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Calculus for the Life Sciences: A Modeling Approach
James Cornette; Ralph Ackerman · A.T. Still University · 2011
Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course. In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There are two chapters on non-linear difference equations and on systems of two difference equations and two chapters on differential equations and on systems of differential equation.

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Introduction to Philosophy
Sondra Peron · ROTEL · 2025
This Introduction to Philosophy: An Anthology is a collection of essential readings from a wide variety of contemporary writers and philosophers designed to help students unfamiliar with philosophy understand that they know more than they think. This OER asks students to think about how they think and how they know what they know. Students will start by challenging assumptions and flexing those critical thinking skills we all have—not just in an abstract way but in a practical, everyday way. Students will explore the branches of philosophy, including metaphysics, epistemology, ethics, and aesthetics.

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Understanding Music: Past and Present
Alan Clark; Thomas Heflin; Jeffery Kluball; Elizabeth Kramer · University of North Georgia Press · 2015
Understanding Music: Past and Present is an open Music Appreciation textbook co-authored by music faculty across Georgia. The text covers the fundamentals of music and the physics of sound, an exploration of music from the Middle Ages to the present day, and a final chapter on popular music in the United States.

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Electrolysers, Fuel Cells and Batteries: Analytical Modelling
Willem Haverkort · TU Delft Open · 2024
Electrochemical engineering deals with electrochemical devices like electrolysers, fuel cells, and batteries. While several excellent books exist in this long-standing and still growing field, their focus is usually on chemistry or phenomenology. In this textbook, we focus on mathematical modelling of the physical phenomena involved. Instead of resorting to numerical modelling, the aim is to derive simplified analytical models that maximise understanding. Porous electrodes, ion mass transport, and multiphase flow are central themes in this book. Examples include modelling the water saturation in a fuel cell diffusion layer, the gas fraction and current distribution in an alkaline water electrolyser, the potential distribution in a binary electrolyte inside porous battery electrode, and the concentration distribution in the flow channel of a redox flow battery. This makes for a diverse, challenging, and stimulating journey, for both students and researchers.

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Aviation Maintenance Technician Handbook – General (FAA-H-8083-30B)
U.S. Department of Transportation Federal Aviation Administration · Federal Aviation Administration · 2023
The Aviation Maintenance Technician Handbook–General (FAA-H-8083-30B) was developed as one of a series of three handbooks for persons preparing for mechanic certification with airframe or powerplant ratings, or both. It is intended that this handbook will provide basic information on principles, fundamentals, and technical procedures in the subject matter areas common to both the airframe and powerplant ratings. Emphasis in this volume is on theory and methods of application. The handbook is designed to aid students enrolled in a formal course of instruction preparing for FAA certification as a maintenance technician as well as for current technicians who wish to improve their knowledge. This volume contains information on mathematics, aircraft drawings, weight and balance, aircraft materials, processes and tools, physics, electricity, inspection, ground operations, and FAA regulations governing the certification and work of maintenance technicians. New to this volume is a section addressing how successful aviation maintenance technicians incorporate knowledge and awareness of ethics, professionalism and human factors in the field

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Introduction to Systems Biology: Workbook for Flipped-Classroom Teaching
Thomas Sauter; Marco Albrecht · Open Book Publishers · 2023
This book is an introduction to the language of systems biology, which is spoken among many disciplines, from biology to engineering. Authors Thomas Sauter and Marco Albrecht draw on a multidisciplinary background and evidence-based learning to facilitate the understanding of biochemical networks, metabolic modeling and system dynamics. Their pedagogic approach briefly highlights core ideas of concepts in a broader interdisciplinary framework to guide a more effective deep dive thereafter. The learning journey starts with the purity of mathematical concepts, reveals its power to connect biological entities in structure and time, and finally introduces physics concepts to tightly align abstraction with reality. This workbook is all about self-paced learning, supports the flipped-classroom concept, and kick-starts with scientific evidence on studying. Each chapter comes with links to external YouTube videos, learning checklists, and Integrated real-world examples to gain confidence in thinking across scientific perspectives. The result is an integrated approach that opens a line of communication between theory and application, enabling readers to actively learn as they read. This overview of capturing and analyzing the behavior of biological systems will interest adherers of systems biology and network analysis, as well as related fields such as bioinformatics, biology, cybernetics, and data science.

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Aerodynamics and Aircraft Performance
James Marchman III · Virginia Tech Libraries · 2004
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.

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Stability of Ships and Other Bodies
Genick Bar-Meir · Potto Project · 2021
This book, Stability of Ships and Other Bodies, describes the fundamentals when and why floating bodies are stable. In addition, it describes steps that transforms un–stable bodies to stable. This book is designed to replace all the other books and inseminate that recent developed technology and advances. The material in standard books is so entrenched, old, and outdated material that one can be only amazed. For example, concept like potential stability is not discussed or even mentioned in any of all the books that this author review. This book written from physical point of view rather then construction point of view like all the books review by this author on stability. It is hoped that the book could be used as a reference book for people who have at least some basics knowledge of science areas such as algebra, basic physics, etc. Even without deep understating the graphs in this book can be used to find necessarily quantities needed to understand if to fix your vessel.

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Electromagnetics
Steven Ellingson · Virginia Tech Publishing · 2020
Electromagnetics, volume 2 by Steven W. Ellingson is a 216-page peer-reviewed open textbook designed especially for electrical engineering students in the third year of a bachelor of science degree program. It is intended as the primary textbook for the second semester of a two-semester undergraduate engineering electromagnetics sequence. The book addresses magnetic force and the Biot-Savart law; general and lossy media; parallel plate and rectangular waveguides; parallel wire, microstrip, and coaxial transmission lines; AC current flow and skin depth; reflection and transmission at planar boundaries; fields in parallel plate, parallel wire, and microstrip transmission lines; optical fiber; and radiation and antennas. To express your interest in this book or series, please visit http://bit.ly/vtpublishing-updates Additional resources Problem sets and the corresponding solution manuals; Slides of figures used in and created for the book; LaTeX sourcefiles; Errata for Volume 2; Collaborator portal for the Electromagnetics series; Faculty listserv for the Electromagnetics series. An accessible version will be available in January 2020. The Open Electromagnetics Project Led by Steven W. Ellingson at Virginia Tech, the goal of the Open Electromagnetics Project is to create no-cost openly-licensed content for courses in engineering electromagnetics. The project is motivated by two things: lowering learning material costs for students and giving faculty the freedom to adopt, modify, and improve their educational resources. Books in this Series Electromagnetics, Volume 1 https://doi.org/10.21061/electromagnetics-vol-1 Electromagnetics, Volume 2 https://doi.org/10.21061/electromagnetics-vol-2

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Introduction to Aerospace Structures and Materials
René Alderliesten · TU Delft Open · 2018
This book provides an introduction to the discipline of aerospace structures and materials. It is the first book to date that includes all relevant aspects of this discipline within a single monologue. These aspects range from materials, manufacturing and processing techniques, to structures, design principles and structural performance, including aspects like durability and safety. With the purpose of introducing students into the basics of the entire discipline, the book presents the subjects broadly and loosely connected, adopting either a formal description or an informal walk around type of presentation. A key lessons conveyed within this book is the interplay between the exact science and engineering topics, like solid material physics and structural analysis, and the soft topics that are not easily captured by equations and formulas. Safety, manufacturability, availability and costing are some of these topics that are presented in this book to explain decisions and design solutions within this discipline.

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Direct Energy
Andrea Mitofsky · Andrea M. Mitofsky · 2018
Direct Energy Conversion discusses both the physics behind energy conversion processes and a wide variety of energy conversion devices. A direct energy conversion process converts one form of energy to another through a single process. The first half of this book surveys multiple devices that convert to or from electricity including piezoelectric devices, antennas, solar cells, light emitting diodes, lasers, thermoelectric devices, and batteries. In these chapters, physical effects are discussed, terminology used by engineers in the discipline is introduced, and insights into material selection is studied. The second part of this book puts concepts of energy conversion in a more abstract framework. These chapters introduce the idea of calculus of variations and illuminate relationships between energy conversion processes.

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Electromagnetics
Steven Ellingson · Virginia Tech Libraries · 2018
Electromagnetics Volume 1 by Steven W. Ellingson is a 238-page, peer-reviewed open educational resource intended for electrical engineering students in the third year of a bachelor of science degree program. It is intended as a primary textbook for a one-semester first course in undergraduate engineering electromagnetics. The book employs the “transmission lines first” approach in which transmission lines are introduced using a lumped-element equivalent circuit model for a differential length of transmission line, leading to one-dimensional wage equations for voltage and current. Additional ResourcesProblem sets and the corresponding solution manual are also available.

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Introduction to Probability
Charles Grinstead; J. Laurie Snell · American Mathematical Society · 2006
Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continuedto influence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a wellestablished branch of mathematics that finds applications in every area of scholarlyactivity from music to physics, and in daily experience from weather prediction topredicting the risks of new medical treatments. This text is designed for an introductory probability course taken by sophomores,juniors, and seniors in mathematics, the physical and social sciences, engineering,and computer science. It presents a thorough treatment of probability ideas andtechniques necessary for a form understanding of the subject. The text can be usedin a variety of course lengths, levels, and areas of emphasis. For use in a standard one-term course, in which both discrete and continuousprobability is covered, students should have taken as a prerequisite two terms ofcalculus, including an introduction to multiple integrals. In order to cover Chapter 11, which contains material on Markov chains, some knowledge of matrix theoryis necessary. The text can also be used in a discrete probability course. The material has beenorganized in such a way that the discrete and continuous probability discussions arepresented in a separate, but parallel, manner. This organization dispels an overlyrigorous or formal view of probability and o?ers some strong pedagogical valuein that the discrete discussions can sometimes serve to motivate the more abstractcontinuous probability discussions. For use in a discrete probability course, studentsshould have taken one term of calculus as a prerequisite. Very little computing background is assumed or necessary in order to obtain fullbenefits from the use of the comp

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Exploring Physical Phenomena
Emily van Zee; Elizabeth Gire · Oregon State University · 2019
This course is intended for prospective and practicing elementary and middle school teachers. By exploring physical phenomena in class, you will learn science in ways in which you are expected to teach science in schools or in informal settings such as afterschool programs, youth group meetings, and museum workshops. This course also is appropriate for general science students and others interested in exploring some of the physical phenomena underlying global climate change. The theme for the course is: What happens when light from the Sun shines on the Earth? The emphasis is on questioning, predicting, exploring, observing, discussing, reading, and writing about what one thinks and why. This first unit focuses on exploring the nature of light phenomena. Among the unit’s many goals are two primary ones: to learn about light phenomena and to learn about ways to foster science learning for yourself and others such as your family, friends, and students.

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Elementary Earth and Space Science Methods
Ted Neal · University of Iowa · 2019
We created this book to help you as both a college student and a future teacher. Dr. Ted Neal asked us to help him create this resource from the perspective of students who have taken Science Methods II–what would we want in a textbook for this course? With this in mind, we have gathered and created resources to help you better understand science and feel confident in your abilities as a future teacher. This book is divided into five parts which align with the Science Methods II course: Physics Space Science Earth Science Climate Science Course Materials and Pedagogy Within each part, the material is broken down into smaller chapters. Here you will find written explanations, video links, glossary terms, key takeaways, and practice quizzes to help you understand the material. This book is designed to be a flexible resource; use it as much or as little as you need throughout the course.

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Think Complexity: Exploring Complexity Science with Python
Allen Downey · Green Tea Press · 2018
Complexity science uses computation to explore the physical and social sciences. In Think Complexity, you'll use graphs, cellular automata, and agent-based models to study topics in physics, biology, and economics. Whether you're an intermediate-level Python programmer or a student of computational modeling, you'll delve into examples of complex systems through a series of worked examples, exercises, case studies, and easy-to-understand explanations. In this updated second edition, you will: Work with NumPy arrays and SciPy methods, including basic signal processing and Fast Fourier Transform Study abstract models of complex physical systems, including power laws, fractals and pink noise, and Turing machines Get Jupyter notebooks filled with starter code and solutions to help you re-implement and extend original experiments in complexity; and models of computation like Turmites, Turing machines, and cellular automata Explore the philosophy of science, including the nature of scientific laws, theory choice, and realism and instrumentalism Ideal as a text for a course on computational modeling in Python, Think Complexity also helps self-learners gain valuable experience with topics and ideas they might not encounter otherwise.

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Fysische Transportverschijnselen - Denken in Balansen
Harrie Akker; Robert Mudde · TU Delft Open · 2026
De transport- en overdrachtsprocessen van warmte, massa en impuls worden naar hun analogie behandeld. De processen worden beschreven met behulp van macro- en microbalansen die in veel gevallen leiden tot differentiaalvergelijkingen. Ook veel aspecten van stromingsleer komen op deze manier aan de orde en zo bereidt het boek ook voor op moderne Computational Fluid Dynamics technieken. Het doel van het boek is ook studenten te trainen in het oplossen van problemen waarbij transportverschijnselen centraal staan. Daartoe bevat het boek bijna 100 uitgewerkte vraagstukken.

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Fizyka dla szkół wyższych
William Moebs; Samuel Ling; Jeff Sanny · OpenStax · 2017
Fizyka dla szkół wyższych. Tom 3 dopasowana jest pod względem zakresu i układu treści do typowych kursów wprowadzających z fizyki ogólnej opartych na analizie matematycznej. Podręcznik kładzie nacisk na powiązania między teorią a praktycznymi zastosowaniami, wyjaśniając zagadnienia fizyczne w ciekawy i zrozumiały sposób, lecz z zachowaniem niezbędnego rygoru matematycznego. Liczne, dobrze dobrane przykłady pokazują, jak podejść do zadania, jak wykorzystać wzory i wreszcie jak sprawdzić i uogólnić wynik.

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Fizyka dla szkół wyższych
William Moebs; Samuel Ling; Jeff Sanny · OpenStax · 2017
Fizyka dla szkół wyższych. Tom 1 dopasowana jest pod względem zakresu i układu treści do typowych kursów wprowadzających z fizyki ogólnej opartych na analizie matematycznej. Podręcznik kładzie nacisk na powiązania między teorią a praktycznymi zastosowaniami, wyjaśniając zagadnienia fizyczne w ciekawy i zrozumiały sposób, lecz z zachowaniem niezbędnego rygoru matematycznego. Liczne, dobrze dobrane przykłady pokazują, jak podejść do zadania, jak wykorzystać wzory i wreszcie jak sprawdzić i uogólnić wynik.

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Υπολογιστική Φυσική: Ένα βιβλίο του Κωνσταντίνου Αναγνωστόπουλου
Κωνσταντίνος Αναγνωστόπουλος · National Technical University of Athens · 2016
Το βιβλίο αυτό είναι μια εισαγωγή στις υπολογιστικές μεθόδους που χρησιμοποιούνται στη φυσική και άλλα επιστημονικά πεδία. Απευθύνεται σε κοινό που έχει ήδη εκτεθεί σε μαθήματα γενικής φυσικής που διδάσκονται στα δύο πρώτα έτη πανεπιστημιακών τμημάτων θετικών επιστημών και επιστημών του μηχανικού. Δεν υποθέτει κανένα υπόβαθρο αριθμητικής ανάλυσης, προγραμματισμού ή χρήσης υπολογιστή και παρουσιάζει ό,τι είναι απαραίτητο για την επίλυση των προβλημάτων που παρουσιάζονται στο βιβλίο. Μπορεί να χρησιμοποιηθεί ως κύριο σύγγραμμα σε εισαγωγικά μαθήματα υπολογιστικής φυσικής και επιστημονικού προγραμματισμού. Το βιβλίο ξεκινάει με πολύ απλά προβλήματα πάνω στην κίνηση σωματιδίου και ολοκληρώνεται με μία εις βάθος συζήτηση προχωρημένων μεθόδων προσομοίωσης Μόντε Κάρλο στη στατιστική φυσική. Το επίπεδο διδασκαλίας είναι διαβαθμισμένο ως προς τη δυσκολία του, παρουσιάζοντας προβλήματα όπως η εξίσωση διάχυσης, δυναμικά συστήματα, ηλεκτροστατική στο επίπεδο, κβαντομηχανική και οι τυχαίες διαδρομές. Όλο το υλικό που παρουσιάζεται στο βιβλίο μπορεί να διαδαχθεί άνετα σε δύο εξάμηνα. Με κατάλληλη επιλογή θεμάτων, μπορεί να χρησιμοποιηθεί και σε ένα πλήρες μάθημα ενός εξαμήνου. Το βιβλίο αποσκοπεί να δώσει στους φοιτητές το υπόβαθρο και την εμπειρία που απαιτείται ώστε να προχωρήσουν σε προγράμματα υπολογισμών υψηλής απόδοσης. Δίνει έμφαση στον εμπειρικό προγραμματισμό αριθμητικών προγραμμάτων, αλλά και στην παραγωγή, ανάλυση και φυσική ερμηνεία των δεδομένων. Επίσης γίνεται προσπάθεια να διατηρηθεί το ενδιαφέρον του αναγνώστη μέσα από την παρουσίαση της αριθμητικής επίλυσης γνωστών και ενδιαφέροντων προβλημάτων φυσικής, οπως χαοτικών συστημάτων, κβαντομηχανικής, ειδικής θεωρίας της σχετικότητας και της φυσικής των μεταβάσεων φάσης. Το βιβλίο και το συνοδευτικό λογισμικό δίνονται ελεύθερα, αδειοδοτούμενα υπό Creative Commons License/GNU public License.