Oxford Classic Texts in the Physical Sciences
758 pages | 56 b/w line illustrations | 246x189mm
978-0-19-958258-7 | Paperback | 10 December 2009
Elegance of mathematical presentation
Readability
Clarity of diagrams
Completeness of tables
Consideration of Shubnikov (black and white) groups.
This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of a system belong to the irreducible representations of the group of symmetry operations of that system. The theory is applied to give complete tables of these representations for all the 32 point groups and 230 space groups, including the double-valued representations. For the space groups, the group of the symmetry operations of the k vector and its irreducible representations are given for all the special points of symmetry, lines of symmetry and planes of symmetry in the Brillouin zone. Applications occur in the electronic band structure, phonon dispersion relations and selection rules for particle-quasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups.
Readership: University libraries, libraries of research institutes, national reference libraries, research workers in mathematical physics, solid state physics, molecular and solid state chemistry
1: Symmetry and the Solid State
2: Symmetry-Adapted Functions for the Point Groups
3: Space Groups
4: The Representations of a Group in Terms of the Representations of an Invariant Subgroup
5: The Single-Valued Representations of the 230 Space Groups
6: The Double-Valued Representations of the 32 Point Groups and the 230 Space Groups
7: The Magnetic Groups and their Corepresentations
304 pages | 234x156mm
978-0-19-957559-6 | Hardback | 07 January 2010
978-0-19-957558-9 | Paperback | 07 January 2010
Groundbreaking work for students by a leading philosopher
The only book of its kind
Accessible to students with a basic grounding in logic
Clearly and entertainingly written
Features exercises, answers, and hints
Covers a wide range of philosophically interesting topics
Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Readership: Advanced undergraduates and graduate students in philosophy
Preface
1: Nature of Logic
2: Propositional Logic
3: Beyond Standard Propositional Logic
4: Predicate Logic
5: Beyond Standard Predicate Logic
6: Propositional Modal Logic
7: Beyond Standard MPL
8: Counterfactuals
9: Quantified Modal Logic
10: Two-dimensional modal logic
Answers and Hints
References
Index
Numerical Mathematics and Scientific Computation
720 pages | 67 b/w line illustrations | 246x171mm
978-0-19-957704-0 | Hardback | April 2010 (estimated)
Unique book, providing stability, convergence and computing results for all important numerical methods
Suitable for graduate courses and advanced seminars
Covers general linear and nonlinear elliptic problems, including nonlinear boundary conditions
Includes adaptivity for finite element and wavelet methods
Provides solutions to several problems open for more than twenty years
Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, creating an exciting interplay between the subjects. This is the first and only book to prove in a systematic and unifying way, stability, convergence and computing results for the different numerical methods for nonlinear elliptic problems. The proofs use linearization, compact perturbation of the coercive principal parts, or monotone operator techniques, and approximation theory. Examples are given for linear to fully nonlinear problems (highest derivatives occur nonlinearly) and for the most important space discretization methods: conforming and nonconforming finite element, discontinuous Galerkin, finite difference, wavelet (and, in a volume to follow, spectral and meshfree) methods. A number of specific long open problems are solved here: numerical methods for fully nonlinear elliptic problems, wavelet and meshfree methods for nonlinear problems, and more general nonlinear boundary conditions. We apply it to all these problems and methods, in particular to eigenvalues, monotone operators, quadrature approximations, and Newton methods. Adaptivity is discussed for finite element and wavelet methods.
The book has been written for graduate students and scientists who want to study and to numerically analyze nonlinear elliptic differential equations in Mathematics, Science and Engineering. It can be used as material for graduate courses or advanced seminars.
Readership: Graduate students and scientists who want to study and to numerically analyze nonlinear elliptic differential equations and systems in Mathematics, Science and Engineering. Departments of Mathematics, Science and Engineering could use this book as material for many different graduate courses or advanced seminars.
I: ANALYTICAL RESULTS
1: From Linear to Nonlinear Equations, Fundamental Results
2: Analysis for Linear and Nonlinear Elliptic Problems
II: NUMERICAL METHODS
3: A General Discretization Theory
4: O. Davydov: Finite Element Methods
5: Nonconforming Finite Element Methods
6: W. Doerfler: Adaptive Finite Element Methods
7: V. Dolejsi: Discontinuous Galerkin Methods (DCGMs)
8: Finite Difference Methods
9: S. Dahlke and T. Raasch: Variational Methods for Wavelets
336 pages | 24 B&W Halftones | 196x129mm
978-0-19-923857-6 | Paperback | March 2010 (estimated)
Reveals the different ways that living creatures have been - and still are - used in scientific discovery
Packed with fascinating vignettes from the rich history of 500 years of science
The stories are by no means confined to the traditional idea of the laboratory, nor are the subjects exclusively animals and plants: we range from the streets of Paris to the Galapagos Islands, and read of artificial life, and scientists who experimented on themselves
Sheds light on many issues in the practice and philosophy of science - as Harre redefines traditional ideas of apparatus, instrumentation, and the 'bricks and mortar' laboratory
Leaves the ethical issues entirely to the reader to reflect upon
Written by a widely respected philosopher of science
Looks at many recent examples from modern science, such as the famous 'Vacanti Mouse'
From the sheep, dog, and cockerel that were sent aloft in Montgolfier's balloon, to Galvani's frog's legs, Dolly the Sheep, the finches of the Galapagos, and even imaginary cats and simulated life forms, Pavlov's Dogs and Schrodinger's Cat explores the fascinating history of the role of living things in science.
The ways in which animals and plants have been used in science has always been a matter for considerable public debate, and this book provides an important and fascinating new perspective, setting aside moral reflection to simply examine the history of how and why living creatures have been used for the purposes of scientific discovery. Many extraordinary stories are uncovered throughout five centuries of science - tales of the people involved, curious incidents and episodes, and the occasional scientific fraud too, as clear reflections on the history and philosophy of science are combined with remarkable accounts from the living laboratory.
Readership: Readers of popular science as well as those studying the history and philosophy of science. Also of interest to those working with animals in science, and anyone interested in the ethical debates about animals in science
Part I: Instruments
1: Experimenting
2: Detecting
3: Measuring
Part II: Apparatus and the Logic of Experimentation
4: Exploring a New Domain
5: Extending an Established Domain
6: Testing Hypotheses
Part III: Models and Modeling
7: Modelling Individuals
8: Modelling Worlds
Part IV: Fakes and Fantasies
9: Practising Deception
10: Imagining Novel Beings
Index
224 pages | 18 black and white halftone and line illustrations | 240x158mm
978-0-19-806449-7 | Hardback | April 2010 (estimated)
Book celebrates 100 years of Einstein's Relativity Principle
Eminent contributors
Written accessibly
In 1905, Albert Einstein wrote five papers which marked a watershed between classical and modern physics. These papers dealt with the problem of 'Reality of Atoms'; 'Theory of Special Relativity', which overthrew Newtonian conceptions of space and time; and his most revolutionary 'Light-Quantum Hypothesis', which together with Planck's work on black body radiation started the Quantum Revolution. The year 2005 was celebrated by UNESCO as 'International Year of Physics' commemorating the centenary of the Relativity Principle.
To celebrate this landmark, Nehru Centre, Mumbai organized a Lecture Series. Projecting the influence that Einstein's work has had on fundamental issues in physics, these lectures were delivered by eminent scientists and researchers. This volume includes the nine lectures delivered on the occasion. The first lecture by Virendra Singh highlights Einstein's novel contribution in 1905. Then Arvind Kumar elaborates on the route that Einstein took to resolve the problems of black body radiation. While Jayant Narlikar presents a historical account of how cosmology has developed since Einstein's 1917 paper, S.M. Chitre elaborates on how relativity has played a crucial role in solving the central problem concerning the source of energy for stars. While T. Padmanabhan writes on Einstein's role in shaping our understanding of astronomy and cosmology, Sandip Trivedi shows that Einstein had a quest, a central focus that increasingly dominated his scientific life after 1915. Abhay Ashtekar writes on how, at the beginning of the twentieth century, Einstein revolutionized the notions of space and time, and Naresh Dadhich narrates that in his monumental discoveries, the driving force for Einstein was consistency of concept and principle rather than conflict with experiment. The final lecture by B.N. Jagtap discusses one of the most fascinating topics associated with two great scientists of the twentieth century, Albert Einstein and Sathyendra Nath Bose.
Readership: Students, researchers, and teachers of physics and astrophysics, as well as general readers.
Foreword o Acknowledgements
B.V. Sreekantan / Introduction
1.: Virendra Singh / 'Albert Einstein: His Annus Mirabilis 1905'
2.: Arvind Kumar / 'Einstein and Light Quanta'
3.: Jayant V. Narlekar / 'Einstein and Cosmology'
4.: S.M. Chitre / 'Role of relatively in Astronomy and Astrophysics'
5.: T. Padmanabhan / 'Cosmology and Dark Energy'
6.: Sandip P. Trivedi / 'Einstein's Dream and String Theory'
7.: Abhay Ashtekar / 'Space and Time: From Antiquity to Einstein and Beyond'
8.: Naresh Dadhich / 'Why Einstein (Had I been born in 1844!)?'
9.: B.N. Jagtap / 'Bose-Einstein Condensation: When Atoms become Waves'
o List of Contributors o Index