Mathematics for the Physical Sciences

Focusing on bridging mathematical concepts with physics, the book starts with a review of essential topics from general physics, using them to introduce mathematical applications. It emphasizes vector operations and their significance in calculus, linking them to concepts like magnetic flux. A brief overview of complex numbers is included to support their minor role in later discussions. The text delves into ordinary and partial differential equations, using examples like the simple harmonic oscillator and the Schrödinger equation to illustrate key solving techniques.