Natural Sciences

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https://oerrepository.ntt.edu.vn/handle/298300331/719

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A Computational Introduction to Number Theory and Algebra
(Cambridge University Press, 2009) Shoup, Victor
All 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.
A First Course in Linear Algebra - 10th Edition
(Lyryx, 2023) Kuttler, Ken
This 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.
Advanced Problems in Mathematics: Preparing for University
(Open Book Publishers, 2016) Siklos, Stephen
This 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.
Advanced Water Mathematics
(College of the Canyons, 2019) Alvord, Michael
Learning and Understanding Mathematical Concepts in the Areas of Water Distribution and Water Treatment
Advancements in Applied Mathematics and Computational Physics
(MDPI, 2025) Randjelovic, Branislav; Vlahovic, Branislav
Mathematics and physics are basic natural sciences. They are the root of almost all processes in nature and technology. There are a large number of situations where these two sciences can offer the best models and most appropriate explanations for natural processes or technological problems. This Special Issue Reprint presents various methods and new solutions to explain the nature of matter, biophysical systems, and systems in technical sciences in the frame of overall reality, using the latest achievements in applied mathematics and computational physics. The focus is on new results and solutions in contemporary applied mathematics, algebra, mathematical logic, graph theory, fractals, chaos theory, numerical mathematics, mathematical physics, as well as the latest results in experimental physics, computational physics, and physical electronics for problems in nature, technology, technics, and electronics. This Special Issue Reprint covers a broad range of topics to provide new insights into the exploration of the world of electronics, physical electronics, nuclear and hyper-nuclear physics, nanotechnology, material science, photonics and photovoltaics, cosmology, genomics, and nature.
Advancements in Natural Language Processing, Semantic Networks, and Sentiment Analysis
(MDPI, 2025) García-Méndez, Silvia; Costa-Montenegro, Enrique; Arriba-Pérez, Francisco De
This Special Issue examines the intersection of NLP, semantic networks, and sentiment analysis, exploring how these technologies can contribute to more intelligent systems. The contributions gathered address, among other topics, the detection of irony and sarcasm, the generation of semantic explanations, the automatic construction of semantic graphs, the expansion of linguistic resources for underrepresented languages, and the use of large language models. Ultimately, this Special Issue aims not only to reflect the state of the art in the areas above but also to stimulate critical reflection on the methodological challenges, ethical implications, and interdisciplinary opportunities that arise at the intersection of computational linguistics and artificial intelligence.
Algebra and Trigonometry 2e
(OpenStax, 2021) Abramson, Jay
Algebra 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.
Animal–Computer Interaction: Advances and Opportunities
(MDPI, 2025) French, Fiona; Martin, Christopher Flynn
We are excited to present this Special Issue, which shares new ideas and developments in the field of Animal–Computer Interaction, including those that advance scientific knowledge about animals, enhance connections between species, improve the stewardship of animals in human care and articulate the design of systems that offer greater autonomy to other species. This collection of articles features research with mammals, birds, fish, reptiles and amphibians, including wild, farmed, zoo-housed and working contexts. The diversity of approaches illustrates how technology can be used as a tool to support humans working with both free-roaming and managed animals, facilitating initiatives in conservation, welfare and enrichment. This demonstrates the potential for interesting and insightful collaborations between animal experts and technologists, working together to create an equitable and sustainable future for all species.
Atomic Physics for Everyone: An Introduction to Atomic Physics, Quantum Mechanics, and Precision Spectroscopy with No College-Level Prerequisites
(Springer, 2025) Raven, Will
This 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.
Basic 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.
Body Physics: Motion to Metabolism
(Open Oregon Educational Resources, 2018) Davis, Lawrence
Body 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.
Chemical Biology & Biochemistry Laboratory Using Genetic Code Expansion Manual
(Oregon State University, 2019) Mehl, Ryan; Zee, Kari van; Kean, Kelsey
Chemical Biology & Biochemistry Laboratory Using Genetic Code Expansion Manual
Chemistry of Cooking
(2019) Rodriguez-Velazquez, Sorangel
People 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.
Chemistry Techniques and Explorations: An Introductory Chemistry Laboratory Manual
(2023) Albert, Daniel
Chemistry 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.
College Algebra - 2e
(OpenStax, 2021) Abramson, Jay
College 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.
College Physics - 2e
(OpenStax, 2022) Urone, Paul Peter; Hinrichs, Roger; Dirks, Kim
College 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.
Contemporary Mathematics
(OpenStax, 2023) Kirk, Donna
Contemporary 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.
Discrete Math with SageMath: Learn math with open-source software
(2025) Ahmed, Zunaid; Colman, Hellen; Lubliner, Samuel
Our 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.
Discrete Mathematics: An Open Introduction - 3rd Edition
(Oscar Levin, 2016) Levin, Oscar
Discrete 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.
Electrolysers, Fuel Cells and Batteries: Analytical Modelling
(TU Delft Open, 2024) Haverkort, Willem
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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