Cantitate/Preț
Produs
Total produse
Vezi coșul
Ordinary Differential Equations with Applications de Carmen Chicone

Ordinary Differential Equations with Applications: Texts in Applied Mathematics

Autor Carmen Chicone
en Limba Engleză Hardback – 20 mai 2024
This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincaré-Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the Grobman–Hartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunov’s center theorem. New sections present discussions of global bifurcation, the Crandall–Rabinowitz theorem, and Alekseev’s formula. Of particular note is a new chapter on basic control theory, a discussion of optimal control, and a proof of a useful special case of the maximum principle. A key feature of earlier editions, a wide selection of original exercises, is respected in this edition with the inclusion of a wealth of new exercises. 

Reviews of the first edition:

“As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.”—F. Verhulst, SIAM Review 

“The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.”—D. S. Shafer, Mathematical Reviews

Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 52418 lei  6-8 săpt.
  Springer – 23 noi 2010 52418 lei  6-8 săpt.
Hardback (1) 47094 lei  3-5 săpt. +6154 lei  10-14 zile
  Springer – 20 mai 2024 47094 lei  3-5 săpt. +6154 lei  10-14 zile

Din seria Texts in Applied Mathematics

  • 17% An Introduction to Partial Differential Equations
    Preț: 53500 lei
  • 19% Differential Equations and Dynamical Systems
    Preț: 48772 lei
  • 17% An Introduction to the Modern Martingale Theory and Applications
    Preț: 39412 lei
  • 15% An Introduction to Mathematical Epidemiology
    Preț: 49959 lei
  • 15% Applied Numerical Methods for Partial Differential Equations
    Preț: 39189 lei
  • 15% Introduction to Applied Mathematics
    Preț: 57183 lei
  • 17% Differential Equations and Their Applications: An Introduction to Applied Mathematics
    Preț: 39886 lei
  • The Mathematical Theory of Finite Element Methods
    Preț: 47595 lei
  • 19% Introduction to Mechanics and Symmetry
    Preț: 54746 lei
  • 17% Introduction to Applied Nonlinear Dynamical Systems and Chaos
    Preț: 53972 lei
  • 15% Introduction to Optimization
    Preț: 48448 lei
  • 15% Introduction to Uncertainty Quantification
    Preț: 53213 lei
  • An Introduction to Optimal Control Theory: The Dynamic Programming Approach
    Preț: 44610 lei
  • Finite Elements III
    Preț: 41575 lei
  • 15% Stochastic Processes and Applications
    Preț: 48985 lei
  • Finite Elements II
    Preț: 42623 lei
  • 19% An Introduction to Applied Probability
    Preț: 46979 lei
  • 19% An Introduction to Modeling Neuronal Dynamics
    Preț: 48826 lei
  • 15% Theoretical Numerical Analysis
    Preț: 63996 lei
  • Introduction to the Theory of Stability
    Preț: 38413 lei
  • Data Assimilation
    Preț: 40164 lei
  • 15% Mathematical Control Theory
    Preț: 49425 lei
  • Finite Elements I
    Preț: 40358 lei
  • 15% Nodal Discontinuous Galerkin Methods
    Preț: 63395 lei
  • 19% Numerical Methods for Elliptic and Parabolic Partial Differential Equations
    Preț: 61840 lei
  • Numerical Linear Algebra
    Preț: 43818 lei
  • Modeling and Simulation in Medicine and the Life Sciences
    Preț: 47338 lei
  • 15% Introduction to Numerical Analysis
    Preț: 58343 lei
  • Growth and Diffusion Phenomena: Mathematical Frameworks and Applications
    Preț: 39081 lei
  • 15% Concurrent Scientific Computing
    Preț: 51405 lei
  • 18% Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems
    Preț: 118504 lei
  • Understanding Nonlinear Dynamics
    Preț: 38878 lei
  • Introduction to Perturbation Methods
    Preț: 44610 lei
  • 15% An Introduction to Infinite-Dimensional Linear Systems Theory
    Preț: 63670 lei
  • 15% Numerical Partial Differential Equations: Finite Difference Methods
    Preț: 49204 lei
  • Partial Differential Equations: Basic Theory
    Preț: 38950 lei
  • 15% Analytical and Computational Methods of Advanced Engineering Mathematics
    Preț: 70448 lei

Preț: 47094 lei

Preț vechi: 55405 lei
-15% Nou

Puncte Express: 706
Preț estimativ în valută:
8334€ • 9772$ • 7319£

Carte disponibilă

Livrare economică 24 ianuarie-07 februarie
Livrare express 13-17 ianuarie pentru 7153 lei

 Adaugă în coș

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

Specificații

ISBN-13: 9783031516511
ISBN-10: 3031516516
Pagini: 752
Ilustrații: XXII, 729 p. 76 illus.
Dimensiuni: 160 x 241 x 43 mm
Greutate: 1.41 kg
Ediția:Third Edition 2024
Editura: Springer
Seria Texts in Applied Mathematics

Locul publicării:Cham, Switzerland

Cuprins

Ordinary Differential Equations.- Linear Systems and Stability of Nonlinear Systems.- Applications.- Hyperbolic Theory.- Continuation of Periodic Solutions.- Homoclinic Orbits, Melnikov’s Method, and Chaos.- Averaging.- Local Bifurcation.

Notă biografică

Carmen Chicone is an emeritus professor of mathematics at the University of Missouri. He has authored two books, coauthored a third, and published over 100 research articles. His recent research interests are in the qualitative theory of ordinary and partial differential equations, applications of differential equations to mathematical models in science and engineering, and the development of numerical methods to obtain viable predictions from physically realistic model problems.

Textul de pe ultima copertă

This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincaré–Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the Grobman–Hartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunov’s center theorem. New sections present discussions of global bifurcation, the Crandall–Rabinowitz theorem, and Alekseev’s formula. Of particular note is a new chapter on basic control theory, a discussion of optimal control, and a proof of a useful special case of the maximum principle. A key feature of earlier editions, a wide selection of original exercises, is respected in this edition with the inclusion of a wealth of new exercises. 
Reviews of the first edition:

“As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.”—F. Verhulst, SIAM Review 

“The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.” —D. S. Shafer, Mathematical Reviews

Caracteristici

Provides a thorough introduction to all standard topics for a graduate level course in ordinary differential equations Contains concise introductions to continuation, calculus of variations, optimization, control, averaging, and chaos Includes a wealth of original exercises, graduate level topics for self study or master’s level projects