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First Semester in Numerical Analysis with Julia

Contributor: Ökten

Publisher: Florida State University

License: CC BY-NC-SA

First Semester in Numerical Analysis with Julia presents the theory and methods, together with the implementation of the algorithms using the Julia programming language (version 1.1.0). The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory. The reader is expected to have studied calculus and linear algebra. Some familiarity with a programming language is beneficial, but not required. The programming language Julia will be introduced in the book. The simplicity of Julia allows bypassing the pseudocode and writing a computer code directly after the description of a method while minimizing the distraction the presentation of a computer code might cause to the flow of the main narrative.

(3 reviews)

Yet Another Introductory Number Theory Textbook (Cryptology Emphasis Version)

Contributor: Poritz

Publisher: Jonathan Poritz

License: CC BY-SA

This version of YAINTT has a particular emphasis on connections to cryptology. The cryptologic material appears in Chapter 4 and §§5.5 and 5.6, arising naturally (I hope) out of the ambient number theory. The main cryptologic applications – being the RSA cryptosystem, Diffie-Hellman key exchange, and the ElGamal cryptosystem – come out so naturally from considerations of Euler’s Theorem, primitive roots, and indices that it renders quite ironic G.H. Hardy’s assertion [Har05] of the purity and eternal inapplicability of number theory. Note, however, that once we broach the subject of these cryptologic algorithms, we take the time to make careful definitions for many cryptological concepts and to develop some related ideas of cryptology which have much more tenuous connections to the topic of number theory. This material therefore has something of a different flavor from the rest of the text – as is true of all scholarly work in cryptology (indeed, perhaps in all of computer science), which is clearly a discipline with a different culture from that of “pure”mathematics. Obviously, these sections could be skipped by an uninterested reader, or remixed away by an instructor for her own particular class approach.

(1 review)

Business Math: A Step-by-Step Handbook

Contributor: Olivier

Publisher: Lyryx

License: CC BY-NC-SA

Business Mathematics was written to meet the needs of a twenty-first century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a step-by-step problem-solving approach.

No ratings

(0 reviews)

Learning Statistics with R: A tutorial for psychology students and other beginners

Contributor: Navarro

Publisher: Danielle Navarro

License: CC BY-SA

Learning Statistics with R covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software. The book discusses how to get started in R as well as giving an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book.

(4 reviews)

Introductory Statistics with Randomization and Simulation - First Edition

Contributors: Diez, Barr, and Çetinkaya-Rundel

Publisher: OpenIntro

License: CC BY-NC-SA

We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods.

(5 reviews)

Advanced High School Statistics - 2nd Edition

Contributors: Diez, Barr, Çetinkaya-Rundel, and Dorazio

Publisher: OpenIntro

License: CC BY-SA

We hope readers will take away three ideas from this book in addition to forming a foundationof statistical thinking and methods.

(4 reviews)

Linear Algebra with Applications

Contributor: Nicholson

Publisher: Lyryx

License: CC BY-NC-SA

After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today's students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning.

(3 reviews)

Introductory Business Statistics

Contributors: Holmes, Illowsky, and Dean

Publisher: OpenStax

License: CC BY

Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.

(9 reviews)

Calculo diferencial e integral

Contributors: Bonacina, Teti, and Haidar

Publisher: LATIn Project

License: CC BY-SA

Esta comunidad tiene como fin construir un texto base, que pretende ser la puerta de entrada al mundo de las matemáticas superiores y sus aplicaciones en el campo de las Ciencias de la Ingeniería.

No ratings

(0 reviews)

Introduction to Statistics

Contributor: Lane

Publisher: David Lane

License: CC0

Introduction to Statistics is a resource for learning and teaching introductory statistics. This work is in the public domain. Therefore, it can be copied and reproduced without limitation. However, we would appreciate a citation where possible. Please cite as: Online Statistics Education: A Multimedia Course of Study (http://onlinestatbook.com/). Project Leader: David M. Lane, Rice University. Instructor's manual, PowerPoint Slides, and additional questions are available.

(15 reviews)