Digital library
Textbooks, references and open learning resources.
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Applied Probability
Paul Pfeiffer · Rice University
This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation.
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Math 142: Precalculus II
LibreTexts
In the contents: 6.02: Vectors from an Algebraic Point of View
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MAT 1350: Precalculus Part I
Jay Abramson · Prince George's Community College
In the contents: 1.01: Real Numbers - Algebra Essentials
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Introduction to Groups and Geometries
David W. Lyons · Lebanon Valley College
This text is two textbooks in one: an introduction to group theory, and an introduction to modern geometries using the Kleinian paradigm. The book can be used for a combined one-semester course in both subjects, or, through supplementary projects, it can be used for a one-semester introduction to group theory or a one-semester introduction to modern geometries.
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Computational Physics
Y. D. Chong · Nanyang Technological University
In the contents: 04: Numerical Linear Algebra · 8.01: Sparse Matrix Algebra
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Introductory Statistics
Barbara Illowsky & Susan Dean · De Anza College
This text follows scope and sequence requirements of a one-semester introduction to statistics course and is geared toward students majoring in fields other than math or engineering. The text assumes some knowledge of intermediate algebra and focuses on statistics application over theory. Introductory Statistics includes innovative practical applications that make the text relevant and accessible, as well as collaborative exercises, technology integration problems, and statistics labs.
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Symmetry
Claire Vallance · University of Oxford
Group Theory is a branch of the mathematical field of algebra. One important application, the theory of symmetry groups, is a powerful tool for the prediction of physical properties of molecules and crystals. It is for example possible to determine whether a molecule can have a dipole moment. Many important predictions of spectroscopic experiments (optical, IR or Raman) can be made purely by group theoretical considerations.
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MTH 15: Applied Calculus I
LibreTexts
This calculus course is intended for majors in business and in certain areas of life sciences. The course covers differential calculus of algebraic, exponential, and logarithmic functions, introduction to integral calculus, and applications in business, economics, and the life and social sciences.
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Matrix Analysis
Steve Cox · Rice University
Equilibria and the solution of linear and linear least squares problems. Dynamical systems and the eigenvalue problem with the Jordan form and Laplace transform via complex integration.
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Calculus for Business and Social Sciences Corequisite Workbook
Victoria Dominguez, Cristian Martinez, & Sanaa Saykali · Citrus College
In the contents: 9.04: Rationalize Algebraic Fractions
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All Things Flow - Fluid Mechanics for the Natural Sciences
Bill Smyth · Oregon State University
In the contents: 02: Review of Elementary Linear Algebra
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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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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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Yet Another Calculus Text - A Short Introduction with Infinitesimals
Dan Sloughter · Furman University
This text is an introduction to calculus based on the hyperreal number system and uses infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, none are provided for the hyperreals. The text is aimed primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most o
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Adult Literacy Fundamental Mathematics I
Liz Girard and Wendy Tagami · LibreTexts
This is book one in a six-book series on fundamental mathematics for adult learners. These books include glossaries, self tests, practice requests, grades records, and unit tests. Ancillary Resources include the Instructor's Manual. Topics in this book include: number and number operations, patterns, functions and relations, real life applications, geometry, and time. These books align with the learning outcomes for Adult Fundamental Math as outlined in the BC ABE Articulation Handbook.
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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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Elementary Trigonometry
Michael Corral · Schoolcraft College
This is a text on elementary trigonometry, designed for students who have completed courses in high-school algebra and geometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but a more geometrical approach is taken than usual. Also, some numerical methods (e.g. the secant method for solving trigonometric equations) are discussed. A brief tutorial on using Gnuplot to graph trigonometric functions is included.
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Business Calculus with Excel
Mike May, S.J. & Anneke Bart · Saint Louis University
In the contents: 4.04: Differentiation Using Computer Algebra · 7.05: Integration using Computer Algebra
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Practical Meteorology
Roland Stull · University of British Columbia
This book is an algebra-based survey of atmospheric science. This book is designed for students and professionals who want to understand and apply basic meteorological concepts, but who do not need to derive equations. The equation and could serve the fields of Atmospheric Science, Meteorology, Environmental Science, Engineering, Air Quality, Climatology, and Geography. The text involves primarily algebra to allow the physical meaning.
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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.