Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Topology --- Homotopy theory. --- Homotopie. --- Homotopy theory --- Deformations, Continuous

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." Zentralblatt für Mathematik und Ihre Grenzgebiete, 1991 "...which I read like a novel and undoubtedly will become a classic. ... A merit of the book under review is that it contains several important articles from journals which are not all so easily accessible. ... Furthermore, at the end of the book, there are some Notes by the author which are indispensable for the necessary historical background information. ... This valuable book should be on the shelf of every algebraist and algebraic geometer." Nieuw Archief voor Wiskunde, 1992 "... There are few proofs in full, but there is an exhilarating combination of sureness of foot and lightness of touch in the exposition ... which transports the reader effortlessly across the whole spectrum of algebra.... The challenge to Ezekiel, "Can these bones live?" is, all too often, the reaction of students when introduced to the bare bones of the concepts and constructs of modern algebra. Shafarevich's book - which reads as comfortably as an extended essay - breathes life into the skeleton and will be of interest to many classes of readers..." The Mathematical Gazette, 1991 "... According to the preface, the book is addressed to "students of mathematics in the first years of an undergraduate course, or theoretical physicists or mathematicians from outside algebra wanting to get an impression of the spirit of algebra and its place in mathematics." I think that this promise is fully justified. The beginner, the experts and also the interested scientist who had contact with algebraic notions - all will read this exceptional book with great pleasure and benefit." Zeitschrift für Kristallographie, 1991.

Algebra. --- Mathematics. --- Math --- Science --- Mathematics --- Mathematical analysis --- Algebra --- Topological Groups. --- K-theory. --- Topological Groups, Lie Groups. --- K-Theory. --- Algebraic topology --- Homology theory --- Groups, Topological --- Continuous groups --- Topological groups. --- Lie groups. --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col­ lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.

Lie groups --- Geometry --- Groupes de Lie --- Géométrie --- 514.747 --- 512.81 --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Mathematics --- Euclid's Elements --- Geometric objects. Representations of Lie groups. Lie differentiation --- 512.81 Lie groups --- 514.747 Geometric objects. Representations of Lie groups. Lie differentiation --- Géométrie --- Geometry. --- Topological groups. --- Lie groups. --- Topological Groups, Lie Groups. --- Groups, Topological --- Continuous groups

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Differential geometry. Global analysis --- Chaotic behavior in systems. --- Chaotic behavior in systems --- Mathematical Theory --- Sciences - General --- Mathematics --- Physical Sciences & Mathematics --- Chaos in systems --- Chaotic motion in systems --- Chaotisch gedrag in de systemen --- Comportement chaotique dans les systèmes --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Dynamics. --- Ergodic theory. --- Global Analysis and Analysis on Manifolds. --- Dynamical Systems and Ergodic Theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Geometry, Differential --- Topology --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Chaos theory --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.

517.987 --- Boundary value problems --- Differentiable dynamical systems --- Nonlinear theories --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Boundary conditions (Differential equations) --- Functions of complex variables --- Initial value problems --- Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Boundary value problems. --- Differentiable dynamical systems. --- Nonlinear theories. --- 517.987 Measures. Representations of Boolean algebras. Metric theory of dynamic systems --- Topological groups. --- Lie groups. --- Mathematical analysis. --- Analysis (Mathematics). --- Statistical physics. --- Dynamical systems. --- Topological Groups, Lie Groups. --- Analysis. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- 517.1 Mathematical analysis --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groups, Topological --- Continuous groups --- Statistical methods --- Data processing.