Photo 1/2
Galerie
Photo 1/2
Vous en avez un à vendre ?
A History of Vector Analysis : The E..., Crowe, Michael
10,39 USD
Environ8,94 EUR
État :
Bon état
Livre ayant déjà été lu, mais qui est toujours en bon état. La couverture présente des dommages mineurs, comme des éraflures, mais n'est ni trouée ni déchirée. Pour les couvertures rigides, la jaquette n'est pas nécessairement incluse. La reliure présente des marques d'usure mineures. La majorité des pages sont intactes. Pliures et déchirures mineures. Soulignement de texte mineur au crayon. Aucun surlignement de texte. Aucune note dans les marges. Aucune page manquante. Consulter l'annonce du vendeur pour avoir plus de détails et voir la description des défauts.
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
Livraison :
Gratuit USPS Media MailTM.
Lieu où se trouve l'objet : Montgomery Illinois, États-Unis
Délai de livraison :
Estimé entre le mer. 23 juil. et le sam. 26 juil. à 94104
Retours :
Retour sous 30 jours. Le vendeur paie les frais de retour.
Paiements :
Achetez en toute confiance
Le vendeur assume l'entière responsabilité de cette annonce.
Numéro de l'objet eBay :355736366972
Dernière mise à jour le 14 juin 2025 20:45:48 CEST. Afficher toutes les modificationsAfficher toutes les modifications
Caractéristiques de l'objet
- État
- Book Title
- A History of Vector Analysis: The Evolution of the Idea of a V...
- ISBN
- 0486679101
- EAN
- 9780486679105
- Release Title
- A History of Vector Analysis: The Evolution of the Idea of a V...
- Artist
- Crowe, Michael J.
- Brand
- N/A
- Colour
- N/A
À propos de ce produit
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486679101
ISBN-13
9780486679105
eBay Product ID (ePID)
317272
Product Key Features
Number of Pages
304 Pages
Language
English
Publication Name
History of Vector Analysis : the Evolution of the Idea of a Vectorial System
Publication Year
2011
Subject
History & Philosophy, Vector Analysis
Features
Reprint
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
12.5 Oz
Item Length
8.5 in
Item Width
5.5 in
Additional Product Features
Intended Audience
College Audience
LCCN
93-006116
TitleLeading
A
Dewey Edition
20
Illustrated
Yes
Dewey Decimal
516/.83
Table Of Content
Chapter One THE EARLIEST TRADITIONS I. Introduction II. The Concept of the Parallelogram of Velocities and Forces III. Leibniz' Concept of a Geometry of Situation IV. The Concept of the Geometrical Representation of Complex Numbers V. Summary and Conclusion Notes Chapter Two SIR WILLIAM ROWAN HAMILTON AND QUATERNIONS I. Introduction: Hamiltonian Historiography II. Hamilton's Life and Fame III. Hamilton and Complex Numbers IV. Hamilton's Discovery of Quaternions V. Quaternions until Hamilton's Death (1865) VI. Summary and Conclusion Notes "Chapter Three OTHER EARLY VECTORIAL SYSTEMS, ESPECIALLY GRASSMANN'S THEORY OF EXTENSION" I. Introduction II. August Ferdinand Möbius and His Barycentric Calculus III. Giusto Bellavitis and His Calculus of Equipollences IV. Hermann Grassmann and His Calculus of Extension: Introduction V. Grassmann's Theorie der Ebbe und Flut VI. Grassmann's Ausdehnungslehre of 1844 VII. The Period from 1844 to 1862 VIII. "Grassmann's Ausdehnungslehre of 1862 and the Gradual, Limited Acceptance of His Work" IX. Matthew O'Brien Notes Chapter Four TRADITIONS IN VECTORIAL ANALYSIS FROM THE MIDDLE PERIOD OF ITS HISTORY I. Introduction II. Interest in Vectorial Analysis in Various Countries from 1841 to 1900 III. Peter Guthrie Tait: Advocate and Developer of Quaternions IV. Benjamin Peirce: Advocate of Quaternions in America V. James Clerk Maxwell: Critic of Quaternions VI. William Kingdom Clifford: Transition Figure Notes Chapter Five GIBBS AND HEAVISIDE AND THE DEVELOPMENT OF THE MODERN SYSTEM OF VECTOR ANALYSIS I. Introduction II. Josiah Willard Gibbs III. Gibbs' Early Work in Vector Analysis IV. Gibbs' Elements of Vector Analysis V. Gibbs' Other Work Pertaining to Vector Analysis VI. Oliver Heaviside VII. Heaviside's Electrical Papers VIII. Heaviside's Electromagnetic Theory IX. The Reception Given to Heaviside's Writings Conclusion Notes Chapter Six A STRUGGLE FOR EXISTENCE IN THE 1890'S I. Introduction II. "The "Struggle for Existence" III. Conclusions Notes CHAPTER SEVEN THE EMERGENCE OF THE MODERN SYSTEM OF VECTOR ANALYSIS: 1894-1910 I. Introduction II. Twelve Major Publications in Vector Analysis from 1894 to 1910 III. Summary and Conclusion Notes Chapter Eight SUMMARY AND CONCLUSIONS Notes Index
Edition Description
Reprint
Synopsis
This prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Concentrates on vector addition and subtraction, the forms of vector multiplication, and more., On October 16, 1843, Sir William Rowan Hamilton discovered quaternions and, on the very same day, presented his breakthrough to the Royal Irish Academy. Meanwhile, in a less dramatic style, a German high school teacher, Hermann Grassmann, was developing another vectorial system involving hypercomplex numbers comparable to quaternions. The creations of these two mathematicians led to other vectorial systems, most notably the system of vector analysis formulated by Josiah Willard Gibbs and Oliver Heaviside and now almost universally employed in mathematics, physics and engineering. Yet the Gibbs-Heaviside system won acceptance only after decades of debate and controversy in the latter half of the nineteenth century concerning which of the competing systems offered the greatest advantages for mathematical pedagogy and practice. This volume, the first large-scale study of the development of vectorial systems, traces he rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Professor Michael J. Crowe (University of Notre Dame) discusses each major vectorial system as well as the motivations that led to their creation, development, and acceptance or rejection. The vectorial approach revolutionized mathematical methods and teaching in algebra, geometry, and physical science. As Professor Crowe explains, in these areas traditional Cartesian methods were replaced by vectorial approaches. He also presents the history of ideas of vector addition, subtraction, multiplication, division (in those systems where it occurs) and differentiation. His book also contains refreshing portraits of the personalities involved in the competition among the various systems. Teachers, students, and practitioners of mathematics, physics, and engineering as well as anyone interested in the history of scientific ideas will find this volume to be well written, solidly argued, and excellently documented. Reviewers have described it a s "a fascinating volume," "an engaging and penetrating historical study" and "an outstanding book (that) will doubtless long remain the standard work on the subject." In 1992 it won an award for excellence from the Jean Scott Foundation of France., Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.
LC Classification Number
QA433.C76 1994
Description de l'objet fournie par le vendeur
Informations sur le vendeur professionnel
À propos de ce vendeur
worldofbooksinc
97,6% d'évaluations positives•1,2 millions objets vendus
Inscrit comme vendeur professionnel
Évaluations du vendeur (269.814)
- r***y (1596)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéSame as everyone else, they took payment, never received, refunded, no explanation. Fukkery
- 2***n (306)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéQuality condition value and appearance were fantastic
- r***n (35)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéAll praise for the seller. The book is in excellent condition. And it arrived well before the estimated time.
worldofbooksinc
97,6% d'évaluations positives•1,2 millions objets vendus
Inscrit comme vendeur professionnel
Évaluations du vendeur (269.814)
- r***y (1596)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéSame as everyone else, they took payment, never received, refunded, no explanation. Fukkery
- 2***n (306)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéQuality condition value and appearance were fantastic
- r***n (35)- Évaluations laissées par l'acheteur.Dernier moisAchat vérifiéAll praise for the seller. The book is in excellent condition. And it arrived well before the estimated time.