Search results for "Mathematics & Statistics "

Read more about Linear Algebra

Linear Algebra

Copyright Year: 2016

Contributor: Hefferon

Publisher: Jim Hefferon

License: CC BY-SA

This text covers the standard material for a US undergraduate first course: linear systems and Gauss's Method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues, as well as additional topics such as introductions to various applications. It has extensive exercise sets with worked answers to all exercises, including proofs, beamer slides for classroom use, and a lab manual for computer work. The approach is developmental. Although everything is proved, it introduces the material with a great deal of motivation, many computational examples, and exercises that range from routine verifications to a few challenges. Ancillary materials are available at the publisher link.

(4 reviews)

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Read more about Introduction to Probability

Introduction to Probability

Copyright Year: 1997

Contributors: Grinstead and Snell

Publisher: American Mathematical Society

License: Free Documentation License (GNU)

Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continuedto influence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a wellestablished branch of mathematics that finds applications in every area of scholarlyactivity from music to physics, and in daily experience from weather prediction topredicting the risks of new medical treatments.

(6 reviews)

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Read more about International Trade: Theory and Policy

International Trade: Theory and Policy

Copyright Year: 2010

Contributor: Suranovic

Publisher: Saylor Foundation

License: CC BY-NC-SA

International Trade: Theory and Policy is built on Steve Suranovic's belief that to understand the international economy, students need to learn how economic models are applied to real world problems. It is true what they say, that ”economists do it with models.“ That's because economic models provide insights about the world that are simply not obtainable solely by discussion of the issues. International Trade: Theory and Policy presents a variety of international trade models including the Ricardian model, the Heckscher-Ohlin model, and the monopolistic competition model. It includes trade policy analysis in both perfectly competitive and imperfectly competitive markets.

(3 reviews)

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Read more about International Finance: Theory and Policy

International Finance: Theory and Policy

Copyright Year: 2010

Contributor: Suranovic

Publisher: Saylor Foundation

License: CC BY-NC-SA

International Finance Theory and Policy is built on Steve Suranovic's belief that to understand the international economy, students need to learn how economic models are applied to real world problems. It is true what they say, that ”economists do it with models.“ That's because economic models provide insights about the world that are simply not obtainable solely by discussion of the issues.

(4 reviews)

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Read more about Elementary Algebra

Elementary Algebra

Copyright Year: 2011

Contributor: Redden

Publisher: Saylor Foundation

License: CC BY-NC-SA

It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, elementary algebra and intermediate algebra. This textbook, Elementary Algebra, is the first part, written in a clear and concise manner, making no assumption of prior algebra experience. It carefully guides students from the basics to the more advanced techniques required to be successful in the next course.

(12 reviews)

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Read more about College Algebra

College Algebra

Copyright Year: 2013

Contributors: Stitz and Zeager

Publisher: Stitz Zeager Open Source Mathematics

License: CC BY-NC-SA

College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely.

(11 reviews)

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Read more about Calculus

Calculus

Copyright Year: 1991

Contributor: Strang

Publisher: Wellesley-Cambridge Press

License: CC BY-NC-SA

Published in 1991 by Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.

(3 reviews)

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Read more about Book of Proof - Third Edition

Book of Proof - Third Edition

Copyright Year: 2013

Contributor: Hammack

Publisher: Richard Hammack

License: CC BY-ND

This is a book about how to prove theorems.

(6 reviews)

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Read more about A First Course in Linear Algebra

A First Course in Linear Algebra

Copyright Year: 2015

Contributor: Beezer

Publisher: Robert Beezer

License: Free Documentation License (GNU)

A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically students will have taken calculus, but it is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Determinants and eigenvalues are covered along the way.

(11 reviews)

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