Paperback
Series: Classics in Applied Mathematics
ISBN:9781611972023
Publication date:October 2011
425pages
Dimensions: 247 x 174 mm
Weight: 0.56kg
This classic text focuses on elliptic boundary value problems in domains with nonsmooth boundaries and on problems with mixed boundary conditions. Its contents are essential for an understanding of the behavior of numerical methods for partial differential equations (PDEs) on two-dimensional domains with corners. Elliptic Problems in Nonsmooth Domains provides a careful and self-contained development of Sobolev spaces on nonsmooth domains, develops a comprehensive theory for second-order elliptic boundary value problems and addresses fourth-order boundary value problems and numerical treatment of singularities. This book is intended for researchers and graduate students in computational science and numerical analysis who work with theoretical and numerical PDEs. Readers need only a background in functional analysis to find the material accessible.
Foreword
Preface
1. Sobolev spaces
2. Regular second-order elliptic boundary value problems
3. Second-order elliptic boundary value problems in convex domains
4. Second-order boundary value problems in polygons
5. More singular solutions
6. Results in spaces of Holder functions
7. A model fourth-order problem
8. Miscellaneous
Bibliography
Index.
Paperback
Series: Dolciani Mathematical Expositions(No. 43)
ISBN:9780883853498
Dimensions: 247 x 174 mm
available from November 2011
Preface
Part I. Baseball: 1. Sabermetrics: the past, the present, and the future Jim Albert
2. Surprising streaks and playoff parity: probability problems in a sports context Rick Cleary
3. Did humidifying the baseball decrease the number of homers at Coors Field? Howard Penn
4. Streaking: finding the probability for a batting streak Stanley Rothman and Quoc Le
Part II. Basketball: 5. Bracketology: how can math help? Tim Chartier, Erich Kreutzer, Amy Langville and Kathryn Pedings
6. Down 4 with a minute to go G. Edgar Parker
7. Jump shot mathematics Howard Penn
Part III. Football: 8. How deep is your playbook? Tricia Muldoon Brown and Eric B. Kahn
9. A look at overtime in the NFL Chris Jones
10. Extending the Colley method to generate predictive football rankings R. Drew Pasteur
11. When perfect isn't good enough: retrodictive rankings in college football R. Drew Pasteur
Part IV. Golf: 12. The science of a drive Douglas N. Arnold
13. Is Tiger Woods a winner? Scott M. Berry
14. G. H. Hardy's golfing adventure Roland Minton
15. Tigermetrics Roland Minton
Part V. NASCAR: 16. Can mathematics make a difference? Exploring tire troubles in NASCAR Cheryll E. Crowe
Part VI. Scheduling: 17. Scheduling a tournament Dalibor Froncek
Part VII. Soccer: 18. Bending a soccer ball with math Tim Chartier
Part VIII. Tennis: 19. Teaching mathematics and statistics using tennis Reza Noubary
20. Percentage play in tennis G. Edgar Parker
Part IX. Track and Field: 21. The effects of altitude in the 400m sprint with various IAAF track geometries Vanessa Alday and Michael Frantz
22. Mathematical ranking of the Division III Track and Field Conferences Chris Fisette
23. What is the speed limit for Men's 100 Meter Dash? Reza Noubary
24. May the best team win: determining the winner of a cross country race Stephen Szydlik
25. Biomechanics of running and walking Anthony Tongen and Roshna E. Wunderlich.
Paperback
Series: London Mathematical Society Lecture Note Series(No. 397)
ISBN:9781107610491
47 b/w illus.
Dimensions: 228 x 152 mm
available from December 2011
Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace?Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject.
Preface
1. Hyperbolic geometry A. Aigon-Dupuy, P. Buser and K.-D. Semmler
2. Selberg's trace formula: an introduction J. Marklof
3. Semiclassical approach to spectral correlation functions M. Sieber
4. Transfer operators, the Selberg Zeta function and the Lewis?Zagier theory of period functions D. H. Mayer
5. On the calculation of Maass cusp forms D. A. Hejhal
6. Maass waveforms on (ƒ¡0(N), x) (computational aspects) Fredrik Stromberg
7. Numerical computation of Maass waveforms and an application to cosmology R. Aurich, F. Steiner and H. Then.
Paperback
Series: Mathematical Sciences Research Institute Publications(No. 28)
ISBN:9781107403840
Publication date:January 2012
170pages
Dimensions: 234 x 156 mm
available from January 2012
Preface Janos Kollar
Fundamental groups of smooth projective varieties Donu Arapura
Vector bundles on curves and generalized theta functions: recent results and open problems Arnaud Beauville
Recent results in higher dimensional birational geometry Alessio Corti
The Schottky problem: an update Olivier Debarre
Spectral covers Ron Donagi
Adjoint linear systems Lawrence Ein
Torelli groups and geometry of moduli spaces of curves Richard M. Hain
Vector bundles and Brill?Noether theory Shigeru Mukai.
Paperback
Series: CBMS-NSF Regional Conference Series in Applied Mathematics
ISBN:9781611971866
336pages
Dimensions: 247 x 174 mm
available from December 2011
This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The book is intended for mathematicians, physicists and engineers interested in the interplay between physical concepts and insights and the mathematical ideas and methods that are relevant to specific water-wave phenomena. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.
Preface
1. Introduction
2. Preliminaries
3. Wave-current interactions
4. Fluid kinematics for wave trains
5. Solitary water waves
6. Breaking waves
7. Modeling tsunamis
Bibliography
Index.
Paperback
Series: CBMS-NSF Regional Conference Series in Applied Mathematics(No. 83)
ISBN:9781611972009
Dimensions: 247 x 174 mm
available from December 2011
Preface
List of figures
1. Introduction
Part I. Random and Stochastic Ordinary Partial Differential Equations: 2. RODEs
3. SODEs
4. SODEs with nonstandard assumptions
Part II. Stochastic Partial Differential Equations: 5. SPDEs
6. Numerical methods for SPDEs
7. Taylor approximations for SPDEs with additive noise
8. Taylor approximations for SPDEs with multiplicative noise
Appendix: regularity estimates for SPDEs
Bibliography
Index.