John Taylor has brought to his new book, Classical Mechanics , all of the clarity and insight that made his Introduction to Error Analysis a best-selling text. Classical Mechanics is intended for students who have studied some mechanics in an introductory physics course and covers such topics as conservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory, Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a few simple systems, to give a truly comprehensible introduction to the concepts that we hear so much about. At the end of each chapter is a large selection of interesting problems for the student, classified by topic and approximate difficulty, and ranging from simple exercises to challenging computer projects. Taylor´s Classical Mechanics is a thorough and very readable introduction to a subject that is four hundred years old but as exciting today as ever. He manages to convey that excitement as well as deep understanding and insight.
Fluid mechanics embraces engineering, science, and medicine. This book´s logical organization begins with an introductory chapter summarizing the history of fluid mechanics and then moves on to the essential mathematics and physics needed to understand and work in fluid mechanics. Analytical treatments are based on the Navier-Stokes equations. The book also fully addresses the numerical and experimental methods applied to flows. This text is specifically written to meet the needs of students in engineering and science. Overall, readers get a sound introduction to fluid mechanics.
In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna´s book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author´s large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
Devoted to the foundation of mechanics, namely classical Newtonian mechanics, this mechanics text is based mainly on Galileo´s principle of relativity and Hamilton´s principle of least action. The exposition is simple and leads to a complete and direct means of solving problems in mechanics.
For 40 years, Kleppner and Kolenkow´s classic text has introduced students to the principles of mechanics. Now brought up to date, this revised and improved second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics. The book retains all the features of the first edition, including numerous worked examples, challenging problems and extensive illustrations, and has been restructured to improve the flow of ideas. It now features new examples taken from recent developments, such as laser slowing of atoms, exoplanets and black holes; a ´Hints, Clues and Answers´ section for the end-of-chapter problems to support student learning; and a solutions manual for instructors at www.cambridge.org/kandk.
The book summarises 50 years (1967-2017) research activities of Prof. Guy Pluvinage in Fatigue and Fracture Mechanics. It is demonstrated the pioneer period of Fracture Mechanics in France in the mid-60´s following the European seminar organised by G. Irwin and P. Paris and supported by MTS Company which produced the first servo-hydraulic material testing equipment in 1964. Previously, the risk of brittle fracture was avoided by design rules based on the transition temperature concept determined on Charpy specimens. A generalised fracture mechanics concept has been developed by introducing the ´´notch fracture mechanics´´ approach in which the ´´crack´´ is only a particular type of the notch with zero notch radii. In this concept the material behaviour is characterised by the ´´effective distance´´ including not only the external loading conditions, but the notch geometry parameters and plastic behaviours of materials as well. The role of the notch and specimen geometry on fracture behaviour on non-elastic materials can be expressed by different kind parameters, like T, Q or triaxiality of stresses.
Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.
Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. The first part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the book begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms.