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Topologia differenziale

Topologia differenziale PDF Author: E. Vesentini
Publisher: Springer Science & Business Media
ISBN: 3642109888
Category : Mathematics
Languages : fr
Pages : 122

Book Description
J. Cerf: Invariants des paires d ́espaces. Applications à la topologie differentielle.- A. Häfliger: Variétés feuilletées.- M.A. Kervaire: La méthode de Pontryagin pour la classification des applications sur une sphère.- S. Smale: Stable manifolds for differential equations and diffeomorphisms.

Topologia differenziale

Topologia differenziale PDF Author: E. Vesentini
Publisher: Springer Science & Business Media
ISBN: 3642109888
Category : Mathematics
Languages : fr
Pages : 122

Book Description
J. Cerf: Invariants des paires d ́espaces. Applications à la topologie differentielle.- A. Häfliger: Variétés feuilletées.- M.A. Kervaire: La méthode de Pontryagin pour la classification des applications sur une sphère.- S. Smale: Stable manifolds for differential equations and diffeomorphisms.

Algebraic Cycles and Hodge Theory

Algebraic Cycles and Hodge Theory PDF Author: Mark L. Green
Publisher: Springer
ISBN: 3540490469
Category : Mathematics
Languages : en
Pages : 281

Book Description
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Theory of Moduli

Theory of Moduli PDF Author: Edoardo Sernesi
Publisher: Springer
ISBN: 3540459200
Category : Mathematics
Languages : en
Pages : 243

Book Description
The contributions making up this volume are expanded versions of the courses given at the C.I.M.E. Summer School on the Theory of Moduli.

Enumerative Invariants in Algebraic Geometry and String Theory

Enumerative Invariants in Algebraic Geometry and String Theory PDF Author: Marcos Marino
Publisher: Springer
ISBN: 3540798145
Category : Mathematics
Languages : en
Pages : 219

Book Description
Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.

Stochastic Methods in Finance

Stochastic Methods in Finance PDF Author: CIME-EMS Summer School
Publisher: Springer Science & Business Media
ISBN: 9783540229537
Category : Finance
Languages : en
Pages : 328

Book Description


Pseudo-Differential Operators

Pseudo-Differential Operators PDF Author: Hans G. Feichtinger
Publisher: Springer
ISBN: 3540682686
Category : Mathematics
Languages : en
Pages : 235

Book Description
Pseudo-differential operators were initiated by Kohn, Nirenberg and Hörmander in the sixties of the last century. Beside applications in the general theory of partial differential equations, they have their roots also in the study of quantization first envisaged by Hermann Weyl thirty years earlier. Thanks to the understanding of the connections of wavelets with other branches of mathematical analysis, quantum physics and engineering, such operators have been used under different names as mathematical models in signal analysis since the last decade of the last century. The volume investigates the mathematics of quantization and signals in the context of pseudo-differential operators, Weyl transforms, Daubechies operators, Wick quantization and time-frequency localization operators. Applications to quantization, signal analysis and the modern theory of PDE are highlighted.

Dynamical Systems

Dynamical Systems PDF Author: Ludwig Arnold
Publisher: Springer
ISBN: 3540494154
Category : Mathematics
Languages : en
Pages : 336

Book Description
This volume contains the lecture notes written by the four principal speakers at the C.I.M.E. session on Dynamical Systems held at Montecatini, Italy in June 1994. The goal of the session was to illustrate how methods of dynamical systems can be applied to the study of ordinary and partial differential equations. Topics in random differential equations, singular perturbations, the Conley index theory, and non-linear PDEs were discussed. Readers interested in asymptotic behavior of solutions of ODEs and PDEs and familiar with basic notions of dynamical systems will wish to consult this text.

Optimal Transportation and Applications

Optimal Transportation and Applications PDF Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
ISBN: 9783540401926
Category : Mathematics
Languages : en
Pages : 184

Book Description
Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.

Multiscale Problems and Methods in Numerical Simulations

Multiscale Problems and Methods in Numerical Simulations PDF Author: James H. Bramble
Publisher: Springer Science & Business Media
ISBN: 9783540200994
Category : Mathematics
Languages : en
Pages : 184

Book Description
This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant "scales" in a physical phenomenon; the detection and representation of "structures", localized in space or in frequency, in the solution of a mathematical model; the decomposition of a function into "details" that can be organized and accessed in decreasing order of importance; and the iterative solution of systems of linear algebraic equations using "multilevel" decompositions of finite dimensional spaces.

Phase Transitions and Hysteresis

Phase Transitions and Hysteresis PDF Author: Augusto Visintin
Publisher: Springer
ISBN: 354048678X
Category : Mathematics
Languages : en
Pages : 301

Book Description
1) Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques. 2) Hysteresis Phenomena. Some alloys exhibit shape memory effects, corresponding to a stress-strain relation which strongly depends on temperature; mathematical physical aspects are treated in Müller's paper. In a general framework, hysteresis can be described by means of hysteresis operators in Banach spaces of time dependent functions; their properties are studied by Brokate. 3) Numerical analysis. Several models of the phenomena above can be formulated in terms of nonlinear parabolic equations. Here Verdi deals with the most updated approximation techniques.