Edited by Patrick T. Harker, Stavros A. Zenios
Performance of Financial Institutions
Contributors
Patrick T. Harker, Stavros A. Zenios, Allen Berger, David Humphrey, Loretta Mester, Peter Klein,
Marc Saidenberg, Joseph Meador, Harley Ryan, Carolin Schellhorn, Piet Eicholtz, Hans Op Veld,
Mark Schweitzer, Steven Ongena, David C. Smith, Frances Frei, Larry Hunter, Andreas
Athanassopoulos, Andreas Soteriou, Paul Horvitz, Lawrence White, Kathryn Dewenter, Alan Hess,
Srilata Zaheer
Description
The efficient operation of financial intermediaries - banks, insurance and pension fund firms,
government agencies - is instrumental for the efficient functioning of the financial system and
the fuelling of the economies of the twenty-first century. But what drives the performance of
these institutions in today's global environment? The interdisciplinary and international perspective
of this volume offers a deep understanding of the drivers of performance in financial
institutions. World-renowned scholars from economics, finance, operations management and
marketing, and leading industry professionals, bring their expertise to bear. Among their
concerns are: the definition and measurement of the efficiency of such institutions; benchmarks of
efficiency; identification of performance drivers and measurement of their effects; the impact of
financial innovation and information technologies on performance; the effects of process design,
human resource management policies and regulations on efficiency; and interrelationships
between risk management and operational efficiency.
ISBN: 0-521-77767-4
Binding: Paperback (Hardback)
Size: 230 x 154 mm
Pages: 512
Weight: 0.705kg
Figures: 16 line diagrams 70 tables
Edited by N. Dyn, D. Leviatan, D. Levin, A. Pinkus
Multivariate Approximation and Applications
Contributors
R. Schaback, H. Wendland, M. D. Buhmann, H. N. Mhaskar, F. J. Narcowich, J. D. Ward, K. Jetter, G.
Plonka, A. Ron, T. Lyche, K. Mxrken, E. Quak, A. Cohen, P. Schrvder, J. Hoschek
Description
Multivariate approximation theory is today an increasingly active research area. It encompasses a wide range of tools for multivariate approximation such as multi-dimensional splines and finite elements,
shift-invariant spaces and radial-basis function Approximation theory in the multivariate setting
has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. The field is fascinating since much of the
mathematics of the classical univariate theory does not straightforwardly generalize to the multivariate setting, so new tools are required. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications.
Each article introduces a particular topic, takes the reader to the forefront of research and ends
with a comprehensive bibliography. This unique account is an ideal introduction to the subject for
researchers, in universities and industry, and graduate students.
Chapter Contents
List of contributors; Preface; 1. Characterization and construction of radial basis functions R.
Schaback and H. Wendland; 2. Approximation and interpolation with radial functions M. D.
Buhmann; 3. Representing and analyzing scattered data on spheres H. N. Mhaskar, F. J.
Narcowich and J. D. Ward; 4. A survey on L2-approximation orders from shift-invariant
spaces K. Jetter and G. Plonka; 5. Introduction to shift-invariant spaces. Linear independence A.
Ron; 6. Theory and algorithms for nonuniform spline wavelets T. Lyche, K. Mxrken and E. Quak;
7. Applied and computational aspects of nonlinear wavelet approximation A. Cohen; 8.
Subdivision, multiresolution and the construction of scalable algorithms in computer graphics P.
Schrvder; 9. Mathematical methods in reverse engineering J. Hoschek.
ISBN: 0-521-80023-4
Binding: Hardback
Pages: 292
Weight: 0kg
Figures: 22 line diagrams 14 colour
plates
Thomas A. Garrity
All the Mathematics You Missed
Description
Beginning graduate students in mathematics and other quantitative subjects are expected to have
a daunting breadth of mathematical knowledge. But few students, especially from the United
States, have such a background. This book will help students to see the broad outline of
mathematics and to fill in the gaps in their knowledge. The author explains the basic points
and a few key results of all the most important undergraduate topics in mathematics,
emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus,
differential and analytical geometry, real analysis, point-set topology, probability, complex
analysis, set theory, algorithms, and more. An annotated bibliography then offers a guide to
further reading and to more rigorous foundations. This book will be an essential resource for advanced undergraduate and beginning graduate students in mathematics, the physical sciences, engineering, computer science, statistics, and economics who need to quickly learn some serious mathematics.
Chapter Contents
1. Linear algebra; 2. e and d real analysis; 3. Vector-valued functions, Jacobians and the inverse function theorem; 4. Point set topology; 5. Classical Stokes theorem in vector calculus; 6. Differential forms and Stokes theorem; 7. Differential geometry of curves and surfaces; 8. Geometry; 9. Complex analysis; 10. Algebra; 11.
Lebesgue integration; 12. Fourier analysis; 13. Differential equations; 14. Set theory; 15. Algorithms; 16. Probability theory.
ISBN: 0-521-79285-1
Binding: Hardback
0-521-79707-1
(Paperback)
Pages: 350
H. Niederreiter, C. Xing
Rational Points on Curves over Finite Fields
London Mathematical Society Lecture Note Series
Description
Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on
algebraic curves over finite fields have been an important research topic for algebraic geometers
and coding theorists. The focus in this application of algebraic geometry to coding theory is on
algebraic curves over finite fields with many rational points (relative to the genus). Recently,
the authors discovered another important application of such curves, namely to the
construction of low-discrepancy sequences. These sequences are needed for numerical methods in
areas as diverse as computational physics and mathematical finance. This has given additional
impetus to the theory of, and the search for, algebraic curves over finite fields with many
rational points. This book aims to sum up the theoretical work on algebraic curves over finite
fields with many rational points and to discuss the applications of such curves to algebraic
coding theory and the construction of low-discrepancy sequences.
Chapter Contents
1. Background on function fields; 2. Class field theory; 3. Explicit function fields; 4. Function
fields with many rational places; 5. Asymptotic results; 6. Applications to algebraic coding
theory; 7. Applications to cryptography; 8. Applications to low-discrepancy sequences.
ISBN: 0-521-66543-4
Binding: Paperback
Pages: 256
Figures: 22 tables
Pertti Lounesto
Clifford Algebras and Spinors, 2nd edition
London Mathematical Society Lecture Note Series
Description
In this book, Professor Lounesto offers a unique introduction to Clifford algebras and spinors. The
initial chapters could be read by undergraduates; vectors, complex numbers and quaternions are
introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and
include treatments of the quantum mechanics of the electron, electromagnetism and special
relativity with a flavour of Clifford algebras. This book also gives the first comprehensive survey
of recent research on Clifford algebras. A new classification of spinors is introduced, based on
bilinear covariants of physical observables. This reveals a new class of spinors, residing between
the Weyl, Majorana and Dirac spinors. Scalar products of spinors are classified by involutory
anti-automorphisms of Clifford algebras. This leads to the chessboard of automorphism groups
of scalar products of spinors. On the analytic side, Brauer-Wall groups and Witt rings are
discussed, and Caucy痴 integral formula is generalized to higher dimensions.
Chapter Contents
1. Vectors and linear spaces; 2. Complex numbers; 3. Bivectors and the exterior algebra;
4. Pauli spin matrices and spinors; 5. Quaternions; 6. The fourth dimension; 7. The
cross product; 8. Electromagnetism; 9. Lorentz transformations; 10. The Dirac equation; 11.
Fierz identities and boomerangs; 12. Flags, poles and dipoles; 13. Tilt to the opposite
metric; 14. Definitions of the Clifford algebra; 15. Witt rings and Brauer groups; 16. Matrix
representations and periodicity of 8; 17. Spin groups and spinor spaces; 18. Scalar products of
spinors and the chessboard; 19. Mvbius transformations and Vahlen matrices; 20.
Hypercomplex analysis; 21. Binary index sets and Walsh functions; 22. Chevalley's construction
and characteristic 2; 23. Octonions and triality.
ISBN: 0-521-00551-5
Binding: Paperback
Pages: 344
Figures: 35 line diagrams