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An Introduction to Electrical Circuit Theory: Volume 1: A Mathematical Approach to Fundamental Electrical Quantities and Resistive Circuits

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Название: An Introduction to Electrical Circuit Theory: Volume 1: A Mathematical Approach to Fundamental Electrical Quantities and Resistive Circuits
Автор: Niels-Ebbe Dam
Издательство: Springer
Год: 2026
Страниц: 150
Язык: английский
Формат: True PDF, True EPUB
Размер: 28.8 MB

This concise electrical engineering textbook uses a successfully class-tested approach, which focuses on essential topics in electrical engineering that are most often used in practice. This volume introduces the necessary mathematics, basic definitions of current, voltage, resistance, etc., as well as the basic calculation methods for analyzing resistor circuits. The text is written in a clear and simple language that is easy to understand, while all small steps are shown in mathematical derivations, so that students do not "get stuck" in these derivations when reading on their own. Examples and exercises are limited and focused in order to maximize comprehension of the concepts and techniques being discussed.

Volume 1: A Mathematical Approach to Fundamental Electrical Quantities and Resistive Circuits has 4 chapters.
Chapter 1 provides an overview of the first two volumes. It also provides some recommendations on how a new student can organise their education and how to work with the first two circuit theory courses corresponding to Volumes 1 and 2.
Chapter 2 reviews very fundamental mathematical topics as well as solving systems of equations using matrices and determinants.
Chapter 3 introduces fundamental electrical quantities such as current, voltage, electrochemical potential, resistance, and power with an emphasis on electrophysical understanding. This is followed by rules for calculating the sign of current, voltage, and power. Finally, voltage and current generators are introduced.
Chapter 4 is a comprehensive review of many different methods for analysing DC circuits with resistors and voltage generators.

Contents:


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