Now showing items 1-10 of 39
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: ...
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 ...
(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 ...
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. ...
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 ...
Using prediction markets to forecast research evaluations
(The Royal Society, 2015)
The 2014 Research Excellence Framework (REF2014) was conducted to assess the quality of research carried out at higher education institutions in the UK over a 6 year period. However, the process was criticized for being ...
(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 ...
An efficient interpolation technique for jump proposals in reversible jump Markov chain Monte Carlo calculations
(The Royal Society, 2015)
Selection among alternative theoretical models given an observed dataset is an important challenge in many areas of physics and astronomy. Reversible-jump Markov chain Monte Carlo (RJMCMC) is an extremely powerful technique ...