Now showing items 1-10 of 39
Abstract Algebra: Theory and Applications
(Stephen F. Austin State University, 2014)
Preliminaries. The Integers. Groups. Cyclic Groups. Permutation Groups. Cosets and Lagrange’s Theorem. Introduction to Cryptography. Algebraic Coding Theory. Isomorphisms. Normal Subgroups and Factor Groups. Homomorphisms. ...
Applied Discrete Structures
(University of Massachusetts Lowell, 2013)
Chapter 1: Set Theory. Chapter 2: Combinatorics. Chapter 3: Logic. Chapter 4: More on Sets. Chapter 5: Introduction to Matrix Algebra. Chapter 6: Relations and Graphs. Chapter 7: Functions. Chapter 8: Recursion and Recurrence ...
A Computational Introduction to Number Theory and Algebra
(Cambridge University Press, 2008)
Chapter 1: Basic properties of the integers. Chapter 2: Congruences. Chapter 3: Computing with large integers. Chapter 4: Euclid’s algorithm. Chapter 5: The distribution of primes. Chapter 6: Abelian groups. Chapter 7: ...
(Grand Valley State University, 2015)
Chapter 1: Understanding the Derivative. Chapter 2: Computing Derivatives. Chapter 3: Using Derivatives. Chapter 4: The Definite Integral. Chapter 5: Finding Antiderivatives and Evaluating Integrals. Chapter 6: Using ...
(OpenStax College, 2013)
Introductory Statistics was conceived and written to fit a particular topical sequence, but it can be used flexibly to accommodate other course structures. One such potential structure, which will fit reasonably well with ...
Book of Proof
(Virginia Commonwealth University, 2012)
Chapter 1: Fundamentals. Chapter 2: How to Prove Conditional Statements. Chapter 3: More on Proof. Chapter 4: Relations, Functions and Cardinality.
Basic Analysis: Introduction to Real Analysis
(Jiˇrí Lebl, 2016)
Introduction. Chapter 1. Real Numbers. Chapter 2. Sequences and Series. Chapter 3. Continuous Functions. Chapter 4. The Derivative. Chapter 5. The Riemann Integral. Cjhapter 6. Sequences of Functions. Chapter 7: Metric ...
An investigation of the false discovery rate and the misinterpretation of p-values
If you use p=0.05 to suggest that you have made a discovery, you will be wrong at least 30% of the time. If, as is often the case, experiments are underpowered, you will be wrong most of the time. This conclusion is ...
Math in Society
(Pierce College Ft Steilacoom, 2013)
Chapter 1: Problem Solving. Chapter 2: Voting Theory. Chapter 3: Weighted Voting. Chapter 4: Apportionment. Chapter 5: Fair Division. Chapter 6: Graph Theory. Chapter 7: Scheduling. Chapter 8: Growth Models. Chapter 9: ...
Notes on Diffy Qs: Differential Equations for Engineers
(Jiˇrí Lebl, 2014)
First order ODEs. Higher order linear ODEs. Systems of ODEs. Fourier series and PDEs. Eigenvalue problems. The Laplace transform. Power series methods. Nonlinear systems.