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Osteoarthritis (OA) is perhaps one of the oldest and most common diseases in the world. It is the most common cause of knee pain and a leading cause of disability globally. The incidence of OA is likely to rise exponentially in the coming times due to an increasingly aging population and other factors like Obesity, Vitamin D deficiency and injuries of the knee joint. It is of paramount importance to understand its pathophysiology and identify the risk factors of OA, to find the optimal preventive and therapeutic solutions for it. This book on Knee OA aims at providing an up to date knowledge about the Knee OA, starting from its definition, etiology, diagnosis and management strategies. Contributors from various institutes have shared their experience and knowledge thereby providing a comprehensive up-to-date information on their respective topics. The monograph can be a useful reference source on Knee OA for the patients, clinicians, and researchers.
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Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.
Cardiac Drugs describes the latest advances in the rapidly evolving area of cardiovascular pharmacology. Written by renowned, USbased experts in cardiology, this book discusses the drug groups for different diseases, such as acute coronary syndromes, hypertension, angina and heart failure. Separate chapters examine cardiac drugs in pregnancy and lactation, and future directions. Enhanced by full colour images and illustrations, this easy to follow text offers practical advice on how to manage cardiac diseases, with a focus on hands-on therapeutic guidance for clinicians.
This Third Edition, in response to the enthusiastic reception given by academia and students to the previous edition, offers a cohesive presentation of all aspects of theoretical computer science, namely automata, formal languages, computability, and complexity. Besides, it includes coverage of mathematical preliminaries. NEW TO THIS EDITION • Expanded sections on pigeonhole principle and the principle of induction (both in Chapter 2) • A rigorous proof of Kleene’s theorem (Chapter 5) • Major changes in the chapter on Turing machines (TMs) – A new section on high-level description of TMs – Techniques for the construction of TMs – Multitape TM and nondeterministic TM • A new c...