Browse Items (69 total)

  • Subject is exactly "Mathematics"

Proofs and Concepts: The Fundamentals of Abstract Mathematics

Proofs  and  Concepts  The  Fundamentals of Abstract Mathematics.pdf
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…

Advanced Problems in Mathematics: Preparing for University

633792.pdf

" 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…

Fundamentals of Mathematics

Fundamentals of Mathematics.pdf
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…

Fast Fourier Transforms

Fast Fourier Transforms.pdf
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 College Geometry

Elementary College Geometry.pdf
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…

Applied Finite Mathematics

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

A Primer of Real Analysis

A Primer of Real Analysis.pdf
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

app-comb-2017.pdf
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 Applied Mathematics

MATH_S122_Free_Courseware_10561.pdf
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…

Calculus Volume 2

Calculus Volume 2.pdf
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 Volume 1.pdf
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

Algebra and Trigonometry.pdf
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

Discrete Mathematics.pdf
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

Combinatorics Through Guided Discovery.pdf
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

A Story of Real Analysis.pdf
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.pdf
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

Dalton State College APEX Calculus.pdf
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

Armstrong Calculus.pdf
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

A Spiral Workbook for Discrete Mathematics.pdf
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…

Geometry

Geometry.pdf
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 applications…

Calculus

CALCULUS.pdf
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 “Calc :”…

Precalculus

Precalculus.pdf
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…

Physical Modeling in MATLAB

Physics Modeling in Matlab.pdf
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…

Math in Society

Math in Socienty.pdf
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…

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Introduction to Modern Set Theory

Introduction to Modern Set Theory.pdf
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

Introduction to Defferential Equations.pdf
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 examples…

Combinatorics

Combinatorics.pdf
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

Calculus for The Life Sciences A Modeling Approach Volume II.pdf
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

Calculus for The Life Sciences A Modeling Approach Volume I.pdf
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.pdf
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…

Statistical Analysis with The General Linear Model

Statistical Analysis with The General Linear Model.pdf
This course is about a large and complex set of statistical methods tied together by a unifying conceptual framework known as “The General Linear Model” (GLM). This model can be used to answer an amazing variety of research questions within an…

Active Calculus Multivariable

Active Calculus-Multivariable.pdf
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…

Abstract Algebra

Abstract Algebra.pdf
This text is intended for a one or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several…

Introduction to Probability

15.amsbook.mac.pdf
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

10.pdf
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…

Introduction to Numerical Methods and Matlab Programming for Engineers

7.pdf
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…

Introduction to Numerical Methods

4.pdf
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…

Fundamentals of Matrix Algebra

Fundamentals-of-Matrix-Algebra-3rd-Edition-1.pdf
A college-level (or advanced high school) text dealing with the basic principles of matrix and linear algebra, this text covers systems of linear equations, matrix arithmetic, and the determinant, eigenvalues, and linear transformations.

Calculus-Based Physics I

Calculus-Based Physics I.pdf
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.

Basic Analysis: Introduction to Real Analysis

Basic Analysis.pdf
A first course in mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces.

An Introduction to MATLAB and Mathcad

An Introduction to Matlab and Mathcad.pdf
An introduction to programming and problem solving using both MATLAB and Mathcad.

Graph Theory

Graph Theory.pdf
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

TRENCH_FREE_DIFFEQ_I.pdf
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…

Active Calculus 2.0

Active Calculus 2.0.pdf
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

Precalculus.pdf
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

Precalculus 1.pdf
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 1.0.pdf
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…

Elementary Algebra

Elementary Algebra.pdf
This is the Elementary Algebra textbook used by the Department of Mathematics in their Elementary Algebra course at College of the Redwoods, Eureka, California.
License: Creative Commons Attribution Sharealike Noncommercial. This license is very…

OpenIntro Statistics

OpenIntro Statistics.pdf
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

Introductory Algebra Student Workbook.pdf
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.pdf
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

Prealgebra.pdf
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…

Pre-Algebra

Pre-Algebra.pdf
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…

Basic Arithmetic Student Workbook

Basic Arithmetic Workbook.pdf
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

Arithmetic for College Students.pdf
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…

Calculus Early Transcendental: an Open Text

Guichard-Calculus-EarlyTranscendentals-2017A.pdf
Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and…

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A Friendly Introduction to Differential Equations

DifferentialEquation.pdf
n this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations,…

A First Course in Linear Algebra

AljabarLinear.pdf
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…

Linear Algebra

LinearAlgebra.pdf
This book helps students to master the material of a standard US undergraduate first course in Linear Algebra.
The material is standard in that the subjects covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues…

Contemporary Calculus

CC_I_ch_0to3.pdf
How to Succeed in Beginning Calculus
Calculus is the mathematics of CHANGE and almost everything in our world is changing.
Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it…

Exact Trig Values - Hand Trick

https://i.ytimg.com/vi/PF2nmCVSUEs/default.jpg
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

https://i.ytimg.com/vi/EUsaM8zTPxk/default.jpg
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/…