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Textbooks, references and open learning resources.
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Fundamentals of Mathematics
Denny Burzynski; Wade Ellis · OpenStax CNX · 2008
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 previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.
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Intermediate Algebra
John Redden · Saylor Foundation · 2012
It is essential to lay a solid foundation in mathematics if a student is to be competitive in today's global market. The importance of algebra, in particular, cannot be overstated, as it is the basis of all mathematical modeling used in applications found in all disciplines. Traditionally, the study of algebra is separated into a two parts, Elementary and Intermediate Algebra. This textbook by John Redden, Intermediate Algebra, is the second part. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study in applications found in most disciplines. Used as a standalone textbook, Intermediate Algebra offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra. While CAS independent, a standard scientific calculator will be required and further research using technology is encouraged. Intermediate Algebra is written from the ground up in an open and modular format, allowing the instructor to modify it and leverage their individual expertise as a means to maximize the student experience and success. A more modernized element, embedded video examples, are present, but the importance of practice with pencil and paper is consistently stressed. Therefore, this text respects the traditional approaches to algebra pedagogy while enhancing it with the technology available today. The importance of Algebra cannot be overstated; it is the basis for all mathematical modeling used in all disciplines. After completing a course sequence based on Elementary and Intermediate Algebra, students will be on firm footing for success in higher-level studies at the college level.
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College Trigonometry
Carl Stitz; Jeff Zeager · Stitz Zeager Open Source Mathematics · 2011
Covers chapters 10-11 of Precalculus.
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Network quality control
Peter Teunissen · TU Delft Open · 2024
The aim of computing a geodetic network is to determine the geometry of the configuration of a set of points from spatial observations (e.g. GPS baselines and/or terrestrial measurements). The configuration of points usually consists of newly established points, of which the coordinates still need to be determined, and already existing points, the so-called control points, of which the coordinates are known. Network quality control deals with the qualitative aspects of network design, network adjustment, network validation and network connection. By means of a network adjustment the relative geometry of the new points is determined and integrated into the geometry of the existing control points. Prior to the network adjustment, the geometry of the network is designed on the basis of precision and reliability criteria. The adjustment and validation of the overall geometry can be divided in two phases, the free network phase and the connected network phase. In the free network phase, the known coordinates of the control points do not take part in the adjustment and validation. The possible use of a free network phase is based on the idea that a good geodetic network should be sufficiently precise and reliable in itself, without the need of external control. Moreover, it allows one to validate the quality of the external control. In the connected network phase, the geometry of the free network is integrated into the geometry of the control points. Adjustment and validation in this second phase differs from the free network phase. The adjustment in the second phase is a constrained connection adjustment, since it is often not practical to see the coordinates of the control points change every time a free network is connected to them. For the validation of the connected network however, the unconstrained connected adjustment is used as input. This allows one to take the intrinsic uncertainty of the coordinates of the control points in the connection phase into account. T
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Mathematics for Game Developers
Denny Burzynski · College of Southern Nevada
In the contents: 3.07: The Cross Product- Geometry
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The Islamic World
SmartHistory of Art · Smarthistory
In the contents: 1.08: The complex geometry of Islamic design
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Math 27: Number Systems for Educators
Ashley McHale · Las Positas College
In the contents: 07: Geometry · 7.13: Geometry in Art and Science
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Math 150: Survey of Math
Leah Griffith, Veronica Holbrook, Johnny Johnson & Nancy Garcia · Rio Hondo College
In the contents: 06: Measurement and Geometry · 6.02: Geometry
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B-CU: CH-141 General Chemistry 1
Sidney Bolden Jr. · Bethune-Cookman University
In the contents: 4: Chemical Bonding and Molecular Geometry · 4.0: Prelude to Chemical Bonding and Molecular Geometry · 4.E: Chemical Bonding and Molecular Geometry (Exercises)
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Quantway Core
Carnegie Math Pathways · WestEd
In the contents: 5.22: Fundamentals 21A - GeometryPerimeter Area and Volume
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Analysis
CK-Foundation · LibreTexts
In the contents: 6.2.04: Parabolas and Analytic Geometry
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A First Journey Through Linear Algebra
LibreTexts
In the contents: 1.01: Systems of Equations Geometry
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MATH 2514 Calculus III
LibreTexts
In the contents: Chapter 11: Vectors and the Geometry of Space
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Introduction to Computer Graphics
David J. Eck · Hobart and William Smith Colleges
In the contents: 03: OpenGL 1.1- Geometry
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Advanced Theoretical Chemistry
Jack Simons · University of Utah
In the contents: 3.01: Strategies for Geometry Optimization and Finding Transition States
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Organometallic Chemistry
Michael Evans · Georgia Tech
In the contents: 3.04: Predicting the Geometry of Organometallic Complexes
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Structure & Reactivity II: Purification and Spectroscopy
Chris Schaller · College of Saint Benedict/Saint John's University
In the contents: 4.04: Factors in Chemical Shift- Carbon Geometry
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Prealgebra
OpenStax · LibreTexts
In the contents: 09: Math Models and Geometry · 9.06: Solve Geometry Applications- Circles and Irregular Figures · 9.07: Solve Geometry Applications- Volume and Surface Area
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Coastal Dynamics
Judith Bosboom & Marcel J.F. Stive · Delft University of Technology
In the contents: 10.06: The inner basin geometry · 9.6.1: Complex geometry of tidal basins
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Calculus - Early Transcendentals
LibreTexts · LibreTexts
In the contents: 12: Vectors and The Geometry of Space