Copyright Year:
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.
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Contributor: Nicholson
Publisher: Lyryx
License: CC BY-NC-SA
The aim of this textbook is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work.
(3 reviews)
Copyright Year:
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)
Copyright Year:
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)
Copyright Year:
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)
Copyright Year:
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.
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Copyright Year:
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)
Copyright Year:
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)
Copyright Year:
Contributor: Crump
Publisher: Crump Lab
License: CC BY-SA
This is a free textbook teaching introductory statistics for undergraduates in Psychology. This textbook is part of a larger OER course package for teaching undergraduate statistics in Psychology, including this textbook, a lab manual, and a course website. All of the materials are free and copiable, with source code maintained in Github repositories.
(1 review)
Copyright Year:
Contributor: Hitchman
Publisher: Michael P. Hitchman
License: CC BY-SA
Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe.
(1 review)