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A First Course in Network Theory 1st Edition by Ernesto Estrada, Philip A Knight ISBN 0198726457 9780198726456

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A First Course in Network Theory 1st Edition Ernesto Estrada Digital Instant Download

Author(s): Ernesto Estrada, Philip A. Knight
ISBN(s): 9780198726456, 0198726457
Edition: 1
File Details: PDF, 5.36 MB
Year: 2015
Language: english
SKU: EB-6747970 Category: Tags: ,

A First Course in Network Theory 1st Edition by Ernesto Estrada, Philip A Knight – Ebook PDF Instant Download/Delivery: 0198726457, 9780198726456
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Product details:

ISBN 10: 0198726457 
ISBN 13: 9780198726456
Author: Ernesto Estrada, Philip A Knight

The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needs of students from very different backgrounds. It references the most commonly used concepts in network theory, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results. In the first part of the book, students and researchers will discover the quantitative and analytical tools necessary to work with complex networks, including the most basic concepts in network and graph theory, linear and matrix algebra, as well as the physical concepts most frequently used for studying networks. They will also find instruction on some key skills such as how to proof analytic results and how to manipulate empirical network data. The bulk of the text is focused on instructing readers on the most useful tools for modern practitioners of network theory. These include degree distributions, random networks, network fragments, centrality measures, clusters and communities, communicability, and local and global properties of networks. The combination of theory, example and method that are presented in this text, should ready the student to conduct their own analysis of networks with confidence and allow teachers to select appropriate examples and problems to teach this subject in the classroom.

A First Course in Network Theory 1st Table of contents:

Chapter 1: Introduction to Network Theory

  • What is a Network?

  • Importance and Applications of Network Theory

  • Basic Concepts: Nodes, Branches, and Loops

  • Overview of Electrical Networks

Chapter 2: Basic Circuit Elements

  • Resistors, Capacitors, and Inductors

  • Voltage and Current Sources

  • Linear vs. Nonlinear Elements

  • Dependent and Independent Sources

Chapter 3: Network Analysis Techniques

  • Ohm’s Law and Kirchhoff’s Laws

  • Node-Voltage Method

  • Mesh-Current Method

  • Superposition, Thevenin, and Norton Theorems

Chapter 4: Network Theorems and Their Applications

  • Reciprocity Theorem

  • Maximum Power Transfer

  • Millman’s Theorem

  • Compensation Theorem

Chapter 5: Transient Response of Networks

  • First-Order RL and RC Circuits

  • Second-Order RLC Circuits

  • Step and Impulse Response

  • Initial and Final Value Theorems

Chapter 6: Sinusoidal Steady-State Analysis

  • Phasors and Complex Impedance

  • AC Circuit Analysis Techniques

  • Resonance in Series and Parallel Circuits

  • Power in AC Circuits (Real, Reactive, Apparent)

Chapter 7: Frequency Response and Filters

  • Frequency Response of Circuits

  • Low-Pass, High-Pass, Band-Pass, and Band-Stop Filters

  • Bode Plots and Analysis

  • Applications in Signal Processing

Chapter 8: Two-Port Networks

  • Definition and Parameters (Z, Y, H, T)

  • Interconnection of Two-Port Networks

  • Transmission Lines and Impedance Matching

  • Applications in Communication Systems

Chapter 9: Network Functions and Stability

  • Network Functions and Poles/Zeros

  • Stability Criteria for Networks

  • Time and Frequency Domain Relationships

  • Causality and Physical Realizability

Chapter 10: Introduction to Advanced Topics

  • Nonlinear Network Analysis

  • Introduction to Digital Networks

  • Network Simulation Tools

  • Case Studies and Practical Applications

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Tags: Ernesto Estrada, Philip A Knight, Network