510 Mathematics

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510 Mathematics

Items in the 510 Mathematics Collection

Introduction to Financial Mathematics Concepts and Computational Methods
Introduction to Financial Mathematics: Concepts and Computational Methods serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk…

An Introduction to Matlab and Mathcad
This textbook, or really a “coursebook” for a college freshman-level class, has been updated for Spring 2014 and provides an introduction to programming and problem solving using both Matlab and Mathcad. We provide a balanced selection of…

Proofs and Concepts: The Fundamentals of Abstract Mathematics
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…

The Simple Math of Writing Well: Writing for the 21st Century
Writing guides abound, but The Simple Math of Writing Well is one of a kind. Readers will find its practical approach affirming, encouraging, and informative, and its focus on the basics of linguistic structure releases 21st-century writers to…

Fundamentals of Mathematics
Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who:

have had…

Elementary Differential Equations with Boundary Value Problems
Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation.

An elementary text should be written so the student…

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

Advanced Algebra II: Conceptual Explanations
This module contains a table of every module within the three books of Kenny Felder's course on "Algebra II", with links to the modules.

A Primer of Real Analysis
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…

Applied Combinatorics
As we hope you will sense right from the beginning, we believe that combinatorial
mathematics is one of the most fascinating and captivating subjects on the planet.
Combinatorics is very concrete and has a wide range of applications, but it also…

A Foundation In Pure Mathematics<br />
Everyone in Hong Kong has heard of the Mark Six! Players select six different numbers from 49 possibilities in the hope of winning a small fortune - or possibly even a large one.
So how many different choices of six numbers out of 49 are there? If…

A Foundation In Applied Mathematics
This module develops concepts and techniques for studying functions. You will learn about one of the foundations of applied mathematics, i.e. the algebraic and graphic methods for studying functions.
You'll be introduced to clear define and…

Collaborative Statistics
Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honors-level classroom settings and…

Calculus Volume 2
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…

Calculus Volume 1
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…

Algebra and Trigonometry
lgebraic principles. The text is suitable for a typical introductory Algebra & Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of…

The Curious Country
By definition scientists are an inquisitive lot. But what are the scientific curiosities and concerns on the minds of Australians? What worries them, baffles them, and sets their curiosity meter to 10 out of 10? To find out, the Office of the Chief…

Discrete Mathematics
his text was written to be used as the primary text for the class Discrete Mathematics (Math 228) at the University of Northern Colorado. The course serves as the role of a transitions course (introduction to proof), as well as an introduction to…

Combinatorics Through Guided Discovery
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 consist almost entirely of…

Introduction to the Modeling and Analysis of Complex Systems
Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a…

Dalton State College APEX Calculus
This text for Analytic Geometry and Calculus I, II, and III is a Dalton State College remix of APEX Calculus 3.0. The text was created through a Round Six ALG Textbook Transformation Grant.

Topics covered in this text include:

Limits

Armstrong Calculus
The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and…

A Spiral Workbook for Discrete Mathematics
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains…

Calculus
This text comprises a three–volume series on Calculus. The first part covers material taught in many “Calc ” courses: limits, derivaves, and the basics of integraon, found in Chapters through . The second text covers material oen taught in…

Precalculus
There are key differences between the way teaching and learning takes place in high schools and universities. Our goal is much more than just getting you to reproduce what was done in the classroom. Here are some key points to keep in mind:
• The…

Mathematical Reasoning: Writing and Proof
Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs. Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics.…

Math in Society
Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are…

Introduction to Modern Set Theory
Introduction to Modern Set Theory is designed for a one-semester course in set theory at the advanced undergraduate or beginning graduate level. Three features are the full integration into the text of the study of models of set theory, the use of…

Combinatorics
Combinatorics is a subfield of "discrete mathematics," so we should begin by asking what discrete mathematics means. The differences are to some extent a matter of opinion, and various mathematicians might classify specific topics…

Calculus for The Life Sciences A Modeling Approach Volume II
In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and…

Calculus For the Life Sciences: A Modeling Approach Volume I<br />
In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and…

Applied Discrete Structures<br />
Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The…

Applied Calculus
An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus. This book is heavily remixed from Dale Hoffman's Contemporary Calculus textbook, and retains the same conceptual focus from that…

Vector Calculus
This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”, or simply “Calculus III”. The prerequisites are the standard courses in…

Active Calculus Multivariable
In Active Calculus - Multivariable, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of…

Introduction to Logic and Critical Thinking Version 1.4<br />
This is an introductory textbook in logic and critical thinking. The goal of the
textbook is to provide the reader with a set of tools and skills that will enable
them to identify and evaluate arguments. The book is intended for an
introductory…

Fundamental Methods of Logic

There’s an ancient view, still widely held, that what makes human beings special—what distinguishes us from the “beasts of the field”—is that we are rational. What does rationality consist in? That’s a vexed question, but one possible…

Introduction to Probability
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 continued to…

Analysis of Variance (ANOVA)
A description of the concepts behind Analysis of Variance. Also, see this site: http://www.psych.utah.edu/stat/introstats/anovaflash.html for a "hands-on" experience.

Statistical Mechanics
This is a book about statistical mechanics at the advanced undergraduate level. It assumes a background in
classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion
principle, and in mathematics…

For All X; The Lorain County Remix
This book was created by combining two previous books on logic and critical thinking, both made available under a Creative Commons license, and then adding some material so that the coverage matched that of commonly used logic textbooks.

Active Calculus 2.0
Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live…

Precalculus: An Investigation of Functions (Includes Trig) 2nd Ed
The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on…

Precalculus: An Investigation of Functions (Includes Trig) 1st Ed
The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on…

Active Calculus 1.0
Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html…

Exact Trig Values - Hand Trick
There are some key angles that have exact values in trigonometry. The ones we need to know are 0, 30, 45, 60 and 90.

In this video we will discover one method of remember what these values are - by counting fingers on our hand!

In the first…

Pure  Mathematics
What is PURE MATHEMATICS? What does PURE MATHEMATICS mean? PURE MATHEMATICS meaning - PURE MATHEMATICS definition - PURE MATHEMATICS explanation.

Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/…

Functions and Relations
Part of the NCSSM Online AP Calculus Collection: This video deals with transformations of functions including parent functions and the library of functions and relations. http://www.dlt.ncssm.edu

Please attribute this work as being created by the…

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