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 Swartz, Charles, 1938
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (302 p.) : ill.
 Summary

"The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz–Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach–Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali–Hahn–Saks Theorem from measure theory and the Hahn–Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis." Provided by publisher.
 Arai, Asao, 1954
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (893 p.) : ill.
 Summary

"This book provides a comprehensive introduction to Fock space theory and its applications to mathematical quantum field theory. The first half of the book, Part I, is devoted to detailed descriptions of analysis on abstract Fock spaces (full Fock space, boson Fock space, fermion Fock space and bosonfermion Fock space). It includes the mathematics of second quantization, representation theory of canonical commutation relations and canonical anticommutation relations, Bogoliubov transformations, infinitedimensional Dirac operators and supersymmetric quantum field in an abstract form. The second half of the book, Part II, covers applications of the mathematical theories in Part I to quantum field theory. Four kinds of free quantum fields are constructed and detailed analyses are made. A simple interacting quantum field model, called the van Hove model, is fully analyzed in an abstract form. Moreover, a list of interacting quantum field models is presented and a short description to each model is given. To graduate students in mathematics or physics who are interested in the mathematical aspects of quantum field theory, this book is a good introductory text. It is also well suited for selfstudy and will provide readers a firm foundation of knowledge and mathematical techniques for reading more advanced books and current research articles in the field of mathematical analysis on quantum fields. Also, numerous problems are added to aid readers to develop a deeper understanding of the field." Provided by publisher.
 Geretschläger, Robert.
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (292 p.) : ill.
 Summary

"This book contains the most interesting problems from the first 24 years of the "Mathematical Duel", an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláše Koperníka in Bílovec, Czech Republic, the Akademicki Zespół Szkół Ogólnokształcących in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba Škody in Přerov, Czech Republic. The problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiadstyle competitions. Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge." Provided by publisher.
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (448 p.) : ill. (some col.)
 Summary

"This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as frcodes and robot motion planning. The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis–Januszkiewicz spaces, momentangle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of frcodes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics. The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students."Publisher's website.
 Mainzer, Klaus.
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (471 p.) : ill. (some col.)
 Summary

"In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy. Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT)." Provided by publisher.
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (258 p.) : ill. (some col.)
 Summary

 Groups with the Weak Minimal Condition on NonPermutable Subgroups / Laxmi K Chatuat and Martyn R Dixon
 A Survey: Shamir Threshold Scheme and Its Enhancements / Chi Sing Chum, Benjamin Fine and Xiaowen Zhang
 The ZappaSzep Product of Left Orderable Groups / Fabienne Chouraqui
 Totally Disconnected Groups from BaumslagSolitar Groups / Murray Elder and George Willis
 Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA Groups / B Fine, A M Gaglione and D Spellman
 On CT and the CSA Property / B Fine, A M Gaglione, G Rosenberger and D Spellman
 The Universal Theory of Free Burnside Groups of Large Prime Exponent / Anthony M Gaglione, Seymour Lipschutz and Dennis Spellman
 Primitive Curve Lengths on Pairs of Pants / Jane Gilman
 Drawing Inferences Under Maximum Entropy From Relational Probabilistic Knowledge Using Group Theory / Gabriele KernIsberner, Marco Wilhelm and Christoph Beierle
 On some InfiniteDimensional Linear Groups and the Structure of Related Modules / L A Kurdachenko and I Ya Subbotin
 On New Analogs of Some Classical Group Theoretical Results in Lie Rings / L A Kurdachenko, A A Pypka and I Ya Subbotin
 LogSpace Complexity of the Conjugacy Problem in Wreath Products / Alexei Myasnikov, Svetla Vassileva and Armin Weiss
 Group Presentations, Cayley Graphs and Markov Processes / Peter Olszewski.
 Mathématicienne dans cet étrange univers. English
 ChoquetBruhat, Yvonne.
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (362 p.)
 Summary

 Prologue
 Ancestors
 Good Daddy, Aunt Mary, Mame and Tonton
 My parents
 Childhood and adolescence
 Youth 19401944
 Disaster 19441946
 Life in Montaigne
 A new life, America
 Marseille 19531955
 Transitions 19571964
 First years in Antony 19651968
 After the reform 19681979
 Academician
 1979
 Life continues 19791990
 Retired 19902003
 A II.H.E.S 2003?
 Far away travels
 Our house in Dammartin
 Epilogue.
8. Numeral systems with irrational bases for missioncritical applications [electronic resource] [2018]
 Stakhov, A. P. (Alekseĭ Petrovich)
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (285 p.) : ill., ports.
 Summary

"This volume is the result of the author's manyyears of research in this field. These results were presented in the author's two books, Introduction to the Algorithmic Measurement Theory (Moscow, Soviet Radio, 1977), and Codes of the Golden Proportion (Moscow, Radio and Communications, 1984), which had not been translated into English and are therefore not known to Englishspeaking audience. This volume sets forth new informational and arithmetical fundamentals of computer and measurement systems based on Fibonacci pcodes and codes of the golden pproportions, and also on Bergman's system and "golden" ternary mirrorsymmetrical arithmetic. The book presents some new historical hypotheses concerning the origin of the Egyptian calendar and the Babylonian numeral system with base 60 (dodecahedral hypothesis), as well as about the origin of the Mayan's calendar and their numeral system with base 20 (icosahedral hypothesis). The book is intended for the college and university level. The book will also be of interest to all researchers, who use the golden ratio and Fibonacci numbers in their subject areas, and to all readers who are interested to the history of mathematics."Publisher's website.
 Kakuritsu to ransū. English
 Sugita, Hiroshi, 1958
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (138 p.) : ill.
 Summary

"This is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current computer age. Random number topics have not been treated by any books on probability theory, only some books on computation theory. However, the notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists. Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus."Publisher's website.
 Luo, Albert C. J.
 Singapore : World Scientific Publishing Co. Pte Ltd. ; Beijing : Higher Education Press Limited Co., ©2018.
 Description
 Software/Multimedia — 1 online resource (251 p.) : ill.
 Summary

"A periodically forced mathematical pendulum is one of the typical and popular nonlinear oscillators that possess complex and rich dynamical behaviors. Although the pendulum is one of the simplest nonlinear oscillators, yet, until now, we are still not able to undertake a systematical study of periodic motions to chaos in such a simplest system due to lack of suitable mathematical methods and computational tools. To understand periodic motions and chaos in the periodically forced pendulum, the perturbation method has been adopted. One could use the Taylor series to expend the sinusoidal function to the polynomial nonlinear terms, followed by traditional perturbation methods to obtain the periodic motions of the approximated differential system. This book discusses Hamiltonian chaos and periodic motions to chaos in pendulums. This book first detects and discovers chaos in resonant layers and bifurcation trees of periodic motions to chaos in pendulum in the comprehensive fashion, which is a base to understand the behaviors of nonlinear dynamical systems, as a results of Hamiltonian chaos in the resonant layers and bifurcation trees of periodic motions to chaos. The bifurcation trees of travelable and nontravelable periodic motions to chaos will be presented through the periodically forced pendulum." Provided by publisher.
 Papers. Selections
 Ding, Weiyue.
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (633 p).
 Summary

"This collection covers all papers and partial talks given by Prof Weiyue Ding, who was a member of the Chinese Academy of Sciences. Prof Weiyue Ding devoted his academic career to the research in the field of ordinary differential equations and geometric analysis, e.g. Poincaré–Birkhoff fixed point theorems, blowup analysis for heat flow of harmonic maps." Provided by publisher.
 Bartus̆ek, Miroslav, 1945
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (325 p.)
 Summary

"The limitpoint/limitcircle problem had its beginnings more than 100 years ago with the publication of Hermann Weyl's classic paper in Mathematische Annalen in 1910 on linear differential equations. This concept was extended to secondorder nonlinear equations in the late 1970's and later, to higher order nonlinear equations. This monograph traces the development of what is known as the strong nonlinear limitpoint and limitcircle properties of solutions. In addition to bringing together all such results into one place, some new directions that the study has taken as well as some open problems for future research are indicated."Publisher's website.
 Aliev, R. A. (Rafik Aziz ogly)
 Singapore : World Scientific Publishing Co. Pte Ltd., ©2018.
 Description
 Software/Multimedia — 1 online resource (538 p.)
 Summary

 Decision Environment
 Analysis of the Existing Decision Theories
 Interval Computation
 Probabilistic Arithmetic
 Fuzzy Type1 and Fuzzy Type2 Computations
 Computation with ZNumbers
 Computation with UNumbers
 Fuzzy Geometry Based Computations
 Interval GranularBased Decision Making
 Decision Making in Fuzzy Environment
 The ZRestriction Centered Decision Theory
 Simulation and Applications.
 International Course of Mathematical Analysis in Andalucia (6th : 2014 : Malaga, Spain)
 Singapore : World Scientific Publishing Co. Pte Ltd., c2017.
 Description
 Software/Multimedia — 1 online resource (248 p.) : ill.
 Summary

"This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a reasonably wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. Often the contributions are presented with a remarkable expository nature although there are also some new unpublished results and this makes the discussed topics accessible to a more general audience."Publisher's website.
 Pons, Odile.
 2nd ed.  Singapore : World Scientific Publishing Co. Pte Ltd., c2017.
 Description
 Software/Multimedia — 1 online resource (309 p.) : ill.
 Summary

"The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of many new results are presented in great detail. Original tools are developed for spatial point processes and stochastic integration with respect to local martingales in the plane. This second edition covers properties of random variables and time continuous local martingales with a discontinuous predictable compensator, with exponential inequalities and new inequalities for their maximum variable and their pvariations. A chapter on stochastic calculus presents the exponential submartingales developed for stationary processes and their properties. Another chapter devoted itself to the renewal theory of processes and to semiMarkovian processes, branching processes and shock processes. The Chapman–Kolmogorov equations for strong semiMarkovian processes provide equations for their hitting times in a functional setting which extends the exponential properties of the Markovian processes."Publisher's website.
 Mortell, Michael P.
 Singapore : World Scientific Publishing Co. Pte Ltd., c2017.
 Description
 Software/Multimedia — 1 online resource (420 p.) : ill.
 Summary

"This unique book aims to treat a class of nonlinear waves that are reflected from the boundaries of media of finite extent. It involves both standing (unforced) waves and resonant oscillations due to external periodic forcing. The waves are both hyperbolic and dispersive. To achieve this aim, the book develops the necessary understanding of linear waves and the mathematical techniques of nonlinear waves before dealing with nonlinear waves in bounded media. The examples used come mainly from gas dynamics, water waves and viscoelastic waves."Publisher's website.
17. Prime numbers, friends who give problems [electronic resource] : a trialogue with Papa Paulo [2017]
 Ribenboim, Paulo.
 Singapore : World Scientific Publishing Co. Pte Ltd., c2017.
 Description
 Software/Multimedia — 1 online resource (335 p.) : ill.
 Summary

"Prime Numbers, Friends Who Give Problems is written as a trialogue, with two persons who are interested in prime numbers asking the author, Papa Paulo, intelligent questions. Starting at a very elementary level, the book advances steadily, covering all important topics of the theory of prime numbers, up to the most famous problems. The humorous conversations and the inclusion of a backstory add to the uniqueness of the book. Concepts and results are also explained with great care, making the book accessible to a wide audience."Publisher's website.
 Amoroso, Richard L.
 Singapore : World Scientific Publishing Co. Pte Ltd., c2017.
 Description
 Software/Multimedia — 1 online resource (633 p.) : ill. (some col.)
 Summary

"This breakthrough volume touts having dissolved the remaining barriers to implementing Bulk Universal Quantum Computing (UQC), and as such most likely describes the most advanced QC development platform. Numerous books, hundreds of patents, thousands of papers and a Googolplex of considerations fill the pantheon of QC R&D. Of late QC mathemagicians claim QCs already exist; but by what chimeric definition. Does flipping a few qubits in a logic gate without an algorithm qualify as quantum computing? In physics, theory bears little weight without rigorous experimental confirmation, less if new, radical or a paradigm shift. This volume develops quantum computing based on '3rd regime' physics of Unified Field Mechanics (UFM). What distinguishes this work from a myriad of other avenues to UQC under study? Virtually all R&D paths struggle with technology and decoherence. If highly favored roomsized cryogenically cooled QCs ever become successful, they would be reminiscent of the city blocksized Eniac computer of 1946. The QC prototype proposed herein is room temperature and tabletop. It is dramatically different in that it is not confined to the limitations of quantum mechanics; since it is based on principles of UFM the Uncertainty Principle and Decoherence no longer apply. Thus this QC model could be implemented on any other quantum platform!"Publisher's website.
 Kaschek, Roland H., 1955
 Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
 Description
 Software/Multimedia — 1 online resource
 Online

 dx.doi.org SpringerLink
 Google Books (Full view)
 Hoboken, N.J : Wiley, c2008. [Los Alamitos, CA] : IEEE Computer Society.
 Description
 Software/Multimedia — OnlineRessource (xviii, 362 p) : ill.