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The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, …
This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for …
This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions …
Many phenomena in the physical and biological sciences involve the collective behaviour of (very large) numbers of individual objects. For example, the be haviour of gases …
Presenting basic results of topology, calculus of several variables, and approximation theory which are rarely treated in a single volume, this textbook includes several beautiful, …
The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but …
This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics …
The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but …
This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier …
This textbook offers an engaging account of the theory of ordinary differential equations intended for advanced undergraduate students of mathematics. Informed by the author’s …