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The Adventure of Physics - Vol. IV: The Quantum of Change
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This book is written for anybody who is curious about nature and motion. Have you ever asked: Why do people, animals, things, images and space move? The answer leads to many adventures; this volume presents those due to the discovery that there is a smallest change value in nature. This smallest change value, the quantum of action, leads to what is called quantum physics. In the structure of modern physics, quantum physics covers three points; this volume covers the introduction to the point in the lower right: the foundations of quantum theory.

The present introduction to quantum physics arose from a threefold aim I have pur- sued since 1990: to present the basics of motion in a way that is simple, up to date and captivating.

In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate.

In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature.

In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on general physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one surprise or provocation for the reader to think about. Numerous interesting challenges are proposed.

The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.’ Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them. Enjoy it!

Subject:
Physical Science
Physics
Material Type:
Textbook
Provider:
Motion Mountain
Author:
Christoph Schiller
Date Added:
10/26/2023
The Adventure of Physics - Vol. VI: The Strand Model - A Speculation on Unification
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This book is written for anybody who is intensely curious about nature and motion. Have you ever asked: Why do people, animals, things, images and empty space move? The answer leads to many adventures, and this book presents one of the best of them: the search for a precise, unified and final description of all motion.

The wish to describe all motion is a large endeavour. Fortunately, this large endeavour can be structured in the simple diagram shown in Figure 1. The final and unified description of motion, the topic of this book, corresponds to the highest point in the diagram. Searching for this final and unified description is an old quest. In the following, I briefly summarize its history and then present an intriguing, though speculative solution to the riddle.

The search for the final, unified description of motion is a story of many surprises. For example, twentieth-century research has shown that there is a smallest distance in nature. Research has also shown that matter cannot be distinguished from empty space at those small distances. A last surprise dates from this century: particles and space are best described as made of strands, instead of little spheres or points. The present text explains how to reach these unexpected conclusions. In particular, quantum field theory, the standard model of particle physics, general relativity and cosmology are shown to follow from strands. The three gauge interactions, the three particle generations and the three dimensions of space turn out to be due to strands. In fact, all the open questions of twentieth-century physics about the foundations of motion, all the millennium issues, can be solved with the help of strands.

The strand model, as presented in this text, is an unexpected result from a threefold aim that I have pursued since 1990, in the five previous volumes of this series: to present the basics of motion in a way that is up to date, captivating and simple. In retrospect, the aim for maximum simplicity has been central in deducing this speculation. While the previous volumes introduced, in an entertaining way, the established parts of physics, this volume presents, in the same entertaining and playful way, a speculation about unification. Nothing in this volume is established knowledge – yet. The text is the original presentation of the topic.

The search for a final theory is one of the great adventures of life: it leads to the limits of thought. The search overthrows our thinking habits about nature. A change in thinking habits can produce fear, often hidden by anger. But by overcoming our fears we gain strength and serenity. Changing thinking habits thus requires courage, but it also produces intense and beautiful emotions. Enjoy them!

Subject:
Physical Science
Physics
Material Type:
Textbook
Provider:
Motion Mountain
Author:
Christoph Schiller
Date Added:
10/26/2023
The Adventure of Physics - Vol. V: Motion Inside Matter - Pleasure, Technology, and Stars
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This book is written for anybody who is curious about nature and motion. Curiosity about how bodies, images and empty space move leads to many adventures. This volume presents the best adventures about the motion inside people, inside animals, and inside any other type of matter – from the largest stars to the smallest nuclei.

Motion inside bodies – dead or alive – is described by quantum theory. Quantum theory describes all motion with the quantum of action h, the smallest change observed in nature. Building on this basic idea, the text first shows how to describe life, death and pleasure. Then, the text explains the observations of chemistry, materials science, astrophysics and particle physics. In the structure of physics, these topics correspond to the three ‘quantum’ points in Figure 1. The story of motion inside living and non-living matter, from the coldest gases to the hottest stars, is told here in a way that is simple, up to date and captivating.

In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate.

In order to be up to date, the text is enriched by the many gems – both theoretical and empirical – that are scattered throughout the scientific literature.

In order to be captivating, the text tries to startle the reader as much as possible. Read- ing a book on physics should be like going to a magic show. We watch, we are astonished, we do not believe our eyes, we think, and finally we understand the trick. When we look at nature, we often have the same experience. Indeed, every page presents at least one sur- prise that makes the reader think. Also numerous interesting challenges are proposed.

The motto of the text, die Menschen stärken, die Sachen klären, a famous statement by Hartmut von Hentig on pedagogy, translates as: ‘To fortify people, to clarify things.’ Clar- ifying things – and adhering only to the truth – requires courage, as changing the habits of thought produces fear, often hidden by anger. But by overcoming our fears we grow in strength. And we experience intense and beautiful emotions. All great adventures in life allow this, and exploring motion is one of them. Enjoy it!

Subject:
Physical Science
Physics
Material Type:
Textbook
Provider:
Motion Mountain
Author:
Christoph Schiller
Date Added:
10/26/2023
The Adventure of Physics - Volume I: Fall, Flow, and Heat
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This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and space move leads to many adventures. This volume presents the best of them in the domain of everyday life.

Table of Contents
1 Why should we care about motion?
2 From motion measurement to continuity
3 How to describe motion - kinematics
4 From objects and images to conservation
5 From the rotation of the Earth to the relativity of motion
6 Motion due to gravitation
7 Classical mechanics and the predictability of motion
8 Measuring change with action
9 Motion and symmetry
10 Simple motions of extended bodies – oscillations and waves
11 Do extended bodies exist? – Limits of continuity
12 Fluids and their motion
13 On heat and motion reversal invariance
14 Self-organization and chaos - the simplicity of complexity
15 From the limitations of physics to the limits of motion

Subject:
Physical Science
Physics
Material Type:
Textbook
Author:
Christoph Schiller
Date Added:
06/23/2020
The Adventure of Physics - Volume III: Light, Charges, and Brains
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This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and space move leads to many adventures. This volume presents the adventures one encounters when exploring everything electric. The story ranges from the weighing of electric current to the use of magnetic fields to heal bone fractures and up to the understanding of the human brain.

In order to be simple, the text focuses on concepts, while keeping mathematics to the necessary minimum. Understanding the concepts of physics is given precedence over using formulae in calculations. The whole text is within the reach of an undergraduate.

Table of Contents
1 Liquid Electricity, Invisible Fields And Maximum Speed
2 The Description Of Electromagnetic Field Evolution
3 What Is Light
4 Images And The Eye – Optics
5 Electromagnetic Effects
6 Summary And Limits Of Classical Electrodynamics
7 The Story Of The Brain
8 Language And Concepts
9 Observations, Lies And Patterns Of Nature
10 Classical Physics In A Nutshell

Subject:
Physical Science
Physics
Material Type:
Textbook
Author:
Christoph Schiller
Date Added:
06/23/2020
The Adventure of Physics - Volume II: Relativity
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This book is written for anybody who is curious about nature and motion. Curiosity about how people, animals, things, images and empty space move leads to many adven- tures. This volume presents the best of them in the domains of relativity and cosmology. In the study of motion – physics – special and general relativity form two important building blocks.

Special relativity is the exploration of the energy speed limit c. General relativity is the exploration of the force limit c4/4G. The text shows that in both domains, all equations follow from these two limit values. This simple, intuitive and unusual way of learning relativity should reward the curiosity of every reader – whether student or professional.

The present volume is the second of a six-volume overview of physics that arose from a threefold aim that I have pursued since 1990: to present motion in a way that is simple, up to date and captivating.

Table of Contents
1 Maximum Speed, Observers At Rest And Motion Of Light
2 Relativistic Mechanics
3 Special Relativity In Four Sentences
4 Simple General Relativity: Gravitation, Maximum Speed And Maximum Force
5 How Maximum Speed Changes Space, Time And Gravity
6 Open Orbits, Bent Light And Wobbling Vacuum
7 From Curvature To Motion
8 Why Can We See The Stars? – Motion In The Universe
9 Black Holes – Falling Forever
10 Does Space Differ From Time?
11 General Relativity In A Nutshell – A Summary For The Layman

Subject:
Physical Science
Physics
Material Type:
Textbook
Author:
Christoph Schiller
Date Added:
06/23/2020
The Adventure of Physics - Volume IV: The Quantum of Change
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This book is written for anybody who is curious about nature and motion. Have you ever asked: Why do people, animals, things, images and space move? The answer leads to many adventures; this volume presents those due to the discovery that there is a smallest change value in nature. This smallest change value, the quantum of action, leads to what is called quantum physics. In the structure of modern physics, quantum physics covers three points; this volume covers the introduction to the point in the lower right: the foundations of quantum theory.

Table of Contents
1 Minimum Action – Quantum Theory For Poets
2 Light – The Strange Consequences Of The Quantum Of Action
3 Motion Of Matter – Beyond Classical Physics
4 The Quantum Description Of Matter And Its Motion
5 Permutation Of Particles – Are Particles Like Gloves?
6 Rotations And Statistics – Visualizing Spin
7 Superpositions And Probabilities – Quantum Theory Without Ideology
8 Colours And Other Interactions Between Light And Matter
9 Quantum Physics In A Nutshell

Subject:
Physical Science
Physics
Material Type:
Textbook
Author:
Christoph Schiller
Date Added:
06/23/2020
The Adventure of Physics - Volume VI: The Strand Model - A Speculation on Unification
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CC BY-NC-ND
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This book is written for anybody who is intensely curious about nature and motion. Have you ever asked: Why do people, animals, things, images and empty space move? The answer leads to many adventures, and this book presents one of the best of them: the search for a precise, unified and final description of all motion.

Table of Contents
1 From Millennium Physics To Unification
2 Physics In Limit Statements
3 General Relativity Versus Quantum Theory
4 Does Matter Differ From Vacuum?
5 What Is The Difference Between The Universe And Nothing?
6 The Shape Of Points – Extension In Nature
7 The Basis Of The Strand Model
8 Quantum Theory Of Matter Deduced From Strands
9 Gauge Interactions Deduced From Strands
10 General Relativity Deduced From Strands
11 The Particle Spectrum Deduced From Strands
12 Particle Properties Deduced From Strands
13 Experimental Predictions Of The Strand Model
14 The Top Of Motion Mountain

Subject:
Physical Science
Physics
Material Type:
Textbook
Author:
Christoph Schiller
Date Added:
06/23/2020
The Adventure of Physics - Volume V: Motion Inside Matter - Pleasure, Technology, and Stars
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This book is written for anybody who is curious about nature and motion. Curiosity about how bodies, images and empty space move leads to many adventures. This volume presents the best adventures about the motion inside people, inside animals, and inside any other type of matter – from the largest stars to the smallest nuclei.

Table of Contents
1 Motion For Enjoying Life
2 Changing The World With Quantum Effects
3 Quantum Electrodynamics – The Origin Of Virtual Reality
4 Quantum Mechanics With Gravitation – First Steps
5 The Structure Of The Nucleus – The Densest Clouds
6 The Sun, The Stars And The Birth Of Matter
7 The Strong Interaction – Inside Nuclei And Nucleons
8 The Weak Nuclear Interaction And The Handedness Of Nature
9 The Standard Model Of Particle Physics – As Seen On Television
10 Dreams Of Unification
11 Bacteria, Flies And Knots
12 Quantum Physics In A Nutshell – Again

Subject:
Physical Science
Physics
Material Type:
Textbook
Author:
Christoph Schiller
Date Added:
06/23/2020
Aerodynamics and Aircraft Performance - 3rd edition
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Aerodynamics and Aircraft Performance, 3rd edition is a college undergraduate-level introduction to aircraft aerodynamics and performance. This text is designed for a course in Aircraft Performance that is taught before the students have had any course in fluid mechanics, fluid dynamics, or aerodynamics. The text is meant to provide the essential information from these types of courses that is needed for teaching basic subsonic aircraft performance, and it is assumed that the students will learn the full story of aerodynamics in other, later courses. The text assumes that the students will have had a university level Physics sequence in which they will have been introduced to the most fundamental concepts of statics, dynamics, fluid mechanics, and basic conservation laws that are needed to understand the coverage that follows. It is also assumed that students will have completed first year university level calculus sequence plus a course in multi-variable calculus. Separate courses in engineering statics and dynamics are helpful but not necessary. Any student who takes a course using this text after completing courses in aerodynamics or fluid dynamics should find the chapters of this book covering those subjects an interesting review of the material.

The 236-page text was created specifically for use by undergraduate students in Aerospace Engineering and was based on Professor Marchman’s many years of experience teaching related subject matter as well as his numerous wind tunnel research projects related to aircraft aerodynamics and his personal experience as the owner and pilot of a general aviation airplane. It has been used at Virginia Tech and other universities.

Instructors reviewing, adopting, or adapting parts or the whole of the text are requested to register their interest at: https://bit.ly/aerodynamics_interest.

Table of Contents
1. Introduction to Aerodynamics
2. Propulsion
3. Additional Aerodynamics Tools
4. Performance in Straight and Level Flight
5. Altitude Change: Climb and Glide
6. Range and Endurance
7. Accelerated Performance: Takeoff and Landing
8. Accelerated Performance: Turns
9. The Role of Performance in Aircraft Design: Constraint Analysis

Subject:
Applied Science
Engineering
Material Type:
Textbook
Author:
James F. Marchman III
Date Added:
09/21/2021
Aerospace Structures
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Aerospace Structures by Eric Raymond Johnson is a 600+ page text and reference book for junior, senior, and graduate-level aerospace engineering students. The text begins with a discussion of the aerodynamic and inertia loads acting on aircraft in symmetric flight and presents a linear theory for the status and dynamic response of thin-walled straight bars with closed and open cross-sections. Isotropic and fiber-reinforced polymer (FRP) composite materials including temperature effects are modeled with Hooke’s law. Methods of analyses are by differential equations, Castigliano’s theorems, the direct stiffness method, the finite element method, and Lagrange’s equations. There are numerous examples for the response axial bars, beams, coplanar trusses, coplanar frames, and coplanar curved bars. Failure initiation by the von Mises yield criterion, buckling, wing divergence, fracture, and by Puck’s criterion for FRP composites are presented in the examples.

Resources
PDFs (book and chapter-level)
Problem sets: http://hdl.handle.net/10919/104169
LaTeX sourcefiles: Expected spring 2022
Print (Softcover. Does not include appendix): https://www.amazon.com/dp/1949373444.

Professors, if you are reviewing this book for adoption in your course, please let us know here: http://bit.ly/interest-aerospace-structures. Instructors reviewing, adopting, or adapting parts or the whole of the text are especially encouraged to sign up.

Subject:
Applied Science
Engineering
Material Type:
Textbook
Provider:
Virginia Tech
Provider Set:
VTech Works
Author:
Eric R. Johnson
Date Added:
10/26/2023
African American History
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African American History for HIST 244 is a compilation of selected readings from African American History (Lumen), American Yawp, Boundless US History, and US History by Chris Collins for Skyline College ZTC Early Adopter Program.

MODULE 1: African Origins – History and Culture
MODULE 2: The African Slave trade and the Atlantic World
MODULE 3: The Development Indentured Servitude and Racial Slavery in the American Colonies
MODULE 4: African Americans and the American Revolution
MODULE 5: Creating an African-American Culture
MODULE 6: The Abolitionist Movement
MODULE 7: The Westward Expansion of Slavery
MODULE 8: Slavery and the Sectional Crisis
MODULE 9: African Americans and the Civil War
MODULE 10: Reconstruction
MODULE 11: African Americans and Jim Crow
MODULE 12: Great Migration, World War I, Great Depression
MODULE 13: African Americans and World War II
MODULE 14: African Americans and the Civil Rights Movement
MODULE 15: African Americans Post Civil Rights Movement

Subject:
History
U.S. History
Material Type:
Textbook
Author:
Chris Collins
Date Added:
05/13/2020
African American History and Culture
Unrestricted Use
CC BY
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Includes the following modules:

Module 1: African Origins - History and Culture
Module 2: The African Slave trade and the Atlantic World
Module 3: The Development Indentured Servitude and Racial Slavery in the American Colonies
Module 4: African Americans and the American Revolution
Module 5: Creating an African-American Culture
Module 6: The Abolitionist Movement
Module 7: The Westward Expansion of Slavery
Module 8: Slavery and the Sectional Crisis
Module 9: African Americans and the Civil War
Module 10: Reconstruction

E-book version available: https://library.achievingthedream.org/fscjafricanamericanhistory/

Subject:
History
U.S. History
Material Type:
Textbook
Author:
Florida State College At Jacksonville
Date Added:
11/27/2019
Agent-Based Evolutionary Game Dynamics
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CC BY
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This book is a guide to implement simple agent-based evolutionary models using NetLogo.

All the models we implement are agent-based, i.e. individual agents and their interactions are explicitly represented in the models. To formalise agents’ interactions we use the basic framework of Evolutionary Game Theory.

NetLogo is a multi-agent programmable modeling environment used by hundreds of thousands of students, teachers and researchers all around the globe. No coding experience is necessary to fully understand the contents of this book.

Table of Contents
0. Introduction

0.1. Introduction to evolutionary game theory
0.2. Introduction to agent-based modeling
0.3. Introduction to Netlogo
0.4. The fundamentals of NetLogo
1. Our first agent-based evolutionary model

1.0. Our very first model
1.1. Extension to any number of strategies
1.2. Noise and initial conditions
1.3. Interactivity and efficiency
1.4. Analysis of these models
1.5. Answers to exercises
2. Spatial interactions on a grid

2.0. Spatial chaos in the Prisoner's Dilemma

Subject:
Applied Science
Computer Science
Material Type:
Textbook
Author:
Luis R. Izquierdo
Segismundo S. Izquierdo
William H. Sandholm
Date Added:
06/11/2020
Agent-Based Evolutionary Game Dynamics
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CC BY
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This book is a guide to implement simple agent-based evolutionary models using NetLogo.

Subject:
Mathematics
Material Type:
Textbook
Author:
Luis R. Izquierdo
Segismundo S. Izquierdo
William H. Sandholm
Date Added:
10/26/2023
Agribusiness Management 101
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CC BY
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This book has been prepared for students taking Agribusiness Management 101 in The Department of Agricultural Economics, Sociology and Education at The Pennsylvania State University.

Table of Contents:

Lesson 1: Economics as Limits, Alternatives, and Choices
Chapter 1: Introduction
Chapter 1.1 - What Is Economics, and Why Is It Important?
Chapter 1.2 - Confronting Objections to the Economic Approach
Chapter 1.3 - How Individuals Make Choices Based on Their Budget Constraint

Lesson 2: The Market System
Chapter 2: Introduction
Chapter 2.1 - How To Organize Economies: An Overview of Economic Systems
Chapter 2.2 - Introducing the Market System
Chapter 2.3 - The Use of Mathematics in Principles of Economics

Lesson 3: Demand, Supply, and Market Equilibrium Chapter 3
Chapter 3: Introduction
Chapter 3.1 - Demand, Supply, and Equilibrium in Markets for Goods and Services
Chapter 3.2 - Shifts in Demand and Supply for Goods and Services
Chapter 3.3 - Changes in Equilibrium Price and Quantity: The Four-Step Process
Chapter 3.4 - Price Ceilings and Price Floors
Chapter 3.5 - Demand, Supply, and Efficiency

Lesson 4: Market Failures: Public Goods and Externalities
Chapter 4: Introduction
Chapter 4.1 - Why the Private Sector Underinvests in Innovation
Chapter 4.2 - How Governments Can Encourage Innovation
Chapter 4.3 - Public Goods

Lesson 5: Elasticity
Chapter 5: Introduction
Chapter 5.1 - Price Elasticity of Demand and Price Elasticity of Supply
Chapter 5.2 - Polar Cases of Elasticity and Constant Elasticity
Chapter 5.3 - Elasticity and Pricing
Chapter 5.4 - Elasticity in Areas Other Than Price

Lesson 6: Utility Maximization
Chapter 6: Introduction
Chapter 6.1 - Consumption Choices
Chapter 6.2 - How Changes in Income and Prices Affect Consumption Choices
Chapter 6.3 - Indifference Curves
Chapter 6.4 - Behavioral Economics: An Alternative Framework for Consumer Choice

Lesson 7: Production, Costs, and Industry Structure
Chapter 7 : Introduction
Chapter 7.1 - Explicit and Implicit Costs, and Accounting and Economic Profit
Chapter 7.2 - Production in the Short Run
Chapter 7.3 - Costs in the Short Run
Chapter 7.4 - Production in the Long Run
Chapter 7.5 - Costs in the Long Run

Lesson 8 : Pure Competition in the Short Run
Chapter 8 : Introduction
Chapter 8.1 - Perfect Competition and Why It Matters
Chapter 8.2 - How Perfectly Competitive Firms Make Output Decisions

Lesson 9 - Pure Competition in the Long Run
Chapter 9 - Introduction
Chapter 9.1 - Entry and Exit Decisions in the Long Run
Chapter 9.2 - Efficiency in Perfectly Competitive Markets

Lesson 10 - Pure Monopoly
Chapter 10 - Introduction
Chapter 10.1 - How Monopolies Form: Barriers to Entry
Chapter 10.2 - How a Profit-Maximizing Monopoly Chooses Output and Price

Lesson 11: The Demand for Resources
Chapter 11 - Introduction
Chapter 11.1 - Demand for Labor

Lesson 12 - Rent, Interest and Profit
Chapter 12 - Introduction
Chapter 12.1 - Time Value of Money

Lesson 13: Agriculture: Economics and Policy
Chapter 13 - Introduction
Chapter 13.1 - Introduction to the Agriculture Economics

Lesson 14 - International Trade
Chapter 14 - Introduction
Chapter 14.1 - Absolute and Comparative Advantage
Chapter 14.2 - What Happens When a Country Has an Absolute Advantage in All Goods
Chapter 14.3 - Intra-industry Trade between Similar Economies
Chapter 14.4 - The Benefits of Reducing Barriers to International Trade
Chapter 14.5 - Protectionism: An Indirect Subsidy from Consumers to Producers
Chapter 14.6 - International Trade and Its Effects on Jobs, Wages, and Working Conditions
Chapter 14.7 - Arguments in Support of Restricting Imports
Chapter 14.8 - How Governments Enact Trade Policy: Globally, Regionally, and Nationally
Chapter 14.9 - The Tradeoffs of Trade Policy

Subject:
Agriculture
Career and Technical Education
Economics
Social Science
Material Type:
Textbook
Author:
William Rossman
Date Added:
12/11/2020
Airplane Flying Handbook
Unrestricted Use
Public Domain
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The Airplane Flying Handbook provides basic knowledge that is essential for pilots. This handbook introduces basic pilot skills and knowledge that are essential for piloting airplanes. It provides information on transition to other airplanes and the operation of various airplane systems. It is developed by the Flight Standards Service, Airman Testing Standards Branch, in cooperation with various aviation educators and industry. This handbook is developed to assist student pilots learning to fly airplanes. It is also beneficial to pilots who wish to improve their flying proficiency and aeronautical knowledge, those pilots preparing for additional certificates or ratings, and flight instructors engaged in the instruction of both student and certificated pilots. It introduces the future pilot to the realm of flight and provides information and guidance in the performance of procedures and maneuvers required for pilot certification.

Subject:
Applied Science
Material Type:
Textbook
Provider:
Federal Aviation Administration
Date Added:
10/26/2023
Algebra and Trigonometry
Unrestricted Use
CC BY
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Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry 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.

Table of Contents
1 Prerequisites
2 Equations and Inequalities
3 Functions
4 Linear Functions
5 Polynomial and Rational Functions
6 Exponential and Logarithmic Functions
7 The Unit Circle: Sine and Cosine Functions
8 Periodic Functions
9 Trigonometric Identities and Equations
10 Further Applications of Trigonometry
11 Systems of Equations and Inequalities
12 Analytic Geometry
13 Sequences, Probability, and Counting Theory

Access also available here: https://openstax.org/details/books/algebra-and-trigonometry

Subject:
Algebra
Mathematics
Trigonometry
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
David Lippman
Jay Abramson
Jean-Marie Magnier
Melonie Rasmussen
Nicholas Belloit
Rachael Gross
Rick Norwood
Valeree Falduto
Date Added:
01/29/2015
Algebra and Trigonometry 2e
Unrestricted Use
CC BY
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Algebra and Trigonometry provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensures that the book meets the needs of a variety of courses. Algebra and Trigonometry 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.

Subject:
Algebra
Mathematics
Trigonometry
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
David Lippman
Jay Abramson
Jean-Marie Magnier
Melonie Rasmussen
Nicholas Belloit
Rachael Gross
Rick Norwood
Valeree Falduto
Date Added:
01/29/2015
Algorithms
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CC BY-SA
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This book aims to be an accessible introduction into the design and analysis of efficient algorithms. Throughout the book we will introduce only the most basic techniques and describe the rigorous mathematical methods needed to analyze them.

The topics covered include:

The divide and conquer technique.
The use of randomization in algorithms.
The general, but typically inefficient, backtracking technique.
Dynamic programming as an efficient optimization for some backtracking algorithms.
Greedy algorithms as an optimization of other kinds of backtracking algorithms.
Hill-climbing techniques, including network flow.

The goal of the book is to show you how you can methodically apply different techniques to your own algorithms to make them more efficient. While this book mostly highlights general techniques, some well-known algorithms are also looked at in depth. This book is written so it can be read from "cover to cover" in the length of a semester, where sections marked with a * may be skipped.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Wikibooks
Date Added:
04/26/2019