A History of Vector Analysis: The Evolution of the Idea of a Vectorial System

Valutazione media 4,27
( su 15 valutazioni fornite da GoodReads )
 
9780486679105: A History of Vector Analysis: The Evolution of the Idea of a Vectorial System

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Crowe, Michael J.
Editore: Dover Publishers
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi Quantità: > 20
Da
INDOO
(Avenel, NJ, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486679101

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 10,22
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,25
In U.S.A.
Destinazione, tempi e costi

2.

Michael J. Crowe
Editore: Dover Publications Inc. (1994)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi Quantità: > 20
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., 1994. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486679105

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 11,09
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

3.

Michael J. Crowe
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi Paperback Quantità: 10
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. New edition. 216 x 137 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAC9780486679105

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,08
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

Michael J. Crowe
Editore: Dover Publications Inc., United States (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi Paperback Quantità: 10
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., United States, 2011. Paperback. Condizione libro: New. New edition. 216 x 137 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAC9780486679105

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,10
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Crowe, Michael J.
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi Paperback Quantità: > 20
Da
BargainBookStores
(Grand Rapids, MI, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Paperback. Condizione libro: New. Codice libro della libreria 6330716

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 11,88
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

6.

Michael J. Crowe
Editore: Dover Publications (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi Paperback Quantità: 20
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications, 2011. Paperback. Condizione libro: New. Codice libro della libreria 0486679101

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 13,74
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,78
In U.S.A.
Destinazione, tempi e costi

7.

Crowe, Michael J.
Editore: Dover Publications
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi PAPERBACK Quantità: > 20
Da
Movie Mars
(Matthews, NC, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486679101 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 15931434

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 13,73
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

8.

Crowe, Michael J.
Editore: Dover Publications
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi PAPERBACK Quantità: 1
Da
Booklot COM LLC
(Philadelphia, PA, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486679101. Codice libro della libreria Z0486679101ZN

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 19,09
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

9.

Michael J. Crowe
Editore: Dover Publications (2011)
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi Paperback Quantità: 10
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Dover Publications, 2011. Paperback. Condizione libro: New. Codice libro della libreria INGM9780486679105

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 16,73
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

10.

Michael J. Crowe
Editore: Dover Publications Inc., New York
ISBN 10: 0486679101 ISBN 13: 9780486679105
Nuovi paperback Quantità: > 20
Da
Blackwell's
(Oxford, OX, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Dover Publications Inc., New York. paperback. Condizione libro: New. Codice libro della libreria 9780486679105

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 15,47
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 5,20
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro