Cantitate/Preț
Produs
Total produse
Vezi coșul
Hamiltonian Structures and Generating Families de Sergio Benenti

Hamiltonian Structures and Generating Families: Universitext

Autor Sergio Benenti
en Limba Engleză Paperback – 8 sep 2011
This book is an enhanced version of an earlier Russian edition. Besides thorough revisions, more emphasis was put on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier and elegant way.
From the reviews of the Russian edition:

"The main accent is shifted to the application . . . in geometrical optics, thermostatics and control theory, and not to the Hamiltonian mechanics only. . . . To make the book fairly self-contained, full details of basic definitions and all proofs are included. In this way, the majority of the text can be read without the prerequisite of a course in geometry. The excellent collection of examples illustrates the relatively hard and highly abstract mathematical theory and its hidden difficulties. . . . The book can rise real interest for specialists . . . .  The . . . book is a significant input in the modern symplectic geometry and its applications."
(Andrey Tsiganov, St. Petersburg State University)
Citește tot Restrânge

Din seria Universitext

  • 17% Probability Essentials
    Preț: 36180 lei
  • Functional Analysis: An Introductory Course
    Preț: 41164 lei
  • Convex and Stochastic Optimization
    Preț: 45781 lei
  • 17% Algebraic Geometry and Commutative Algebra
    Preț: 36600 lei
  • 17% Logic and Structure
    Preț: 39441 lei
  • 15% Fundamentals of Functional Analysis
    Preț: 72504 lei
  • Groups and Symmetries: From Finite Groups to Lie Groups
    Preț: 35246 lei
  • 17% Around the Unit Circle: Mahler Measure, Integer Matrices and Roots of Unity
    Preț: 36456 lei
  • 15% Mathematical Analysis II
    Preț: 49721 lei
  • Stochastic Partial Differential Equations: An Introduction
    Preț: 62372 lei
  • Differential Geometry and Homogeneous Spaces
    Preț: 36093 lei
  • 17% Sheaves in Geometry and Logic: A First Introduction to Topos Theory
    Preț: 43150 lei
  • A Course in the Calculus of Variations: Optimization, Regularity, and Modeling
    Preț: 39888 lei
  • 15% Probability Theory: A Comprehensive Course
    Preț: 53464 lei
  • 17% Probability: An Introduction Through Theory and Exercises
    Preț: 36373 lei
  • Real Algebra: A First Course
    Preț: 39653 lei
  • 15% Submanifold Theory: Beyond an Introduction
    Preț: 54404 lei
  • Knots and Primes: An Introduction to Arithmetic Topology
    Preț: 38052 lei
  • A Fixed-Point Farrago
    Preț: 66212 lei
  • 15% Representation Theory of Finite Monoids
    Preț: 50102 lei
  • 17% Introduction to Matrix Analysis and Applications
    Preț: 42732 lei
  • 17% Introduction to the Theory of Lie Groups
    Preț: 42676 lei
  • 17% Ordinary Differential Equations
    Preț: 42768 lei
  • 20% Cohomology of Sheaves
    Preț: 56954 lei
  • Stochastic Analysis for Finance with Simulations
    Preț: 35677 lei
  • 17% An Introduction to Homological Algebra
    Preț: 36906 lei
  • 17% Functional Analysis for the Applied Sciences
    Preț: 36481 lei
  • Discrete Stochastic Processes and Applications
    Preț: 47977 lei
  • 20% Geometric and Analytic Number Theory
    Preț: 62822 lei
  • Stochastic Differential Equations: An Introduction with Applications
    Preț: 39977 lei
  • Number Fields
    Preț: 28894 lei
  • Probability Theory: An Advanced Course
    Preț: 37351 lei
  • Differential Forms and Applications
    Preț: 43841 lei
  • Topics in Complex Analysis
    Preț: 37596 lei
  • 15% Algebraic Surfaces and Holomorphic Vector Bundles
    Preț: 52475 lei
  • 15% Matrix Groups
    Preț: 48768 lei
  • 15% Theory of Probability and Random Processes
    Preț: 46684 lei
  • Heights of Polynomials and Entropy in Algebraic Dynamics
    Preț: 38318 lei
  • Techniques of Constructive Analysis
    Preț: 47598 lei
  • 15% Understanding and Using Linear Programming
    Preț: 46159 lei
  • 15% A Course in Constructive Algebra
    Preț: 63264 lei
  • Abstract Linear Algebra
    Preț: 40806 lei
  • 15% Numerical Treatment of Partial Differential Equations
    Preț: 59212 lei
  • 20% Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry
    Preț: 50167 lei
  • 15% A Short Course on Operator Semigroups
    Preț: 57846 lei
  • Mathematical Modeling for the Life Sciences
    Preț: 37521 lei
  • Numerical Solution of SDE Through Computer Experiments
    Preț: 48166 lei
  • Geometry
    Preț: 48563 lei
  • 20% Frontiers of Numerical Analysis: Durham 2004
    Preț: 32668 lei

Preț: 38034 lei

Nou

Puncte Express: 571
Preț estimativ în valută:
7281€ • 7569$ • 6037£

Carte tipărită la comandă

Livrare economică 07-21 februarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781461414988
ISBN-10: 1461414989
Pagini: 274
Ilustrații: XIV, 258 p. 50 illus.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.39 kg
Ediția:2012
Editura: Springer
Colecția Springer
Seria Universitext

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

Preface.- Basic Notions of Calculus on Manifolds.- Relations.- Symplectic Relations on Symplectic Manifolds.- Symplectic Relations on Cotangent Bundles.- Canonical Lift on Cotangent Bundles.-The Geometry of the Hamilton-Jacobi Equation.- Hamiltonian Optics in Euclidean Spaces.- Control of Static Systems.- Supplementary Topics.- Global Hamilton Principal Functions on S2 and H2.- References.- Index.

Recenzii

From the reviews:
“This book gives the basic definitions and results as well as some physical instances where the theory is applied, of Hamiltonian systems in terms of Lagrangian submanifolds and their generating families. … This new work gives an improved presentation of the theoretical part and deeper developments of its applications. … This book is aimed at both undergraduate and graduate students … in Algebra and Geometry. … Specialists will also find a nice reference in this book … .” (Marco Castrillon Lopez, The European Mathematical Society, May, 2013)
 
“The book under review is an enhanced version of a first edition in Russian; it deals with Hamiltonian structures that are often encountered in mathematical models of different physical phenomena. … The reader can find substantial bibliography and a detailed index at the end. The book is well organized, the exposition is rigorous and clear. It should attract interest of graduate students and researchers interested in the modern symplectic geometry and its applications.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1233, 2012)
"…In this book the main accent is shifted to the application of modern mathematical methods of symplectic geometry and topology in geometrical optics, thermostatics and control theory, and not to the Hamiltonian mechanics only. … To make the book fairly self-contained, full details of basic definitions and all proofs are included. In this way, the majority of the text can be read without the prerequisite of a course in geometry. The excellent collection of examples illustrates the relatively hard and highly abstract mathematical theory and its hidden difficulties. …The book can rise real interest for specialists, as the presentation follows the best classical traditions of Italian geometric school (Levi-Civita, etc) and differs from the style of Russian mathematics. The … book is a significant input in the modernsymplectic geometry and its applications…” (Andrey Tsiganov, St. Petersburg State University)

Notă biografică

Sergio Benenti is a professor of mathematical physics at Università di Torino, Italy. His current fields of research include symplectic geometry with applications to physical theories, Riemannian geometry with applications to the theory of the separation of variables in the Hamilton-Jacobi equation and in other relevant differential equations of physics, and mathematical models of the dynamics of non-holonomic systems.

Textul de pe ultima copertă

This book is an enhanced version of an earlier Russian edition. Besides thorough revisions, more emphasis was put on reordering the topics according to a category-theoretical view. This allows the mathematical results to be stated, proved, and understood in a much easier and elegant way.
From the reviews of the Russian edition:

"The main accent is shifted to the application . . . in geometrical optics, thermostatics and control theory, and not to the Hamiltonian mechanics only. . . . To make the book fairly self-contained, full details of basic definitions and all proofs are included. In this way, the majority of the text can be read without the prerequisite of a course in geometry. The excellent collection of examples illustrates the relatively hard and highly abstract mathematical theory and its hidden difficulties. . . . The book can rise real interest for specialists . . . .  The . . . book is a significant input in the modern symplectic geometry and its applications."
(Andrey Tsiganov, St. Petersburg State University)
Sergio Benenti is a professor of mathematical physics at Università di Torino, Italy. His current fields of research include symplectic geometry with applications to physical theories, Riemannian geometry with applications to the theory of the separation of variables in the Hamilton-Jacobi equation and in other relevant differential equations of physics, and mathematical models of the dynamics of non-holonomic systems.

Caracteristici

Enhanced version of Russian first edition Focuses on Hamiltonian mechanics, as well as the application of modern mathematical methods of symplectic geometry and topology in geometrical optics, thermostatics and control theory Self-contained with full details of basic notions of calculus on manifolds in the first two chapters Includes supplementary material: sn.pub/extras