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Classical mechanics is a chief example of the scientific method organizing a "complex" collection of information into theoretically rigorous, unifying principles; in this sense, mechanics represents one of the highest forms of mathematical modeling. This textbook covers standard topics of a mechanics course, namely, the mechanics of rigid bodies, Lagrangian and Hamiltonian formalism, stability and small oscillations, an introduction to celestial mechanics, and Hamilton–Jacobi theory, but at the same time features unique examples—such as the spinning top including friction and gyroscopic compass—seldom appearing in this context. In addition, variational principles like Lagrangian and Hamiltonian dynamics are treated in great detail.

Using a pedagogical approach, the author covers many topics that are gradually developed and motivated by classical examples. Through `Problems and Complements' sections at the end of each chapter, the work presents various questions in an extended presentation that is extremely useful for an interdisciplinary audience trying to master the subject. Beautiful illustrations, unique examples, and useful remarks are key features throughout the text.*Classical Mechanics: Theory and Mathematical Modeling *may serve as a textbook for advanced graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference or self-study guide for applied mathematicians and mathematical physicists. Prerequisites include a working knowledge of linear algebra, multivariate calculus, the basic theory of ordinary differential equations, and elementary physics.

- Series:
**Cornerstones** - Author:
**Emmanuele DiBenedetto (auth.)** - Year:
**2011** - Publisher:
**BirkhĂ¤user Basel** - Language:
**English** - ISBN:
**0817645268,9780817645267**

- File size:
**2 913 421** - Format:
**pdf**

Security code:

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes ph...

Providing a comprehensive grounding in the subject of turbulence, Statistical Theory and Modeling for Turbulent Flows develops both the physical insight and the mathematical framework needed to understand turbulent flow. Its scope enables the reader to be...

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Visual perception refers to the ability of understanding the visual information that is provided by the environment. Such a mechanism integrates several human abilities and was studied by many researchers with different scientific origins including philos...

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A unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral t...

This textbook takes an innovative approach to the teaching of classical mechanics, emphasizing the development of general but practical intellectual tools to support the analysis of nonlinear Hamiltonian systems. The development is organized around a prog...

Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear Dynamics This second edition of Baumann's Mathematica(r) in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while ...

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This book constitutes the thoroughly refereed post-workshop proceedings of the 9th International Workshop on Mining Web Data, WEBKDD 2007, and the 1st International Workshop on Social Network Analysis, SNA-KDD 2007, jointly held in St. Jose, CA, USA in Au...

Computational Intelligence (CI) has emerged as a rapid growing field over the past decade. Its various techniques have been recognized as powerful tools for intelligent information processing, decision making and knowledge management. ''Advances of Compu...

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We are pleased to present the proceedings of the 2003 Atlantic Web Intelligence C- ference, AWIC 2003. The conference was located in Madrid, Spain during May 5â€“6, 2003, organized locally by the Technical University of Madrid. AWIC 2003 aimed to be the rst...

It is with great pleasure that we present the proceedings of the 6th Inter- tional, Symposium on Visual Computing (ISVC 2010), which was held in Las Vegas, Nevada. ISVC provides a common umbrella for the four main areas of visual computing including visio...

The two volume set LNCS 7431 and 7432 constitutes the refereed proceedings of the 8th International Symposium on Visual Computing, ISVC 2012, held in Rethymnon, Crete, Greece, in July 2012. The 68 revised full papers and 35 poster papers presented togethe...

The size of wind turbine blades has gotten larger over time, in order to achieve the highest efficiency energy conversion possible. Â At the same time, to increase the penetration and utilization of sustainable wind power, the use of natural and bio-based...

The title of this book is a pun on the use of the preposition â€śontoâ€ť with the aim of recalling â€śOntologyâ€ť, the term commonly adopted in the computer science community to indicate the study of the formal specification for organizing knowledge.In the field ...

'This guide is a valuable foundation for building partnerships between councils and the construction industry. With its detailed look at Best Value in the built environment, I am sure this guide will be of great use to practitioners in the field. Used in ...