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- Tài liệuA Computational Introduction to Number Theory and Algebra(Cambridge University Press, 2009) Shoup, VictorAll of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well.
- Tài liệuA First Course in Linear Algebra - 10th Edition(Lyryx, 2023) Kuttler, KenThis text, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course in linear algebra for science and engineering students who have an understanding of basic algebra. All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile.
- Tài liệuAdvanced Problems in Mathematics: Preparing for University(Open Book Publishers, 2016) Siklos, StephenThis new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.
- Tài liệuAdvanced Water Mathematics(College of the Canyons, 2019) Alvord, MichaelLearning and Understanding Mathematical Concepts in the Areas of Water Distribution and Water Treatment
- Tài liệuAlgebra and Trigonometry 2e(OpenStax, 2021) Abramson, JayAlgebra and Trigonometry 2e provides a comprehensive exploration of mathematical principles and meets scope and sequence requirements for a typical introductory algebra and trigonometry course. The modular approach and the richness of content ensure that the book addresses the needs of a variety of courses. Algebra and Trigonometry 2e 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.
- Tài liệuAtomic Physics for Everyone: An Introduction to Atomic Physics, Quantum Mechanics, and Precision Spectroscopy with No College-Level Prerequisites(Springer, 2025) Raven, WillThis open access textbook introduces beginning undergraduate students and high school students to the world of quantum mechanics and atomic spectroscopy. Requiring no previous knowledge of physics and no math beyond basic algebra and sines and cosines, this book focuses on concepts to make the excitement of atomic physics more accessible for learners than ever before. It comes replete with learning goals, exercises and solutions, and an optional experimental component, making this text readily adoptable for both the classroom and the undergraduate lab. The book takes the reader on a lively and engaging tour through topics at the forefront of current science, including photons, quantum numbers, atomic energy levels, some different spectroscopy techniques, electronic structure, atomic notation, angular momentum, hyperfine structure, isotope shifts, the strong force, an introduction to the Standard Model of Particle Physics, and more.
- Tài liệuBasic Algebra with Applications - 6th Edition(Ivan G. Zaigralin, 2018) Zaigralin, Ivan G.Basic Algebra with Applications (6th Edition) introduces fundamental algebraic concepts in a clear, step-by-step way, designed especially for students who need practical applications of mathematics in everyday life and technical fields. The book covers essential topics such as operations with real numbers, linear equations and inequalities, graphing, exponents, polynomials, factoring, rational expressions, and quadratic equations. Each chapter connects theory to real-world applications, with examples drawn from business, science, and daily problem-solving. Practice problems, review exercises, and applied projects help reinforce learning and build confidence. The approach is straightforward, emphasizing problem-solving skills and preparing learners for higher-level mathematics or vocational applications.
- Tài liệuBody Physics: Motion to Metabolism(Open Oregon Educational Resources, 2018) Davis, LawrenceBody Physics sticks to the basic functioning of the human body, from motion to metabolism, as a common theme through which fundamental physics topics are introduced. Related practice, reinforcement and Lab activities are included. See the front matter for more details.
- Tài liệuChemical Biology & Biochemistry Laboratory Using Genetic Code Expansion Manual(Oregon State University, 2019) Mehl, Ryan; Zee, Kari van; Kean, KelseyChemical Biology & Biochemistry Laboratory Using Genetic Code Expansion Manual
- Tài liệuChemistry of Cooking(2019) Rodriguez-Velazquez, SorangelPeople around the world are fascinated about the preparation of food for eating. There are countless cooking books, TV shows, celebrity chefs and kitchen gadgets that make cooking an enjoyable activity for everyone. The chemistry of cooking course seeks to understand the science behind our most popular meals by studying the behavior of atoms and molecules present in food. This book is intended to give students a basic understanding of the chemistry involved in cooking such as caramelization, Maillard reaction, acid-base reactions, catalysis, and fermentation. Students will be able to use chemistry language to describe the process of cooking, apply chemistry knowledge to solve questions related to food, and ultimately create their own recipes.
- Tài liệuChemistry Techniques and Explorations: An Introductory Chemistry Laboratory Manual(2023) Albert, DanielChemistry Techniques and Explorations (2023) by Dr. Daniel R. Albert is an eTextbook laboratory manual for first semester introductory chemistry courses. The manual includes two different types of experiments (Technique and Exploration) designed to engage students in chemistry laboratory practices. Technique laboratories are designed for students to learn and practice chemistry laboratory skills that are utilized in a wide variety of disciplines. Exploration laboratories provide freedom and time for students to use previously acquired skills toward answering a new application focused question. Exploration laboratories help build the scientific thinking skills necessary to approach novel problems. The goal of this lab manual is to build both fundamental techniques and problem-solving skills that aid students in becoming practicing scientists.
- Tài liệuCollege Algebra - 2e(OpenStax, 2021) Abramson, JayCollege Algebra 2e provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book addresses the needs of a variety of courses. College Algebra 2e 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.
- Tài liệuCollege Physics - 2e(OpenStax, 2022) Urone, Paul Peter; Hinrichs, Roger; Dirks, KimCollege Physics 2e introduces topics conceptually and progresses through clear explanations in the context of career-oriented, practical applications, and meets the scope and sequence of an algebra-based physics course. The narrative of physics and scientific discovery has been even further expanded to focus on including more diverse contributors to the field. Building on the success of the first edition the authors have increased focus on interdisciplinary connections, including enhancements to biological and medical applications. The problem solving approach has been revised to further unify conceptual, analytical, and calculation skills within the learning process, the authors have integrated a wide array of strategies and supports throughout the text for students.
- Tài liệuContemporary Mathematics(OpenStax, 2023) Kirk, DonnaContemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.
- Tài liệuDiscrete Math with SageMath: Learn math with open-source software(2025) Ahmed, Zunaid; Colman, Hellen; Lubliner, SamuelOur book is intended to provide concise and complete instructions on how to use Sage to solve problems in Discrete Math. It is appropriate for a first or second year undergraduate course for math and computer science majors. Our goal is to streamline the learning process with SageMath. This approach helps students focus more on mathematics and reduces the friction of learning how to code. Our resources are designed for all math students, regardless of programming experience. The novelty of our project is that the textbook is authored by students under faculty supervision. With Open Pedagogy as a guiding praxis, we present this student-created textbook as a more effective alternative in promoting student learning and engagement. Students present the contents in new and inventive ways, from the overall voice of the textbook to the actual examples drawn from their and their peers' lives. The text began as a support textbook for our undergraduate Discrete Math course developed at Wright College, one of the City Colleges of Chicago. Despite the fabulous capabilities of SageMath, students in Discrete Math were often frustrated by the lack of specific documentation geared towards beginning undergrad students in Discrete Math. We developed an OER for our students to use this mathematical software effectively.
- Tài liệuDiscrete Mathematics: An Open Introduction - 3rd Edition(Oscar Levin, 2016) Levin, OscarDiscrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions.
- Tài liệuElectrolysers, Fuel Cells and Batteries: Analytical Modelling(TU Delft Open, 2024) Haverkort, WillemElectrochemical 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.
- Tài liệuEnergy and Human Ambitions on a Finite Planet(eScholarship, 2021) Murphy, Thomas W.Where is humanity going? How realistic is a future of fusion and space colonies? What constraints are imposed by physics, by resource availability, and by human psychology? Are default expectations grounded in reality? This textbook, written for a general-education audience, aims to address these questions without either the hype or the indifference typical of many books. The message throughout is that humanity faces a broad sweep of foundational problems as we inevitably transition away from fossil fuels and confront planetary limits in a host of unprecedented ways—a shift whose scale and probable rapidity offers little historical guidance. Salvaging a decent future requires keen awareness, quantitative assessment, deliberate preventive action, and—above all—recognition that prevailing assumptions about human identity and destiny have been cruelly misshapen by the profoundly unsustainable trajectory of the last 150 years. The goal is to shake off unfounded and unexamined expectations, while elucidating the relevant physics and encouraging greater facility in quantitative reasoning. After addressing limits to growth, population dynamics, uncooperative space environments, and the current fossil underpinnings of modern civilization, various sources of alternative energy are considered in detail— assessing how they stack up against each other, and which show the greatest potential. Following this is an exploration of systemic human impediments to effective and timely responses, capped by guidelines for individual adaptations resulting in reduced energy and material demands on the planet’s groaning capacity. Appendices provide refreshers on math and chemistry, as well as supplementary material of potential interest relating to cosmology, electric transportation, and an evolutionary perspective on humanity’s place in nature.
- Tài liệuExploring Physical Phenomena(Oregon State University, 2019) Zee, Emily van; Gire, ElizabethThis 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.
- Tài liệuFundamentals of Math, Physics, and Statistics for Future Transportation Professionals(Mavs Open Press, 2024) Pande, Anurag; Ratto, Peyton; Farid, AhmedThis textbook and OER material cover tools and basic knowledge required to master the prerequisite essentials of physics, mathematics, and statistics applied in transportation engineering. To our knowledge, no such textbook currently exists to build the KSTs (Knowledge, Skills, Tools) for college freshmen’ remedial courses required by most transportation engineering graduate programs that admit non-engineers (e.g., PHYS 141, MATH 142, STAT 321 at California Polytechnic State University, San Luis Obispo). The textbook modules are intended for students with undergraduate degrees in planning and other less technical fields who are interested in pursuing transportation careers where background engineering knowledge is required. This textbook is a product of the grant OERTransport: Enabling Transportation Planning Professional Advancement awarded to the University of Texas-Arlington (UTA) in consortium with California Polytechnic State University (Cal Poly) and the University of South Florida (USF). It was developed under an Open Textbooks Pilot grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education. However, its contents do not necessarily represent the policy of the Department of Education, and no endorsement by the Federal Government should be assumed
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