Bøger i IISc Lecture Notes Series serien

This book presents a comprehensive approach to the versatile and fascinating field of carbohydrate chemistry. It covers, besides the colorful historical perspective within the utilization of carbohydrates and their derivatives, all modern aspects on their

This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the ΓÇ£scienceΓÇ¥ behind traditional as well as emerging economic applications for the society.The importance of the discipline of game theory has been recognized through numerous Nobel prizes in economic sciences being awarded to game theorists, including the 2005, 2007, and 2012 prizes. The book distills the marvelous contributions of these and other celebrated game theorists and presents it in a way that can be easily understood even by senior undergraduate students.A unique feature of the book is its detailed coverage of mechanism design which is the art of designing a game among strategic agents so that a social goal is realized in an equilibrium of the induced game. Another feature is a large number of illustrative examples that are representative of both classical and modern applications of game theory and mechanism design. The book also includes informative biographical sketches of game theory legends, and is specially customized to a general engineering audience.After a thorough reading of this book, readers would be able to apply game theory and mechanism design in a principled and mature way to solve relevant problems in computer science (esp, artificial intelligence/machine learning), computer engineering, operations research, industrial engineering and microeconomics.

Suitable for a graduate course in pure mathematics, this title provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. It delves into the rich interplay between algebraic geometry and commutative algebra.

Adopts a detailed and methodological algorithmic approach to explain the concepts of pattern recognition. This book deals with topics such as: pattern representation, nearest neighour based classifiers, neural networks, support vector machines, and decision trees.

Deals with Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years. This title focuses on its differential geometric developments by several authors. It contains major historic differential geometric generalizations on Schwarz's lemma.