Introduction To Complex Theory Of Differential Equations

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This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds.

Although the theory of differential equations on real manifolds is well known – it is described in thousands of papers and its usefulness requires no comments or explanations – to date specialists on differential equations have not focused on the complex theory of partial differential equations. However, as well as being remarkably beautiful, this theory can be used to solve a number of problems in real theory, for instance, the Poincaré balayage problem and the mother body problem in geophysics.

The monograph does not require readers to be familiar with advanced notions in complex analysis, differential equations, or topology. With its numerous examples and exercises, it appeals to advanced undergraduate and graduate students, and also to researchers wanting to familiarize themselves with the subject.

Lectures On Classical And Quantum Theory Of Fields, Second Edition

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This textbook addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject.

The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

Evolve – A Bridge Between Probability, Set Oriented Numerics And Evolutionary Computation Vii

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This book comprises nine selected works on numerical and computational methods for solving multiobjective optimization, game theory, and machine learning problems.

It provides extended versions of selected papers from various fields of science such as computer science, mathematics and engineering that were presented at EVOLVE 2013 held in July 2013 at Leiden University in the Netherlands. The internationally peer-reviewed papers include original work on important topics in both theory and applications, such as the role of diversity in optimization, statistical approaches to combinatorial optimization, computational game theory, and cell mapping techniques for numerical landscape exploration. Applications focus on aspects including robustness, handling multiple objectives, and complex search spaces in engineering design and computational biology.

Granular, Soft And Fuzzy Approaches For Intelligent Systems

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This book offers a comprehensive report on the state-of-the art in the broadly-intended field of “intelligent systems”. After introducing key theoretical issues, it describes a number of promising models for data and system analysis, decision making, and control. It discusses important theories, including possibility theory, the Dempster-Shafer theory, the theory of approximate reasoning, as well as computing with words, together with novel applications in various areas, such as information aggregation and fusion, linguistic data summarization, participatory learning, systems modeling, and many others. By presenting the methods in their application contexts, the book shows how granular computing, soft computing and fuzzy logic techniques can provide novel, efficient solutions to real-world problems. It is dedicated to Professor Ronald R. Yager for his great scientific and scholarly achievements, and for his long-lasting service to the fuzzy logic, and the artificial and computational intelligence communities. It has been motivated by the authors’ appreciation of his original thinking and groundbreaking ideas, with a special thought to his valuable research on the computerized implementation of various aspects of human cognition for decision-making and problem-solving.

The Stability Of Belief: How Rational Belief Coheres With Probability

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In everyday life we normally express our beliefs in all-or-nothing terms: I believe it is going to rain; I don't believe that my lottery ticket will win. In other cases, if possible, we resort to numerical probabilities: my degree of belief that it is going to rain is 80%; the probability that I assign to my ticket winning is one in a million. It is an open philosophical question how all-or-nothing belief and numerical belief relate to each other, and how we ought to reason with them simultaneously. The Stability of Belief develops a theory of rational belief that aims to answer this question by building new bridges between logic and probability theory, traditional and mathematical epistemology, and theoretical and practical rationality.

Hannes Leitgeb develops a joint normative theory of all-or-nothing belief and numerical degrees of belief. While rational all-or-nothing belief is studied in traditional epistemology and is usually assumed to obey logical norms, rational degrees of belief constitute the subject matter of Bayesian epistemology and are normally taken to conform to probabilistic norms. One of the central open questions in formal epistemology is what beliefs and degrees of belief have to be like in order for them to cohere with each other. The answer defended in this book is a stability account of belief: a rational agent believes a proposition just in case the agent assigns a stably high degree of belief to it. Leitgeb determines this theory's consequences for, and applications to, learning, suppositional reasoning, decision-making, assertion, acceptance, conditionals, and chance. The volume builds new bridges between logic and probability theory, traditional and formal epistemology, theoretical and practical rationality, and synchronic and diachronic norms for reasoning.

Nonlinear Psychoanalysis: Notes From Forty Years Of Chaos And Complexity Theory

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Nonlinear concepts from chaos theory, complexity studies, and fractal geometry have transformed the way we think about the mind. Nonlinear Psychoanalysis shows how nonlinear dynamics can be integrated with psychoanalytic thinking to shed new light on psychological development, therapeutic processes, and fundamental psychoanalytic concepts.

Starting with a personal history of the author’s engagement with nonlinear dynamics and psychoanalysis, this book describes how his approach applies to diagnosis of psychological conditions, concepts of normal and pathological development, gender, research methods, and finally the theory and practice of psychoanalysis and psychodynamic psychotherapy. This book is full of new ideas about the basic nonlinear processes of human development, nonlinear views of gender and fundamental psychoanalytic process like working through, and the nature of the therapeutic process as conceptualized in terms of the theory of coupled oscillators. Galatzer-Levy questions many standard psychoanalytic formulations and points to a freer practice of psychoanalysis and psychoanalytic thinking. His new approach opens the reader’s eyes to ways in which development and treatment can occur through processes not now included in standard psychoanalytic theory. The book not only provides useful theories but also helps readers take note of commonly passed over phenomena that were unseen for lack of a theory to explain them.

Galatzer-Levy brings an unusual combination of training in psychiatry, psychoanalysis, and mathematics to this unique study, which summarizes his forty years of exploration of nonlinearity and psychoanalysis. Nonlinear Psychoanalysis will appeal to psychoanalysts and psychotherapists as well as students of nonlinear dynamics systems.

Mathematical Logic Mathematical Foundation: Basic Theory Of Computer Science

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Introduction:

This book adds new mathematics to the research note at the university and describes it. I am happy that I was born and brought to a Japanese. Languages ​​as wide as Japanese do not see examples. In many cases it is difficult to translate into a foreign language. I apologize for the part that can not be translated. I think that mathematics is a worldwide common language.

A mathematical foundation problem and occurrence of fundamental theory of mathematics

Set theory introduced by G.Cantre at the end of the 19th century not only as a means of researching new mathematical objects such as point set theory and order numbers but also redefines various objects and theories of mathematics from more basic concepts It is a research which constitutes. For example, in R. Dedekind 's natural number theory (for number theory we will discuss it later), the system of natural numbers is made up of sets and correspondences, and Dedekind' s irrational number theory also makes real numbers a special set of rational numbers As follows. In this way, the mathematical conceptual structure becomes remarkably smooth and unified by using the collective concept. Despite the fact that the contradiction of the early set theory became clear as an inverse of the set theory, it is gradually recognized that the concept concept is fundamental and useful as a place to develop mathematics It was.

However, the fact that the effective usage of the collective concept is quite similar to the usage leading to the argument, and that the inversion appears almost within the scope of the formal logic is based on mathematical reflections on the conceptual composition method and the logic in mathematics It encouraged, mathematics foundation problem occurred. Depending on the idea of ​​what mathematics is, the standpoint of this reversal comes from the beginning of the occurrence, such as LEJ Brewer's intuitionism, G. Frege and B. Russell's logicalism, D. Hilbert's formalism It split. (My position is axiomatic (described later))

Logicism is a theory that regards it as a field of mathematical logic. The solution of the reversal from this position was chiefly cast by Russell. Russell argued that the argument arises because it ignores the types of various concepts. Logicism is nothing but the basis or background for this claim.

Sofsem 2017: Theory And Practice Of Computer Science

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This book constitutes the refereed proceedings of the 43rd International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2017, held in Limerick, Ireland, in January 2017. The 34 papers presented in this volume were carefully reviewed and selected from 41 submissions. They were organized in topical sections named: foundations in computer science; semantics, specification and compositionality; theory of mobile and distributed systems; verification and automated system analysis; petri nets, games and relaxed data structures; graph theory and scheduling algorithms; quantum and matrix algorithms; planar and molecular graphs; coloring and vertex covers; algorithms for strings and formal languages; data, information and knowledge engineering; and software engineering: methods, tools, applications.

Game Theory: A Classical Introduction, Mathematical Games, And The Tournament

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Editor: Daniel Ashlock, University of Guelph

This book is a formalization of collected notes from an introductory game theory course taught at Queen's University. The course introduced traditional game theory and its formal analysis, but also moved to more modern approaches to game theory, providing a broad introduction to the current state of the discipline. Classical games, like the Prisoner's Dilemma and the Lady and the Tiger, are joined by a procedure for transforming mathematical games into card games. Included is an introduction and brief investigation into mathematical games, including combinatorial games such as Nim. The text examines techniques for creating tournaments, of the sort used in sports, and demonstrates how to obtain tournaments that are as fair as possible with regards to playing on courts. The tournaments are tested as in-class learning events, providing a novel curriculum item. Example tournaments are provided at the end of the book for instructors interested in running a tournament in their own classroom. The book is appropriate as a text or companion text for a one-semester course introducing the theory of games or for students who wish to get a sense of the scope and techniques of the field.

Convex Optimization For Signal Processing And Communications: From Fundamentals To Applications

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Convex Optimization for Signal Processing and Communications: From Fundamentals to Applications provides fundamental background knowledge of convex optimization, while striking a balance between mathematical theory and applications in signal processing and communications. In addition to comprehensive proofs and perspective interpretations for core convex optimization theory, this book also provides many insightful figures, remarks, illustrative examples, and guided journeys from theory to cutting-edge research explorations, for efficient and in-depth learning, especially for engineering students and professionals. With the powerful convex optimization theory and tools, this book provides you with a new degree of freedom and the capability of solving challenging real-world scientific and engineering problems.

For Humanism: Explorations In Theory And Politics

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Today, anti-humanism is a dominant, even definitive, feature of contemporary theory. This book sets out to challenge this by establishing the historical context that resulted in humanism’s eclipse, critiquing anti-humanism, and exploring alternative, neglected traditions and possible new directions.

Humanism is a diverse and complex tradition that may facilitate the renewal of progressive theory through the championing of human subjectivity, agency and freedom. Across four extended essays, David Alderson, Kevin Anderson, Barbara Epstein and Robert Spencer engage critically with the Marxist tradition, recent developments in poststructuralism, postcolonialism and queer theory.

The Palgrave Handbook Of Leisure Theory

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This is the first handbook devoted entirely to leisure theory, charting the history and philosophy of leisure, theories in religion and culture, and rational theories of leisure in the Western philosophical tradition, as well as a range of socio-cultural theories from thinkers such as Adorno, Bauman, Weber and Marx. Drawing on contributions from experts in leisure studies from around the world, the four sections cover: traditional theories of leisure; rational theories of leisure; structural theories of leisure; and post-structural theories of leisure.

The Palgrave Handbook of Leisure Theory is essential reading for students and scholars working in leisure studies, social theory as well as those working on the problem of leisure in the wider humanities and social sciences.

Algebraic Coding Theory Over Finite Commutative Rings (springerbriefs In Mathematics)

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This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject.

Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. Since its inception, it has grown as a branch of mathematics, and has since been expanded to consider any finite field, and later also Frobenius rings, as its alphabet. This book presents a broad view of the subject as a branch of pure mathematics and relates major results to other fields, including combinatorics, number theory and ring theory.

Suitable for graduate students, the book will be of interest to anyone working in the field of coding theory, as well as algebraists and number theorists looking to apply coding theory to their own work.

Theory Of Architecture: Concept To Commissioning

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Architecture is a creative art with a lot of science embedded into this art. Being the mother of all art forms, the responsibility of an Architect is much more in the society at large. His creations will be standing there and no one can avoid seeing it. But Architectural design is also a science driven process. The purpose of this book is to share and note down the various aspects of this process of going through the exercise of Architectural Design. How much added Services and Engineering knowledge is required for an Architect to captain his project? What are the dos and don’ts of this process? How to avoid making mistakes and latter correcting them at someone else’s' cost. There is a theory to this entire game of dreams, which I call the Theory of Architecture : C2C. What are the various steps that lead us from one to another? This book tries to document this process and share the experience that I have gained in my exposure to this grand industry.

Overview Of Gravitational Waves, An: Theory, Sources And Detection

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by Gerard Auger (Author), Eric Plagnol (Editor)

This book describes detection techniques used to search for and analyze gravitational waves (GW). It covers the whole domain of GW science, starting from the theory and ending with the experimental techniques (both present and future) used to detect them.The theoretical sections of the book address the theory of general relativity and of GW, followed by the theory of GW detection. The various sources of GW are described as well as the methods used to analyse them and to extract their physical parameters. It includes an analysis of the consequences of GW observations in terms of astrophysics as well as a description of the different detectors that exist and that are planned for the future.With the recent announcement of GW detection and the first results from LISA Pathfinder, this book will allow non-specialists to understand the present status of the field and the future of gravitational wave science.