Differential Galois Theory and Non-Integrability of Hamiltonian Systems (Modern Birkhäuser Classics) - Image 1

£39.90

Birkhauser Differential Galois Theory and Non-Integrability of Hamiltonian Systems (Modern Birkhäuser Classics)

Name: Differential Galois Theory and Non-Integrability of Hamiltonian Systems (Modern Birkhauser Classics)
Brand: Birkhauser
Price: 39.9 GBP
Availability: InStock

Algebra

This is the usual price. Wait for it to drop, or tell us your number.

£40 today · usual range £0–£0 · best ever £37

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 635 days • 635 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 635 days • 5 price levels

Days at Price

Current Price

Price Analysis

Most common price: £39 (216 days, 34.0%)

Price range: £37 - £45

Price levels: 5 different prices over 635 days

Description

This book is devoted to the relation between two different concepts of integrability: the complete integrability of complex analytical Hamiltonian systems and the integrability of complex analytical linear differential equations. For linear differential equations, integrability is made precise within the framework of differential Galois theory. The connection of these two integrability notions is given by the variational equation (i.e. linearized equation) along a particular integral curve of the Hamiltonian system. The underlying heuristic idea, which motivated the main results presented in this monograph, is that a necessary condition for the integrability of a Hamiltonian system is the integrability of the variational equation along any of its particular integral curves. This idea led to the algebraic non-integrability criteria for Hamiltonian systems. These criteria can be considered as generalizations of classical non-integrability results by Poincaré and Lyapunov, as well as more recent results by Ziglin and Yoshida. Thus, by means of the differential Galois theory it is not only possible to understand all these approaches in a unified way but also to improve them. Several important applications are also included: homogeneous potentials, Bianchi IX cosmological model, three-body problem, Hénon-Heiles system, etc. The book is based on the original joint research of the author with J.M. Peris, J.P. Ramis and C. Simó, but an effort was made to present these achievements in their logical order rather than their historical one. The necessary background on differential Galois theory and Hamiltonian systems is included, and several new problems and conjectures which open new lines of research are proposed. - - - The book is an excellent introduction to non-integrability methods in Hamiltonian mechanics and brings the reader to the forefront of research in the area. The inclusion of a large number of worked-out examples, many of wideapplied interest, is commendable. There are many historical references, and an extensive bibliography. (Mathematical Reviews) For readers already prepared in the two prerequisite subjects [differential Galois theory and Hamiltonian dynamical systems], the author has provided a logically accessible account of a remarkable interaction between differential algebra and dynamics. (Zentralblatt MATH)

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 3034807201
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Publication Date: 18 December 2013
Listed Since: 05 September 2013

Barcode

No barcode data available

Birkhauser Differential Galois Theory and Non-Integrability of Hamiltonian Systems (Modern Birkhäuser Classics)

This is the usual price. Wait for it to drop, or tell us your number.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Hamiltonian Dynamical Systems: A REPRINT SELECTION

Hamiltonian Dynamical Systems: A REPRINT SELECTION

Introduction to Modern Dynamics: Chaos, Networks, Space, and Time

An Introduction to Hamiltonian Mechanics (Birkhäuser Advanced Texts Basler Lehrbücher)

Hamiltonian Dynamics and Celestial Mechanics (Contemporary Mathematics)

Foundations of Theoretical Mechanics I: The Inverse Problem in Newtonian Mechanics (Texts and Monographs in Physics)

Analytical Mechanics: Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory, Special Relativity: 150 (UNITEXT, 150)

Classical Mechanics: Hamiltonian and Lagrangian Formalism

Notes on Hamiltonian Dynamical Systems (London Mathematical Society Student Texts)

Hamiltonian Mechanics: Integrability and Chaotic Behavior: 331 (NATO Science Series B:, 331)

Integrable Hamiltonian Systems: Geometry, Topology, Classification

Integrable Hamiltonian Systems: Geometry, Topology, Classification

The Three-Body Problem

Classical Dynamics: A Contemporary Approach

Nonlinear Dynamical Systems of Mathematical Physics: Spectral and Symplectic Integrability Analysis

Elegant Simulations: From Simple Oscillators To Many-body Systems (Elegant Series)

Classical and Celestial Mechanics – The Recife Lectures

Introduction to Hamiltonian Dynamical Systems and the N-Body Problem: 90 (Applied Mathematical Sciences, 90)

A Birman-Schwinger Principle in Galactic Dynamics: 77 (Progress in Mathematical Physics, 77)

Mathematical Methods of Classical Mechanics: 60 (Graduate Texts in Mathematics, 60)

Applied Symbolic Dynamics And Chaos (Second Edition): 4 (Peking University-world Scientific Advanced Physics Series)

Perturbation Theory: Mathematics, Methods and Applications (Encyclopedia of Complexity and Systems Science Series)

Measure and Capacity of Wandering Domains in Gevrey Near-Integrable Exact Symplectic Systems (Memoirs of the American Mathematical Society)

Quantum versus Classical Mechanics and Integrability Problems: towards a unification of approaches and tools