Additional Class Notes by
Bob Gardner

I am in the process of posting additional class notes online from a number of different sources. This page contains links to notes based on different textbooks where the notes cover only a small part of the book (in the "Brief Notes"), where I have only made humble progress with note preparation (at least one chapter; in the "Notes in Preparation"), or where I have yet to start writing notes or have completed just a few sections (in "Notes Planned").

Links to thorough copies of notes (the notes I primarily use in teaching) is posted online. Some older class notes can be found on my Archives webpage. I now also have a partial index of the notes available.

Older version of the notes housed on the ETSU server can be accessed through my Additional Class Notes on the ETSU Server webpage (though this version of my notes is no longer updated or corrected, effective May 2024). These older versions are subject to deletion at some time in the future.

Brief Notes
Hitchman's Geometry with Cosmic Topology
Transformational Geometry
Hong, Wang, Gardner's Real Analysis with Intro to Wavelets
Hilbert Spaces
DeGroot's Probability and Statistics 4th Edition
Intermediate Probability
and Statistics
Marsden and Tromba's Vector Calculus, 6th edition
Vector Calculus
Burden, Faires, and Burden's Numerical Analysis, 10th Edition
Numerical Analysis
Taha's Operations Research: A Introduction, 10th Edition (2016)
Introduction to
Operations Research
Lidl and Pilz's Applied Abstract Algebra
Applied
Abstract Algebra
Herstein's Topics in Algebra
Introduction to
Modern Algebra
Mohar and Thomassen's Graphs on Surfaces
Topological
Graph Theory

Notes in Preparation
Halliday and Resnick's Fundamentals of Physics, 11th edition
Technical Physics 1
Halmos's Naive Set Theory
Naive Set Theory
Hrbacek and Jech's Introduction to Set Theory, 2nd Edition
Introduction to
Set Theory
Papadimitriou's Computational Complexity
Computational Complexity
Hungerford's Algebra Book
Linear Algebra
(Graduate)
Prugovecki's Quantum Theory in Hilbert Space
Mathematical Quantum
Theory
Tensor Geometry
Differential Geometry
Ash and Doleans-Dade's Probability and Measure Theory 2nd Edition
Probability Theory
(Graduate)

Notes Planned
Jurgensen, Donnelly, and Dolciani's Modern School Mathematics: Geometry
Modern School
Mathematics: Geometry
Merris' Combinatorics, 2nd Edition
Applied Combinatorics
and Problem Solving
Cohn's Introduction to Ring Theory
Introduction to
Ring Theory
Gut's An Intermediate Course in Probability, 2nd Edition
Intermediate Probability Theory
Jameson's The Prime Number Theorem
Prime Number Theorem
Everest and Ward's Introduction to Number Theory
Number Theory
(Graduate)
Bruce Sagan's Combinatorics: The Art of Counting
Combinatorics
(Graduate)
Beth, Lenz, Jungnickel's Design Theory, Volume 1
Design Theory
(Graduate)
Bredon's Topology and Geometry
Topology
(Graduate)
Reed and Simon's Functional Analysis I
Functional Analysis
(Graduate)
Jech's Set Theory, The Third Millennium Edition
Set Theory
(Graduate)

Statistics and Applied Data Science
Navidi's Statistics for Engineers and Scientists, 3rd Edition
Foundations of Probability
and Statistics-Calculus Based
Hardle and Simar's Applied Multivariate Statistical Analysis, 5th edition
Applied Multivariate
Statistical Analysis
Kutner, Nachstsheim, and Neter's Applied Linear Statistical Models
Statistical Methods 1
Berger's Statistical Decision Theory and Bayesian Analysis
Bayesian Analysis
Bocci and Chiantini's An Introduction to Algebraic Statistics with Tensors
Algebraic Statistics
Wu and Coggeshall's Foundations of Predictive Analytics
Foundations of
Predictive Analytics
Shikhman and Muller's Mathematical Foundations of Big Data Analytics
Mathematics of
Data Analytics

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Last updated: August 16, 2024