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Elementary Algebra
Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. Use of this book will help the student develop the insight and intuition necessary to master algebraic techniques and manipulative…
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…
Linear Algebra, Theory And Applications
This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more…
Advanced Problems in Mathematics: Preparing for University
" This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional…
Introduction to Real Analysis
This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also…
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…
have had…
Fast Fourier Transforms
This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in…
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…
An elementary text should be written so the student…
Elementary College Geometry
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra.
The…
The…
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.
College Algebra
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…
Applied Probability
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…
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…
A Computational Introduction to Number Theory and Algebra
All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are…
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…
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 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…
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…
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…
A Story of Real Analysis
The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a…
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
…
Topics covered in this text include:
Limits
…
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…
Explaining Criminal Career
Explaining Criminal Careers presents a simple quantitative theory of crime, conviction and reconviction, the assumptions of the theory are derived directly from a detailed analysis of cohort samples drawn from the “UK Home Office” Offenders Index…
Geometry
Geometry is used in many areas—from art to science. For example, geometry plays a key role in construction, fashion design, architecture, and computer graphics. This course focuses on the main ideas of geometry that are the foundation of…
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…
• The…
Physical Modeling in MATLAB
Most books that use MATLAB are aimed at readers who know how to program. This book is for people who have never programmed before.
As a result, the order of presentation is unusual. The book starts with scalar values and works up to vectors and…
As a result, the order of presentation is unusual. The book starts with scalar values and works up to vectors and…
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…
Introduction to Differential Equations
Much of the material of Chapters 2-6 and 8 has been adapted from thewidely used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, ○c 2001). Many of the…
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
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
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…
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…
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…
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…
classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion
principle, and in mathematics…
Introduction to Numerical Methods and Matlab Programming for Engineers
These notes were developed by the firsht author in the process of teaching a course on applied
numerical methods for Civil Engineering majors during 2002-2004 and was modified to include
Mechanical Engineering in 2005. The materials have been…
numerical methods for Civil Engineering majors during 2002-2004 and was modified to include
Mechanical Engineering in 2005. The materials have been…
Introduction to Numerical Methods
What follows are my lecture notes for Math 3311: Introduction to Numerical Methods, taught at the Hong Kong University of Science and Technology. Math 3311, with two lecture hours per week, is primarily for non-mathematics majors and is required by…
Calculus-Based Physics I
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. This is the first of two textbooks for this course.
An Introduction to MATLAB and Mathcad
An introduction to programming and problem solving using both MATLAB and Mathcad.
Graph Theory
This is a set of lecture notes for Math 485–Penn State’s undergraduate Graph Theory course. Readers should have taken a course in combinatorial proof and ideally matrix algebra.
Elementary Diferrential Equantions
Elementary Differential Equations by William F. Trench Andrew G. Cowles Distinguished Professor Emeritus, Department of Mathematics, Trinity University, San Antonio, Texas, USA,Previously published by Brooks/Cole Thomson Learning, 2000. This book has…
OpenIntro Statistics
The OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. The inaugural effort is OpenIntro Statistics. Probability is…
Introductory Algebra Student Workbook
This workbook was created through the efforts of instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and…
Beginning and Intermediate Algebra
Beginning and Intermediate Algebra was designed to reduce textbook costs to students while not reducing the quality of materials. This text includes many detailed examples for each section along with several problems for students to practice and…
Prealgebra
A clear, methodical approach to topics in prealgebra, with good explanations of concepts. This book includes plenty of examples and then exercises. Equation solving is started earlier and used throughout.
Geometric topics (e.g., area and…
Geometric topics (e.g., area and…
Pre-Algebra
A pre-algebra text, written by Angela Milano from American River College. For each section the text includes a student activity, narrative text with examples, and exercises.
License: Creative Commons Attribution Sharealike Noncommercial. This…
License: Creative Commons Attribution Sharealike Noncommercial. This…
Basic Arithmetic Student Workbook
This workbook was created through the efforts of three instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully…
Arithmetic for College Students
This book is a course on arithmetic designed for college students. It covers whole numbers, fractions, decimals, percents, ratios and proportions, measurement, and integers. Geometry and statistics are integrated throughout the text rather than…
A First Course in Linear Algebra
In this book, there are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice…
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…
In this video we will discover one method of remember what these values are - by counting fingers on our hand!
In the first…