Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.
When it appeared in 1949, the first edition of Ray Allen Billington's 'Westward Expansion' set a new standard for scholarship in western American history, and the book's reputation among historians, scholars, and students grew through four subsequent editions. This abridgment and revision of Billington and Martin Ridge's fifth edition, with a new introduction and additional scholarship by Ridge, as well as an updated bibliography, focuses on the Trans-Mississippi frontier. Although the text sets out the remarkable story of the American frontier, which became, almost from the beginning, an archetypal narrative of the new American nation's successful expansion, the authors do not forget the social, environmental, and human cost of national expansion.
The second of a two-part work commissioned by the American Society of Zoologists to celebrate its centennial (the first was The American development of biology). Twelve essays offer perspectives on the changing nature of biology in the period 1920-1950. Annotation copyrighted by Book News, Inc., Portland, OR
The author examines how systems connect, and the effects these connections have upon the successful adaptation of systems. His conclusions are explained using general concepts (such as, input, output, or operation), validated by theory, and are appli-cable to concrete systems. From these, it is principally the specifics of human thinking and behavior that have been examined in detail. The main point of this model is its new approach to, and new slant on, modern academic research. Yet the conclusions of the model do not contradict current trends in modern psychology, but rather are in harmony with other cultural systems beyond the scope of science (such as religion, art, common sense).
The series Topics in Heterocyclic Chemistry presents critical reviews on present and future trends in the research of heterocyclic compounds. Overall the scope is to cover topics dealing with all areas within heterocyclic chemistry, both experimental and theoretical, of interest to the general heterocyclic chemistry community. The series consists of topic related volumes edited by renowned editors with contributions of experts in the field. All chapters from Topics in Heterocyclic Chemistry are published Online First with an individual DOI. In references, Topics in Heterocyclic Chemistry is abbreviated as Top Heterocycl Chem and cited as a journal.
This unique book provides a concise presentation of many of the fundamental strategies for calculating approximations to the oscillatory solutions of “truly nonlinear” (TNL) oscillator equations. The volume gives a general overview of the author's work on harmonic balance, iteration and combined linearization-averaging methods. However, full discussions are also presented on parameter expansion procedures and a first-order averaging technique for TNL oscillators. The calculational basis of each method is clarified by applying them to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods.The book is self-contained and therefore suitable for both classroom use and self-study by students and professionals who desire to learn, understand, and apply these technique to the field of nonlinear oscillations.