(Hardback)

(Paperback)

Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.

(Paperback)

Offers an examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry. This book focuses on the spectral rigidity problem.

(Paperback)

The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), will be forthcoming.

(Paperback)

In a series of three papers published in 1930 and 1931, Paley and Zygmund 44 studied a variety of problems concerning series of independent random functions and raised the question of the uniform convergence a.s. of the random Fourier series.

(Hardback)

Addressing the topics of real analysis, this book discusses the elements of order theory, convex analysis, optimization, correspondences, linear and nonlinear functional analysis, fixed-point theory, dynamic programming, and calculus of variations. It includes fixed point theorems and applications to functional equations and optimization theory.

(Hardback)

This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students.

(Paperback)

(Hardback)

This volume answers the question, what does maths have to do with real life Up to 50 maths concepts are presented here, with multiple examples of how each concept is applied to tasks in everyday life, such as work and sport. It meets the National Mathematics Teachers Association standards.

(Paperback)

(Hardback)

(Paperback)

We shall study a notion of capacity for compact subsets of complex projective space. Our principal motivation for this comes from a theorem of Sibony and Wong 8 , Let K be a compact circled subset of the unit sphere in C2.

(Paperback)

Throughout the book, an approach to errors as opportunities for learning and inquiry will be developed and employed both as a means to create the kinds of instructional experiences advocated for school mathematics reform, and as a heuristic to invite reflections about school mathematics as well as mathematics as a discipline.

(Hardback)

Throughout the book, an approach to errors as opportunities for learning and inquiry will be developed and employed both as a means to create the kinds of instructional experiences advocated for school mathematics reform, and as a heuristic to invite reflections about school mathematics as well as mathematics as a discipline.

(Hardback)

(Paperback)

Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make

(Paperback)

Gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity.

(Paperback, Revised edition)

Offers a survey of representation theory of semisimple Lie groups. Suitable for both graduate students and researchers, this book states the theorems precisely, and gives many illustrative examples or classes of examples. It includes for the reader a useful 300-item bibliography and an extensive section of notes.

(Hardback)

Critique of research methods and methodology is one of several key features of the regular dialogue between researchers. The accounts and reactions are written to expose the nature of methodology of classroom research.

(Paperback)

This volume contains papers and abstracts by participants of the Conference on Riemann Surfaces and Related Topics, which was held at the State University of New York at Stony Brook, June 5-9, 1978.

(Paperback)

The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special charac

(Hardback)

(Paperback)

In this text the author looks at the work of Riemann, who in the 19th century contributed to the study of curved surfaces, or non-Euclidian geometry. Riemann's results later found application in physics, when Einstein introduced his theory of relativity.

(Paperback)

The author introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise.