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Giáo trình, tài liệu tham khảo và tài nguyên học tập mở.
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Introduction to Algebraic Structures
Tom Denton · Google Research
An algebraic structure is a set (called carrier set or underlying set) with one or more finitary operations defined on it that satisfies a list of axioms. Examples of algebraic structures include groups, rings, fields, and lattices.
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Teachers College, Columbia University
LibreTexts
Có trong mục lục: Mathematics for Elementary Teachers (Manes)
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Tasty Bits of Several Complex Variables
Jiří Lebl · Oklahoma State University
Graduate level mathematics textbook on Several Complex Variables (complex analysis in several variables). A free online textbook based on class notes for the graduate course at Oklahoma State University.
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MAT 2420 Calculus II
LibreTexts
This course continues the study of single variable calculus which will include techniques of integration, analytic geometry, improper integrals, convergence of infinite numerical series and power series.
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Rings with Inquiry
Michael Janssen & Melissa Lindsey · Dordt University & University of Wisconsin-Madison
One of the concepts fundamental to the historical development of algebra is the notion of factorization; closely related questions that have driven the development of algebra over the centuries are: when does a polynomial equation have solutions in a particular number system, and is there a systematic way to find them? The goal of this book is to explore the idea of factorization from an abstract perspective.
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Calculus 2 - Fall 2026
Senorina Vazquez · Hartnell College
This is a second course in differential and integral calculus of a single variable covering integration, techniques of integration, infinite sequences and series, polar and parametric equations, and applications of integration. This text is primarily using Active Calculus by Matthew Boelkins at GVSU and some supplements were gathered from OpenStax for trig substitution, parametric equations, and polar coordinates. (Image Credit: Active Calculus by Matt Boelkins, licensed under CC by SA 4.0)
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Math in Society
David Lippman · Pierce College
This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level quantitative literacy topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics.
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Algebra in Cuneiform
Jens Høyrup · Roskilde University
Có trong mục lục: 1.01: Useless mathematics
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Differential Equations for Engineers
Jiří Lebl · Oklahoma State University
A one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence.
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Math 10: Elementary Statistics
Cliff Hwang · Mission College
Students study probability, descriptive and inferential statistics including probability distribution, hypothesis testing, linear regression and applications.
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Logic for All: An Introduction to Logical Reasoning
Xinyue Wang · Stanford, Online High School
LibreTexts
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Introduction to Real Analysis
William F. Trench · Trinity University
This book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. This book is intended for those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.
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Trigonometry
Ted Sundstrom & Steven Schlicker · Grand Valley State University
This trigonometry textbook this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section.
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Interactive Calculus Q3
Larry Green · Lake_Tahoe_Community_College
The text guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. It focuses on sequences and series, Taylor polynomials, polar coordinates, and differentiation and integration of multivariate functions.
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Math Concurrent Support
LibreTexts
Math Concurrent Support includes content to help prepare students for the rigor of the transfer math course by teaching learning skills necessary to succeed in college courses, as well as review of relevant prerequisite algebraic and geometric concepts, and more in-depth investigation of core concepts in their concurrent math course. (Photo by Ashley McHale)
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Introduction to Game Theory: a Discovery Approach
Jennifer A. Firkins Nordstrom · Linfield College
Many colleges offer courses in quantitative reasoning for all students. One model for a quantitative reasoning course is to provide students with a single cohesive topic. Ideally, such a topic can pique the curiosity of students with wide ranging academic interests and limited mathematical background. This text is intended for use in such a course. This text may also be appropriate for a high school enrichment course.
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Math C170: Precalculus (Tran)
Chau D. Tran · Coastline College
This precalculus textmap is intended for college-level Precalculus students and is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text.
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Math C180: Calculus I
Michael Everett · Coastline College
This is the first course in the calculus sequence. It satisfies the requirement for majors in mathematics, science, or engineering. Topics include limits, derivatives of algebraic and transcendental functions, applications of derivatives, indefinite integrals, definite integrals, the Fundamental Theorem of Calculus, and applications of integration.
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Elementary Calculus 2e
Michael Corral · Schoolcraft College
This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness.
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PreAlgebra
Davis Arnold · College of the Redwoods
This text addresses the fundamentals of arithmetic operations with signed number, including fractions and decimals as well as an introduction to signed numbers, including fractions and decimals as an introduction to some elementary topics in beginning algebra. Topics also include ratios and proportions, perfect squares and their square roots, elementary topics in geometry, systems of measurement, and monomial arithmetic.