(ISBN-13: 9780521065870)
107 line diagrams
Page extent: 344 pages
Size: 234 x 156 (Royal)
Boundary-layer separation from a rigid body surface is one of the fundamental problems of classical and modern fluid dynamics. The major successes achieved since the late 1960s in the development of the theory of separated flows at high Reynolds numbers are in many ways associated with the use of asymptotic methods. The most fruitful of these has proved to be the method of matched asymptotic expansions, which has been widely used in mechanics and mathematical physics. There have been many papers devoted to different problems in the asymptotic theory of separated flows and we can confidently speak of the appearance of a very productive direction in the development of theoretical hydrodynamics. This book will present this theory in a systematic account. The book will serve as a useful introduction to the theory, and will draw attention to the possibilities that application of the asymptotic approach provides.
Preface; 1. The theory of separation from a smooth surface; 2. Flow separation from corners of a body contour; 3. Flow in the vicinity of the trailing edge of a thin airfoil; 4. Separation at the leading edge of a thin airfoil; 5. The theory of unsteady separation; 6. The asymptotic theory of flow past blunt bodies; 7. Numerical methods for solving the equations of interaction theory; References.
Series: London Mathematical Society Lecture Note Series (No. 351)
Paperback (ISBN-13: 9780521719193)
Page extent: 416 pages
Size: 228 x 152 mm
A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa’s methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory.
* First book devoted to the general theory of finite von Neumann algebras
* Contains large amount of current research, yet accessible to any postgraduate
student in the area of operator algebras * Detailed discussion of masas,
a topic not previously discussed in book form
General introduction; 1. Masas in B(H); 2. Finite von Neumann algebras; 3. The basic construction; 4. Projections and partial isometries; 5. Normalisers, orthogonality, and distances; 6. The Pukanszky invariant; 7. Operators in L; 8. Perturbations; 9. General perturbations; 10. Singular masas; 11. Existence of special masas; 12. Irreducible hyperfinite subfactors; 13. Maximal injective subalgebras; 14. Masas in non-separable factors; 15. Singly generated II1 factors; Appendix A. The ultrapower and property Γ; Appendix B. Unbounded operators; Appendix C. The trace revisited; Index.
Paperback (ISBN-13: 9780521712354)
Hardback (ISBN-13: 9780521885188)
599 line diagrams 24 half-tones 88 tables 194 exercises
Page extent: 800 pages
Size: 253 x 177 mm
Avoiding overly large blocks of code used in most other database programming
books, this book shows a simple and easy way to create database programs
and explains how to build professional and practical databases more efficiently.
In addition to Design Tools and Wizards, the runtime object method is also
discussed and analyzed to let users design and implement more sophisticated
data-driven applications with complicated coding techniques. Three popular
database systems * Microsoft Access, SQL Server 2005, and Oracle Database
10g Express Edition (XE) * are discussed in detail, with practical examples
and sample projects. This book will appeal to college students, programmers,
and software engineers alike. Sample code and additional exercise questions
for students, as well as solutions and lecture slides for instructors,
are available via the Web (www.cambridge.org/9780521712354).
* A real sample database CSE_DEPT with 3 versions is provided and used
for the entire book * Sample code and additional exercise questions for
students, as well as solutions and lecture slides for instructors are available
via the Web * Provides homework and exercises to serve as a good textbook
for college students
1. Introduction; 2. Introduction to databases; 3. Introduction to ADO.NET; 4. Data selection query with Visual Basic.NET; 5. Data inserting with Visual Basic.NET; 6. Data updating and deleting with Visual Basic.NET; 7. Accessing data in ASP.NET; 8. ASP.NET web services.
Series: London Mathematical Society Lecture Note Series (No. 348)
Paperback (ISBN-13: 9780521683722)
After the pioneering work on complex dynamics by Fatou and Julia in the early 20th century, Noel Baker went on to lay the foundations of transcendental complex dynamics. As one of the leading exponents of transcendental dynamics, he showed how developments in complex analysis such as Nevanlinna theory could be applied. His work has inspired many others to take up this increasingly active subject, and will continue to do so. Presenting papers by researchers in transcendental dynamics and complex analysis, this book is written in honour of Noel Baker. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis.
* Many new results provide a snapshot of work at the forefront of current
research * Five survey articles make the book ideal for graduate students
who need an overview of the subject * The book as a whole provides a summary
of Noel Baker’s work as one of the foremost exponents of complex dynamics
Contents
Introduction; 1. Iteration of inner functions and boundaries of components
of the Fatou set D. Bargmann; 2. Conformal automorphisms of finitely connected
regions A. F. Beardon and D. Minda; 3. Meromorphic functions with two completely
invariant domains W. Bergweiler and A. Eremenko; 4. A family of matings
between transcendental entire functions and a Fuchsian group S. Bullett
and M. Freiberger; 5. Singular perturbations of zn R. Devaney, M. Holzer,
D. Look, M. Moreno Rocha and D. Uminsky; 6. Residual Julia sets of rational
and transcendental functions P. Dominguez and N. Fagella; 7. Bank-Laine
functions via quasiconformal surgery D. Drasin and J. K. Langley; 8. Generalisations
of uniformly normal families W. K. Hayman and A. Hinkkanen; 9. Entire functions
with bounded Fatou components A. Hinkkanen; 10. On multiply connected wandering
domains of entire functions M. Kisaka and M. Shishikura; 11. Fractal measures
and ergodic theory of transcendental meromorphic functions J. Kotus and
M. Urba*ski; 12. Combinatorics of bifurcations in exponential parameter
space L. Rempe and D. Schleicher; 13. Baker domains P. J. Rippon; 14. Escaping
points of the cosine family G. Rottenfusser and D. Schleicher; 15. Dimensions
of Julia sets of transcendental meromorphic functions G. M. Stallard; 16.
Abel’s functional equation and its role in the problem of croissance reguliere
G. Szekeres.
Series: London Mathematical Society Lecture Note Series (No. 354)
Paperback (ISBN-13: 9780521717885)
5 line diagrams 3 tables 2 figures 7 worked examples
Page extent: 332 pages
Size: 228 x 152 mm
Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl’s theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work.
* Presents up to date results and their historic background, in particular
their roots in Weyl's work * Surveys by leading experts from many different
areas of mathematics * Broad and accessible presentation
List of speakers and talks; 1. Harmonic Analysis on Compact Symmetric Spaces Roe Goodman; 2. Weyl, eigenfunction expansions, symmetric spaces Erik van den Ban; 3. Weyl’s Work on Singular Sturm-Liouville Operators W. N. Everitt and H. Kalf; 4. From Weyl quantization to modern algebraic index theory Markus J. Pflaum; 5. Sharp spectral inequalities for the Heisenberg Laplacian A. M. Hannson and A. Laptev; 6. Equidistribution for quadratic differentials Ursula Hamenstadt; 7. Weyl’s law in the theory of automorphic forms Werner Muller; 8. Weyl’s Lemma, One of Many Daniel W. Stroock; 9. Analysis on foliated spaces and arithmetic geometry Christopher Deninger; 10. Reciprocity Algebras and Branching R. E. Howe, E.-C. Tan and J. F. Willenbring; 11. Character formulae from Hermann Weyl to the present Jens Carsten Jantzen; 12. The Classification of Affine Buildings Richard M. Weiss; 13. Emmy Noether and Hermann Weyl Peter Roquette.