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Fuzzy Clustering Algorithms
This book bridges theoretical concepts in fuzzy clustering with practical applications. It elucidates the mathematical foundations of fuzzy clustering methods, serving as a much-needed resource in the field. By explicating complex concepts, it will aid researchers, practitioners, and students in ...
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Observability and Mathematics Modeling
Observability in Mathematics was developed based on the denial of the concept of infinity. The book introduces Observers into arithmetic, and arithmetic becomes dependent on Observers. And after that, the basic mathematical parts also become dependent on Observers. One of such parts is arithmeti...
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Complex Engineering Systems – Modeling and Optimization
Complex Engineering Systems - Modeling and Optimization offers an in-depth exploration of the foundational principles, advanced methodologies, and interdisciplinary applications essential for understanding and managing intricate engineering systems. Spanning mathematical modeling, numerical simul...
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Variational Methods in Nonlinear Analysis
The second edition covers the fundamentals of nonlinear analysis, variational methods and their applications. Also it covers Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomo...
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Analysis with Mathematica®
A computer algebra system such as Mathematica® is able to do much more than just numerics: This revised text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica® represents domains, qualifiers and limits to implement actual proofs – a requirement ...
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Mathematical Cryptology
This text offers a comprehensive introduction to cryptology, based on elementary number theory and essential numerical algorithms. It covers core mathematical topics —number theory, algebraic structures, matrices, determinants, and polynomials —through their use in cryptography. Symmetric-key cry...
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Nonlinear Analysis and Computational Techniques
The series is aimed specifically at publishing peer-reviewed reviews and contributions presented at conferences, workshops, and international seminars as well as edited volumes commemorating and honoring significant achievements by mathematicians. This content covers various topics within pure an...
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Time Scales Analysis
In Chapter 1, time scales are defined and some examples are given. Forward jump operators, backward jump operators, forward graininess functions and backward graininess functions are defined and some of their properties are given. The induction principle and dual induction principle are introduce...
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Functional Phase Space Methods
This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail ...
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Banach and C*-Algebras
The series de Gruyter Studies in Mathematics was founded in 1982 by the late Professor Heinz Bauer and Professor Peter Gabriel. The series publishes monographs and textbooks in mathematics and its applications. Apart from covering important areas of current interest, a major aim is to make topi...
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Stochastic Finance
This book provides an introduction to probabilistic methods in finance, based on stochastic models in discrete time. It is aimed primarily at graduate students in mathematics but may also benefit mathematicians in academia and the financial industry. In this fifth edition, the entire text has ...
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Weighted Complete Intersections
This book discusses geometric properties of smooth weighted intersections in the context of mirror symmetry. It includes a series of open problems in algebraic geometry and mirror symmetry and a series of examples methods and applications. The book will appeal to graduate students and researchers...
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Complex Heterogeneous Systems
The author's research on energy storage systems generally was confronted with five characteristics, i.e., complex, interacting, transporting, reacting, and heterogeneous systems. Hence, we refer to these kind of systems as Complex Heterogeneous Systems (CHeSs). The work considers interacting sy...
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Laurent Polynomials in Mirror Symmetry
Mirror symmetry is one of the most exciting ideas in mathematics to emerge in the last two decades. It was introduced in physics as a duality between superconformal field theories. This book discusses this rapidly developing aspect of string theory.
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Risk Management for Cryptocurrency Portfolios
Cryptocurrencies have transformed finance by opening new avenues for investment and innovation, while exposing portfolios to extreme volatility, fat tails, liquidity shocks, and shifting regulation. Risk Management for Cryptocurrency Portfolios provides a rigorous, practice-oriented toolkit for t...
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Fluid Mechanics and Statistical Methods in Engineering
This book is a volume in the Penn Press Anniversary Collection. To mark its 125th anniversary in 2015, the University of Pennsylvania Press rereleased more than 1,100 titles from Penn Press's distinguished backlist from 1899-1999 that had fallen out of print. Spanning an entire century, the Anniv...
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Asclepius of Tralles
This is a print on demand edition of an important, hard-to-find publication.
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Practical Geometry in the High Middle Ages
Contents: (I) The Place of Practical Geometry in the Middle Ages: The Nature of Practical Geometry; Practical Geometry in Education; Theory and Practice in Geometry; and Practical Geometry and Practical Concerns; (II) The Contents of “Artis cuiuslibet consummatio” and the “Pratike de geometrie”; ...
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Eleven-digit Regular Sexagesimals and Their Recipricols
This is a print on demand edition of an important, hard-to-find publication. Illustration.
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