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(Hardback)

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

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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.

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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

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(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.

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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

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(Paperback)

Boost math scores with this unique approach that is guaranteed to get kids out onto the playing field of mathematics. Based on the new NCTM and AASL standards, this book helps students explore math concepts through activities based on sports themes.

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Focusing on graph theoretic methods for the analysis and synthesis of dynamic multiagent networks, this book presents a powerful formalism and set of tools for networked systems. It covers topics such as formation control, coverage, distributed estimation, social networks, and games over networks.

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Presents an overview of the developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. This book emphasises on so-called 'non-perturbative' methods and the role of subharmonic function theory and semi-algebraic set methods.

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Develops, explains, and applies diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. This book takes readers on a four-thousand-diagram journey through the theory of Lie groups.

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(Paperback)

(Hardback)

Offers an account of cocyclic Hadamard matrices and their applications in signal and data processing. This work translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use.

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(Hardback)

Contains an exposition of some of the main developments in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, and relations of curvature to maximal inequalities.

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Presents a study of harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. This book covers the material which displays an interplay involving geometry, analysis and topology. It includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.

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Explains how scientists who study complexity are convinced that certain constant processes are at work in all kinds of unrelated complex systems.

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Introduces students to the link between abstract concepts in Algebra I and real-world applications.

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Introduces students to the link between abstract concepts in Algebra II and real-world applications.