Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises
For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0. It also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many more other enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters.
Museums must comply with a myriad of laws and ethical codes regulating virtually every aspect of their organization and operations. While some of these issues are common to businesses of all kinds, some apply to nonprofit organizations, and others are unique to the museum community. Museum Administration: Law and Practice explores the many areas of law applicable to museums, including governance, personnel, facilities, intellectual property, collections management, and fundraising. Designed as a textbook for use in connection with museums studies programs and law school courses, the book utilizes a “casebook” approach: relevant court decisions and other primary source materials illustrate and enliven the descriptive text. Study questions are included in each chapter so that readers can apply legal and ethical principles to museum-focused fact situations. A comprehensive but concise introductory text to the legal and ethical issues facing museums, Museum Administration: Law and Practice is also an authoritative resource for museum professionals and lawyers.
The now–staunchly red state of Texas was deep blue in 1950 and had virtually no functioning Republican Party. California, on the other hand, was reliably red. Today, both states have jumped to the opposite end of the political spectrum. Texas is one of the most conservative states, while California has become one of today’s most liberal bastions. These are the most dramatic cases, but notable shifts in voting patterns have occurred throughout the western states in recent decades—shifts so varied and complex that they have, until now, eluded the attention focused on the drastic examples of the South and Northeast. Bringing clarity to the remarkably mixed yet poorly understood map of America’s red, blue, and purple western half, Color Coded presents the first comprehensive history of political change and stability in the region between 1950 and 2016. The West, in Walter Nugent’s analysis, includes nineteen states: the thirteen that the U.S. Census Bureau calls the Western Region—roughly from the Rocky Mountains to the Pacific, as well as off-shore Alaska and Hawaii—plus the six Great Plains states from North Dakota south to Texas. Consulting official voting results of more than 5,300 state and national elections, as well as newspaper reports, oral histories, public documents, and other sources, Nugent reveals the ever-shifting patterns that have defined western politics in modern times. Geography, culture, history, political trajectories, and the charisma of key political actors have all played their part in these changes—and will, Nugent asserts, continue to do so for the foreseeable future. A powerful, exhaustively researched study of modern political organization, party development, and shifting voter blocs in the West, Color Coded deftly charts, as well, the profound red-blue tensions that have defined modern America. Returns for the 5,300-plus elections on which the book is based, covering the nineteen western states between 1950 and 2016, are compiled in the book's appendix.
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