Here’s a draft for an engaging blog-style or social media post about Mathematical Methods for Students of Physics and Related Fields by Donald A. McQuarrie (often referred to in chemistry circles as “the math book for physical chemists”).
Title: The Secret Weapon of Physical Chemistry: Why McQuarrie’s Math Book Deserves a Spot on Your Desk
If you’ve ever taken a physical chemistry course, you know the feeling. You open your main P. Chem textbook (maybe McQuarrie’s own Physical Chemistry or Atkins’), and by chapter two, you’re hit with:
Enter the unsung hero: Donald A. McQuarrie’s Mathematical Methods for Students of Physics and Related Fields (sometimes nicknamed “Math for P. Chem”).
What makes this book different?
Most math methods books (Boas, Arfken, Riley) are written for physicists or engineers. They’re brilliant, but they often skip the chemical context. McQuarrie? He was a chemist first. He knows exactly where you’ll stumble. mathematics for physical chemistry donald a. mcquarrie
Here’s a typical gem from the book:
“Many students see their first differential equation in a physical chemistry course and panic. Let’s avoid that. We’ll start with separable ODEs and build to Hermite polynomials — but we’ll do it using the particle in a box and the harmonic oscillator as our guides.”
He doesn’t just teach math. He teaches why a physical chemist needs it — and when.
My favorite part: The chapter on Fourier series doesn’t start with abstract convergence theorems. It starts with the heat equation in a metal bar, then gently moves to the quantum mechanical free particle. By the end, you understand why chemists care about Fourier transforms in IR spectroscopy and NMR.
The “CliffsNotes” for P. Chem math
Who is this for?
A small critique (and why it’s still worth it)
Yes, the book assumes you’ve had calculus through differential equations. Yes, it’s a bit old-school (first published 1985, updated in 2006). But the clarity? Timeless.
And McQuarrie has a dry wit. In the preface: “This book is not intended to replace a course in mathematics. It is intended to make sure you survive your course in physical chemistry.”
Final verdict: If you own a physical chemistry textbook but not McQuarrie’s Mathematical Methods, you’re working too hard. This is the bridge between “I can take a derivative” and “I can solve the Schrödinger equation for the hydrogen atom.” Here’s a draft for an engaging blog-style or
Highly recommended for anyone who wants to understand the math, not just memorize it.
Key features of McQuarrie’s approach:
| Book | Best for | McQuarrie’s edge | |------|----------|------------------| | Mathematical Methods in the Physical Sciences (Boas) | Physics & engineering majors | More chemistry-specific examples, less dense | | Applied Mathematics for Physical Chemistry (Barrante) | Lower-level review | McQuarrie is more rigorous and quantum-focused | | Essential Math for Physical Chemistry (Morten) | Very short crash course | McQuarrie has far better problems |
There are other books on this shelf (e.g., Mortimer, Steiner). Why does the academic hive mind consistently recommend McQuarrie?
Chapter 1: Functions of a Single Variable Title: The Secret Weapon of Physical Chemistry: Why
Chapter 2: Thermodynamics and the Total Differential
Chapter 3: Coordinate Systems