Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...

String theory aims to explain all fundamental forces and particles in the universe—essentially, how the world operates on the ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...

The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations ...

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for ...

When integrating simple expressions, the constant of integration, the \(+ c\) term, may remain an unknown. The value of \(c\) can be worked out when additional information is given in the question, .

This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ...

The course concentrates on the theory and qualitative analysis of (ordinary) differential equations, although some solution techniques will be considered as well. Special attention will be paid to ...

This new and updated edition includes a wide range of the best Iterative methods available today, and gives an in-depth view of practical algorithms for solving large-scale linear systems of equations ...