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Open Algebra and Knots

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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?

GNU FDLAbstract and Geometric AlgebraMathematics 0 lượt xem
Statistical Mechanics

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Statistical Mechanics

Daniel F. Styer · Oberlin College

This is a book about statistical mechanics at the advanced undergraduate level. It assumes a background in classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion principle, and in mathematics through multivariate calculus.

CC BY-SAThermodynamics and Statistical MechanicsPhysics 0 lượt xem
Astronomy for Educators

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Astronomy for Educators

Daniel E. Barth · University of Arkansas, Fayetteville

Astronomy for Educators provides new and accomplished K-12 instructors with concepts and projects for low-cost, high-impact STEM classroom instruction that is built around the National Academies National Research Council's K-12 Framework for Science Education.

CC BY-NC-SAAstronomy CosmologyPhysics 0 lượt xem
EI

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Electromagnetics I

Steven W. Ellingson · Virginia Tech

This book is intended to serve as a primary textbook for a one-semester introductory course in undergraduate engineering electromagnetics, including the following topics: electric and magnetic fields; electromagnetic properties of materials; electromagnetic waves; and devices that operate according to associated electromagnetic principles including resistors, capacitors, inductors, transformers, generators, and transmission lines.

CC BY-SAElectricity and MagnetismPhysics 0 lượt xem
Relativity Lite - A Pictorial Translation of Einstein’s Theories of Motion and Gravity

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Relativity Lite - A Pictorial Translation of Einstein’s Theories of Motion and Gravity

Jack C. Straton · Portland State University

Relativity Lite is designed for courses like my 100-student General Astronomy sequence. Relativity Lite translates the mathematical equations conventional relativity texts rely upon into pictures that are readily understood and contain within them the mathematical essentials. This new book would provide the comprehensive coverage needed to understand, in sufficient depth, these three linked areas of our reality.

CC BY-NCRelativityPhysics 0 lượt xem
Philosophy

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Philosophy

CK12 · LibreTexts

Có trong mục lục: 04: Metaphysics

CK-12PhilosophyK-12 Education 0 lượt xem
The Astronomer's Guide to the Universe

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The Astronomer's Guide to the Universe

Alessandro Baldi · Butte College

An introductory astronomy textbook covering the solar system, stars, galaxies, cosmology, and the methods astronomers use to understand the universe. Adapted from OpenStax Astronomy for an introductory college astronomy course.

Physics 0 lượt xem
Introduction to Soil Science Laboratory Manual (Schwyter and Vaughan)

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Introduction to Soil Science Laboratory Manual (Schwyter and Vaughan)

Anna R. Schwyter and Karen L. Vaughan · University of Wyoming

Có trong mục lục: 05: Soil Physics and Water Relations

CC BYSoil ScienceGeosciences 0 lượt xem
Astrobiology

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Astrobiology

Debra Fischer, Allyson Sheffield, Joshua Tan, and Lily Ling Zhao · LibreTexts

Interested in what scientists have been doing to investigate the existence of life in the Universe? This text will explore the different avenues that can be taken in trying to answer the question, "Is there life beyond the Earth?"

CC BY-NC-SAAstronomy CosmologyPhysics 0 lượt xem
Mechanics and Relativity

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Mechanics and Relativity

Timon Idema · Delft University of Technology

In Mechanics and Relativity, the reader is taken on a tour through time and space. Starting from the basic axioms formulated by Newton and Einstein, the theory of motion at both the everyday and the highly relativistic level is developed without the need of prior knowledge. Applications covered in the book span a wide range of physical phenomena, including rocket motion, spinning tennis rackets and high-energy particle collisions.

CC BY-NC-SAUniversity PhysicsPhysics 0 lượt xem
Stellar Atmospheres

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Stellar Atmospheres

Jeremy Tatum · University of Victoria

This textbook presents a physics-based introduction to stellar atmospheres, covering radiation theory, blackbody radiation, and radiative transfer. It explains how absorption, scattering, and atomic processes shape stellar spectra, linking quantum mechanics and statistical physics to line formation, broadening, and limb darkening, and concludes with tools like the curve of growth for interpreting observations.

CC BY-NCAstronomy CosmologyPhysics 0 lượt xem
AO

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Applications of Maxwell’s Equation

John F. Cochran and Bretislav Heinrich · Simon Fraser University

This book was developed for an upper-level physics course. Along with a careful exposition of electricity and magnetism, it devotes a chapter to ferromagnets. According to the course description, the topics covered were “electromagnetics, magnetostatics, waves, transmission lines, waveguides, antennas, and radiating systems.”

CC BYElectricity and MagnetismPhysics 0 lượt xem
Introductory Quantum Mechanics

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Introductory Quantum Mechanics

Richard Fitzpatrick · University of Texas at Austin

This book is intendedas an introductory course on non-relativistic quantum mechanics. Readers need to be reasonably familiar with Newtonian dynamics, elementary classical electromagnetism and special relativity, the physics and mathematics of waves (including the representation of waves via complex functions), basic probability theory, ordinary and partial differential equations, linear algebra, vector algebra, and Fourier series and transforms.

CC BY-NC-SAQuantum MechanicsPhysics 0 lượt xem
Complex Methods for the Sciences

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Complex Methods for the Sciences

Y. D. Chong · Nanyang Technological University

An introductory course in mathematical methods for science and engineering students. Topics covered include complex analysis, contour integration, Fourier analysis, and Green's function methods. Mathematical methods are illustrated with examples drawn from physics, with a focus on oscillations and waves. These notes are also available in the form of Jupyter notebooks on Github (GPLv3).

CC BY-SAMathematical Physics and PedagogyPhysics 0 lượt xem
Applied Geometric Algebra

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Applied Geometric Algebra

László Tisza · Massachusetts Institute of Technology

The mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These course notes attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics.

CC BY-NC-SAMathematical Physics and PedagogyPhysics 0 lượt xem
Physical Optics

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Physical Optics

Jeremy Tatum · University of Victoria

Physical optics, or wave optics, is the branch of optics that studies interference, diffraction, polarization, and other phenomena for which the ray approximation of geometric optics is not valid.

CC BY-NCOpticsPhysics 0 lượt xem
Geometric Optics

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Geometric Optics

Jeremy Tatum · University of Victoria

This “book” is not intended to be a vast, definitive treatment of everything that is known about geometric optics. It covers, rather, the geometric optics of first-year students, whom it will either help or confuse yet further, though I hope the former. The part of geometric optics that often causes the most difficulty, particularly in getting the right answer for homework or examination problems, is the vexing matter of sign conventions in lens and mirror calculations.

CC BY-NCOpticsPhysics 0 lượt xem
Chem 371: P-Chem 2 to Folow Combined Biophysical and P-Chem 1

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Chem 371: P-Chem 2 to Folow Combined Biophysical and P-Chem 1

Jonathan Gutow · University of Wisconsin - Oshkosh

This compilation is aimed at second semester physical chemistry students who's first semester was a combined biophysical and physical chemistry course. It does expect students have enough math background to use concepts from multivariable calculus and calculus based physics.

CC BY-NC-SAChemistry 0 lượt xem
Astronomy 10: The Solar System (Workbook)

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Astronomy 10: The Solar System (Workbook)

Andrew Totah-McCarty · Chabot College

This is a student-led astronomy workbook that is designed for an introductory, college-level astronomy class that focuses on the solar system and planetary science. Celestial observation concepts are included but stars, galaxies, and cosmology are not. The activities are designed to be completed in groups prior to any formal lecture or introduction of material. Lecture summaries (not included) can review, synthesize, and expand on these ideas.

CC BYPhysics 0 lượt xem
Phil 100: Introduction to Philosophy (Haven)

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Phil 100: Introduction to Philosophy (Haven)

LibreTexts

Students will critically engage with core philosophical issues and questions, found in primary texts, regarding the topics of metaphysics, epistemology and possible other topics such as ethics, political philosophy, philosophy of religion, history of philosophy, philosophy of self and a life well lived. This course provides a survey of the discipline in its methodology and subject matter, allowing students the opportunity to understand themselves, their community and the greater pluralistic worl

CC BY-SAHumanities 0 lượt xem