The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions, • continuous dependence on initial data, • flows, • qualitative behaviour of solutions, • limit sets, • stability theory, • invariance principles, • introductory control theory, • feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.
The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions, • continuous dependence on initial data, • flows, • qualitative behaviour of solutions, • limit sets, • stability theory, • invariance principles, • introductory control theory, • feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.
The subject matter of thin-films – which play a key role in microelectronics – divides naturally into two headings: the processing / structure relationship, and the structure / properties relationship. Part II of 'Materials Science in Microelectronics' focuses on the latter of these relationships, examining the effect of structure on the following: • Electrical properties • Magnetic properties • Optical properties • Mechanical properties • Mass transport properties • Interface and junction properties • Defects and properties Captures the importance of thin films to microelectronic development Examines the cause / effect relationship of structure on thin film properties
Promoted as virtually unsinkable, the ultimate luxury liner, the largest ship in the world, the RMS Titanic sank on its maiden voyage in April 1912, taking some 1,500 people to their death. Aboard the ship were the wealthy and famous as well as hundreds of immigrants seeking a new life in America. The most dramatic marine disaster of modern times, the Titanic tragedy captured the interest and imagination of the entire world. The intensity of interest in the catastrophe has increased, particularly after discovery of the wreck off the coast of Newfoundland in the mid-1980s. The resulting literature is vast, including both scholarly and popular sources. Covering more than the published literature, the book also surveys memorabilia, artifacts, cultural icons, music, film, and exhibitions. Divided into three sections, the work opens with a historiographical survey of the literature, then includes descriptive lists of more peripheral material, and concludes with a bibliography of 674 entries. All items covered in the historiographical survey are included in the bibliography. This useful guide will appeal to researchers - both laymen and scholars - interested in the Titanic.
A Doody’s Core Title for 2019! This must-have fourth edition of top-selling Case Files: Family Medicine is reorganized by topic for easier learning during the clerkship, and is updated to reflect the latest guidelines on management of common conditions. 60 high-yield cases feature complete discussions, pearls, and USMLE-style review questions to help you excel in the clerkship and earn honors on the shelf-exam. Features Updated to reflect new guidelines for common conditions, including HTN and cholesterol management 60 realistic family medicine cases with high-yield discussions aligned with the national family medicine clerkship curriculum USMLE-style review questions and clinical pearls accompany each case Primer on how to approach clinical problems and think like an experienced doctor
Sixty high-yield family medicine cases help you sharpen your diagnostic and problem-solving skills You need exposure to high-yield cases to excel on the family medicine clerkship and the shelf-exam. Case Files: Family Medicine presents sixty real-life cases that illustrate essential concepts. Each case includes complete discussion, clinical pearls, references, definitions of key terms, and USMLE-style review questions with detailed explanations of the correct answers. With this system, you'll learn in the context of real patients, rather than merely memorize facts.
This book explores the religious, political and social fortunes of Waterford’s minority Church of Ireland community during a turbulent period in Irish history. In the decades under consideration, an emerging and strident Catholic democracy eroded the power and social position of a once powerful ruling class. Waterford’s fearful and confused Anglicans took refuge and found consolation in a community which defined itself increasingly in denominational terms. This denominationalism came to be characterised by its Protestant evangelicalism and loyalty to the union with Britain. A unique insight is given into provincial Anglicanism, with a detailed examination of the character of its religious life and practice. There is a particular focus on one of the most controversial figures in the nineteenth century Anglican Church, Robert Daly, Bishop of Waterford, 1843-1872. Described by a contemporary as ‘a Protestant Pope’, this cleric inspired admiration and loathing, as he strove to resist the advances of an increasingly confident and vibrant Catholic Church. Studies of bishops of the nineteenth century Protestant Church have been largely conspicuous by their absence, but this book makes a valuable and original contribution to a glaring hole in this area of historiography. This study of Waterford’s Anglicans adds significantly to our understanding of the nature of Irish Protestantism at a time of crisis and decline.
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.