(Paperback)

In the words of B. B. Mandelbrot's contribution to this important collection of original papers, fractal geometry is a "new geometric language, which is geared towards the study of diverse aspects of diverse objects, either mathematical or natural, that are not smooth, but rough and fragmented to the same degree at all scales." This book will be of

(Paperback)

Focuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions.

(Paperback)

Traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. This book chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many others.

(Paperback)

This book considers problems arising the theory of differential equations. This book is not only intended for mathematicians specializing in the theory of differential equations or in probability theory but also for specialists in asymptotic methods and functional analysis.

(Paperback)

Geometry of orthogonal spaces.

(Paperback)

Measures and integrals

(Hardback)

(Paperback)

An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself. Many new results are presented. Originally published in 1954. The Princeton Legacy Library uses the latest print-on-demand technology to again

(Paperback)

A short, accessible textbook for students who are entering HE or FE courses and need to re-visit and develop school maths and gain confidence in it. The author explains the maths clearly through words and examples, not just pages of sums, and makes sure students put past anxieties about maths or gaps in their knowledge behind them.

(Paperback)

Traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form.

(Paperback)

"Fuzzy logic" is a way to program computers so that they can mimic the imprecise way that humans make decisions. This technology allows for many innovative applications, including cars that virtually drive themselves. This book traces the development of fuzzy logic.

(Paperback)

Fuzzy logic is the next wave in technology. Japanese electronics giants have, in the last ten years, already staked their commercial future on the benefits of fuzzy production; naturally, only recently have European and US companies begun to catch up. This book looks at fuzzy thinking.

(Paperback)

(Hardback)

Presents the author's approach to solving systems of polynomial equations in several variables. This book introduces the revolutionary notion of the "polynomial multiplier," which simplifies the problem of variable elimination by reducing it to a system of linear equations.

(Paperback)

A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and

(Hardback)

(Hardback)

Originally published in French as: Les origines de la gaeometrie: tiers livre des fondations / Michel Serres (Paris: Editions Julliard, 1993).

(Paperback)

One of the greatest revolutions in mathematics occurred when Georg Cantor promulgated his theory of transfinite sets. His religious beliefs led him to expect paradoxes in any concept of the infinite. This work shows that these played an integral part in his understanding and defense of set theory.

(Paperback)

Global analysis describes diverse yet interrelated research areas in analysis and algebraic geometry, particularly those in which Kunihiko Kodaira made his most outstanding contributions to mathematics. The eminent contributors to this volume, from Japan, the United States, and Europe, have prepared original research papers that illustrate the prog

(Hardback)

(Paperback)

(Hardback)

(Paperback)

It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S3. This work describes a function F of framed links in S3 and it is proven that F consistently defines an invariant, lamda (l), of closed oriented 3-manifolds. l is then expressed in terms of previously known invariants of 3-manifolds.

(Paperback)

This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of classes of equivalent curves joining A1 to A1. The c