دانلود کتاب ریاضیات برای مهندسان جلد ۳

This third and final volume in our Mathematics for Engineers series serves as a companion text to the third-semester mathematics preliminaries for students and lecturers in electrical engineering and other engineering disci- plines. Ordinary and partially differential equations play a central role in gradua- te engineering courses. This topic is the main focus of the third volume: The description of engineering problems leads either to ordinary differen- tial equations as long as there is only one independent variable. When the problem is described by more than one variable, the model equations are partial differential equations, such as the wave equation, the heat transfer equation, the Laplace equation and many more. Differential equations are discussed in detail. In addition to describing engineering problems using differential equations, we need to analyze signals produced by oscillations and vibrations. This re- quires frequency analysis of the signals, which leads to the topic of Fourier series for periodic signals and Fourier transform for non-periodic signals. Both techniques are also used in the solution of differential equations. This volume provides students at universities and colleges with a vivid pre- sentation of these topics as a practical aid to higher mathematics. Mathe- matical terms are clearly motivated, systematically equated and visualized in many animations. A large number of examples and applications illustrate and deepen the material, and the numerous exercises (with solutions on the book’s homepage) make it easier to prepare for exams. Important formulas and statements are clearly highlighted in order to in- crease the readability of the books. Many pictures and sketches support the character of modern textbooks. The color-coded layout provides a clear overview of the presentation of the content, e.g. new terms and definitions in light grey, important statements and sentences in grey.