Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem.

531 --- 531 General mechanics. Mechanics of solid and rigid bodies --- General mechanics. Mechanics of solid and rigid bodies --- Mechanics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Classical mechanics. Field theory --- Mechanics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- E-books --- Physics. --- Mecanique classique

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding mathematical structure revealing a great deal about interrelations between the behavior for different parameter values. This work explains some of the early results of this theory to mathematicians and theoretical physicists, with the additional hope of stimulating experimentalists to look for more of these general phenomena of beautiful regularity, which oftentimes seem to appear near the much less understood chaotic systems. Although continuous maps of an interval to itself seem to have been first introduced to model biological systems, they can be found as models in most natural sciences as well as economics. Iterated Maps on the Interval as Dynamical Systems is a classic reference used widely by researchers and graduate students in mathematics and physics, opening up some new perspectives on the study of dynamical systems . This book is a thorough and readable introduction to some aspects of the theory of one-dimensional dynamical systems…The kneading calculus of Milnor—Thurston receives its most accessible treatment to date in print…This is an important and beautiful exposition, both as an orientation for the reader unfamiliar with this theory and as a prelude to studying in greater depth some of the hard papers on the subject. —Mathematical Reviews (Review of the original hardcover edition) This book provides a good survey of recent developments in the study of the dynamics of smooth self-maps on the interval. It…deals with a subject whose literature often appears in physics journals. This literature suffers in general from a failure to distinguish between mathematical theorems and ‘facts’ determined empirically, usually by computer experiment. It is a difficult task to consider both of these types of information and carefully maintain the distinction (an absolute necessity from the point of view of a mathematician). The work under review seems to do a good job of this…On the whole this work is a good one meeting a need to survey recent results in this active and important area of mathematics. —Zentralblatt MATH (Review of the original hardcover edition).

Difference equations. --- Differentiable dynamical systems. --- Mappings (Mathematics). --- Differentiable dynamical systems --- Mappings (Mathematics) --- Geometry --- Applied Mathematics --- Calculus --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Maps (Mathematics) --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Science. --- Science, general. --- 531 --- 531 General mechanics. Mechanics of solid and rigid bodies --- General mechanics. Mechanics of solid and rigid bodies --- Functions --- Functions, Continuous --- Topology --- Transformations (Mathematics) --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Natural science --- Science of science --- Sciences --- Natural sciences --- Dynamique différentiable --- Équations différentielles. --- Fluides, Mécanique des --- Turbulence.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The distinctive contribution of this book is that it presents a pragmatic approach for preserving biological diversity. Experts in a wide variety of fields, including philosophy, environmental policy, law, economics and biology, present different perspectives on how to prevent widespread extinction around the world. Several chapters deal with basic questions such as how we should define biodiversity and how we should determine what is most important to save. Two chapters focus on how we can place an economic value on biological diversity, a step that is often critical for gaining acceptance for conservation efforts. One of the major conclusions is that people are often willing to pay to preserve natural systems that have no immediate value in terms of generating income or commodities. Other chapters are case studies of efforts to protect particular species or ecosystems; these provide practical guidelines for how to protect biodiversity more effectively. The book is divided into three sections: we start with discussions of efforts to protect endangered species; move to approaches for protecting intact, functioning natural ecosystems; and finish with proposals to protect the global natural system (the biosphere). It becomes clear as one progresses through these sections that these three approaches do not constitute distinctly different, much less competing, strategies for protecting biological diversity. Instead they are interdependent. Efforts to protect a particular endangered species typically lead to efforts to protect its ecosystem. Similarly, efforts to protect an ecosystem lead naturally to concerns about the atmosphere, climate and water supplies. The interdependence may also work in the other direction: loss of species potentially can undermine the stability and resilience of ecosystems, which can have a large negative impact on the biosphere. The main conclusion is that a wide range of approaches to conservation is needed to maintain diverse and ecologically functioning natural systems.

Biodiversity. --- Environmental economics. --- Nature conservation. --- Conservation of nature --- Nature --- Nature protection --- Protection of nature --- Conservation of natural resources --- Applied ecology --- Conservation biology --- Endangered ecosystems --- Natural areas --- Economics --- Environmental quality --- Biological diversification --- Biological diversity --- Biotic diversity --- Diversification, Biological --- Diversity, Biological --- Biology --- Biocomplexity --- Ecological heterogeneity --- Numbers of species --- Conservation --- Environmental aspects --- Economic aspects --- Nature Conservation. --- Environmental law. --- Environmental Economics. --- Environmental Law/Policy/Ecojustice. --- Environment law --- Environmental control --- Environmental protection --- Environmental policy --- Law --- Sustainable development --- Law and legislation --- Environmental policy. --- Environment and state --- Environmental management --- State and environment --- Environmental auditing --- Government policy --- Dynamics. --- Mechanics. --- Quantum theory. --- Dynamique --- Théorie quantique --- Quantum mechanics. Quantumfield theory --- Classical mechanics. Field theory --- Dynamics --- Mechanics --- Quantum theory --- 530.145 --- 531.3 --- 531 --- 531 General mechanics. Mechanics of solid and rigid bodies --- General mechanics. Mechanics of solid and rigid bodies --- 531.3 Dynamics. Kinetics --- Dynamics. Kinetics --- 530.145 Quantum theory --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Thermodynamics --- Classical mechanics --- Newtonian mechanics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics