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e-book
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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e-book
This text is intended to support courses that bridge the divide between mathematics typically encountered in U.S. high school curricula and the practical problems that natural resource students might engage with in their disciplinary coursework and professional internships.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Problem solving Applied mathematics Textbooks Numerical analysis
- Resource Type:
- e-book
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e-book
Climate is also where we begin the design process in another tool referenced in the Permaculture design system. This is the Scale of Landscape Permanence, originated by P.A.Yeomans, the founder of Keyline™ Design. Yeomans asserts that the order of design is: Climate Landshape Water Supply Roads/Access Trees Structures Subdivision Fences Soil This book is predominantly about climate, and the macro influences of climate and climate change on design. As we get through the topics of climate analogues and climate change forecasting, we will end up moving down this list to see the climate’s influence on specific design choices.
- Subjects:
- Environmental Sciences
- Keywords:
- Permaculture Agricultural ecology Textbooks
- Resource Type:
- e-book
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e-book
Open Resources for Community College Algebra (ORCCA) is an open-source, openly-licensed textbook package (eBook, print, and online homework) for basic and intermediate algebra. At Portland Community College, Part 1 is used in MTH 60, Part 2 is used in MTH 65, and Part 3 is used in MTH 95.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Algebra Textbooks
- Resource Type:
- e-book
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e-book
In Mechanics and Relativity, the reader is taken on a tour through time and space. Starting from the basic axioms formulated by Newton and Einstein, the theory of motion at both the everyday and the highly relativistic level is developed without the need of prior knowledge. The relevant mathematics is provided in an appendix. The text contains various worked examples and a large number of original problems to help the reader develop an intuition for the physics. Applications covered in the book span a wide range of physical phenomena, including rocket motion, spinning tennis rackets and high-energy particle collisions.
- Subjects:
- Physics
- Keywords:
- Relativity (Physics) Textbooks Mechanics
- Resource Type:
- e-book
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e-book
After being traditionally published for many years, this formidable text by W. Keith Nicholson is now being released as an open educational resource and part of Lyryx with Open Texts! Supporting today's students and instructors requires much more than a textbook, which is why Dr. Nicholson opted to work with Lyryx Learning. Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work. The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners whereas Chapters 5–9 contain a second semester course. The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A).
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Algebras Linear
- Resource Type:
- e-book
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e-book
Learning Statistics with R covers the contents of an introductory statistics class, as typically taught to undergraduate psychology students, focusing on the use of the R statistical software. The book discusses how to get started in R as well as giving an introduction to data manipulation and writing scripts. From a statistical perspective, the book discusses descriptive statistics and graphing first, followed by chapters on probability theory, sampling and estimation, and null hypothesis testing. After introducing the theory, the book covers the analysis of contingency tables, t-tests, ANOVAs and regression. Bayesian statistics are covered at the end of the book.
- Subjects:
- Psychology and Mathematics and Statistics
- Keywords:
- Statistics Social sciences -- Statistical methods Textbooks Statistics -- Computer programs R (Computer program language)
- Resource Type:
- e-book
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e-book
"This textbook is a concise, understandable, and effective guide on intermediate level mathematics. This book can be used by Adult Basic Education programs at colleges
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
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e-book
Green chemistry, in addition to being a science, it is also a philosophy and nearly a religion. Attendance at American Chemical Society Green Chemistry & Engineering Conferences will instill such an ideal into any attendant because of the nearly universal appeal and possibilities in this novel approach to radicalizing the business of doing science and engineering.
- Subjects:
- Chemistry
- Keywords:
- Green chemistry Textbooks
- Resource Type:
- e-book
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e-book
The Kansas State University Human Nutrition (FNDH 400) Flexbook is a textbook for students taking Kansas State University FNDH 400 course.FNDH 400 is a 3-hour, intermediate-level, human nutrition course at Kansas State University take primarily by sophomores and juniors because it has prerequisites of a college biology and chemistry courses.
- Subjects:
- Food Science
- Keywords:
- Nutrition Textbooks
- Resource Type:
- e-book
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