Differential Equations for Engineering Systems is a research-grade digital textbook developed for electrical and computer engineers who require a system-oriented and mathematically rigorous approach to ordinary differential equations.
Rather than treating differential equations as isolated solution techniques, this book presents them as models of physical, electrical, and computational systems, emphasizing structure, interpretation, and transform-based reasoning.
The text is designed to bridge foundational theory with engineering application, supporting both advanced coursework and independent professional study.
This book emphasizes the role of differential equations as the mathematical backbone of:
dynamic system modeling
signal and system behavior
electrical and mechanical system response
stability and transient analysis
The treatment prioritizes clarity of formulation, correctness of interpretation, and efficiency of solution, particularly in contexts relevant to ECE.
The material develops a coherent progression through:
first- and higher-order ordinary differential equations
linear systems with constant coefficients
homogeneous and non-homogeneous equations
impulse, step, and exponential inputs
Laplace-transform-based solution methods
initial-value problems and system response
engineering interpretation of solutions
Worked examples are fully developed, and problem sets are aligned with advanced engineering expectations.
System-driven approach to differential equations
Transform methods integrated naturally into solution workflows
Emphasis on physical and engineering interpretation
Fully worked examples and solved problem sets
Consistent notation and mathematical typography
Designed for advanced undergraduate and graduate ECE
Digital textbook (PDF)
High-resolution mathematical typesetting
Optimized for screen reading and printing
Digital Edition (PDF):
💲 $11.99 USD
Academic and institutional licensing available upon request.
Electrical and computer engineering students
Graduate-level engineering candidates
Practicing engineers working with dynamic systems
Researchers seeking a compact, rigorous ODE reference
Mahdi Haghzadeh, PhD, is an engineer and researcher at Maxdi Research, working on mathematical systems theory, signal analysis, and advanced computational methods for engineering and physics.
Differential Equations for Engineering Systems is a research-grade digital textbook developed for electrical and computer engineers who require a system-oriented and mathematically rigorous approach to ordinary differential equations.
Rather than treating differential equations as isolated solution techniques, this book presents them as models of physical, electrical, and computational systems, emphasizing structure, interpretation, and transform-based reasoning.
The text is designed to bridge foundational theory with engineering application, supporting both advanced coursework and independent professional study.
This book emphasizes the role of differential equations as the mathematical backbone of:
dynamic system modeling
signal and system behavior
electrical and mechanical system response
stability and transient analysis
The treatment prioritizes clarity of formulation, correctness of interpretation, and efficiency of solution, particularly in contexts relevant to ECE.
The material develops a coherent progression through:
first- and higher-order ordinary differential equations
linear systems with constant coefficients
homogeneous and non-homogeneous equations
impulse, step, and exponential inputs
Laplace-transform-based solution methods
initial-value problems and system response
engineering interpretation of solutions
Worked examples are fully developed, and problem sets are aligned with advanced engineering expectations.
System-driven approach to differential equations
Transform methods integrated naturally into solution workflows
Emphasis on physical and engineering interpretation
Fully worked examples and solved problem sets
Consistent notation and mathematical typography
Designed for advanced undergraduate and graduate ECE
Digital textbook (PDF)
High-resolution mathematical typesetting
Optimized for screen reading and printing
Digital Edition (PDF):
💲 $11.99 USD
Academic and institutional licensing available upon request.
Electrical and computer engineering students
Graduate-level engineering candidates
Practicing engineers working with dynamic systems
Researchers seeking a compact, rigorous ODE reference
Mahdi Haghzadeh, PhD, is an engineer and researcher at Maxdi Research, working on mathematical systems theory, signal analysis, and advanced computational methods for engineering and physics.
