Thư viện số
Giáo trình, tài liệu tham khảo và tài nguyên học tập mở.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
Math C185: Calculus II
Michael Everett · Coastline College
LibreTexts
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
Math 140: College Algebra Workbook with Desmos Applications
Lynda Zenati · Olive Harvey College
Có trong mục lục: 9.04: Using Desmos to Model Mathematics in the Real World
Nguồn ngoài
Math 081: Introduction to Algebra
Patrick Kwoni · Highline College
This text addresses beginning algebra and aims to develop proficiency in fraction and signed number arithmetic, evaluation of expressions, and solving linear equations in one variable.
Nguồn ngoài
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.
Nguồn ngoài
Teachers College, Columbia University
LibreTexts
Có trong mục lục: Mathematics for Elementary Teachers (Manes)
Nguồn ngoài
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.
Nguồn ngoài
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.
Nguồn ngoài
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.