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Perturbation methods, instability, catastrophe, and chaos

Tác giả: Man Fong C F Chan, Daniel de Kee

This important book introduces perturbation and qualitative methods for differential equations in terms understandable to students with only a basic knowledge of calculus and ordinary linear differential equations. Theorems are stated clearly with their limitations and restrictions and are applied ...

Lorentz and Poincaré invariance : 100 years of relativity

Tác giả: Jong-Ping Hsu, Yuan-Zhong Zhang

This collection of papers provides a broad view of the development of Lorentz and Poincaré invariance and spacetime symmetry throughout the past 100 years. The issues explored in these papers include: (1) formulations of relativity theories in which the speed of light is not a universal constant ...

Lecture notes on quantum mechanics

Tác giả: Samuel D Lindenbaum

This book is written based on lecture notes covering three to four semesters of graduate courses in quantum mechanics. The author sets out by explaining the physical concepts of quantum mechanics, and then goes on to describe the mathematical formalism and present illustrative examples of the ideas ...

Introduction to A-trees

Tác giả: Ian Chiswell

The theory of Λ-trees has its origin in the work of Lyndon on length functions in groups. The first definition of an R-tree was given by Tits in 1977. The importance of Λ-trees was established by Morgan and Shalen, who showed how to compactify a generalisation of Teichmüller space for a finitely ...

Thinking about Gödel and Turing : essays on complexity, 1970-2007

Tác giả: Gregory J. Chaitin

Contains 23 non-technical papers. This book includes essays which summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of Godel and Turing on the limits of mathematical methods, both in ...