ENGINEERING - Cambridge University Press India

Electronic Basis of
the Strength of
Materials
John G. Gilman
University of California,
Los Angeles
This book is the first to relate the complete set of
strength characteristics of constituent atoms to
their electronic structures. These relationships
require knowledge of both the chemistry and
physics of materials. The book uses both classical
and quantum mechanics, since both are needed
to describe these properties, and begins with short
reviews of each. Following these reviews, the
three major branches of the strength of materials
are given their own sections. They are: the elastic
stiffnesses; the plastic responses; and the nature
of fracture. This work will be of great value to
academic and industrial research workers in the
sciences of metallurgy, ceramics,
microelectronics, and polymers. It will also serve
well as a supplementary text for the teaching of
solid mechanics.
Contents: Part I Introduction; Part II Elements of
Solid Mechanics: 1. Nature of elastic stiffness;
2. Generalized stress; 3. Generalized strain;
4. Elastic coefficients; Part III Elements of Electron
Mechanics: 5. Properties of electrons; 6. Quantum
states; 7. Periodic patterns of electrons;
8. Heisenberg’s Principle; Part IV Elastic Stiffness:
9. Cohesion of atoms; 10. Intramolecular
cohesion;11. Intermolecular cohesion; 12. Bulk
modulus; 13. Shear moduli; 14. Entropic elasticity
(polymers); 15. Universality and unification; Part V
Plastic Strength: 16. Macroscopic plastic
deformation; 17. Microscopic plastic deformation;
18. Dislocation mobility; Part VI Fracture
Resistance: 19. Mechanics of cracks; 20. Surface
and interfacial energies; 21. Fracturing rates.
Perspectives in
Fluid Dynamics
A Collective
Introduction to Current
Research
G. K. Batchelor
University of
Cambridge
H. K. Moffatt
University of
Cambridge
& M G. Worster
University of
Cambridge
Fluid mechanics is a rich and fascinating subject,
with applications ranging from modelling the
environment, to automotive design, to physiology,
to astrophysics. At the same time, basic physical
phenomena such as turbulence still present
fundamental challenges. Conventional textbooks
cannot hope to give graduate students more than
an inkling of what topics are currently being
researched, or how to make a choice between
them. This book aims to rectify matters, at least in
part. It consists of eleven chapters that each
introduces a different branch of the subject.
Though not exhaustive, the coverage is broad:
thin-film flows, Saffman-Taylor fingering, flows in
arteries and veins, convective and absolute
instabilities, turbulence, natural convection,
magnetohydrodynamics, solidification, geological
fluid mechanics, oceanography and atmospheric
dynamics are all introduced and reviewed by
established authorities. Thus the book will not only
be suitable for graduate-level courses but also for
specialists seeking introductions to other areas.
Contents: Preface; 1. Interfacial Fluid Dynamics;
2. Viscous Fingering as an Archetype for Growth
Patterns; 3. Blood Flow in Arteries and Veins;
4. Open Shear Flow Instabilities; 5. Turbulence;
6. Convection in the Environment; 7. Reflections
on Magnetohydrodynamics; 8. Solidification of
Fluids; 9. Geological Fluid Mechanics; 10. The
Dynamic Ocean; 11. On Global-Scale Atmospheric
and Oceanic Circulations; Index.
ISBN: 9780521620055 290pp £ 91.00
ISBN: 9780521531696 644pp £ 65.00
Introduction to
Dynamical Systems
Michael Brin
University of Maryland,
College Park
& Garrett Stuck
University of Maryland,
College Park
This book provides a broad introduction to the
subject of dynamical systems, suitable for a oneor
two-semester graduate course. In the first
chapter, the authors introduce over a dozen
examples, and then use these examples
throughout the book to motivate and clarify the
development of the theory. Topics include
topological dynamics, symbolic dynamics, ergodic
theory, hyperbolic dynamics, one-dimensional
dynamics, complex dynamics, the measuretheoretic
entropy. The authors top off the
presentation with some beautiful and remarkable
applications of dynamical systems to such areas
as number theory, data storage, and Internet
search engines.
This book grew out of lecture notes from the
graduate dynamical systems course at the
University of Maryland, College Park, and reflects
not only the tastes of the authors, but also to some
extent the collective opinion of the Dynamics
Group at the University of Maryland, which
includes experts in virtually every major area of
dynamical systems.
Contents: Introduction; 1. Examples and Basic
Concepts; 2. Topological Dynamics; 3. Symbolic
Dynamics; 4. Ergodic Theory; 5. Hyperbolic
Dynamics; 6 Ergodicity of Anosov
Diffeomorphisms; 7. Low-Dimensional Dynamics;
8. Complex Dynamics; 9. Measure-Theoretic
Entropy; Bibliography; Index.
An Introduction to
Turbulent Flow
Jean Mathieu
Ecole Centrale de Lyon
& Julian Scott
Ecole Centrale de Lyon
An Introduction to Turbulent Flow offers a solid
grounding in the subject of turbulence, developing
both physical insight and the mathematical
framework needed to express the theory. It begins
with a review of the physical nature of turbulence,
statistical tools, and space and time scales of
turbulence. Basic theory is presented next,
illustrated by examples of simple turbulent flows
and developed through classical models of jets,
wakes, and boundary layers. A deeper
understanding of turbulence dynamics is provided
by spectral analysis and its applications. The final
chapter introduces the numerical simulation of
turbulent flows. This well-balanced text will interest
graduate students in engineering, applied
mathematics and physical sciences. It is also a
useful reference for practising engineers and
scientists.
Contents: Preface and Roadmap; General
References; 1. An Introduction to Turbulence;
2. Statistical Tools; 3. Space and Time Scales of
Turbulence; 4. Basic Theory and Illustrative
Examples; 5. Classical Models of Jets, Wakes,
and Boundary Layers; 6. Spectral Analysis of
Homogeneous Turbulence; 7. Kolmogorov’s and
Other Theories Based on Spectral Analysis;
8. Numerical Simulation of Turbulent Flows; Index.
ISBN: 9780521775380 384pp £ 46.00
ISBN: 9780521808415 252pp £ 42.00
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