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    Read more about A Primer of Real Analysis

    A Primer of Real Analysis

    Copyright Year:

    Contributor: Sloughter

    Publisher: Dan Sloughter

    License: CC BY-NC-SA

    This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.

    (1 review)

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    Read more about Statistical Inference For Everyone

    Statistical Inference For Everyone

    Copyright Year:

    Contributor: Blais

    Publisher: Brian Blais

    License: CC BY-SA

    This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics 101 college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations and visualizations easier.

    (3 reviews)

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    Read more about Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition

    Introductory Business Statistics with Interactive Spreadsheets - 1st Canadian Edition

    Copyright Year:

    Contributors: Mahbobi and Tiemann

    Publisher: BCcampus

    License: CC BY

    Introductory Business Statistics with Interactive Spreadsheets – 1st Canadian Edition is an adaptation of Thomas K. Tiemann's book, Introductory Business Statistics. This new edition still contains the basic ideas behind statistics, such as populations, samples, the difference between data and information, and sampling distributions as well as information on descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics. New topics include the chi-square test and categorical variables, null and alternative hypotheses for the test of independence, simple linear regression model, least squares method, coefficient of determination, confidence interval for the average of the dependent variable, and prediction interval for a specific value of the dependent variable.

    (4 reviews)

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    Read more about Applied Finite Mathematics

    Applied Finite Mathematics

    Copyright Year:

    Contributor: Sekhon

    Publisher: OpenStax CNX

    License: CC BY

    Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.

    (2 reviews)

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    Read more about Introductory Business Statistics

    Introductory Business Statistics

    Copyright Year:

    Contributor: Tiemann

    Publisher: BCcampus

    License: CC BY

    The book "Introductory Business Statistics" by Thomas K. Tiemann explores the basic ideas behind statistics, such as populations, samples, the difference between data and information, and most importantly sampling distributions. The author covers topics including descriptive statistics and frequency distributions, normal and t-distributions, hypothesis testing, t-tests, f-tests, analysis of variance, non-parametric tests, and regression basics. Using real-world examples throughout the text, the author hopes to help students understand how statistics works, not just how to "get the right number."

    (4 reviews)

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    Read more about Applied Combinatorics

    Applied Combinatorics

    Copyright Year:

    Contributors: Keller and Trotter

    Publisher: Mitchel T. Keller, William T. Trotter

    License: CC BY-SA

    Applied Combinatorics is an open-source textbook for a course covering the fundamental enumeration techniques (permutations, combinations, subsets, pigeon hole principle), recursion and mathematical induction, more advanced enumeration techniques (inclusion-exclusion, generating functions, recurrence relations, Polyá theory), discrete structures (graphs, digraphs, posets, interval orders), and discrete optimization (minimum weight spanning trees, shortest paths, network flows). There are also chapters introducing discrete probability, Ramsey theory, combinatorial applications of network flows, and a few other nuggets of discrete mathematics.

    (2 reviews)

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    Read more about Applied Probability

    Applied Probability

    Copyright Year:

    Contributor: Pfeiffer

    Publisher: OpenStax CNX

    License: CC BY

    This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired.

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    Read more about Introduction to Mathematical Analysis I - Second Edition

    Introduction to Mathematical Analysis I - Second Edition

    Copyright Year:

    Contributors: Lafferriere, Lafferriere, and Nguyen

    Publisher: Portland State University Library

    License: CC BY-NC

    Our goal with this textbook is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.

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    Read more about Introductory Statistics - 2e

    Introductory Statistics - 2e

    Copyright Year:

    Contributors: Illowsky, Dean, Birmajer, Blount, Boyd, Einsohn, Helmreich, Kenyon, Lee, and Taub

    Publisher: OpenStax

    License: CC BY

    Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills.

    (35 reviews)

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    Read more about Combinatorics Through Guided Discovery

    Combinatorics Through Guided Discovery

    Copyright Year:

    Contributor: Bogart

    Publisher: Kenneth P. Bogart

    License: Free Documentation License (GNU)

    This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.

    (2 reviews)

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