Expansions

(Jazz Book). The second edition of this bestseller comes highly endorsed from the pros and is published at a new lower price! It continues to be a "must-have" for students of improvisation, demonstrating developing new material for jazz-fusion.

Describes a new asymptotic method of high-precision evaluation of certain integrals, related to the classical method of steepest descents.

Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.

Asia as we know it today is the product of a wide range of polity expansions over time. Recognising the territorial expansions of Asian polities large and small through the last several millennia helps rectify the fallacy, long-held and deeply entrenched, that Asian polities have been interested only in the control of populations, not in expanding their command of territory. In countering this misapprehension, this book suggests that Asian polities have indeed been concerned with territorial control and expansion over time, whether for political or strategic advantage, trade purposes, defence needs, agricultural expansion or increased income through taxation. The book explores the historical experiences of a set of polity expansions within Asia, specifically in East and Southeast Asia, and, by examining the motivations, mechanisms, processes, validations and limitations of these Asian territorial expansions, reveals the diverse avenues by which Asian polities have grown. The chapters draw on these historical examples to highlight the connections between Asian polity expansion and centralised political structures, and this aids in a broader and more comprehensive understanding of Asian political practice, both past and present. Through these chapter studies and the integrative introduction, the book interrogates key concepts such as imperialism and colonialism, and the applicability and relevance of such terminology in Asian contexts, both historical and contemporary. Comparisons and contrasts with European historical expansions are also suggested. This book will be welcomed by students and scholars of Asian history, as well as by those with an interest in Asian interactions, international relations, polity expansion, Asia--Europe historical comparisons and globalisation.

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.

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.

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.

A detective role-playing game in a city of ordinary people and legendary powers