Advanced Engineering Mathematics and Analysis. Volume 1


Series: Mathematics Research Developments
BISAC: MAT003000

The book, “Advanced Engineering Mathematics and Analysis-Volume 1, offers a straightforward approach to understanding the theory of several engineering tools that are used to compute, evaluate, and analyze practical problems. It is a mathematics textbook that can be used by students, instructors, and technical carriers. Throughout the five chapters of the book, besides the pure mathematical examples, several practical issues from different fields are modeled and solved to illustrate the relation between the theory and its applications. The book elucidates the subjects in a self-contained style. This volume contains the basics and advanced topics of linear algebra and matrix theory, two-chapter ordinary differential equations to elaborate many classes, Laplace transforms with fundamental applications, and a complete engineering course of numerical methods. Each chapter ends with exercises that are arranged according to the chapter sections. The readers will find the answers at the end of the book.

Table of Contents



Chapter 1. Linear Algebra and Matrices

Chapter 2. Differential Equations – Part I

Chapter 3. Differential Equations – Part II

Chapter 4. Laplace Transforms

Chapter 5. Numerical Methods

Answers to Selected Exercises



Additional information



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