Mathematical Methods of Classical Mechanics V. I. ArnoldThis book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.Elements De Mathematique: Livre III Topologie Generale N. BourbakiTheory of Sets N. BourbakiThis is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Théorie des Ensembles (1970).Theories spectrales, Chapitres 1 et 2: Algebres normees- Groupes localement compacts commutatifs Nicolas BourbakiTheorie Elementaire des Fonctions Analytiques d une ou Plusieurs Variables Complexes 1961 Henri CartanCours de calcul differentiel Henri Paul CartanUniversal Algebra P. M. CohnElements d'analyse Jean Alexandre DieudonneTOPOLOGY James DugundjiTopological Vector Spaces I Gottfried Kothe; Translator D.J.H. GarlingChaos: Making a New Science James GleickJames Gleick explains the theories behind the fascinating new science called chaos. Alongside relativity and quantum mechanics, it is being hailed as the twentieth century's third revolution. 8 pages of photos.Elements de topologie algebrique. Deuxieme cycle Claude GodbillonCours d'Algèbre Roger GodementTopological Vector Spaces and Distributions, Volume I. John HorvathLECTURES IN ABSTRACT ALGEBRA: VOL. I, BASIC CONCEPTS Nathan JacobsonLECTURES IN ABSTRACT ALGEBRA: VOL. II, LINEAR ALGEBRA Nathan JacobsonAnalysis I Serge LangBook by Lang, SergePlurisubharmonic functions and positive differential forms Pierre LelongTopological Methods in Euclidean Spaces Gregory L. Naber, MathematicsExtensive development of a number of topics central to topology, including elementary combinatorial techniques, Sperner's Lemma, the Brouwer Fixed Point Theorem, homotopy theory and the fundamental group, simplicial homology theory, the Hopf Trace Theorem, the Lefschetz Fixed Point Theorem, the Stone-Weierstrass Theorem, and Morse functions. Includes new section of solutions to selected problems.Topology of Spaces of Holomorphic Mappings. Leopoldo NachbinReal and Complex Analysis (McGraw-Hill International Editions: Mathematics Series) Walter RudinTopology; Horst SchubertThéorie des distributions. Troisième cycle et recherche Laurent SchwartzInjective Modules SharpeIn the preface of this book, the authors express the view that 'a good working knowledge of injective modules is a sound investment for module theorists'. The existing literature on the subject has tended to deal with the applications of injective modules to ring theory. The aim of this tract is to demonstrate some of the applications of injective modules to commutative algebra. A number of well-known concepts and results which so far have been applicable principally to commutative rings are generalized to a non-commutative context. There are exercises and brief notes appended to each chapter to illustrate and extend the scope of the treatment in the main text. Together with the short bibliography the notes form a guide to sources of reading for students and researchers who wish to delve more exhaustively into the theory of injective modules. The tract is intended primarily for those who have some knowledge of the rudiments of commutative algebra, although these are recalled at the outset.Introduction to Topology and Modern Analysis George F. SimmonsThis material is intended to contribute to a wider appreciation of the mathematical words "continuity and linearity". The book's purpose is to illuminate the meanings of these words and their relation to each other.Lectures on Differential Geometry Sholomo SternbergThis is a collection of lectures about differential geometry.Introduction to Functional Analysis angus taylortopologie algebrique u ZISMAN |