Emmanuele Dibenedetto

Classical Mechanics (eBook, PDF)

Theory and Mathematical Modeling

• Format: PDF

Produktbeschreibung

Classical mechanics is one of those special intersections in science where interdisciplinary contributions come together to provide an elegant and penetrating example of "modeling". Following Lagrangrian principles, the author employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst for new concepts and discoveries, such as the d'Alembert principle, complex systems dynamics, and Hamiltonian mechanics. Today, these same dynamics are being focused to address other interdisciplinary areas of research in fields such as biology and chemistry. Offering a rigorous mathematical treatment of the subject and requiring of the reader only a solid background in introductory physics, multivariable calculus, and linear algebra, Classical Mechanics can serve as a text for advanced undergraduates and graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference for applied mathematicians and mathematical physicists.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 351
• Erscheinungstermin: 17. Oktober 2010
• Englisch
• ISBN-13: 9780817646486
• Artikelnr.: 37644428

Inhaltsangabe

Preface.- Geometry of Motion.- Constraints and Lagrangian Coordinates.- Dynamics of a Point Mass.- Geometry of Masses.- Systems Dynamics.- The Lagrange Equations.- Precessions.- Variational Principles.- Bibliography.- Index.

Rezensionen

From the reviews:

"The approach intends to be more mathematical and the choice of subjects will generally appeal more to mathematics and physics students. My overall impression is that the book is strong in its discussion of interesting applications of rigid body mechanics ... . Another strong point is the extremely rich collection of historical references in the bibliography." (Willy Sarlet, SIAM Review, Vol. 54 (3), 2012)

"This work is a beautifully crafted overview of the foundations of classical mechanics ... . The text covers the classical topics ... and is couched in the language of vector calculus and linear algebra, making it accessible to graduate students in applied mathematics and physics. ... A remarkable feature of this book is the extensive bibliography, covering five centuries of mechanics ... . the experienced researcher in mechanics will find something new to enjoy in this book." (Joris Vankerschaver, Mathematical Reviews, Issue 2012 e)

"This volume is based on lectures given by the author on rational mechanics at the University of Rome over a period of more than a decade. The author has developed an approach to the subject that has a distinct flavor and a style of its own. ... target audience includes mathematics, physics and engineering students at advanced undergraduate or beginning graduate level. Each chapter has a 'Problems and Complements' section that includes exercises and additional exposition related to the contents of that chapter." (William J. Satzer, The Mathematical Association of America, April, 2011)

From the book reviews:

"This textbook is the outcome of the author's extensive teaching at the School of Engineering of the University of Rome. It presents the foundations of classical mechanics-from Newton's laws to Hamilton-Jacobi theory and calculus of variations-using solely the language of vector calculus and linear algebra, however, without sacrificing mathematical rigor. This approach together with the careful and pedagogical nature of the text makes the book, in particular, accessible to students of the applied sciences." (R. Steinbauer, Monatshefte für Mathematik, Vol. 174, 2014)

"The approach intends to be more mathematical and the choice of subjects will generally appeal more to mathematics and physics students. My overall impression is that the book is strong in its discussion of interesting applications of rigid body mechanics ... . Another strong point is the extremely rich collection of historical references in the bibliography." (Willy Sarlet, SIAM Review, Vol. 54 (3), 2012)

"This work is a beautifully crafted overview of the foundations of classical mechanics ... . The text covers the classical topics ... and is couched in the language of vector calculus and linear algebra, making it accessible to graduate students in applied mathematics and physics. ... A remarkable feature of this book is the extensive bibliography, covering five centuries of mechanics ... . the experienced researcher in mechanics will find something new to enjoy in this book." (Joris Vankerschaver, Mathematical Reviews, Issue 2012 e)

"This volume is based on lectures given by the author on rational mechanics at the University of Rome over a period of more than a decade. The author has developed an approach to the subject that has a distinct flavor and a style of its own. ... target audience includes mathematics, physicsand engineering students at advanced undergraduate or beginning graduate level. Each chapter has a 'Problems and Complements' section that includes exercises and additional exposition related to the contents of that chapter." (William J. Satzer, The Mathematical Association of America, April, 2011)