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All Things Flow: Fluid Mechanics for the Natural Sciences
William Smyth · Oregon State University · 2019
This book began as lecture notes for an Oregon State University course in fluid mechanics, designed for beginning graduate students in physical oceanography. Because of its fundamental nature, this course is often taken by students outside physical oceanography, e.g., atmospheric science, civil engineering, physics and mathematics. In later courses, the student will discover esoteric fluid phenomena such as internal waves that propagate through the sky, water phase changes that govern clouds, and planetary rotation effects that control large-scale winds and ocean currents. In contrast, this course concerns phenomena that we have all been familiar with since childhood: flows you see in sinks and bathtubs, in rivers, and at the beach. In this context, we develop the mathematical techniques and scientific reasoning skills needed for higher-level courses and professional research.
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Relativity Lite: A Pictorial Translation of Einstein’s Theories of Motion and Gravity
Jack Straton · Portland State University Library · 2020
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.
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Variational Principles in Classical Mechanics
Douglas Cline · University of Rochester River Campus Libraries · 2018
Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th – 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering. This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics. This second edition adds discussion of the use of variational principles applied to the following topics: Systems subject to initial boundary conditions The hierarchy of the related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries Non-conservative systems. Variable-mass systems. The General Theory of Relativity. The first edition of this book can be downloaded at the publisher link.
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Light and Matter
Benjamin Crowell · Benjamin Crowell · 2010
This is an introductory text intended for a one-year introductory course of the type typically taken by biology majors, or for AP Physics B. Algebra and trig are used, and there are optional calculus-based sections.
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Radiobiology Textbook
Sarah Baatout · Springer · 2023
This open access textbook focuses on the various aspects of radiobiology. The goal of radiobiological research is to better understand the effects of radiation exposure at the cellular and molecular levels in order to determine the impact on health. This book offers a unique perspective, by covering not only radiation biology but also radiation physics, radiation oncology, radiotherapy, radiochemistry, radiopharmacy, nuclear medicine, space radiation biology & physics, environmental and human radiation protection, nuclear emergency planning, molecular biology and bioinformatics, as well as the ethical, legal and social considerations related to radiobiology. This range of disciplines contributes to making radiobiology a broad and rather complex topic. This textbook is intended to provide a solid foundation to those interested in the basics and practice of radiobiological science. It is a learning resource, meeting the needs of students, scientists and medical staff with an interest in this rapidly evolving discipline, as well as a teaching tool, with accompanying teaching material to help educators.
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Numerical Methods in Scientific Computing
Jos van Kan; Guus Segal; Fred Vermolen · TU Delft Open · 2023
This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process and this must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand. That means, that most of the time the physics also have to be taken into account especially for validation of the numerical solution obtained. This book aims especially at engineers and scientists who have ’real world’ problems. It will concern itself less with pesky mathematical detail. For the interested reader though, we have included sections on mathematical theory to provide the necessary mathematical background. Since this treatment had to be on the superficial side we have provided further reference to the literature where necessary.
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Calculus for the Life Sciences: A Modeling Approach
James Cornette; Ralph Ackerman · A.T. Still University · 2013
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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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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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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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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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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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.