Unlike other books in the market, this second edition presents differential equations consistent with the way scientists and engineers use modern methods in their work. Technology is used freely, with more emphasis on modeling, graphical representation, qualitative concepts, and geometric intuition than on theoretical issues. It also refers to larger-scale computations that computer algebra systems and DE solvers make possible. And more exercises and examples involving working with data and devising the model provide scientists and engineers with the tools needed to model complex real-world situations.
(12) dt2 building ground In other words, the net force is simply the weight F = F1 = −W of the rock near the surface of the Earth. ... such as a cannonball, fell with a greater acceleration than lighter objects, such as a feather.
The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra.
This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.
This textbook stays within traditional coverage of basic topics in differential equations. ... Since a complex number (let us denote it by z) is a vector on the plane, it is a custom to denote it by z = x + y j rather than z = xi + y j, ...
This revision of Boyce & DiPrima's market-leading text maintains its classic strengths: a contemporary approach with flexible chapter construction, clear exposition, and outstanding problems. Like previous editions, this revision is...
Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, ...
In this section we will describe two types of multistep methods : Adams methods and backward differentiation methods . Within each type , we can achieve various levels ... Recall that we denote f ( tj , Y ; ) by f ; for an integer j .
Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a...
The third edition of this student-oriented text features new sections on qualitative features and vibrations. There group projects at the end of each chapter, technical writing exercises, as well as...
The 10th edition of Elementary Differential Equations and Boundary Value Problems, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite ...