Lawrence Sirovich will turn seventy on March 1, 2003. Larry's academic life of over 45 years at the Courant Institute, Brown University, Rockefeller University and the Mount Sinai School of Medicine has touched many peo­ ple and several disciplines, from fluid dynamics to brain theory. His con­ tributions to the kinetic theory of gases, methods of applied mathematics, theoretical fluid dynamics, hydrodynamic turbulence, the biophysics of vi­ sion and the dynamics of neuronal populations, represent the creative work of an outstanding scholar who was stimulated mostly by insatiable curios­ ity. As a scientist, Larry has consistently offered fresh outlooks on classical and difficult subjects, and moved into new fields effortlessly. He delights in what he knows and does, and sets no artificial boundaries to the range of his inquiry. Among the more than fifty or so Ph. D. students and post­ docs that he has mentored, many continue to make first-rate contributions themselves and hold academic positions in the US and elsewhere. Larry's scientific collaborators are numerous and distinguished. Those of us who have known him well will agree that Larry's charm, above all, is his taste, wit, and grace under fire. Larry has contributed immensely to mathematics publishing. He be­ gan his career with Springer by founding the Applied Mathematical Sci­ ences series together with Fritz John and Joe LaSalle some 30 years ago. Later he co-founded the Texts in Applied Mathematics series and more re­ cently the Interdisciplinary Applied Mathematics series.

Product Description: A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering...read more

Product Description: This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices...read more

Product Description: Includes solutions to selected exercises and study hints.

This acclaimed course in the calculus of functions of several variables and vector analysis is aimed mainly at second-year undergraduates. Marsden and Tromba provide a concrete, student-oriented text that fosters computational skills and intuitive understanding. The Fourth Edition maintains the balance between theory, applications, optional materials and historical notes present in earlier editions, but has been refined throughout. "This is a superbly produced book, whose clear and orderly presentation and informative diagrams immediately invite closer study ...The best way to evaluate a textbook is to teach from it, and it is clear from the companion study guide by Pao and Soon that it has passed this test." The Mathematical Gazette Supplements: Student Guide/Instructor's Manual

Product Description: This book explores connections between control theory and geometric mechanics. The author links control theory with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations, and in particular with the theory of mechanical systems subject to motion constraints...read more (view table of contents, read Amazon.com's description)

(view table of contents)

Product Description: This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a way that allows the reduction process to be repeated; that is, it develops a context for Lagrangian reduction by stages. The Lagrangian reduction procedure focuses on the geometry of variational structures and how to reduce them to quotient spaces under group actions...read more

Product Description: The guide contains solutions to exercises marked with a bullet in the text.

Product Description: This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over - including several from 'Arnold's school' - gave illuminating talks and lively poster sessions...read more (view table of contents, read Amazon.com's description)

(view table of contents)

Designed as a companion to Basic Multivariable Calculus by Marsden, Tromba, and Weinstein. This book parallels the textbook and reinforces the concepts introduced there with exercises, study hints, and quizzes. Detailed solutions to problems and mock examinations are also included.

Product Description: The guide contains solutions to exercises marked with a bullet in the text.

Product Description: Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics...read more