Classical Mechanics with Mathematica®

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematics, Geometry
Cover of the book Classical Mechanics with Mathematica® by Antonio Romano, Birkhäuser Boston
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Antonio Romano ISBN: 9780817683528
Publisher: Birkhäuser Boston Publication: September 26, 2012
Imprint: Birkhäuser Language: English
Author: Antonio Romano
ISBN: 9780817683528
Publisher: Birkhäuser Boston
Publication: September 26, 2012
Imprint: Birkhäuser
Language: English

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.​ Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica​.

The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others.

Unique in its scope of coverage and method of approach, Classical Mechanics will be a very useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.  

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.​ Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica​.

The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others.

Unique in its scope of coverage and method of approach, Classical Mechanics will be a very useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.  

More books from Birkhäuser Boston

Cover of the book Nitric Oxide and the Regulation of the Peripheral Circulation by Antonio Romano
Cover of the book Nitric Oxide and Free Radicals in Peripheral Neurotransmission by Antonio Romano
Cover of the book Discover Your VIC-20 by Antonio Romano
Cover of the book Peptides by Antonio Romano
Cover of the book Nonlinear Partial Differential Equations for Scientists and Engineers by Antonio Romano
Cover of the book Internal and External Stabilization of Linear Systems with Constraints by Antonio Romano
Cover of the book Optimization, Control, and Applications of Stochastic Systems by Antonio Romano
Cover of the book Formation of the Heart and its Regulation by Antonio Romano
Cover of the book Multiple Dirichlet Series, L-functions and Automorphic Forms by Antonio Romano
Cover of the book Scientific Issues in Quantitative Cancer Risk Assessment by Antonio Romano
Cover of the book The Robust Maximum Principle by Antonio Romano
Cover of the book Excursions in Harmonic Analysis, Volume 1 by Antonio Romano
Cover of the book Differentiable Manifolds by Antonio Romano
Cover of the book Lectures on Constructive Approximation by Antonio Romano
Cover of the book An Introduction to Continuous-Time Stochastic Processes by Antonio Romano
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy