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Fractional evolution equations and inclusions : analysis and control

Zhou, Yong

Boston : Elsevier/Academic Press, c2016

Chapter 5: Fractional Stochastic Evolution Inclusions; 5.1 Existence of Mild Solutions; 5.2 Topological Structure of Solution Sets.

Fractional evolution inclusions are an important form of differential inclusions within nonlinear mathematical analysis. They are generalizations of the much more widely developed fractional evolution equations (such as time-fractional diffusion equations) seen through the lens of multivariate analysis. Compared to fractional evolution equations, research on the theory of fractional differential inclusions is however only in its initial stage of development. This is important because differential models with the fractional derivative providing an excellent instrument for the description of memory and hereditary properties, and have recently been proved valuable tools in the modeling of many physical phenomena. The fractional order models of real systems are always more adequate than the classical integer order models, since the description of some systems is more accurate when the fractional derivative is used. The advantages of fractional derivatization become evident in modeling mechanical and electrical properties of real materials, description of rheological properties of rocks and in various other fields. Such models are interesting for engineers and physicists as well as so-called pure mathematicians. Phenomena investigated in hybrid systems with dry friction, processes of controlled heat transfer, obstacle problems and others can be described with the help of various differential inclusions, both linear and nonlinear. Fractional Evolution Equations and Inclusions is devoted to a rapidly developing area of the research for fractional evolution equations & inclusions and their applications to control theory. It studies Cauchy problems for fractional evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by fractional evolution equations. Finally it provides an investigation of fractional stochastic evolution inclusions in Hilbert spaces.

Baker Berry Cook QA377.3 .Z46 2016

Statistics for engineering and the sciences

Mendenhall, William M

Boca Raton : CRC Press, Taylor & Francis Group, [2016]

Baker Berry Cook QA276 .M429 2016

Encyclopedia of analytical surfaces

Krivoshapko, S. N. author

Cham : Springer, [2015]

Baker Berry Cook QA571 .K75 2015

Granular computing and decision-making : interactive and iterative approaches

Witold Pedrycz, Shyi-Ming Chen, editors

Cham : Springer, [2015]

Feldberg QA279.6 .G73 2015

Numerical methods for nonlinear partial differential equations

Bartels, Sören, author

Cham : Springer, [2015]

1. Introduction -- Part I: Analytical and Numerical Foundations -- 2. Analytical Background -- 3. FEM for Linear Problems -- 4. Concepts for Discretized Problems -- Part II: Approximation of Classical Formulations -- 5. The Obstacle Problem -- 6. The Allen-Cahn Equation -- 7. Harmonic Maps -- 8. Bending Problems -- Part III: Methods for Extended Formulations -- 9. Nonconvexity and Microstructure -- 10. Free Discontinuities -- 11. Elastoplasticity -- Auxiliary Routines -- Frequently Used Notation -- Index.

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

Baker Berry Cook QA377 .B37 2015

Crowdsourcing : cloud-based software development

Wei Li, Michael N. Huhns, Wei-Tek Tsai, Wenjun Wu, editors

Heidelberg : Springer Verlag, ©2015

Baker Berry Cook QA76.9.H84 C76 2015

Introduction to calculus and classical analysis

Hijab, O

Cham : Springer, [2016]

Preface -- A Note to the Reader -- 1. The Set of Real Numbers -- 2. Continuity -- 3. Differentiation.-4. Integration -- 5. Applications -- 6. Generalizations -- A. Solutions -- References -- Index.

Baker Berry Cook QA303 .H54 2016

Carl adam petri : life and science

Smith, Einar

Hidelberg ; Springer, 2015

Baker Berry Cook QA29.P48 S65 2015

Marcel Grossmann : aus Liebe zur Mathematik

Graf-Grossmann, Claudia E., 1959- author

Zürich : Römerhof Verlag, [2015]

Baker Berry Cook QA29.G6954 G73 2015

Visualizing financial data

Rodriguez, Julie (Information architect) author

Indianapolis, IN : Wiley, [2016]

Feldberg QA76.9.I52 R43 2016

Electronic dreams : how 1980s Britain learned to love the computer

Lean, Tom, author

London : Bloomsbury Sigma, 2016

Computers invaded British homes for the first time in the early 1980s, with a wave of cheap, futuristic microcomputers that allowed millions of people to discover for themselves the world of computing. In those heady early days of computing, Britannia very much ruled the digital waves. Electronic Dreams looks back at how Britain embraced the home computer, and at the people who drove the boom: entrepreneurs such as Clive Sinclair and Alan Sugar seeking new markets; politicians proclaiming economic miracles; bedroom programmers with an unhealthy fascination with technology; and millions of everyday folk who bought into the electronic dream and let the computer into their lives. It is a history of home computers such as the Commodore VIC20, BBC Micro, and ZX Spectrum; classic computer games like Manic Miner and Elite; the early information networks that first put the home online; and the transformation of the computer into an everyday object in the British home. Based on interviews with key individuals, archive sources, and study of vintage hardware and software, and with a particular focus on the computer's place in social history, Electronic Dreams is a nostalgic look at how a depressed 1980s Britain got over its fear of microchips and embraced the computer as a "passport to the future."

Baker Berry Cook QA76.9.C66 L425 2016

Big data over networks

edited by Shuguang Cui, Alfred O. Hero III, Zhi-Quan Luo, José M. F. Moura

Cambridge : Cambridge University Press, 2016

Part I: Mathematical foundations -- Tensor models: solution methods and applications / Shiqian Ma, Bo Jiang, Xiuzhen Huang, and Shuzhong Zhang -- Sparsity-aware distributed learning / Symeon Chouvardas, Yannis Kopsinis, and Sergios Theodoridis -- Optimization algorithms for big data with application in wireless networks / Mingyi Hong, Wei-Cheng Liao, Ruoyu Sun, and Zhi-Quan Luo -- A unified distributed algorithm for non-cooperative games / Jong-Shi Pang and Meisam Razaviyayn -- Part II: Big data over cyber networks -- Big data analytics systems / Ganesh Ananthanarayanan and Ishai Menache -- Distributed big data storage in optical wireless networks / Chen Gong, Zhengyuan Xu, and Xiaodong Wang -- Big data aware wireless communication: challenges and opportunities / Suzhi Bi, Rui Zhang, Zhi Ding, and Shuguang Cui -- Big data processing for smart grid security / Lanchao Liu, Zhu Han, H. Vincent Poor, and Shuguang Cui -- Part III: Big data over social networks -- Big data: a new perspective on cities / Riccardo Gallotti, Thomas Louail, Remi Louf, and Marc Barthelemy -- High-dimensional network analytics: mapping topic networks in Twitter data during the Arab Spring / Kathleen M. Carley, Wei Wei, and Kenneth Joseph -- Social influence analysis in the big data era: a review / Jianping Cao, Dongliang Duan, Liuqing Yang, Qingpeng Zhang, Senzhang Wang, and Feiyue Wang -- Part IV: Big data over biological networks -- Inference of gene regulatory networks: validation and uncertainty / Xiaoning Qian, Byung-Jun Yoon, and Edward R. Dougherty -- Inference of gene networks associated with the host response to infectious disease / Zhe Gan, Xin Yuan, Ricardo Henao, Ephraim L. Tsalik, and Lawrence Carin -- Gene-set-based inference of biological network topologies from big molecular profiling data / Lipi Acharya and Dongxiao Zhu -- Large-scale correlation mining for biomolecular network discovery / Alfred Hero and Bala Rajaratnam.

Utilizing both key mathematical tools and state-of-the-art research results, this text explores the principles underpinning large-scale information processing over networks and examines the crucial interaction between big data and its associated communication, social and biological networks. Written by experts in the diverse fields of machine learning, optimisation, statistics, signal processing, networking, communications, sociology and biology, this book employs two complementary approaches: first analysing how the underlying network constrains the upper-layer of collaborative big data processing, and second, examining how big data processing may boost performance in various networks. Unifying the broad scope of the book is the rigorous mathematical treatment of the subjects, which is enriched by in-depth discussion of future directions and numerous open-ended problems that conclude each chapter. Readers will be able to master the fundamental principles for dealing with big data over large systems, making it essential reading for graduate students, scientific researchers and industry practitioners alike.

Baker Berry Cook QA76.9.D32 B525 2016

Data abstraction & problem solving with Java : walls and mirrors

Prichard, Janet J

Boston : Addison-Wesley, ©2011

Review of Java fundamentals -- Principles of programming and software engineering -- Recursion: the mirrors -- Data abstraction: the walls -- Linked lists -- Recursion as a problem-solving technique -- Stacks -- Queues -- Advanced Java topics -- Algorithm efficiency and sorting -- Trees -- Tables and priority queues -- Advanced implementations of tables -- Graphs -- External methods

Baker Berry Cook QA76.73.J3 C37 2011

Lectures on functional analysis and the Lebesgue integral

Komornik, V

London : Springer, c2016

Baker Berry Cook QA320 .K64 2016

Recent trends in combinatorics

Andrew Beveridge, Jerrold R. Griggs, Leslie Hogben, Gregg Musiker, Prasad Tetali, editors

[Cham] Switzerland : Springer International Publishing AG, [2016]

Part I. Extremal and probabilistic combinatorics. Problems related to graph indices in trees -- The edit distance in graphs : methods, results and generalizations -- Repetitions in graphs and sequences -- Extremal problems for cycles in graphs -- A survey of Turan problems for expansions -- Recent advances on Dirac-type problems for hypergraphs -- Rainbow Hamilton cycles in random graphs and hypergraphs -- Further applications of the Container Method -- Independent transversals and hypergraph matchings, an elementary approach -- Giant components in random graphs -- Infinite random graphs and properties of metrics -- Nordhaus-Gaddum problems for Colin de Verdière type parameters -- Algebraic aspects of the normalized Laplacian -- Progress on poset-free families of subsets -- The mathematics of causal sets -- Part II. Additive and analytic combinatorics. Lectures on approximate groups and Hilbert's 5th problem -- Character sums and arithmetic combinatorics -- Sum-product formulae -- Ajtai-Szemerédi theorems over quasirandom groups -- Part III. Enumerative and geometric combinatorics. Some algorithmic applications of partition functions in combinatorics -- Partition analysis, modular functions, and computer algebra -- Moments of orthogonal polynomials and combinatorics -- The combinatorics of knot invariants arising from the study of Macdonald polynomials -- A survey of consecutive patterns in permutations -- Dynamical algebraic combinatorics and the homomesy phenomenon -- Face enumeration on simplicial complexes -- Unimodality problems in Ehrhart theory -- Simplicial and cellular trees -- Parametric polyhedra with at least k lattice points : their semigroup structure and the k-Frobenius problem.

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields.--Back cover.

Baker Berry Cook QA164 .R43 2016

Differentiable dynamical systems : an introduction to structural stability and hyperbolicity

Wen, Lan, 1946-

Providence, Rhode Island : American Mathematical Society, [2016]

Baker Berry Cook QA371 .W495 2016

Finite frame theory : a complete introduction to overcompleteness : AMS short course, January 8-9, 2015, San Antonio, TX

Kasso A. Okoudjou, editor

Providence, Rhode Island : American Mathematical Society, [2016]

Baker Berry Cook QA433 .F48 2016

The visual Imperative : creating a visual culture of data discovery

Ryan, Lindy, author

Cambridge, MA : Morgan Kaufmann, [2016]

Baker Berry Cook QA76.9.I52 R93 2016

Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups

Karaliolios, Nikolaos, author

Paris : Société Mathématique de France, 2016

Baker Berry Cook QA387 .K37 2016

Brownian motion, martingales, and stochastic calculus

Le Gall, J. F. author

Switzerland : Springer, [2016]

Gaussian variables and Gaussian processes -- Brownian motion -- Filtrations and martingales -- Continuous semimartingales -- Stochastic integration -- General theory of Markov processes -- Brownian motion and partial differential equations -- Stochastic differential equations -- Local times -- The monotone class lemma -- Discrete martingales -- References.

This book offers a rigorous and self-contained presentation of stochastic integration and stochastic calculus within the general framework of continuous semimartingales. The main tools of stochastic calculus, including Itô?s formula, the optional stopping theorem and Girsanov?s theorem, are treated in detail alongside many illustrative examples. The book also contains an introduction to Markov processes, with applications to solutions of stochastic differential equations and to connections between Brownian motion and partial differential equations. The theory of local times of semimartingales is discussed in the last chapter. Since its invention by Itô, stochastic calculus has proven to be one of the most important techniques of modern probability theory, and has been used in the most recent theoretical advances as well as in applications to other fields such as mathematical finance. Brownian Motion, Martingales, and Stochastic Calculus provides a strong theoretical background to the reader interested in such developments. Beginning graduate or advanced undergraduate students will benefit from this detailed approach to an essential area of probability theory. The emphasis is on concise and efficient presentation, without any concession to mathematical rigor. The material has been taught by the author for several years in graduate courses at two of the most prestigious French universities. The fact that proofs are given with full details makes the book particularly suitable for self-study. The numerous exercises help the reader to get acquainted with the tools of stochastic calculus.

Baker Berry Cook QA274.75 .L44 2016

Quantum calculus : new concepts, impulsive, IVPs and BVPs, inequalities

Ahmad, Bashir (Mathematics professor), author

New Jersey : World Scientific, [2016]

Baker Berry Cook QA303.2 .A46 2016

Fifty years of fuzzy logic and its applications

Dan E. Tamir, Naphtali D. Rishe, Abraham Kandel, editors

Cham : Springer, [2015]

Baker Berry Cook QA9.64 .F54 2015

Fixed point theory and graph theory : foundations and integrative approaches

edited by Monther Rashed Alfuraidan, Qamrul Hasan Ansari

London : Elsevier Academic Press, [2016]

Baker Berry Cook QA329.9 .A44 2016

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