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Introduction to Optimization and Semidifferential Calculus
A self-contained undergraduate-level course in optimization with semidifferential calculus, complete with numerous examples and exercises.
Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition
This second edition provides an enhanced exposition of the long-overlooked Hadamard semidifferential calculus, first introduced in the 1920s by mathematicians Jacques Hadamard and Maurice René Fréchet. Hadamard semidifferential calculus is possibly the largest family of nondifferentiable functions that retains all the features of classical differential calculus, including the chain rule, making it a natural framework for initiating a large audience of undergraduates and non-mathematicians into the world of nondifferentiable optimization. Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition builds upon its prior editions foundations in Hadamard semidifferent...
Shelley's Secrets
At the beginning, even though Shelley is only twelve, about to turn thirteen, don't let her age fool you. She's a vivacious, passionate little bombshell, always searching for her one true love. Along the way, she faces many temptations, and struggles with moral issues, as a result of her strict upbringing. What paths will she follow? Will she ever make the "right" choice, or throw her chances for happiness and success away? Follow her from her first kiss to womanhood, go with her from happy and sad, see her through jams and situations, and watch her mature into a grown woman. After all is said and done, will she have found "Mr. Right"? An interesting read.
Frontiers in Belief Revision
Frontiers in Belief Revision is a unique collection of leading edge research in Belief Revision. It contains the latest innovative ideas of highly respected and pioneering experts in the area, including Isaac Levi, Krister Segerberg, Sven Ove Hansson, Didier Dubois, and Henri Prade. The book addresses foundational issues of inductive reasoning and minimal change, generalizations of the standard belief revision theories, strategies for iterated revisions, probabilistic beliefs, multiagent environments and a variety of data structures and mechanisms for implementations. This book is suitable for students and researchers interested in knowledge representation and in the state of the art of the theory and practice of belief revision.
Advances in Disordered Systems, Random Processes and Some Applications
This book offers a unified perspective on the study of complex systems with contributions written by leading scientists from various disciplines, including mathematics, physics, computer science, biology, economics and social science. It is written for researchers from a broad range of scientific fields with an interest in recent developments in complex systems.
Foundations of Quantitative Finance, Book I: Measure Spaces and Measurable Functions
This is the first in a set of 10 books written for professionals in quantitative finance. These books fill the gap between informal mathematical developments found in introductory materials, and more advanced treatments that summarize without formally developing the important foundational results professionals need. Book I in the Foundations in Quantitative Finance Series develops topics in measure spaces and measurable functions and lays the foundation for subsequent volumes. Lebesgue and then Borel measure theory are developed on R, motivating the general extension theory of measure spaces that follows. This general theory is applied to finite product measure spaces, Borel measures on Rn, ...
Combinatorial Dynamics And Entropy In Dimension One (2nd Edition)
This book introduces the reader to the two main directions of one-dimensional dynamics. The first has its roots in the Sharkovskii theorem, which describes the possible sets of periods of all cycles (periodic orbits) of a continuous map of an interval into itself. The whole theory, which was developed based on this theorem, deals mainly with combinatorial objects, permutations, graphs, etc.; it is called combinatorial dynamics. The second direction has its main objective in measuring the complexity of a system, or the degree of “chaos” present in it; for that the topological entropy is used. The book analyzes the combinatorial dynamics and topological entropy for the continuous maps of either an interval or the circle into itself.
Random-Like Bi-level Decision Making
Among the various multi-level formulations of mathematical models in decision making processes, this book focuses on the bi-level model. Being the most frequently used, the bi-level model addresses conflicts which exist in multi-level decision making processes. From the perspective of bi-level structure and uncertainty, this book takes real-life problems as the background, focuses on the so-called random-like uncertainty, and develops the general framework of random-like bi-level decision making problems. The random-like uncertainty considered in this book includes random phenomenon, random-overlapped random (Ra-Ra) phenomenon and fuzzy-overlapped random (Ra-Fu) phenomenon. Basic theory, models, algorithms and practical applications for different types of random-like bi-level decision making problems are also presented in this book.
Lexicon of Reconstructed Pronunciation
Known for his pioneering work in Chinese historical phonetics, Edwin Pulleyblank has compiled this Lexicon to present in convenient dictionary form the result of his researches on the phonology of Middle Chinese and its evolution to Mandarin. The Lexicon complements Pulleyblank's earlier book, Middle Chinese, by providing reconstructed pronunciation for approximately 8,000 Chinese characters at three historical stages. Early Middle Chinese is the language of the Qieyun rhyme dictionary of AD 601, which codified the standard literary language of both North and South China the preceding period of division. Pulleyblank's reconstruction is a thorough reworking of that of Bernhard Karlgren, compl...
