Books like Applied Numerical Methods with MATLAB for Engineers and Scientists by Steven C. Chapra

Advanced Engineering Mathematics, by Erwin Kreyszig, is a foundational textbook for mechanical, electrical, civil, and chemical engineering students, covering differential equations, mathematical physics, and applied analysis.

This well-respected text gives an introduction to the modern approximation techniques andexplains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing.

A hands‑on guide that teaches numerical methods and computer modeling for physics, with example programs and projects in classical, quantum, and statistical mechanics.