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This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable. It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics Textbooks
- Resource Type:
- e-book
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e-book
This grammar provides a grammatical description of Palula, an Indo-Aryan language of the Shina group. The language is spoken by about 10,000 people in the Chitral district in Pakistan’s Khyber Pakhtunkhwa Province. This is the first extensive description of the formerly little-documented Palula language, and is one of only a few in-depth studies available for languages in the extremely multilingual Hindukush-Karakoram region. The grammar is based on original fieldwork data, collected over the course of about ten years, commencing in 1998. It is primarily in the form of recorded, mainly narrative, texts, but supplemented by targeted elicitation as well as notes of observed language use. All fieldwork was conducted in close collaboration with the Palula-speaking community, and a number of native speakers took active part in the process of data gathering, annotation and data management. The main areas covered are phonology, morphology and syntax, illustrated with a large number of example items and utterances, but also a few selected lexical topics of some prominence have received a more detailed treatment as part of the morphosyntactic structure. Suggestions for further research that should be undertaken are given throughout the grammar. The approach is theory-informed rather than theory-driven, but an underlying functional-typological framework is assumed. Diachronic development is taken into account, particularly in the area of morphology, and comparisons with other languages and references to areal phenomena are included insofar as they are motivated and available. The description also provides a brief introduction to the speaker community and their immediate environment.
- Subjects:
- Foreign Language Learning
- Keywords:
- Language languages -- Grammars Indo-Aryan languages -- Grammar Textbooks
- Resource Type:
- e-book
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e-book
The book is based on “First semester in Numerical Analysis with Julia”, written by Giray Ökten. The contents of the original book are retained, while all the algorithms are implemented in Python (Version 3.8.0). Python is an open source (under OSI), interpreted, general-purpose programming language that has a large number of users around the world. Python is ranked the third in August 2020 by the TIOBE programming community index, a measure of popularity of programming languages, and is the top-ranked interpreted language. We hope this book will better serve readers who are interested in a first course in Numerical Analysis, but are more familiar with Python for the implementation of the algorithms. The first chapter of the book has a self-contained tutorial for Python, including how to set up the computer environment. Anaconda, the open-source individual edition, is recommended for an easy installation of Python and effortless management of Python packages, and the Jupyter environment, a web-based interactive development environment for Python as well as many other programming languages, was used throughout the book and is recommended to the readers for easy code development, graph visualization and reproducibility.
- Subjects:
- Computing
- Keywords:
- Numerical analysis Computer programming Programming languages (Electronic computers) Textbooks Python (Computer program language)
- 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
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively. The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject. This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Textbooks Geometry
- Resource Type:
- e-book
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e-book
The Second Edition of Economics of Food and Agricultural Markets (2019) is written for applied intermediate microeconomics courses. The book showcases the power of economic principles to explain and predict issues and current events in the food, agricultural, agribusiness, international trade, labor markets, and natural resource sectors. The field of agricultural economics is relevant, important and interesting. The study of market structures, also called industrial organization, provides powerful, timely, and useful tools for any individual or group making personal choices, business decisions, or public policies in food and agricultural industries. Readers will benefit from a large number of real-world examples and applications of the economic concepts under discussion. The book introduces economic principles in a succinct and reader-friendly format, providing students and instructors with a clear, up-to-date, and straightforward approach to learning how a market-based economy functions, and how to use simple economic principles for improved decision making. The principles are applied to timely, interesting, and important real-world issues through words, graphs, and simple algebra and calculus. This book is intended for students who study agricultural economics, microeconomics, rural development and/or environmental policy. The goal of the book is to encourage students to learn to “think like an economist” through application of benefits and costs to every decision, idea, and strategic decision. This objective is accomplished by including extended examples that cover a broad range of topics including the analysis of consumer decisions, supply and demand, and market efficiency; the design of pricing strategies; advertising and marketing decisions; and public policy analysis. Contents The book begins with a review and introduction of economic principles, including markets, scarcity, and the scientific method. Supply and demand are examined carefully and completely, with numerous real-world examples. The power of the market model is employed to explain and predict economic phenomena and current events. Elasticities are defined, explained, and put to use in decision making for all individuals, businesses, and policy makers. Next, the motivation for and consequences of globalization, immigration, and international trade are explored. Government policies are surveyed, including taxes, subsidies, trade policies, and immigration policies. Monopoly and monopsony are presented, using numerous real-world examples and anecdotes. Pricing strategies are comprehensively discussed, including price discrimination, peak-load pricing, two-part pricing, bundling, and advertising. Monopolistic competition and oligopoly are defined, explained, and used to understand real-world markets. Game theory, or strategic decision making, is introduced and used to demonstrate how to make better decisions in numerous situations when other individuals and groups are affected by a choice or strategy. Repeated games, sequential games, and first-mover advantage are carefully presented and considered.
- Subjects:
- Economics
- Keywords:
- Food industry trade Food industry trade -- Management Agriculture -- Economic aspects Textbooks
- Resource Type:
- e-book
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e-book
Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can be understood as complex systems, where critically important information resides in the relationships between the parts and not necessarily within the parts themselves. This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models. Most of these topics are discussed in two chapters, one focusing on computational modeling and the other on mathematical analysis. This unique approach provides a comprehensive view of related concepts and techniques, and allows readers and instructors to flexibly choose relevant materials based on their objectives and needs. Python sample codes are provided for each modeling example.
- Subjects:
- Computing
- Keywords:
- System analysis -- Mathematical models Computational complexity Textbooks System theory -- Mathematical models
- Resource Type:
- e-book
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e-book
Essentials of Geographic Information Systems integrates key concepts behind the technology with practical concerns and real-world applications. Recognizing that many potential GIS users are nonspecialists or may only need a few maps, this book is designed to be accessible, pragmatic, and concise. Essentials of Geographic Information Systems also illustrates how GIS is used to ask questions, inform choices, and guide policy. From the melting of the polar ice caps to privacy issues associated with mapping, this book provides a gentle, yet substantive, introduction to the use and application of digital maps, mapping, and GIS.
In today's world, learning involves knowing how and where to search for information. In some respects, knowing where to look for answers and information is arguably just as important as the knowledge itself. Because Essentials of Geographic Information Systems is concise, focused, and directed, readers are encouraged to search for supplementary information and to follow up on specific topics of interest on their own when necessary. Essentials of Geographic Information Systems provides the foundations for learning GIS, but readers are encouraged to construct their own individual frameworks of GIS knowledge. The benefits of this approach are two-fold. First, it promotes active learning through research. Second, it facilitates flexible and selective learning—that is, what is learned is a function of individual needs and interest.
Since GIS and related geospatial and navigation technology change so rapidly, a flexible and dynamic text is necessary in order to stay current and relevant. Though essential concepts in GIS tend to remain constant, the situations, applications, and examples of GIS are fluid and dynamic. Though this book is intended for use in introductory GIS courses, Essentials of Geographic Information Systems will also appeal to the large number of certificate, professional, extension, and online programs in GIS that are available today. In addition to providing readers with the tools necessary to carry out spatial analyses, Essentials of Geographic Information Systems outlines valuable cartographic guidelines for maximizing the visual impact of your maps. The book also describes effective GIS project management solutions that commonly arise in the modern workplace.
- Subjects:
- Land Surveying and Geo-Informatics and Computing
- Keywords:
- Geographic information systems Textbooks
- Resource Type:
- e-book
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e-book
Personal Finance by Rachel Siegel and Carol Yacht is a comprehensive Personal Finance text which includes a wide range of pedagogical aids to keep students engaged and instructors on track. This book is arranged by learning objectives. The headings, summaries, reviews, and problems all link together via the learning objectives. This helps instructors to teach what they want, and to assign the problems that correspond to the learning objectives covered in class. Personal Finance includes personal finance planning problems with links to solutions, and personal application exercises, with links to their associated worksheet(s) or spreadsheet(s). In addition, the text boasts a large number of links to videos, podcasts, experts' tips or blogs, and magazine articles to illustrate the practical applications for concepts covered in the text. Rachel would love to hear from you. If you have questions about teaching with her book, comments about teaching Personal Finance, or just feedback, feel free to email her at rachelsiegelcfa@hughes.net. This textbook has been used in classes at: Miami University.
- Subjects:
- Finance
- Keywords:
- Investments Finance Personal Textbooks
- Resource Type:
- e-book