Mathematics Textbooks

Proofs and Concepts: The Fundamentals of Abstract Mathematics

Authors: Morris and Morris

Publisher: Dave Witte Morris, Joy Morris

License: CC BY-NC-SA

This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.

(6 reviews)

Applied Finite Mathematics

Editor: 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)

Calculus-Based Physics I

Author: Schnick

Publisher: Jeffrey W. Schnick

License: CC BY-SA

Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.

(1 review)

Calculus-Based Physics II

Author: Schnick

Publisher: Jeffrey W. Schnick

License: CC BY-SA

Calculus-Based Physics is an introductory physics textbook designed for use in the two-semester introductory physics course typically taken by science and engineering students.

(1 review)

Introductory Business Statistics

Author: 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)

Calculus Volume 2

Author: Strang

Publisher: OpenStax

License: CC BY-NC-SA

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

(2 reviews)

Calculus Volume 3

Author: Strang

Publisher: OpenStax

License: CC BY-NC-SA

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.

(2 reviews)

Principles of Business Statistics

Editor: Nica

Publisher: OpenStax CNX

License: CC BY

You are probably asking yourself the question, "When and where will I use statistics?". If you read any newspaper or watch television, or use the Internet, you will see statistical information. There are statistics about crime, sports, education, politics, and real estate. Typically, when you read a newspaper article or watch a news program on television, you are given sample information. With this information, you may make a decision about the correctness of a statement, claim, or "fact." Statistical methods can help you make the "best educated guess."

(2 reviews)

Applied Combinatorics

Authors: 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)

Open Logic Project

Authors: Zach, Arana, Avigad, Dean, Russell, Wyatt, and Yap

Publisher: Open Logic Text

License: CC BY

The Open Logic Text is an open-source, collaborative textbook of formal meta-logic and formal methods, starting at an intermediate level (i.e., after an introductory formal logic course). Though aimed at a non-mathematical audience (in particular, students of philosophy and computer science), it is rigorous.

(1 review)

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