Since the publication of the first edition, MathematicaR has matured considerably and the computing power of desktop computers has increased greatly. This enables the presentation of more complex curv
Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for t
Chow introduces partial differential equations of evolutional type with coefficients that are random functions of space and time. Such random functions or random fields may be generalized random field
This book provides a thorough, self-contained explanation of Galois theory of commutative rings. Requiring some background in commutative algebra and algebraic geometry, the book gives complete proofs
Galaktionov (mathematics, U. of Bath, UK) places the Sturm theory of zeros of solutions of one-dimensional linear parabolic equations as the cornerstone of his exploration of nonlinear second-order pa
This self-contained work presents a more precise classification of Lipschitz mappings and highlights their usefulness in metric fixed point theory. The Lipschitz condition is significant in many branc
Group inverses for singular M-matrices are useful tools not only in matrix analysis, but also in the analysis of stochastic processes, graph theory, electrical networks, and demographic models. Group
The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of t
"Preface Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves
Green’s Functions and Linear Differential Equations: Theory, Applications, and Computation presents a variety of methods to solve linear ordinary differential equations (ODEs) and partial differential
As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the
"Preface This book is an introduction to the mathematical theory of optimal control of processes governed by ordinary differential and certain types of differential equations with memory. The book is
"This work focuses on the number theory of quadratic irrationalities in various forms, including continued fractions, orders in quadratic number fields, and binary quadratic forms. It presents classic
