This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.
Do you wish you could remember the names of people you just met? What if birthdays, anniversaries, and online passwords rarely slipped your mind? Robert Madigan is an expert in the "memory arts"--practical, proven methods for improving the ability to retain and use information. Like taking the stairs instead of the elevator, it's important to exercise memory in simple ways every day. Dr. Madigan explains the science of how memory works and presents innovative mnemonic devices and visualization techniques that will help everyone--from students to seniors--sharpen their mental skills; avoid embarrassing lapses; and remember faces, appointments, facts, numbers, lists, and much more"--
The NIV Application Commentary helps you communicate and apply biblical text effectively in today's context. To bring the ancient messages of the Bible into today's world, each passage is treated in three sections: Original Meaning. Concise exegesis to help readers understand the original meaning of the biblical text in its historical, literary, and cultural context. Bridging Contexts. A bridge between the world of the Bible and the world of today, built by discerning what is timeless in the timely pages of the Bible. Contemporary Significance. This section identifies comparable situations to those faced in the Bible and explores relevant application of the biblical messages. The author alerts the readers of problems they may encounter when seeking to apply the passage and helps them think through the issues involved. This unique, award-winning commentary is the ideal resource for today's preachers, teachers, and serious students of the Bible, giving them the tools, ideas, and insights they need to communicate God's Word with the same powerful impact it had when it was first written.
Andrew Carnegie is remembered as one of the world's great philanthropists. As a boy, he witnessed the benevolence of a businessman who lent his personal book collection to laborer's apprentices. That early experience inspired Carnegie to create the "Free to the People" Carnegie Library in 1895 in Pittsburgh, Pennsylvania. In 1896, he founded the Carnegie Institute, which included a music hall, art museum, and science museum. Carnegie deeply believed that education and culture could lift up the common man and should not be the sole province of the wealthy. Today, his Pittsburgh cultural institution encompasses a library, music hall, natural history museum, art museum, science center, the Andy Warhol Museum, and the Carnegie International art exhibition. In Palace of Culture, Robert J. Gangewere presents the first history of a cultural conglomeration that has served millions of people since its inception and inspired the likes of August Wilson, Andy Warhol, and David McCullough. In this fascinating account, Gangewere details the political turmoil, budgetary constraints, and cultural tides that have influenced the caretakers and the collections along the way. He profiles the many benefactors, trustees, directors, and administrators who have stewarded the collections through the years. Gangewere provides individual histories of the library, music hall, museums, and science center, and describes the importance of each as an educational and research facility. Moreover, Palace of Culture documents the importance of cultural institutions to the citizens of large metropolitan areas. The Carnegie Library and Institute have inspired the creation of similar organizations in the United States and serve as models for museum systems throughout the world.
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