Author: Stephen Childress
Publisher: American Mathematical Society, Courant Institute of Mathematical Sciences at New York University
Keywords: lecture, notes, courant, mechanics, theoretical, fluid, introduction
Number of Pages: 201
Published: 2009-10-09
List price: $31.00
ISBN-10: 0821848887
ISBN-13: 9780821848883
This book gives an overview of classical topics in fluid dynamics, focusing on the kinematics and dynamics of incompressible inviscid and Newtonian viscous fluids, but also including some material on compressible flow. The topics are chosen to illustrate the mathematical methods of classical fluid dynamics. The book is intended to prepare the reader for more advanced topics of current research interest.
Author: Jalal Shatah and Michael Struwe
Publisher: American Mathematical Society, Courant Institute of Mathematical Sciences at New York University
Keywords: lecture, notes, courant, equations, wave, geometric
Number of Pages: 138
Published: 2000-10-24
List price: $25.00
ISBN-10: 0821827499
ISBN-13: 9780821827499
This volume contains notes of the lectures given at the Courant Institute and a DMV-Seminar at Oberwolfach. The focus is on the recent work of the authors on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions. Background material and references have been added to make the notes self-contained. The book is suitable for use in a graduate-level course on the topic.
Author: Peter D. Lax
Publisher: American Mathematical Society/Courant Institute of Mathematical Sciences
Keywords: lecture, notes, courant, equations, partial, differential, hyperbolic
Number of Pages: 217
Published: 2006-12-12
List price: $33.00
ISBN-10: 0821835769
ISBN-13: 9780821835760
The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory of elasticity, optics, electromagnetic waves, direct and inverse scattering, and the general theory of relativity. This book is an introduction to most facets of the theory and is an ideal text for a second-year graduate course on the subject. The first part deals with the basic theory: the relation of hyperbolicity to the finite propagation of signals, the concept and role of characteristic surfaces and rays, energy, and energy inequalities. The structure of sol
Author: Jürgen Moser and Eduard J. Zehnder
Publisher: American Mathematical Society, Courant Institute of Mathematical Sciences
Keywords: notes, lecture, courant, systems, dynamical
Number of Pages: 256
Published: 2005-12-09
List price: $36.00
ISBN-10: 0821835777
ISBN-13: 9780821835777
This book is an introduction to the field of dynamical systems, in particular, to the special class of Hamiltonian systems. The authors aimed at keeping the requirements of mathematical techniques minimal but giving detailed proofs and many examples and illustrations from physics and celestial mechanics. After all, the celestial $N$-body problem is the origin of dynamical systems and gave rise in the past to many mathematical developments. Jürgen Moser (1928-1999) was a professor at the Courant Institute, New York, and then at ETH Zurich. He served as president of the International Mathema
Authors:Hermann Brunner, Xiao-Qiang Zhao, Xingfu Zou,
Publisher: American Mathematical Society/Fields Institute for Research in Mathematical Sciences
Keywords: institute, communications, fields, equations, dynamics, evolution, nonlinear
Number of Pages: 311
Published: 2006-04-19
List price: $109.00
ISBN-10: 0821837214
ISBN-13: 9780821837214
The papers in this volume reflect a broad spectrum of current research activities on the theory and applications of nonlinear dynamics and evolution equations. They are based on lectures given during the International Conference on Nonlinear Dynamics and Evolution Equations at Memorial University of Newfoundland, St. John’s, NL, Canada, July 6-10, 2004. This volume contains thirteen invited and refereed papers. Nine of these are survey papers, introducing the reader to, and describing the current state of the art in major areas of dynamical systems, ordinary, functional and partial diffe
Author: Wayne Nagata and N. Sri Namachchivaya
Publisher: American Mathematical Society/Fields Institute for Research in Mathematical Sciences
Keywords: fields, institute, communications, formation, pattern, theory, spatio, temporal, bifurcation
Number of Pages: 177
Published: 2006-10-03
List price: $59.00
ISBN-10: 0821837257
ISBN-13: 9780821837252
Nonlinear dynamical systems and the formation of spatio-temporal patterns play an important role in current research on partial differential equations. This book contains articles on topics of current interest in applications of dynamical systems theory to problems of pattern formation in space and time. Topics covered include aspects of lattice dynamical systems, convection in fluid layers with large aspect ratios, mixed mode oscillations and canards, bacterial remediation of waste, gyroscopic systems, data clustering, and the second part of Hilbert’s 16th problem. Most of the book cons
Authors:Aad Dijksma, Heinz Langer, Michael A. Dritschel, J
Publisher: American Mathematical Society, Fields Institute
Keywords: institute, monographs, fields, applications, operator, theory, lectures
Number of Pages: 339
Published: 1995-12-13
List price: $114.00
ISBN-10: 082180457X
ISBN-13: 9780821804575
Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavor. A good example is the large and amorphous body of knowledge known as ``the theory of linear operators’’ or ``operator theory’’, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear o
