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Giáo trình, tài liệu tham khảo và tài nguyên học tập mở.
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Combinatorics and Graph Theory
David Guichard · Whitman College
Combinatorics is often described briefly as being about counting, and indeed counting is a large part of combinatorics.Graph theory is concerned with various types of networks, or really models of networks called graphs. These are not the graphs of analytic geometry, but what are often described as "points connected by lines''.
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Differential Equations and Linear Algebra
Anup Lamichhane · Oho Northern University
In this book, you will learn key techniques for solving differential equations that arise in science and engineering applications. You will also build a strong foundation in linear algebra concepts that support these methods.
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An Inquiry-Based Approach to Abstract Algebra
Dana Ernst · Northern Arizona University
Có trong mục lục: 9.03: A.3- Definitions in Mathematics
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Fundamentals of Matrix Algebra
Gregory Hartman · Virginia Military Institute
This text deals with matrix algebra, as opposed to linear algebra. Without arguing semantics, I view matrix algebra as a subset of linear algebra, focused primarily on basic concepts and solution techniques. There is little formal development of theory and abstract concepts are avoided. This is akin to the master carpenter teaching his apprentice how to use a hammer, saw and plane before teaching how to make a cabinet.
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Discrete Math with SageMath
Hellen Colman · City Colleges of Chicago
This book is intended to provide concise and complete instructions on how to use Sage to solve problems in Discrete Math for a first or second year undergraduate course for math and computer science majors. Our goal is to streamline the learning process with SageMath. This approach helps students focus more on mathematics and reduces the friction of learning how to code. This is a student-created textbook (Open Pedagogy) for more effective alternative in student learning and engagement.
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Corequisite Precalculus
Katherine Skelton · Highline College
This course includes, but not limited to piece-wise, composite, inverse, polynomial, rational, exponential, and logarithmic functions. Also discussed are properties of functions, their relationship to equations and inequalities, as well as applications, and circles.
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MATH 2E: Multivariable Calculus
LibreTexts
The differential and integral calculus of vector-valued functions. Implicit and inverse function theorems. Line and surface integrals, divergence and curl, theorems of Greens, Gauss, and Stokes.
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Calculus Made Easy
Silvanus P. Thompson · City and Guilds Technical College
Calculus Made Easy is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson, considered a classic and elegant introduction to the subject. Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern nonstandard analysis and smooth infinitesimal analysis.
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College Algebra for Liberal Arts and Humanities
Leif Jordan · College of the Desert
A College Level Algebra text designed for students in the Liberal Arts and Humanities. Topics include: Linear, Quadratic, Rational, Exponential and Logarithmic Equations, Inequalities, Graphs and Functions with applications in business, the arts and social sciences. Conic sections, sequences, series, the binomial theorem and some mathematical history are also included.
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Math 372: College Algebra (Lecture Notes)
Roy Simpson · Cosumnes River College
This course provides a rigorous treatment of college-level algebra and its applications, focusing. Topics include polynomial, rational, radical, exponential, absolute value, and logarithmic functions, the graphs of these functions, and solving equations involving these functions; systems of equations; the theory of polynomial equations; analytic geometry including conics; sequences and series; and mathematical induction. Emphasis is given to analytical reasoning and problem-solving.
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Math 121- Plane Trigonometry
Vismar Jay Alfaro · University of Science and Technology of Southern Philippines- Jasaan
This textbook, prepared through LibreTexts, has been developed to support the course Math 121: Plane Trigonometry at USTP–Jasaan. It is designed to provide students with a structured, comprehensive, and engaging resource that aligns with the official course outcomes and weekly schedule.
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Introduction to Matrix Algebra
Autar Kaw · University of South Florida
This book is an extended primer for undergraduate Matrix Algebra. The book is either to be used as a refresher material for students who have already taken a course in Matrix Algebra or as a just-in-time tool if the burden of teaching Matrix Algebra has been distributed to several courses.
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First-Semester Abstract Algebra: A Structural Approach
Jessica K. Sklar · Pacific Lutheran University
This text is specifically designed to suit a single-semester introductory abstract course, rather than to be a comprehensive reference source.
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An Introduction to Number Theory
J. J. P. Veerman · Portland State University
These notes are intended for a graduate course in Number Theory. No prior familiarity with number theory is assumed. Chapters 1-6 represent approximately 1 trimester of the course. Eventually we intend to publish a full year (3 trimesters) course on number theory.
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College Algebra
Jay Abramson · Arizona State University
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebraoffers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
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Introduction to Statistics (RRCC)
Mathematics Department · Red Rocks Community College
This student-centered, open-source stats textbook builds conceptual understanding through real data, visuals, and interactive tools. Covering core topics like sampling, inference, and regression, it features step-by-step explanations, a semester-long housing project, and digital-friendly delivery. Designed for clarity, engagement, and flexibility, it's ideal for both students and instructors seeking practical, adaptable statistics resources.
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MATH11003 College Algebra
Leslie Shults & Teresa Jennings · Arkansas State University-Beebe
College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they’ve learned.
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Math C185: Calculus II
Michael Everett · Coastline College
LibreTexts
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Math 10: College Algebra
Leif Jordan · College of the Desert
This course examines the general concept of a function and function notation, as well as an in depth investigation of polynomial, rational, exponential, and logarithmic functions, particularly their equations, graphs, and behavior. Applications of linear, quadratic and exponential models is included.
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Inclusion, Education and Translanguaging
Julie A. Panagiotopoulou, Lisa Rosen, and Jenna Strzykala Eds. · LibreTexts
The idea for this text came about when we visited Ofelia García in New York in the fall of 2017 to observe and experience translanguaging live—in a mathematics lesson at a bilingual primary school in Queens—during a research visit. This was a special event for us because we had by then been dealing with the concept for years and were constantly confronted with the standard question of how translanguaging can be put into practice in the context of teacher education, congresses and conferences.