A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe
A Basic Exposition of Classical Mechanical Systems
Author: Jerrold E. Marsden
Publisher: Springer Science & Business Media
A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.
AN INTRODUCTION TO MECHANICS OF MATERIALS attempts to deal with the subject as an engineering science with a clear elaboration of the central scheme of dealing with this subject, namely, delinking the geometry aspects of the subject from the materials aspects. This is achieved by using explicitly the three-step scheme of macro (forces) to micro (stresses) conversion, transforming at the micro level (from stresses to strains), and then converting back to the macro level (deformations), or vice versa. Another aspect which has been emphasised considerably is the construction of idealized models of the physical structures such that they are amenable to analysis with the mathematical tools available with a beginning engineering student. The level of mathematics used has been kept at the very minimum, without sacrificing the rigour. In the belief that not all readers would have sufficient familiarity with the engineering aspects of many applications discussed, considerable amount of details about these have been included wherever feasible. SUPPLEMENTS AVAILABLE ON REQUEST FOR TEACHERS * CD of Solutions Manual * CD of Power Point Presentation
Expose Your Students to the Elegant World of Physics in an Enticing Way Physics from Planet Earth - An Introduction to Mechanics provides a one-semester, calculus-based introduction to classical mechanics for first-year undergraduate students studying physics, chemistry, astronomy, or engineering. Developed from classroom-tested materials refined and updated for over ten years at Colgate University, the book guides students on a journey beyond standard approaches that use blocks, projectiles, and inclined planes to grander themes involving interplanetary travel, exoplanets, asteroid collisions, and dark matter. Beginning students are often bewildered by the rapid-fire presentation of physical concepts, mathematics, and problem-solving strategies in traditional introductory textbooks. In contrast, this text: Introduces the three conservation laws (momentum, energy, and angular momentum) as fundamental laws of nature from which secondary concepts, such as force and torque, are derived Organizes topics around the conservation laws, avoiding the typical "math overload" that confronts students at the start of standard courses Motivates and illustrates many topics through real, contemporary applications in astronomy, planetary science, and space travel After reviewing the basic mathematical tools needed to study mechanics, the text addresses the conservation of momentum and applications, such as gravity-assisted space travel and rocket propulsion. It next discusses Newton’s Laws and numerous space- and astronomy-based applications. The text then presents evidence for a second conservation principle, energy, which allows us to describe motion as a function of position rather than time. The book also explores the conservation of angular momentum and a variety of applications, including pulsars, orbital eccentricity, and gyroscopes. The text concludes with a discussion of dark matter, dark energy, and the ultimate fate of the universe.
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
This text is based on the understanding and application of three fundamental physical considerations which govern the mechanics of solids in equilibrium. All the discussion and theoretical development is explicitly related to these three basic considerations. This approach brings in unity to an elementary presentation of the subject. Considerable emphasis has been put on the process of constructing idealized models to represent actual physical situations. Feature: • Completely in SI Units • The book begins with all crude approximations and goes on to remove them oneby- one leading to a more realistic picture of the concepts o Strong pedagogical features Includes: o 626 Figures o 456 Problems feature