History of Vector Analysis

The Evolution of the Idea of a Vectorial System

AvMichael J. Crowe

Häftad, Engelska, 2003

Del i serien Dover Books on Mathema 1.4tics

228 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:2003-03-28
Mått:140 x 220 x 30 mm
Vikt:310 g
Format:Häftad
Språk:Engelska
Serie:Dover Books on Mathema 1.4tics
Antal sidor:304
Förlag:Dover Publications Inc.
ISBN:9780486679105

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

Chapter One THE EARLIEST TRADITIONSI. IntroductionII. The Concept of the Parallelogram of Velocities and ForcesIII. Leibniz' Concept of a Geometry of SituationIV. The Concept of the Geometrical Representation of Complex NumbersV. Summary and ConclusionNotesChapter Two SIR WILLIAM ROWAN HAMILTON AND QUATERNIONSI. Introduction: Hamiltonian HistoriographyII. Hamilton's Life and FameIII. Hamilton and Complex NumbersIV. Hamilton's Discovery of QuaternionsV. Quaternions until Hamilton's Death (1865)VI. Summary and ConclusionNotes"Chapter Three OTHER EARLY VECTORIAL SYSTEMS, ESPECIALLY GRASSMANN'S THEORY OF EXTENSION"I. IntroductionII. August Ferdinand Möbius and His Barycentric CalculusIII. Giusto Bellavitis and His Calculus of EquipollencesIV. Hermann Grassmann and His Calculus of Extension: IntroductionV. Grassmann's Theorie der Ebbe und FlutVI. Grassmann's Ausdehnungslehre of 1844VII. The Period from 1844 to 1862VIII. "Grassmann's Ausdehnungslehre of 1862 and the Gradual, Limited Acceptance of His Work"IX. Matthew O'Brien NotesChapter Four TRADITIONS IN VECTORIAL ANALYSIS FROM THE MIDDLE PERIOD OF ITS HISTORYI. IntroductionII. Interest in Vectorial Analysis in Various Countries from 1841 to 1900III. Peter Guthrie Tait: Advocate and Developer of QuaternionsIV. Benjamin Peirce: Advocate of Quaternions in AmericaV. James Clerk Maxwell: Critic of QuaternionsVI. William Kingdom Clifford: Transition Figure NotesChapter Five GIBBS AND HEAVISIDE AND THE DEVELOPMENT OF THE MODERN SYSTEM OF VECTOR ANALYSISI. IntroductionII. Josiah Willard GibbsIII. Gibbs' Early Work in Vector AnalysisIV. Gibbs' Elements of Vector AnalysisV. Gibbs' Other Work Pertaining to Vector AnalysisVI. Oliver HeavisideVII. Heaviside's Electrical PapersVIII. Heaviside's Electromagnetic TheoryIX. The Reception Given to Heaviside's WritingsConclusionNotesChapter Six A STRUGGLE FOR EXISTENCE IN THE 1890'SI. IntroductionII. "The "Struggle for Existence"III. ConclusionsNotesCHAPTER SEVEN THE EMERGENCE OF THE MODERN SYSTEM OF VECTOR ANALYSIS: 1894-1910I. IntroductionII. Twelve Major Publications in Vector Analysis from 1894 to 1910III. Summary and ConclusionNotesChapter Eight SUMMARY AND CONCLUSIONSNotesIndex

Mer från samma författare

Mechanics from Aristotle to Einstein

Michael J. Crowe

Häftad, 2007

160 kr

Gestalt Shift in Conan Doyle's Sherlock Holmes Stories

Michael J. Crowe

Häftad, 2018

693 kr

Gestalt Shift in Conan Doyle's Sherlock Holmes Stories

Michael J. Crowe

Inbunden, 2018

969 kr

Gestalt Shift in Conan Doyle's Sherlock Holmes Stories

Michael J. Crowe

E-bok

2018

873 kr

Mer från samma serie

Calculus

Morris Kline

Häftad, 2003

(1)

410 kr

Ordinary Differential Equations

Morris Tenenbaum, Harry Pollard

Häftad, 2003

(1)

398 kr

Introduction to Topology

T. W. Gamelin, Robert Everist Greene

Häftad, 2003

169 kr

College Geometry

Nathan Altshiller-Court

Häftad, 2007

(1)

233 kr

Introduction to Knot Theory

Richard H Crowell

Häftad, 2008

208 kr

Geometry of Complex Numbers

Hans Schwerdtfeger

Häftad, 2003

225 kr

Euclidean Geometry and Transformations

Clayton W. Dodge

Häftad, 2004

251 kr

Geometry

Dan Pedoe

Häftad, 2003

290 kr

Principles of Topology

Fred H. Croom

Häftad, 2016

218 kr

Special Functions for Scientists and Engineers

W. Bell

Häftad, 2004

225 kr

Du kanske också är intresserad av

Vector

Robyn Arianrhod

Inbunden, 2024

292 kr

Mathematics, Magic and Mystery

Martin Gardner

Häftad, 2003

106 kr

Gestalt Shift in Conan Doyle's Sherlock Holmes Stories

Michael J. Crowe

E-bok

2018

873 kr

Mechanics from Aristotle to Einstein

Michael J. Crowe

Häftad, 2007

160 kr

Gestalt Shift in Conan Doyle's Sherlock Holmes Stories

Michael J. Crowe

Häftad, 2018

693 kr

Gestalt Shift in Conan Doyle's Sherlock Holmes Stories

Michael J. Crowe

Inbunden, 2018

969 kr

Skriva D : genrepedagogik för sfi

Helena Bogren, Susanne Södergren

Häftad, 2015

(4)

228 kr

Introduction to Topology

T. W. Gamelin, Robert Everist Greene

Häftad, 2003

169 kr

Proofs and Refutations

Imre Lakatos, John Worrall, Elie Zahar

Häftad, 2015

328 kr

The Concise Oxford Dictionary of Mathematics

Richard Earl, James Nicholson

Häftad, 2021

163 kr

History of Vector Analysis

The Evolution of the Idea of a Vectorial System

AvMichael J. Crowe

Häftad, Engelska, 2003

Del i serien Dover Books on Mathema 1.4tics

228 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2003-03-28
Mått:140 x 220 x 30 mm
Vikt:310 g
Format:Häftad
Språk:Engelska
Serie:Dover Books on Mathema 1.4tics
Antal sidor:304
Förlag:Dover Publications Inc.
ISBN:9780486679105

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

Chapter One THE EARLIEST TRADITIONSI. IntroductionII. The Concept of the Parallelogram of Velocities and ForcesIII. Leibniz' Concept of a Geometry of SituationIV. The Concept of the Geometrical Representation of Complex NumbersV. Summary and ConclusionNotesChapter Two SIR WILLIAM ROWAN HAMILTON AND QUATERNIONSI. Introduction: Hamiltonian HistoriographyII. Hamilton's Life and FameIII. Hamilton and Complex NumbersIV. Hamilton's Discovery of QuaternionsV. Quaternions until Hamilton's Death (1865)VI. Summary and ConclusionNotes"Chapter Three OTHER EARLY VECTORIAL SYSTEMS, ESPECIALLY GRASSMANN'S THEORY OF EXTENSION"I. IntroductionII. August Ferdinand Möbius and His Barycentric CalculusIII. Giusto Bellavitis and His Calculus of EquipollencesIV. Hermann Grassmann and His Calculus of Extension: IntroductionV. Grassmann's Theorie der Ebbe und FlutVI. Grassmann's Ausdehnungslehre of 1844VII. The Period from 1844 to 1862VIII. "Grassmann's Ausdehnungslehre of 1862 and the Gradual, Limited Acceptance of His Work"IX. Matthew O'Brien NotesChapter Four TRADITIONS IN VECTORIAL ANALYSIS FROM THE MIDDLE PERIOD OF ITS HISTORYI. IntroductionII. Interest in Vectorial Analysis in Various Countries from 1841 to 1900III. Peter Guthrie Tait: Advocate and Developer of QuaternionsIV. Benjamin Peirce: Advocate of Quaternions in AmericaV. James Clerk Maxwell: Critic of QuaternionsVI. William Kingdom Clifford: Transition Figure NotesChapter Five GIBBS AND HEAVISIDE AND THE DEVELOPMENT OF THE MODERN SYSTEM OF VECTOR ANALYSISI. IntroductionII. Josiah Willard GibbsIII. Gibbs' Early Work in Vector AnalysisIV. Gibbs' Elements of Vector AnalysisV. Gibbs' Other Work Pertaining to Vector AnalysisVI. Oliver HeavisideVII. Heaviside's Electrical PapersVIII. Heaviside's Electromagnetic TheoryIX. The Reception Given to Heaviside's WritingsConclusionNotesChapter Six A STRUGGLE FOR EXISTENCE IN THE 1890'SI. IntroductionII. "The "Struggle for Existence"III. ConclusionsNotesCHAPTER SEVEN THE EMERGENCE OF THE MODERN SYSTEM OF VECTOR ANALYSIS: 1894-1910I. IntroductionII. Twelve Major Publications in Vector Analysis from 1894 to 1910III. Summary and ConclusionNotesChapter Eight SUMMARY AND CONCLUSIONSNotesIndex