A Textbook of Engineering Mathematics

Engineering mathematics built for the first-year technical classroom

A Textbook of Engineering Mathematics is a syllabus-led mathematics text for B.Tech./B.E. students, prepared with the Punjab Technical University semester structure in mind. The supplied edition presents a classic engineering-maths path: differential equations first, then linear algebra, and finally infinite series. It is the kind of book that stays close to the needs of technical students—methodical, practice-friendly, and focused on the topics that recur in engineering courses and examinations.

What the book covers

The contents show a carefully sequenced approach to core mathematical tools. Readers move from first-order and higher-order ordinary differential equations to applications such as electric circuits, simple harmonic motion, heat conduction, cooling, and growth and decay. The second half shifts into linear algebra—matrices, rank, eigen values, quadratic forms, orthogonal transformations—and then closes with sequences and infinite series.

Designed for structured study

This is not a loose survey text. The chapter design emphasizes definitions, theorems, working rules, review sections, and short-answer questions, making the material easy to revisit during revision. That format is especially useful for students who want a single reference that supports both concept-building and exam practice.

Why it stands out

• Strong emphasis on standard engineering-maths topics
• Clear progression from differential equations to algebra and series
• Includes applied examples from physics and engineering contexts
• Built around classroom and examination use

Ideal for

Engineering students, especially those in early semesters, will find the book most directly useful. It also suits anyone looking for a traditional, syllabus-aligned reference in engineering mathematics with a practical problem-solving orientation.