Florian A. Scheck's Books

Mechanics

From Newton’s Laws to Deterministic Chaos

By: Florian A. Scheck

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Mechanics

From Newton’s Laws to Deterministic Chaos

By: Florian A. Scheck

A course in mechanics is of primary importance in any physics teaching program. Scheck's book integrates the various aspects of classical mechanics, relativistic mechanics, and modern topics such as deterministic chaos. Both the physical approach to mechanics and its mathematical foundations are emphasised. With elementary Newtonian mechanics as a starting point, the principles of canonical mechanics in Hamiltonian and Lagrangian formulations are outlined. Rigid bodies are treated in detail, and the basic concepts of special relativity are given. Particular emphasis is put on the geometrical aspects of mechanics, such as geometrical objects on manifolds. A chapter on stability and chaos concludes the book, introducing topics such as the long-time behavior of dynamical flows, deterministic chaos, and chaotic motion in celestial mechanics.

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Page Count

439

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Springer Science & Business Media

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ISBN 10

3662026309

ISBN 13

9783662026304

Mechanics

From Newton's Laws to Deterministic Chaos

By: Florian Scheck

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Mechanics

From Newton's Laws to Deterministic Chaos

By: Florian Scheck

This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems and deterministic chaos in due detail. As compared to the previous editions the present 6th edition is updated and revised with more explanations, additional examples and problems with solutions, together with new sections on applications in science. Symmetries and invariance principles, the basic geometric aspects of mechanics as well as elements of continuum mechanics also play an important role. The book will enable the reader to develop general principles from which equations of motion follow, to understand the importance of canonical mechanics and of symmetries as a basis for quantum mechanics, and to get practice in using general theoretical concepts and tools that are essential for all branches of physics. The book contains more than 150 problems with complete solutions, as well as some practical examples which make moderate use of personal computers. This will be appreciated in particular by students using this textbook to accompany lectures on mechanics. The book ends with some historical notes on scientists who made important contributions to the development of mechanics.

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Page Count

602

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Springer

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ISBN 10

3662554909

ISBN 13

9783662554906

Mechanics

From Newton's Laws to Deterministic Chaos ; with 2 Tables

By: Florian Scheck

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Mechanics

From Newton's Laws to Deterministic Chaos ; with 2 Tables

By: Florian Scheck

This third edition closely follows the fifth German edition. In particular, it now contains an enlarged presentation of the "tippe top" and a new section on the use of Riemannian geometry in mechanics. As before, the book contains numerous problems with complete solutions, and some practical examples.This will be appreciated in particular by students using the text to accompnay lectures on mechanics. The main features of the book remain unchanged: the coverage extends from elementary Newtonian mechanics, Lagrangian as well as canonical Hamilton-Jacobian mechanics, the mechanics of rigid bodies, special relativity, and the geometric aspects of mechanics to the discussion of deterministic chaos and a short introduction to continuous systems. The book ends with some historical remarks on important pioneers in mechanics.

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Page Count

552

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540655581

ISBN 13

9783540655589

Classical Field Theory

On Electrodynamics, Non-Abelian Gauge Theories and Gravitation

By: Florian Scheck

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Classical Field Theory

On Electrodynamics, Non-Abelian Gauge Theories and Gravitation

By: Florian Scheck

Scheck’s successful textbook presents a comprehensive treatment, ideally suited for a one-semester course. The textbook describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell's theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell's theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell's theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity. The new concept of this edition presents the content divided into two tracks: the fast track for master's students, providing the essentials, and the intensive track for all wanting to get in depth knowledge of the field. Cleary labeled material and sections guide students through the preferred level of treatment. Numerous problems and worked examples will provide successful access to Classical Field Theory.

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Page Count

474

Publisher

Springer

Published Date

ISBN 10

3662555794

ISBN 13

9783662555798

Mechanics

From Newton's Laws to Deterministic Chaos

By: Florian A. Scheck

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Mechanics

From Newton's Laws to Deterministic Chaos

By: Florian A. Scheck

Purpose and Emphasis. Mechanics not only is the oldest branch of physics but was and still is the basis for all of theoretical physics. Quantum mechanics can hardly be understood, perhaps cannot even be formulated, without a good knowledge of general mechanics. Field theories such as electrodynamics borrow their formal framework and many of their building principles from mechanics. In short, throughout the many modem developments of physics where one fre quently turns back to the principles of c1assical mechanics its model character is feIt. For this reason it is not surprising that the presentation of mechanics reflects to some extent the development of modem physics and that today this c1assical branch of theoretical physics is taught rather differently than at the time of Arnold Sommerfeld, in the 1920s, or even in the 1950s, when more emphasis was put on the theory and the applications of partial-differential equations. Today, symme tries and invariance principles, the structure ofthespace-time continuum, and the geometrical structure of mechanics play an important role. The beginner should realize that mechanics is not primarily the art of describing block-and-tackles, coIIisions of billiard balls, constrained motions of the cylinder in a washing ma chine, or bicycle riding.

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Page Count

523

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662029731

ISBN 13

9783662029732

Statistical Theory of Heat

By: Florian Scheck

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Statistical Theory of Heat

By: Florian Scheck

Scheck’s textbook starts with a concise introduction to classical thermodynamics, including geometrical aspects. Then a short introduction to probabilities and statistics lays the basis for the statistical interpretation of thermodynamics. Phase transitions, discrete models and the stability of matter are explained in great detail.Thermodynamics has a special role in theoretical physics. Due to the general approach of thermodynamics the field has as a bridging function between several areas like the theory of condensed matter, elementary particle physics, astrophysics and cosmology. The classical thermodynamics describes predominantly averaged properties of matter, reaching from few particle systems and state of matter to stellar objects. Statistical Thermodynamics covers the same fields, but explores them in greater depth and unifies classical statistical mechanics with quantum theory of multiple particle systems. The content is presented as two tracks: the fast track for master students, providing the essentials, and the intensive track for all wanting to get in depth knowledge of the field. Clearly labelled material and sections guide students through the preferred level of treatment. Numerous problems and worked examples will provide successful access to Statistical Physics and Thermodynamics.

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Page Count

240

Publisher

Springer

Published Date

ISBN 10

3319400495

ISBN 13

9783319400495

Book's by Florian A. Scheck

Mechanics

Mechanics

Mechanics

Mechanics

Mechanics

Mechanics

Classical Field Theory

Classical Field Theory

Mechanics

Mechanics

Statistical Theory of Heat

Statistical Theory of Heat

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