Cantitate/Preț
Produs
Total produse
Vezi coșul
Stability Theory of Dynamical Systems de N.P. Bhatia

Stability Theory of Dynamical Systems: Classics in Mathematics

Autor N.P. Bhatia, G.P. Szegö
en Limba Engleză Paperback – 10 ian 2002
From the reviews:
"This is an introductory book intended for beginning graduate students or, perhaps advanced undergraduates. ... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
Mathematical Reviews, 1972
"The exposition is remarkably clear, definitions are separated explicitly, theorems are often provided together with the motivation for changing one or other hypothesis, as well as the relevance of certain generalisations... This study is an excellent review of the current situation for problems of stability of the solution of differential equations. It is addressed to all interested in non-linear differential problems, as much from the theoretical as from the applications angle."
Bulletin de la Société Mathématique de Belgique, 1975
Citește tot Restrânge

Din seria Classics in Mathematics

  • Practical Quantum Mechanics
    Preț: 40418 lei
  • The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients
    Preț: 40047 lei
  • Perturbation Theory for Linear Operators
    Preț: 40434 lei
  • Theory of Stein Spaces
    Preț: 41362 lei
  • Algebraic Topology - Homotopy and Homology
    Preț: 43004 lei
  • Introduction to Calculus and Analysis II/2: Chapters 5 - 8
    Preț: 42289 lei
  • Combinatorial Group Theory
    Preț: 41723 lei
  • Homology
    Preț: 42097 lei
  • C*-Algebras and W*-Algebras
    Preț: 41325 lei
  • An Introduction to the Geometry of Numbers
    Preț: 41723 lei
  • Introduction to Quadratic Forms
    Preț: 41441 lei
  • Lectures on Algebraic Topology
    Preț: 41890 lei
  • Algebraic Surfaces
    Preț: 41270 lei
  • Transformation Groups in Differential Geometry
    Preț: 40704 lei
  • The Theory of Stochastic Processes II
    Preț: 42890 lei
  • Geometric Measure Theory
    Preț: 43552 lei
  • Introduction to Calculus and Analysis II/1
    Preț: 43154 lei
  • Introduction to Calculus and Analysis I
    Preț: 43872 lei
  • The Theory of Stochastic Processes I
    Preț: 42928 lei
  • Hamiltonian Methods in the Theory of Solitons
    Preț: 49924 lei
  • Topological Methods in Algebraic Geometry: Reprint of the 1978 Edition
    Preț: 41041 lei
  • Functional Analysis
    Preț: 42795 lei
  • Number Theory
    Preț: 43739 lei
  • Problems and Theorems in Analysis I: Series. Integral Calculus. Theory of Functions
    Preț: 42192 lei
  • Lectures on Celestial Mechanics
    Preț: 41346 lei
  • Finite Geometries: Reprint of the 1968 Edition
    Preț: 42044 lei
  • Combinatorial Theory
    Preț: 42289 lei
  • Classical Potential Theory and Its Probabilistic Counterpart
    Preț: 44816 lei
  • Problems and Theorems in Analysis II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry
    Preț: 42134 lei
  • Classical Banach Spaces I and II: Sequence Spaces and Function Spaces
    Preț: 49450 lei
  • The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis
    Preț: 42458 lei
  • Algebraic Geometry I: Complex Projective Varieties
    Preț: 40966 lei
  • Diffusion Processes and their Sample Paths
    Preț: 41949 lei
  • The Analysis of Linear Partial Differential Operators IV: Fourier Integral Operators
    Preț: 41873 lei
  • Einstein Manifolds
    Preț: 42869 lei
  • K-Theory: An Introduction
    Preț: 41723 lei
  • Multiple Integrals in the Calculus of Variations
    Preț: 42945 lei
  • Probability in Banach Spaces: Isoperimetry and Processes
    Preț: 42671 lei
  • Multidimensional Diffusion Processes
    Preț: 40861 lei
  • Function Theory in the Unit Ball of Cn
    Preț: 42380 lei
  • The Theory of Stochastic Processes III
    Preț: 42097 lei
  • Complex Manifolds and Deformation of Complex Structures
    Preț: 42647 lei
  • Entropy, Large Deviations, and Statistical Mechanics
    Preț: 42005 lei
  • Interacting Particle Systems
    Preț: 42833 lei
  • The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators
    Preț: 42987 lei
  • Elliptic Partial Differential Equations of Second Order
    Preț: 40227 lei

Preț: 47530 lei

Nou

Puncte Express: 713
Preț estimativ în valută:
9096€ • 9449$ • 7556£

Carte tipărită la comandă

Livrare economică 03-17 februarie 25

 Adaugă în coș

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

Specificații

ISBN-13: 9783540427483
ISBN-10: 3540427481
Pagini: 244
Ilustrații: XII, 225 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.35 kg
Ediția:Softcover reprint of the original 1st ed. 2002
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Classics in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

I. Dynamical Systems.- 1. Definition and Related Notation.- 2. Examples of Dynamical Systems.- Notes and References.- II. Elementary Concepts.- 1. Invariant Sets and Trajectories.- 2. Critical Points and Periodic Points.- 3. Trajectory Closures and Limit Sets.- 4. The First Prolongation and the Prolongational Limit Set.- Notes and References.- III. Recursive Concepts.- 1. Definition of Recursiveness.- 2. Poisson Stable and Non-wandering Points.- 3. Minimal Sets and Recurrent Points.- 4. Lagrange Stability and Existence of Minimal Sets.- Notes and References.- IV. Dispersive Concepts.- 1. Unstable and Dispersive Dynamical Systems.- 2. Parallelizable Dynamical Systems.- Notes and References.- V. Stability Theory.- 1. Stability and Attraction for Compact Sets.- 2. Liapunov Functions: Characterization of Asymptotic Stability.- 3. Topological Properties of Regions of Attraction.- 4. Stability and Asymptotic Stability of Closed Sets.- 5. Relative Stability Properties.- 6. Stability of a Motion and Almost Periodic Motions.- >Notes and References.- V. Flow near a Compact Invariant Set.- 1. Description of Flow near a Compact Invariant Set.- 2. Flow near a Compact Invariant Set (Continued).- Notes and References.- VII. Higher Prolongations.- 1. Definition of Higher Prolongations.- 2. Absolute Stability.- 3. Generalized Recurrence.- Notes and References.- VIII. ?1-Liapunov Functions for Ordinary Differential Equations.- 1. Introduction.- 2. Preliminary Definitions and Properties.- 3. Local Theorems.- 4. Extension Theorems.- 5. The Structure of Liapunov Functions.- 6. Theorems Requiring Semidefinite Derivatives.- 7. On the Use of Higher Derivatives of a Liapunov Function.- Notes and References.- IX. Non-continuous Liapunov Functions for Ordinary Differential Equations.- 1.Introduction.- 2. A Characterization of Weak Attractors.- 3. Piecewise Differentiable Liapunov Functions.- 4. Local Results.- 5. Extension Theorems.- 6. Non-continuous Liapunov Functions on the Region of Weak Attraction.- Notes and References.- References.- Author Index.

Recenzii

From the reviews:
"The book presents a systematic treatment of the theory of dynamical systems and their stability written at the graduate and advanced undergraduate level. … The book is well written and contains a number of examples and exercises." (Alexander Olegovich Ignatyev, Zentralblatt MATH, Vol. 993 (18), 2002)

Notă biografică

Biography of Nam Parshad Bhatia
Born in Lahore, India (now Pakistan) in 1932, Dr. Nam P. Bhatia studied physics and mathematics at Agra University. He then went to Germany and completed a doctorate in applied mathematics in Dresden in 1961.
After returning to India briefly, he came to the United States in 1962 at the invitation of Solomon Lefschetz. In the US, Dr. Bhatia held research and teaching positions at the Research Institute of Advanced Studies, Baltimore, MD, Case Western Reserve University, Cleveland, OH, and the University of Maryland Baltimore County (UMBC). He was instrumental in developing the graduate programmes in Applied Mathematics, Computer Science, and Statistics at UMBC.
Dr. Bhatia is currently Professor Emeritus at UMBC where he continues to pursue his research interests, which include the general theory of Dynamical and Semi-Dynamical  Systems with emphasis on Stability, Instability, Chaos, and Bifurcations.
 
Biography of Giorgio P. Szegö
Giorgio Szegö was born in Rebbio, Italy, on July 10, 1934. After his studies at the University of Pavia and at the Technische Hochschule Darmstadt, he joined the Research Institute of Advanced Studies in Baltimore in 1961.
From 1964 he held positions at the universities of Milano and Venice as well as several universities and research institutions in France, Spain, UK, and USA. He is currently Professor at the University of Roma "La Sapienza". Szegö's research contributions range from stability theory of ordinary differential equations to optimization theory.

Caracteristici

Includes supplementary material: sn.pub/extras