Analytical Mechanics (Boston Studies in the Philosophy and History of Science)

4.5 avg rating
( 2 ratings by Goodreads )
 
9780792343493: Analytical Mechanics (Boston Studies in the Philosophy and History of Science)
View all copies of this ISBN edition:
 
 

to the English translation of Lagrange's Mecanique Analytique Lagrange's Mecanique Analytique appeared early in 1788 almost exactly one cen­ tury after the publication of Newton's Principia Mathematica. It marked the culmination of a line of research devoted to recasting Newton's synthetic, geomet­ ric methods in the analytic style of the Leibnizian calculus. Its sources extended well beyond the physics of central forces set forth in the Principia. Continental au­ thors such as Jakob Bernoulli, Daniel Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d'Alembert had developed new concepts and methods to investigate problems in constrained interaction, fluid flow, elasticity, strength of materials and the operation of machines. The Mecanique Analytique was a remarkable work of compilation that became a fundamental reference for subsequent research in exact science. During the eighteenth century there was a considerable emphasis on extending the domain of analysis and algorithmic calculation, on reducing the dependence of advanced mathematics on geometrical intuition and diagrammatic aids. The analytical style that characterizes the Mecanique Analytique was evident in La­ grange's original derivation in 1755 of the 8-algorithm in the calculus of variations. It was expressed in his consistent attempts during the 1770s to prove theorems of mathematics and mechanics that had previously been obtained synthetically. The scope and distinctiveness of his 1788 treatise are evident if one compares it with an earlier work of similar outlook, Euler's Mechanica sive Motus Scientia Analyt­ 1 ice Exposita of 1736.

"synopsis" may belong to another edition of this title.

From the Back Cover:

J. L. Lagrange is a name well known to students in all branches of mathematics and applied mathematics. But by far his most famous work deals with mechanics - the Mecanique Analytique. In this work, he used the Principle of Virtual Work as the foundation for all of mechanics and thereby brought together statics, hydrostatics, dynamics and hydrodynamics. His approach differed significantly from the mechanics of Newton and the physical approach to mechanics of Laplace and Poisson. The difference is due primarily to the introduction by Lagrange of a fictitious constraint force. The purpose of the constraint force is to enforce an algebraic relation between the coordinates of the parts of a continuous body or between various bodies. Moreover, the physical origin of this force does not have to be known. From this point, Lagrange utilizes the methodology of the Calculus of Variations - a methodology which he himself developed - to vary the configuration of a system in statics or the path of a system in dynamics in order to obtain the governing differential equations. Audience: Historians of science, mathematicians, physicists and engineers, and scholars specializing in classical mechanics, celestial mechanics, mathematics of mechanics and mechanics in general.

Language Notes:

Text: English (translation)
Original Language: French

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9789048147793: Analytical Mechanics (Boston Studies in the Philosophy and History of Science)

Featured Edition

ISBN 10:  9048147794 ISBN 13:  9789048147793
Publisher: Springer, 2010
Softcover

Top Search Results from the AbeBooks Marketplace

1.

Joseph Louis Lagrange
Published by Springer, Netherlands (1997)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Springer, Netherlands, 1997. Hardback. Condition: New. 1997 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. to the English translation of Lagrange s Mecanique Analytique Lagrange s Mecanique Analytique appeared early in 1788 almost exactly one cen- tury after the publication of Newton s Principia Mathematica. It marked the culmination of a line of research devoted to recasting Newton s synthetic, geomet- ric methods in the analytic style of the Leibnizian calculus. Its sources extended well beyond the physics of central forces set forth in the Principia. Continental au- thors such as Jakob Bernoulli, Daniel Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d Alembert had developed new concepts and methods to investigate problems in constrained interaction, fluid flow, elasticity, strength of materials and the operation of machines. The Mecanique Analytique was a remarkable work of compilation that became a fundamental reference for subsequent research in exact science. During the eighteenth century there was a considerable emphasis on extending the domain of analysis and algorithmic calculation, on reducing the dependence of advanced mathematics on geometrical intuition and diagrammatic aids. The analytical style that characterizes the Mecanique Analytique was evident in La- grange s original derivation in 1755 of the 8-algorithm in the calculus of variations. It was expressed in his consistent attempts during the 1770s to prove theorems of mathematics and mechanics that had previously been obtained synthetically. The scope and distinctiveness of his 1788 treatise are evident if one compares it with an earlier work of similar outlook, Euler s Mechanica sive Motus Scientia Analyt- 1 ice Exposita of 1736. Seller Inventory # LIE9780792343493

More information about this seller | Contact this seller

Buy New
US$ 356.70
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

2.

Lagrange, J. L.
Published by Kluwer Academic Publishers (1996)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Kluwer Academic Publishers, 1996. HRD. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780792343493

More information about this seller | Contact this seller

Buy New
US$ 352.84
Convert Currency

Add to Basket

Shipping: US$ 12.10
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

Lagrange, J.L.; Boissonnade, A. [Translator]; Vagliente, V.N. [Translator];
Published by Springer (1996)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 10
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 1996. Hardcover. Condition: New. Seller Inventory # INGM9780792343493

More information about this seller | Contact this seller

Buy New
US$ 370.29
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds

4.

Lagrange, J. L.
Published by Kluwer Academic Publishers (1996)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Kluwer Academic Publishers, 1996. HRD. Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # IQ-9780792343493

More information about this seller | Contact this seller

Buy New
US$ 376.34
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

5.

Joseph Louis Lagrange
Published by Springer, Netherlands (1997)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 10
Print on Demand
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Springer, Netherlands, 1997. Hardback. Condition: New. 1997 ed.. Language: English . Brand New Book ***** Print on Demand *****. to the English translation of Lagrange s Mecanique Analytique Lagrange s Mecanique Analytique appeared early in 1788 almost exactly one cen- tury after the publication of Newton s Principia Mathematica. It marked the culmination of a line of research devoted to recasting Newton s synthetic, geomet- ric methods in the analytic style of the Leibnizian calculus. Its sources extended well beyond the physics of central forces set forth in the Principia. Continental au- thors such as Jakob Bernoulli, Daniel Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d Alembert had developed new concepts and methods to investigate problems in constrained interaction, fluid flow, elasticity, strength of materials and the operation of machines. The Mecanique Analytique was a remarkable work of compilation that became a fundamental reference for subsequent research in exact science. During the eighteenth century there was a considerable emphasis on extending the domain of analysis and algorithmic calculation, on reducing the dependence of advanced mathematics on geometrical intuition and diagrammatic aids. The analytical style that characterizes the Mecanique Analytique was evident in La- grange s original derivation in 1755 of the 8-algorithm in the calculus of variations. It was expressed in his consistent attempts during the 1770s to prove theorems of mathematics and mechanics that had previously been obtained synthetically. The scope and distinctiveness of his 1788 treatise are evident if one compares it with an earlier work of similar outlook, Euler s Mechanica sive Motus Scientia Analyt- 1 ice Exposita of 1736. Seller Inventory # APC9780792343493

More information about this seller | Contact this seller

Buy New
US$ 383.71
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

J.L. LAGRANGE
Published by Springer (1996)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 1996. Hardback. Condition: NEW. 9780792343493 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Seller Inventory # HTANDREE0280828

More information about this seller | Contact this seller

Buy New
US$ 380.70
Convert Currency

Add to Basket

Shipping: US$ 10.75
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Joseph Louis Lagrange
Published by Springer, Netherlands (1997)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 10
Print on Demand
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer, Netherlands, 1997. Hardback. Condition: New. 1997 ed.. Language: English . Brand New Book ***** Print on Demand *****.to the English translation of Lagrange s Mecanique Analytique Lagrange s Mecanique Analytique appeared early in 1788 almost exactly one cen- tury after the publication of Newton s Principia Mathematica. It marked the culmination of a line of research devoted to recasting Newton s synthetic, geomet- ric methods in the analytic style of the Leibnizian calculus. Its sources extended well beyond the physics of central forces set forth in the Principia. Continental au- thors such as Jakob Bernoulli, Daniel Bernoulli, Leonhard Euler, Alexis Clairaut and Jean d Alembert had developed new concepts and methods to investigate problems in constrained interaction, fluid flow, elasticity, strength of materials and the operation of machines. The Mecanique Analytique was a remarkable work of compilation that became a fundamental reference for subsequent research in exact science. During the eighteenth century there was a considerable emphasis on extending the domain of analysis and algorithmic calculation, on reducing the dependence of advanced mathematics on geometrical intuition and diagrammatic aids. The analytical style that characterizes the Mecanique Analytique was evident in La- grange s original derivation in 1755 of the 8-algorithm in the calculus of variations. It was expressed in his consistent attempts during the 1770s to prove theorems of mathematics and mechanics that had previously been obtained synthetically. The scope and distinctiveness of his 1788 treatise are evident if one compares it with an earlier work of similar outlook, Euler s Mechanica sive Motus Scientia Analyt- 1 ice Exposita of 1736. Seller Inventory # APC9780792343493

More information about this seller | Contact this seller

Buy New
US$ 394.48
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Lagrange, J.L.
Published by Springer (2018)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 13
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2018. Hardcover. Condition: New. Never used! This item is printed on demand. Seller Inventory # 0792343492

More information about this seller | Contact this seller

Buy New
US$ 397.25
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

9.

Joseph Louis Lagrange; Lagrange; J. L. Lagrange
Published by Springer (1996)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 15
Print on Demand
Seller:
Rating
[?]

Book Description Springer, 1996. Condition: New. This item is printed on demand for shipment within 3 working days. Seller Inventory # LP9780792343493

More information about this seller | Contact this seller

Buy New
US$ 397.29
Convert Currency

Add to Basket

Shipping: US$ 3.52
From Germany to U.S.A.
Destination, Rates & Speeds

10.

J.L. Lagrange
Published by Springer (1996)
ISBN 10: 0792343492 ISBN 13: 9780792343493
New Hardcover Quantity Available: 1
Seller:
Irish Booksellers
(Portland, ME, U.S.A.)
Rating
[?]

Book Description Springer, 1996. Condition: New. book. Seller Inventory # M0792343492

More information about this seller | Contact this seller

Buy New
US$ 478.96
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book