldwide
The foundations of science by
Henri Poincaré(
)
3 editions published between 1913 and 2015 in English and held by 22 WorldCat member libraries worldwide
Ben shu chan shu le ke xue de ding li, bing pang zheng bo yin de jie xi le ke xue wei he wu, ke xue zai ren lei she hui zhong de jia zhi, ji dui dang shi wu li xue wei ji de kan fa
3 editions published between 1913 and 2015 in English and held by 22 WorldCat member libraries worldwide
Ben shu chan shu le ke xue de ding li, bing pang zheng bo yin de jie xi le ke xue wei he wu, ke xue zai ren lei she hui zhong de jia zhi, ji dui dang shi wu li xue wei ji de kan fa
The unverifiable hypotheses of science by
George Bruce Halsted(
)
2 editions published in 1910 in English and held by 19 WorldCat member libraries worldwide
2 editions published in 1910 in English and held by 19 WorldCat member libraries worldwide
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Audience Level
0 

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Related Identities
 Lobachevskiĭ, N. I. (Nikolaĭ Ivanovich) 17921856 Author
 Poincaré, Henri 18541912 Author
 Saccheri, Girolamo 16671733 Author Contributor
 Royce, Josiah Author of introduction
 Allegri, L. (Linda) 19081977 Other Translator Contributor
 De Risi, Vincenzo Author Editor
 Bolyai, János 18021860 Author
 Johnson, William Woolsey 18411927
 Hyde, E. W. (Edward Wyllys) 1843
 Byerly, William Elwood 18491935
Useful Links
Associated Subjects
American Mathematical Society Archibald, Raymond Clare, Arithmetic Armentrout, Steve Beckenbach, Edwin F Bell, Eric Temple, Bing, R. H Birkhoff, Garrett, Bliss, Gilbert Ames, Bôcher, Maxime, Chittenden, Edward Wilson Dickson, Leonard E.(Leonard Eugene), Educators Error analysis (Mathematics) Exponential functions Fréchet, Maurice, Geometry Geometry, Hyperbolic Geometry, NonEuclidean Geometry, Projective Halsted, George Bruce, Handbooks, vademecums, etc Harmonic analysis Hyperspace Kenyon College Kuratowski, Kazimierz, Lefschetz, Solomon, Lobachevskiĭ, N. I.(Nikolaĭ Ivanovich), Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching Measurement Moore, Eliakim Hastings, Moore, R. L.(Robert Lee), Parallels (Geometry) Philosophy Richardson, R. G. D.(Roland George Dwight), Rudin, Mary Ellen, Science ScienceMethodology SciencePhilosophy Space and time Stone, Marshall H.(Marshall Harvey), Topology United States Veblen, Oswald, Vector analysis Whyburn, Gordon Thomas, Wilder, Raymond Louis,
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Alternative Names
G. B. Halsted Amerikaans wiskundige (18531922)
G. B. Halsted amerikansk matematikar
G. B. Halsted amerikansk matematiker
G. B. Halsted matemático estadounidense
G. B. Halsted matematico statunitense
G. B. Halsted mathématicien américain
G・B・ハルステッド
George Bruce Halsted
George Bruce Halsted Amerikaans wiskundige (18531922)
George Bruce Halsted matemàtic estatunidenc
George Bruce Halsted USamerikanischer Mathematiker
Halsted, G. B.
Halsted, George B.
ハルステッド
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