# Mathematical Methods for Molecular Science: Theory and Applications, Visualizations and Narrative

**Just Published**

*This excellent book is unique in its accessibility as well as depth. It represents a great and self-contained pathway to teach mathematical skills to students of molecular sciences. I used it in my physical chemistry course along with textbooks by McQuarrie and Atkins, but found that Straub’s book was “the great equalizer” that made those textbooks equally accessible to all students in my course, including biochemistry and materials science majors. The book clearly reflects Straub's passion for sharing knowledge and is one to stand the test of time.*

-Pratyush Tiwary, University of Maryland

Straub’s stunning new text is an excellent choice for a one-semester course on mathematical methods, an affordable supplement for physical chemistry courses, or a self-study guide.

### Summary

This brilliant new text by John Straub (Boston University) is designed to bridge the “mathematics knowledge gap” between what is commonly known by students after completing a year of introductory calculus, and what is required for success in the physical sciences and in physical chemistry courses. Key concepts from the introductory calculus sequence are reviewed and carefully selected topics in multivariate calculus, probability and statistics, ordinary differential equations, and linear algebra are explored. Additional chapters cover advanced topics, including partial differential equations, Fourier analysis, and group theory. Engaging narratives, fully worked examples, hundreds of colorful visualizations, and ample end-of-chapter problems with complete answers combine to make this stunning new text an excellent choice for a one-semester course on mathematical methods, as a supplement for courses in physical chemistry, or as a self-study guide. Ancillaries for adopting faculty include in-class worksheets, sample exams, and an answer manual.

### Key features

- Abundant end-of-chapter exercises, including three difficulty levels, with answers at the back of the book
- Ample worked examples throughout, with clearly explained steps to guide problem solving
- Reviews of all basic introductory calculus concepts before the introduction of new topics
- Over 400 original color figures to help visualize problem solving and interpretation of results
- Margin notes offering historical context and additional mathematical details
- Key ancillaries including in-class worksheets, sample exams, and an answer guide for adopting instructors

### Resources

### Table of Contents

Contents

Introduction

1 Functions and coordinate systems

2 Complex numbers and logarithms

3 Differentiation in one and many dimensions

4 Scalars, vectors, and vector algebra

5 Scalar and vector operators

6 Extremizing functions of many variables

7 Integration in one and many dimensions

8 Sequences, series, and expansions

9 Fundamentals of probability and statistics

10 Ordinary differential equations

11 More ordinary differential equations

12 Partial differential equations

13 Fourier series, Fourier transforms, and harmonic analysis

14 Matrices and matrix algebra

15 Eigenvalues and eigenvectors

16 Geometric transforms and molecular symmetry

Bibliography

Index

Colophon

Detailed TOC

### Reviews

*John Straub has written an excellent textbook for undergraduates who have taken Calculus II and want to major in chemistry, biology, or physics. I used this wonderful book as the primary text in the one-semester course “Math for Chemistry” we teach at NYU. Because the book covers many math topics important for scientific applications, it allows instructors to select and include as many areas as needed and as time permits. The figures and problems help illustrate and expand upon key concepts. It is evident that the author has poured much love and craft into this beautiful book.*

-Tamar Schlick, New York University

*This excellent book is unique in its accessibility as well as depth. It represents a great and self-contained pathway to teach mathematical skills to students of molecular sciences. I used it in my physical chemistry course along with textbooks by McQuarrie and Atkins, but found that Straub’s book was “the great equalizer” that made those textbooks equally accessible to all students in my course, including biochemistry and materials science majors. The book clearly reflects Straub’s passion for sharing knowledge and is one to stand the test of time.*

-Pratyush Tiwary, University of Maryland

*This is a fantastic resource for students in undergraduate physical chemistry and graduate statistical mechanics and quantum chemistry. It provides students with a quick way to learn the tools they need, and demystifies math in a way that will give students confidence. The book has a lot of interesting problems for practice and is beautifully written.*

-Arun Yethiraj, University of Wisconsin