Digital library
Textbooks, references and open learning resources.
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Math 3AC: Analytic Geometry and Calculus I
Kenn Huber · Irvine Valley College
A new take on the classic mathematical approach of learning Precalculus and Calculus separately, this book merges the two topics together. Using calculus notation to inspire the precalculus examples helps students of either a Precalculus or Calculus with support course.
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Geometry
CK-12 Foundation · LibreTexts
In the contents: 01: Basics of Geometry · 1.01: Geometry Terms · 2.18: Indirect Proof in Algebra and Geometry
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Analytic Geometry and Calculus 1 (IVC Math C2210 - Huber)
Kenn Huber · Irvine Valley College
LibreTexts
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Elementary College Geometry
Henry Africk · CUNY New York City College of Technology
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 emphasis is on applying basic geometric principles to the numerical solution of problems.
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Geometry with an Introduction to Cosmic Topology
Michael P. Hitchman · Linfield College
In the contents: 01: An Invitation to Geometry · 1.02: A Brief History of Geometry · 1.03: Geometry on Surfaces- A First Look
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Modern Geometry
Wayne Bishop · California State University, Los Angeles
In the contents: 02: More Elementary Neutral Geometry · 2.01: Elementary Neutral Geometry · 03: Introduction to Hyperbolic Geometry
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Analytic Geometry and Calculus I (IVC Math 3A OER)
Leonard Lamp, Kenn Huber & Mohamad Youssef · Irvine Valley College
This course covers basic concepts of analytic geometry, limits and continuity; and differentiation and integration of algebraic, trigonometric, exponential, logarithmic and hyperbolic functions. Applications include related rates and optimization problems. L'hospital's rule is studied. Credit may be earned in MATH 3A or 3AH, but not both. C-ID: MATH 210
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NBAS022 - Geometry
JJ Johnson · Rio Hondo College
LibreTexts
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Geometry with an Introduction to Cosmic Topology
Michael Hitchman · Michael P. Hitchman · 2020
Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe. The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geometry it admits. Geometry is suitable for a semester course in non-Euclidean geometry or as a guide to independent study, with over 200 exercises and several essays on topics including the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.
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Elementary College Geometry
Henry Africk · CUNY Academic Works · 2021
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 emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively. The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject. This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.
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Algorithms and Data Structures With Applications to Graphics and Geometry
Jurg Nievergelt; Klaus Hinrichs · Global Text Project · 2011
An introductory coverage of algorithms and data structures with application to graphics and geometry.
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Fundamentals of Mathematics
Denny Burzynski & Wade Ellis, Jr. · College of Southern Nevada
In the contents: 09: Measurement and Geometry
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Introduction to General chemistry Lab Manual Chem 2A-Labs
Divan Fard · Shasta College
This introductory chemistry laboratory manual provides students with hands-on experiences that reinforce fundamental chemical concepts while developing essential laboratory skills. Experiments include laboratory safety, the scientific method, measurement and density, separation techniques, physical and chemical properties, chemical reactions and equations, flame tests, empirical formulas and hydrates, decomposition reactions, molecular geometry, gas laws, and intermolecular forces. Through obser
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Applied Geometric Algebra (Tisza)
László Tisza · Massachusetts Institute of Technology
In the contents: 1.02: The geometry of the three-dimensional rotation group. The Rodrigues-Hamilton theorem
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College Algebra and Trigonometry
Richard W. Beveridge · Clatsop Community College
This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.
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Open Algebra and Knots
Matthew Salomone · Bridgewater State University
The theory of knots has been well studied since the early 20th century, and has many connections to geometry and topology, and applications to physics, biology, and beyond. We’ll investigate perhaps its most fundamental connection: to algebra. In what ways are knots algebraic objects? How can we use algebraic structures and reasoning to classify knots? And how can this help us to think algebraically beyond the classroom?
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Technical Mathematics SJDC 1
Jacquelynn Schwegel · San Joaquin Delta College
In the contents: 06: Geometry
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Interactive Linear Algebra
Dan Margalit & Joseph Rabinoff · Georgia Institute of Technology
In the contents: 02: Systems of Linear Equations- Geometry
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Math 15E - Concurrent Support for Quantitative Reasoning
LibreTexts
Topics from intermediate algebra and geometry are covered to build a foundation for college-level quantitative reasoning. Strategic reading, critical thinking and problem solving are incorporated to build the strategies needed to solve contextualized problems. Topics in the area of study skills and metacognition are also included to support students in a college level math course.
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College Technical Math 1A (NWTC)
Rachel Johnson · Northeast Wisconsin Technical College
In the contents: 07: Geometry