G. B. Halsted | Academic Influence

G. B. Halsted's AcademicInfluence.com Rankings

G. B. Halsted

Mathematics

#2064

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Measure Theory

#3602

Historical Rank

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Mathematics

G. B. Halsted's Degrees

PhD Mathematics Johns Hopkins University

Why Is G. B. Halsted Influential?

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According to Wikipedia, George Bruce Halsted , usually cited as G. B. Halsted, was an American mathematician who explored foundations of geometry and introduced non-Euclidean geometry into the United States through his translations of works by Bolyai, Lobachevski, Saccheri, and Poincaré. He wrote an elementary geometry text, Rational Geometry, based on Hilbert's axioms, which was translated into French, German, and Japanese. Halsted produced original works in synthetic geometry, first with an elementary text in 1896, and with a text on synthetic projective geometry in 1906.

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G. B. Halsted's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The foundations of science (340)
The Value of Science (215)
Elements of Geometry (56)
The International Congress of Mathematicians (1900) (52)
The Collected Mathematical Papers of Arthur Cayley (1899) (46)
Geometrical researches on the theory of parallels (1915) (41)
SOPHUS LIE (1899) (40)
Bibliography of Hyper-Space and Non-Euclidean Geometry (11)
The Betweenness Assumptions (1902) (9)
PLUS AND MINUS. (1913) (7)
Scientific Books: The Foundations of Geometry (1902) (6)
Rational geometry : a text-book for the science of space (6)
BIOLOGY AND MATHEMATICS. (1905) (5)
REPORT ON PROGRESS IN NON-EUCLIDEAN GEOMETRY. (1899) (4)
THE CULTURE GIVEN BY SCIENCE. (1896) (4)
Four-Fold Space and Two-Fold Time. (1892) (4)
Gauss and the non-Euclidean Geometry (1900) (4)
ARTHUR CAYLEY. (4)
Addenda to Bibliography of Hyper-Space and Non-Euclidean Geometry (1879) (4)
ORIGINAL RESEARCH AND CREATIVE AUTHORSHIP THE ESSENCE OF UNIVERSITY TEACHING. (1895) (4)
Biography: [Nicolai Ivanovich] Lobachevsky (1895) (3)
VIII.—NOTES AND DISCUSSIONSProf. Jevons's criticism of Boole's Logical System (3)
THE LOBACHEVSKI PRIZE. (1895) (3)
Biography: Paenutij Lvovitsch Tchebychev (1895) (3)
Russian Science Notes (1895) (3)
NON-EUCLIDEAN GEOMETRY IN THE ENCYCLOPAeDIA BRITANNICA. (1912) (3)
Biography: Sophus Lie (1899) (3)
On the Foundation and Technic of Arithmetic (1913) (3)
Klein's Evanston Lectures (3)
Theoretical and Practical Graphics (1898) (3)
James Joseph Sylvester, LL.D., F. R. S. (1897) (3)
Non-Euclidean Geometry: Historical and Expository (1894) (3)
Biography: Felix Klein (1894) (2)
THE BOLYAI PRIZE. (1905) (2)
De Morgan to Sylvester. (2)
Report on Progress in Non-Euclidean Geometry (1899) (2)
Biography: [John Bolyai] (1898) (2)
Simon's Claim for Gauss in Non-Euclidean Geometry (1904) (2)
PI in Asia (1908) (2)
THE ESSENCE OF NUMBER. (1896) (2)
Elementary synthetic geometry (2)
Queries and Information (1895) (2)
COMPLIMENT OR PLAGIARISM. (1897) (2)
Pafnutij Lvovitsch Tchebychev (1895) (2)
Bolyai János. [John Bolyai.] (1898) (2)
JAMES EDWARD OLIVER. (1895) (2)
Biographical Sketch of Paul Barbarin (1908) (2)
The Non-Euclidean Geometry Inevitable. (1894) (2)
Biography: Charles Hermite (1901) (1)
EVEN PERFECT MEASURING IMPOTENT. (1907) (1)
The Popularization of Non-Euclidean Geometry (1901) (1)
Biography: John Henry Lambert (1895) (1)
Biography: [Augustus] De Morgan (1)
Biography: Arthur Cayley (1895) (1)
Non-Euclidean Geometry (1900) (1)
Biography: [Alexander Vasilievitch] Vasiliev (1897) (1)
The Foundations of Geometry (1897) (1)
COMPLIMENT OR PLAGIARISM. (1897) (1)
Biography: [Pafnuti Lvovich] Tchebychev (1898) (1)
Biography: [Guillaume Jules] Houles (1897) (1)
THE FIRST AWARD OF THE LOBACHEVSKI PRIZE. (1898) (1)
RUSSIAN SCIENCE NEWS. (1896) (1)
A Non-Euclidean Gem (1902) (1)
Number and its Algebra; Syllabus of Lectures on the Theory of Number and its Algebra (1896) (1)
Note on the First English Euclid (1879) (1)
Number, Counting, Measurement (1896) (1)
Biography: James Joseph Sylvester (1894) (1)
Biography: Franz Schmidt (1901) (1)
Biography: Cristoforo Alasia (1902) (1)
The introduction to Lobachévski's new elements of geometry (1)
Dr. Percival Frost (1899) (1)
Supplementary Report on Non-Euclidean Geometry (1901) (1)
Four-Fold Space and Two-Fold Time (1892) (1)
INTERNATIONAL CONGRESS OF MATHEMATICIANS AT ZURICH IN 1897. (1897) (1)
Biography: Percival Frost (1899) (1)
International Mathematical Congress (1895) (1)
Note on Smith's review of Cajori (1894) (1)
THE MESSAGE OF NON-EUCLIDEAN GEOMETRY. (1904) (1)
Biography: Bolyai Farkas. [Wolfgang Bolyai] (1)
Bolyai Farkas. [Wolfgang Bolyai.] (1)
Some Fallacies in Wentworth's Geometry (1902) (0)
BULLETIN OF THE AMEEICAN MATHEMATICAL SOCIETY THE SUMMER MEETING OF THE AMERICAN MATHEMATICAL SOCIETY (0)
Proving the False (1902) (0)
Halsted's Lobatschewsky's Geometry (1891) (0)
The Lobatcheffsky Centenary. (0)
Easy Corollaries in Non-Euclidean Geometry (1894) (0)
NEWCOMB'S PHILOSOPHY OF HYPER-SPACE. (1898) (0)
Art. 14: Ruled quadric surfaces (0)
THE SCIENCE ABSOLUTE OF SPACE, INDEPENDENT OF THE TRUTH OR FALSITY OF EUCLID'S AXIOM XI (WHICH NEVER CAN BE ESTABLISHED A PRIORI) ; Followed by the geometric quadrature of the circle in the case of the falsity of Axiom XI, (0)
REPORT ON THE BOLYAI PRIZE. (1906) (0)
The Association's “Geometry” (1887) (0)
Resolutions by the French Mathematicians at the Caen Congress (1894) (0)
Art. 17: Transformation pencils and ranges of conics (0)
164. [K. 21. 1.] The Constructions in Halsted’s Rational Geometry (1905) (0)
The Foundations of Geometry. (Including a Notice of the English Translation of Hilbert's Work of the Same Title.) With a Portrait of Lobachevski (0)
Non-Euclidean Spherics (0)
Art. 11: Projective conic ranges (0)
Halsted on the Straight (1896) (0)
James Joseph Sylvester A. M., LL. D., F. R. S., D. C. L. (1894) (0)
Lambert's non-euclidean geometry (1893) (0)
ELEVENTH INTERNATIONAL CONGRESS OF AMERICANISTS. (1895) (0)
SYLVESTER AND CAYLEY. (1916) (0)
A REPLY. (0)
A Reply (1895) (0)
FRACTIONS AND RATIO (0)
The Criterion for Two-term Prismoidal Formulas (0)
The Pseudo-Definition of the Straight Line (1906) (0)
PASTEUR AS ILLUSTRATION OF MODERN SCIENCE. (1895) (0)
Criticisms and Discussions: Easy Non-Euclid. (0)
COMPLIMENT OR PLAGIARISM. (1897) (0)
Russian Science News (1896) (0)
Art. 16: Homography and reciprocation (0)
The Geometric Old and New (1900) (0)
An elementary treatise on mensuration : metrical geometry (0)
Problems: 17-20 (1894) (0)
Art. 13: Plane and point duality (0)
Remarks on the Report on Geometry of the Committee of the Central Association (1907) (0)
A Class-Book of Non-Euclidean Geometry (1901) (0)
James Edward Oliver (1895) (0)
Newcomb's Philosophy of Hyper-Space (1898) (0)
SYLVESTER AND CAYLEY. (1916) (0)
THE CARNEGIE INSTITUTION. (1902) (0)
Art. 2: Projecting and cutting (0)
Art. 3: Elements at infinity (0)
International Mathematical Congress (0)
Art. 12: Center and diameter (0)
Our Symbol for Zero (1903) (0)
Art. 10: Involution (0)
The Foundations of Geometry . By B. A. W. Russell. Cambridge: The University Press. 1897. Pp. xvi + 201. (1897) (0)
Demonstration of Descartes's Theorem and Euler's Theorem (0)
HALSTED ON THE STRAIGHT. (1896) (0)
Art. 4: Correlation and duality (0)
Art. 1: The elements and primal forms (0)
Cajori’s History of Mathematics (1894) (0)
The First Award of the Lobachevski Prize (1898) (0)
Art. 6: Harmonic elements (0)
On the Foundation and Technic of Arithmetic (Continued). (0)
Synthetic Projective Geometry (Mathematical Monographs, Nº 2) (0)
SUPPLEMENTARY REPORT ON NON-EUCLIDEAN GEOMETRY. (1901) (0)
Geometry: Ancient and Modern (1901) (0)
Duncan M. Y. Sommerville (0)
Facsimile Editions of John Bolyai's Science Absolute of Space (1910) (0)
Remarks on the Report on Geometry of the Committee of the Central of the Central Association (1907) (0)
Art. 15: Cross-ratio (0)
THE LOBACHEVSKI PRIZE. (0)
The Lobatcheffsky Centenary (1893) (0)
John Henry Lambert (1895) (0)
Bolyai, Lobatchevsky, Russell. (0)
Rational Geometry, Based on Hilbert's Foundations (1905) (0)
The Length of the Circle (1902) (0)
Professor Felix Klein (1894) (0)
Even Perfect Measuring Impotent (1907) (0)
Hidalgo and Morelos the Forerunners of Mexican Independence (0)
AMERICAN GEOMETRY IN PRANCE (1913) (0)
Art. 8: Curves of the second degree (0)
Science on the Conduct of Life. (0)
Scientita Spatii Absolute Vera (1898) (0)
REPORT OF THE COMMITTEE ON “A STRAIGHT LINE IS THE SHORTEST DISTANCE OR PATH BETWEEN TWO POINTS” (1906) (0)
Non-Euclidean Geometry . A critical and historical study of its development. By Roberto Bonola. Translated by H. S. Carslaw. Chicago, The Open Court Publishing Co. 1912. (1912) (0)
Art. 9: Pole and polar (0)
International Congress of Mathematicians at Zurich in 1897 (1897) (0)
Art. 7: Projectivity (0)

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