Projects: Education
Books: Math Books
My mathematics library will grow as my physics library has grown; wait and see.
Note 1: CCCC = Cerro Coso Community College
Note 2: CSULB = California State University, Long Beach
Logic, Set Theory, and Category Theory
- Set Theory for the Mathematician
by Rubin
Algebra
- Linear Algebra and Its Applications, Second Edition
by Lay- I used this book in my lower division Linear Algebra course at CSULB.
- Linear Algebra, Fourth Edition
by Friedberg, Insel, and Spence- I used this book in my upper division Linear Algebra course at CSULB.
- A First Course in Abstract Algebra
by Robert A. Mena- I used this in my upper division Abstract Algebra course at CSULB. It is written by the professor who taught the course, and is a nice, small, spiral-bound book.
- Algebra through practice: A collection of problems and solutions in algebra (four books)
by Blyth and Robertson- Book 3: Groups, rings and fields
- Book 4: Linear algebra
- Book 5: Groups
- Book 6: Rings, fields and modules
Calculus and Analysis
- Calculus, 9th Edition
by Thomas Finney- I used this book in my lower division Calculus courses at CCCC.
- Vector Calculus, Second Edition
by Colley- I used this book in my upper division Multivariable Calculus course at CSULB.
- Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach, Second Edition
by Hubbard and Hubbard - Elementary Analysis: The Theory of Calculus
by Ross- I used this book in my upper division Real Analysis courses at CSULB.
- A First Course in Applied Complex Variables
by Rubenfeld- I actually don't have the book (Basic Complex Analysis) that I used in my upper division Complex Analysis course at CSULB. I have not read this book yet.
- Notes on Fourier Analysis
by Kent G. Merryfield- I used this in my upper division Fourier Analysis course at CSULB. It is written by the professor who taught the course (and taught several other math courses I took), and is essentially a loose-leaf book. Of course, I have put the pages in a (three-ring) binder, so it doesn't scatter.
Differential Equations
- A First Course in Differential Equations, with Modeling Applications, Sixth Edition
by Zill- I used this book in my lower division Ordinary Differential Equations course at CCCC.
- Partial Differential Equations: An Introduction
by Strauss- I used this book in my upper division Partial Differential Equations course at CSULB.
Geometry and Topology
- Multivariate Calculus and Geometry, Second Edition
by Dineen- I used this book in my upper division Differential Geometry course at CSULB.
- Riemannian Geometry, Second Edition
by Morgan- I used this book in my upper division Differential Geometry course at CSULB.
- Differential Geometry: A Geometric Introduction
by Henderson - Introduction to Riemann Surfaces
by Springer - Point Set Topology
by Gaal - Topology, Second Edition
by Munkres- I used this book in my graduate Topology course at CSULB.
Probability and Statistics
- Mathematical Statistics with Applications, Sixth Edition
by Wackerly, Mendenhall, and Scheaffer- I used this book in my upper division Probability and Statistics course at CSULB.
Special Topics
- The Art and Craft of Problem Solving
by Zeitz- I used this book in my upper division Problem Solving course at CSULB, which was a preparatory course for the Putnam examination. The book has spawned its own website as well.
- Playing with Infinity
by Péter