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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 ...
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: ...
Active Calculus
(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. ...
An investigation of the false discovery rate and the misinterpretation of p-values
(2014)
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 ...
Introductory Statistics
(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 ...
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 ...
Spatial modelling of type II diabetes outcomes
(The Royal Society, 2015)
With the rising incidence of type II diabetes mellitus (DM II) worldwide, methods to identify high-risk geographical areas have become increasingly important. In this comprehensive review following Cochrane Collaboration ...