81. Hermann Grassmann (1809-1877) Became A Sanskrit Scholar, But In Says Hestenes hermann grassmann completed the algebraic formulation of basicideas in Greek ideas begun by Descartes. The Greek theory of ratio and http://members.fortunecity.com/jonhays/grassmann.htm

web hosting domain names photo sharing Elements was finally rewritten in arithmetic terminology by the father, to be developed by the son. Says Hestenes: "Hermann Grassmann completed the algebraic formulation of basic ideas in Greek ideas begun by Descartes. The Greek theory of ratio and proportion is now incorporated in the properties of scalar and vector multiplication. The Greek idea of projection is incorporated in the inner product. And the Greek geometrical product is expressed by outer multiplication. ....Only in ... Grassman's outer product is it possible to understand that the careful Greek distinction between number and magnitude as real geometric signigicance ... correspond[ing] roughly to the distinction between a scalar and a vector....Only in the work of Grassmann are the notions of direction, dimension, orientation and scalar magnitude finally disentangled ...impossible without the earlier vague distinction of the Greeks and perhaps without its reformulation in quasi-aruthmetic terms by his father....Grassmann was the first to define multiplication simply by specifying a set of algebraic rules." In the almost unreadable Ausdehninglehre (Calculus of Extension) , Grassmann built "a calculus of extensive magnitudes", a kind of vector algebraization of geometry , beginning with vector sum and difference . It's been said that Grassmann created many different kinds of vector products , but the notable ones are interior product (inner product), exterior product (related to outer product)

82. Contents, Volume 7 of hermann and Robert grassmann, Modern Logic 7 (1997), 131 159. and insuch of hermann grassmann s works as the Ausdehnungs-lehre is to be found http://homepages.ed.ac.uk/pmilne/ml/abs7.html

Modern Logic Contents and abstracts for Modern Logic Volume 7 (1997) Vol. 7, no. 1 Vol. 7, no. 2 Vol. 7, nos. 3/4 Modern Logic 7 /1, January 1997 Irving ANELLIS John Vincent Atanasoff - His place in the history of computer logic and technology Modern Logic A brief sketch of Atanasoof's life is followed by an examination of his work at Iowa State University in construction of the ABC [Atanasoff-Berry Computer] electronic digital computer and an assessment of his role in the development of computer logic and technology, with emphasis in particular on his historical place in the theoretical and practical aspects of modern computer technology. Atanasoff envisioned the use of binary arithmetic for computation and Boolean switching-relay circuitry for machine logic, and the use of electronic and electrical components for machine hardware. Atanasoff and his student Clifford Berry completed construction of a working prototype of their machine in 1940, but failed to secure a patent for their work. John Mauchly visited Atanasoff in 1941 and examined the ABC, and with John Prespert Eckerd built ENIAC using the same logical and engineering principles which had been used in constructing the ABC. In discussing the historical background and context of Atanasoff's work, a greater emphasis is given to the lesser known work of Russian computer pioneers than is normally found in English historical surveys. Atanasoff himself was probably not aware of the historical background within which he worked.

83. The Australian National University (ANU) Library - Hancock Precinct English; Extension theory / hermann grassmann translated by Lloyd C. Kannenberg ,grassmann, hermann, 18091877, History of mathematics v. 19 http://anulib.anu.edu.au/clusters/science/lac/mathlac/maths2000.html

Skip Navigation Search the ANU ANU Web Staff Directory Handbook Mail Archives CABS Minutes for ANU Home About the Library Help Site Map ... Division of Information Library Scholarly Information Services Library Catalogue Search all collections, incl. online material Online Resources Find databases, exam papers and more ... Science Search Library web site Catalogue (title) Catalogue (author) Catalogue (words) Reserve (course) World Wide Web for Maths Monographs - 2000 Call No. TITLE AUTHOR SERIES Financial derivatives in theory and practice / P.J. Hunt, J.E. Kennedy Hunt, P. J Wiley series in probability and statistics. Applied probability and statistics;"Wiley series in probability and statistics. Applied probability and statistics section" African Americans in mathematics II : fourth Conference for African-American Researchers in the Mathematical Sciences, June 16-19, 1998, Rice University, Houston, Texas / Nathaniel Dean, Cassandra M. McZeal, Pamela J. Williams, editors Conference for African-American Researchers in the Mathematical Sciences (4th : 1998 : Houston, Tex.)

84. Browse The Cornell Library Historical Math Monographs by grassmann, hermann Ernst. Projektive geometrie der ebene, unter benutzung derpunktrechnung (Volume 2) by grassmann, hermann Ernst http://historical.library.cornell.edu/math/title_P.html

A B C D E ... O P Q R S T ... WXYZ Titles "P" Partielle Differentialgleichungen und deren Anwendung auf physikalische Fragen by Riemann, Bernhard Philosophy And Fun Of Algebra by Boole, Mary Everest Die Potentialfunction und das Potential by Clausius, R. Précis élémentaire de la théorie des fonctions elliptiques avec tables numériques et applications by Lévy, Lucien A Presentation of the Theory of Hermite's Form of Lame's Equation by Chittenden, J. Brace A Primer Of Quaternions by Hathaway, Arthur S. Principes d'algèbre, à l'usage des écoles d'arts et métiers et des écoles professionnelles by Bobillier, Ètienne E. Principes de géométrie analytique by Darboux, Gaston Principes de la théorie des fonctions entières d'ordre infini by Blumenthal, Otto The principles of projective geometry applied to the straight line and conic by Hatton, J. L. S. Probability and theory of errors by Woodward, Robert Simpson Das Problem der magischen Systeme. by Hugel, Theodor Projective differential geometry of curves and ruled surfaces by Wilczynski, E. J. Projektive geometrie der ebene, unter benutzung der punktrechnung (Volume 1)

85. UW Libraries - Database Search Click here to see record details, Abriss des geometrischen Kalkuls nach den Werkendes Professors Dr. hermann Gunther grassmann / http://www.lib.washington.edu/resource/search/ResFull.asp?Field=keyword&ID=31211

86. UW Libraries - Database Search dr (33), ferdinand (10), geometrischen (3), geometry (133), grassmann (2),gunther (8), hermann (34), historical (636), kalkuls, kraft, library (2125), http://www.lib.washington.edu/resource/search/ResFull.asp?Field=keyword&ID=32727

87. Historia Matematica Mailing List Archive: Re: [HM] Caratheodory Concerning hermann G\ unther grassmann, it could be of special interest to D. Flament, hermann G\ unther grassmann. La science de la grandeur extensive. http://sunsite.utk.edu/math_archives/.http/hypermail/historia/mar00/0116.html

Subject: From: Dominique Flament ( flament@msh-paris.fr Date: Tue Mar 21 2000 - 03:00:18 EST Next message: John McCleary: "Re: [HM] Olbers' paradox" Previous message: Abe Shenitzer: "[HM] Opinions on Grassmann's "Ausdehnungslehre"" In reply to: Reply: Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] [Bill Everdell] > 1844. So, it had occurred to me that, given the book's "geometrization" [John Conway] Dear John, Thank you very much for your reply. have a look at : Dimension et Puissance Selon l'Ausdehnung de Grassmann", Flament, Preface de D. Flament), Librairie Scientifique et Technique Albert Blanchard, Paris, 1994. vecteurs. Editions de la Maison des Sciences de l'Homme, Paris, 1997. by Lloyd. C. Kannenberg ; Forword by Albert C. Lewis). Open Court, Chicago and La Salle, Ilinois, 1995. (BSPS), Volume 187, Kluwer Academic Publishers, Dordrecht/Boston/London,1996. Arno Zaddach, Grassmanns Algebra in der Geometrie, mit Seitenblicken auf BI-Wissenschaftsverlag, 1994. * Flament Dominique * * F2DS (Bureau 308) * * Maison des Sciences de L'Homme * * 54, bd. Raspail, 75270 Paris Paris cedex 06 *

88. Grassman hermann grassmann is chiefly remembered for his development of a general calculusfor vectors. grassmann taught at the Gymnasium in Stettin from 1831 until http://govschl.ndsu.nodak.edu/~rausch/grassman.htm

Randy Rausch Hermann Günter Grassmann Born: April 15, 1808 in Stettin, Prussia (now Szczecin, Poland) Died: Sept 26, 1877 in Stettin, Germany (now Szczecin, Poland) Hermann Grassmann is chiefly remembered for his development of a general calculus for vectors. Grassmann taught at the Gymnasium in Stettin from 1831 until his death except for two years (1834-1836) when he taught in Berlin. Grassmann's most important work is Die lineale Ausdehnundslehre, ein neuer Zweig der Mathematik (1844) developed the idea of an algebra in which the symbols representing geometric entities such as points, lines and planes, are manipulated using certain rules. He represented subspaces of a space by coordinates leading to point mapping of an algebraic manifold now called the Grassmannian. Grassmann's methods were slow to be adopted but eventually they inspired the work of Élie Cartan and have since been used in studying differential forms and their application to analysis and geometry. Grassmann wrote on many other subjects, for example electricity, color, acoustics, linguistics and botany. At the age of 53 he became disappointed with the lack of interest in his mathematical ideas so he turned to Sanskrit studies, another of his interests. His Sanskrit dictionary is still widely used. Back to Mathematicians Back to My Essays Back to RandyLand

89. 1997 Repères. Num. 26. P. 89-108. Hermann Grassmann Et La Théorie De L'extensi hermann Grassmannand the theory of extension. Editeur TOPIQUES éditions Pont à Mousson, http://publimath.univ-lyon1.fr/biblio/IWR97179.htm

Informations Pratiques recherche Recherche Auteur(s) : Dorier Jean-Luc Titre : English title : Hermann Grassmann and the theory of extension. Editeur : Notes : barycentre Bellavitis Descartes dialectique ... Recherche

90. Hermann Grassmann Université Montpellier II Translate this page hermann grassmann (1809-1877). Cette image et la biographie complète en anglaisrésident sur le site de l’université de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1209

91. [FOM] Interesting Book Evariste 15 Gauss, Carl 81 Gelfond, Aleksander 7 Godel, Kurt 18 grassmann,hermann 20 Gregory, James 23 Hadamard, Jacques 11 Hamilton, William 28 Hardy, http://www.cs.nyu.edu/pipermail/fom/2003-December/007731.html

[FOM] Interesting book Harvey Friedman friedman at math.ohio-state.edu Tue Dec 30 10:46:18 EST 2003 Previous message: [FOM] FFF Next message: [FOM] Comment on Church's Thesis Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Previous message: [FOM] FFF Next message: [FOM] Comment on Church's Thesis Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] ... More information about the FOM mailing list

92. Research Report Girschick hermann, in research foci (and basic equipmentbased research projects) grassmann Olaf, in third-party-funded projects http://www.zv.uni-wuerzburg.de/forschungsbericht/FOBE-akt/pre-G.htm

name index key word index home: research report Name index G Gabriel Andreas in research foci (and basic equipment-based research projects): - (see german version)... in third-party-funded projects: -(see german version) -(see german version) -(see german version) -(see german version) Gabriele Putz in third-party-funded projects: Behavioral genetic analysis of brain function in Drosophila Gadau Jürgen in research foci (and basic equipment-based research projects): Insect societies play a dominant role in terrestrial ecology. Their astounding evolutionary success ... The basic goal of the collaborative research centre is the investigation of the biological foundatio... in third-party-funded projects: Characterization of the symbiosis between intracellular bacteria and ants Gade Beate in third-party-funded projects: Experiments and modelling on the influence of root-induced acidifications on the mobilisation of heavy-metals in municipal waste incinerator ash Gade Lutz in third-party-funded projects: "Metal-induced Synthesis and Utilization of Axially Chiral Biaryls" within the Center Grant (Sonderforschungsbereich 347) "Selective Reactions of Metal-Activated Molecules" Gadissa Gelalcha Feyissa in research foci (and basic equipment-based research projects): Metal- and Enzyme-Catalyzed Stereoselective Reactions:In this research area, we deal with metal- and...

93. Aquí Matemàtiques: Enllaços D'interès. Història, Biografies, Obres Clàssiq Desmond FearnleySander on hermann grassmann (Idioma Anglès). Un conjunt d articlessobre l obra del matemàtic hermann grassmann per Desmond Fearnley-Sander http://www.xtec.es/recursos/mates/aqui/links/links_histbiog.htm

A Brief History of Algebra and Computing: An Eclectic Oxonian View Archimedes Biographies of Women Mathematicians Classical Works, Selecta and Opera Omnia ... The Mathematical Problems of David Hilbert Classical Works, Selecta and Opera Omnia http://www.emis.de/classics/index.html The Electronic Library of Mathematics a la web de The European Mathematical Information Service de la European Mathematical Society En aquest moment (gener del 2001) ja es poden consultar les obres de Bernhard Riemann i de Sir William Rowan Hamilton History of Mathematics http://aleph0.clarku.edu/~djoyce/mathhist/ A Brief History of Algebra and Computing: An Eclectic Oxonian View http://www.museums.reading.ac.uk/vmoc/algebra/ Jonathan Bowen , de la South Bank University Biographies of Women Mathematicians http://www.scottlan.edu/lriddle/women/women.htm Hypathia a Emmy Noether Mathematics. Ancient Science and Its Modern Fates http://www.ibiblio.org/expo/vatican.exhibit/exhibit/d-mathematics/Mathematics.html " "

94. HERMANN GRASSMANN Translate this page hermann grassmann nasceu em 1809 na cidade de Stettin, na época pertencente àPrussia, e faleceu na mesma cidade em 1877, mas já como Alemanha. http://www.ime.unicamp.br/~vaz/grassman.htm

HERMANN GRASSMANN nasceu em 1809 na cidade de Stettin, na época pertencente à Prussia, e faleceu na mesma cidade em 1877, mas já como Alemanha. Hoje essa cidade chama-se Szczecin e pertence à Polônia. A história de Grassmann é um dos melhores exemplos de "Tragédia Matemática": um obscuro professor de escola secundária em uma cidadezinha qualquer que fez uma das maiores contribuições matemáticas da história mas que de tão avançada para sua época foi praticamente ignorada pelos seus contemporâneos sendo apercebida apenas muito anos depois. Estas contribuições de Grassmann encontram-se na sua obra-prima Die Lineale Ausdehnundslehre

95. Álgebra De Grassmann Translate this page hermann Günther grassmann 1, filho de professores, nasceu em 15 de abril de1809 na cidade de Stettin (agora Szczecin, na Polônia) e faleceu em 26 de http://www.unb.br/iq/kleber/Grassmann/node2.html

Next: Up: Previous: O primeiro volume do principal trabalho de Grassmann foi apresentado em 1843, na forma manuscrita, com o nome de Die Lineale Ausdehnungslehre 1844 : Die Ausdehnungslehre, Editor Otto Wigand, Leipzig, (1844) [ Produto Interno de r-Vetores Next: Up: Previous: Kleber Mundim

96. PPT Slide hermann grassmann (18091877). Mathematician, philologist. Discoverer of “grassmann’sLaw” (dissimilation of aspiration in Greek and Sanskrit); http://trill.berkeley.edu/PhonLab/classes/ling110_2002/PowerPoint02/02-29aug/tsl

PPT Slide Hermann Grassmann (1809-1877). Mathematician, philologist. Discoverer of “Grassmann’s Law” (dissimilation of aspiration in Greek and Sanskrit); also determined the resonant frequencies of vowels using purely auditory analysis (1854; thus anticipating Helmholtz’s results by 9 years). Previous slide Next slide Back to first slide View graphic version

97. °Site Of Extensions° Algebra And Geometry © Mar-2000:2001 BF. grassmann, hermann Günter (18091877) Theory of extensions, various products,exterior product, history of mathematics - grassmann, hermann http://kaluza.physik.uni-konstanz.de/~fauser/P_history.shtml

Site of Extensions : Historic Remarks 3/3/99 BF. Start Page Cookeville 2002 Conf. Registration Pre-Registered Persons ... Konstanz, Lake Mail to BF. Debug Historic Remarks: Some chronologically ordered remarks about the relation of algebra and geometry. Quite incomplete and subjective! Jan-2001, (c) 2000 BF. Euclid of Alexandria (~325BC-~265BC) Euclid has had the most serious impact on mathematics. His collection The Elements have not only settled the state of the art in geometry for nearly two thousand years, but provided also the mere syntax of mathematics: Definition, Theorem, Proof. Euclid himself is not yet rigorous in his mathematical arguments. But his style of presenting mathematics was throughout accepted. The first sentence of Vol I (of XIII books) starts without any ado and explanation by the definition of a point: A point is what has no parts . Where after some further definition he states theorems and provides proofs. The elements of Euclid deal with plane and space geometry of ordinary three space. His arguments are given by geometric constructions and he may be seen as the founder of synthetic geometry, which is non-algebraic in its arguments and presentation. This is a great deal since algebraic restrictions to geometric settings can be avoided in this approach, what, however, Euclid did not made use of. history of mathematics -> Euclid Al-Khwarizmi, Abu Ja'far Muhammad ibn Musa (~780-~850)

98. AWVerlag  -  Dienstleistungen  -  Referenzliste  -  G World Scientific Publications ISBN 98102-2095-2 (1995) 636-666; GrassmannHermann, Neue Theorie der Elektrodynamik , Annalen der Physik und Chemie 64 http://www.info.global-scaling-verein.de/Ref/ReferenzG.htm

Zurück G Galeczki George, "The Ultimate Speed and Weber’s Potential", Physics Essays No.3 (1993) 448-450 Galeczki George, "What does the Lorentz Force Have to do with Maxwell’s Equations?", Galilean Electrodynamics No.5 (September/October 1998) 95-98 Galeczki George, "The Locally Induced Electric Field", Apeiron Gantmacher F. R. und M. G. Krein, "Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme", Akademie Verlag Berlin Garcia Laudelino, Ashok Puri and Purna C. Das, "Gauss’s theorem revisited", European Journal of Physics Gauss Carl Friedrich, "Zur mathematischen Theorie der elektrodynamischen Wirkung", Werke Göttingen Gelinas Raymond C., „Apparatus and Method for Transfer of Information by Means of a Curl-Free Magnetic Vector Potential Field", US-Patent (Anmeldung: 20 Oktober 1980; Erteilt: 14 Februar 1984) Gershteyn Mikhail L., Lev I. Gershteyn, Arkady Gershteyn and Oleg V. Karagioz, "Experimental evidence that the gravitational constant varies with orientation", http://arxiv.org/ftp/physics/papers/0202/0202058.pdf

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