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 to solve examples from various disciplines. The writing style is informal and new ideas are introduced gradually via concepts already familiar to the reader.
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.
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos.
This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics.
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject.
This is due to the poor set of alternatives -decay or explosion of motion -pertinent to linear models. Therefore, the present work centres on non-linearity.
InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field.
Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises.
Chaos and complexity theory have emerged as extremely popular new conceptual approaches in scientific understanding. They have served to elucidate fields long considered resistant to meticulous study--such as those involving...
Knotted Doughnuts and Other Mathematical Entertainments . W.H. Freeman . Gardner , M. ( 1981 ) . The Lasser curve and other laughs in current economics . Sci . Amer . 245 ( 6 ) , 18 . Gardner , M. ( 1983 ) . Wheels , Life , and Other ...
This book demonstrates what can be done with dimensional analysis through a series of examples, starting with Pythagoras' theorem and the simple pendulum, and going on to a number of practical examples, many from the author's experience in ...