Format: Hardback, 368 pages, height x width: 235x155 mm, 1 Illustrations, color; 3 Illustrations, black and white; X, 310 p. 4 illus., 1 Hardback
Pub. Date: 17-Sep-2024
ISBN-13: 9783031651434
This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions. It includes plenty of solved exercises and it is appropriate for a wide audience, starting from undergraduate students in mathematics, physics and engineering. Since the presented functions are limited to hypergeometric functions of a real variable, the only prerequisites are the basics of real analysis.
- 1. Eulerian Functions.- 2. Polygamma Functions.- 3. Hypergeometric
Functions.- 4. Gauss Hypergeometric Function.- 5. Elliptic Integrals.-
6. Kummer Hypergeometric Function.- 7. Bessel Functions.- 8. Polylogarithm
Function.- 9. Classical Orthogonal Polynomials.- 10. q-Hypergeometric
Functions.
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Format: Hardback, 260 pages, height x width: 235x155 mm, 12 Illustrations, color; 3 Illustrations, black and white; XVIII, 252 p. 14 illus., 9 illus. in color., 1 Hardback
Series: Applied and Numerical Harmonic Analysis
Pub. Date: 20-Oct-2024
ISBN-13: 9783031663741
This proceedings volume collects selected papers presented at the Harmonic Analysis and Applications Workshop held in Abidjan, Ce d'Ivoire from May 22-26, 2023. Chapters present surveys and recent research results from experts and cover a range of topics at the intersections of classical and abstract harmonic analysis, PDEs, and numerical analysis.
Steins Theorem in the upper-half plane and Bergman spaces with
weights.- Representation theorems in Hardy-Orlicz spaces of the upper
half-plane.- Characterizations of Lp-vector fields divergence distributions.-
Boundedness of some commutators in Dunkl-Fofana spaces.- The Ubiquitous
Appearance of BUPUs.- Estimate of the Lp-Fourier transform norm for some Lie
groups.- Spherical function of type on groupoids.- Convolution in Orlicz
spaces on Hypergroups.- A Variational Approach to the Cauchy Problem for
Nonlinear Elliptic Systems.- Large deviations and Berry-Esseen inequalities
in the stochastic diffusion driven by a Volterra type process.- Entropy
stable Godunov numerical schemes for the Euler equations.- Time convergence
of Bloch-type model with Paulis master equation and wave-matter interaction.
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Format: Hardback, 210 pages, height x width: 235x155 mm, 20 Illustrations, color; 4 Illustrations, black and white; XIV, 206 p. 13 illus., 10 illus. in color., 1 Hardback
Series: Applied and Numerical Harmonic Analysis
Pub. Date: 09-Oct-2024
ISBN-13: 9783031664960
This edited volume reports on the recent activities of the new Center for Approximation and Mathematical Data Analytics (CAMDA) at Texas A&M University. Chapters are based on talks from CAMDAs inaugural conference held in May 2023 and its seminar series, as well as work performed by members of the Center. They showcase the interdisciplinary nature of data science, emphasizing its mathematical and theoretical foundations, especially those rooted in approximation theory.
Preface.- S-Procedure Relaxation: a Case of Exactness Involving
Chebyshev Centers.- Neural networks: deep, shallow, or in between?.-
Qualitative neural network approximation over R and C.- Linearly Embedding
Sparse Vectors from l2 to l1 via Deterministic Dimension-Reducing Maps.-
Ridge Function Machines.- Learning Collective Behaviors from Observation.-
Provably Accelerating Ill-Conditioned Low-Rank Estimation via Scaled Gradient
Descent, Even with Overparameterization.- CLAIRE: Scalable GPU-Accelerated
Algorithms for Diffeomorphic Image Registration in 3D.- A genomic tree based
sparse solver.- A qualitative difference between gradient flows of convex
functions in finite- and infinite-dimensional Hilbert spaces.
Format: Paperback / softback, 238 pages, height x width: 235x155 mm, 33 Illustrations, color; 12 Illustrations, black and white; XI, 238 p. 54 illus., 1 Paperback / softback
Series: Mathematics Study Resources 11
Pub. Date: 10-Oct-2024
ISBN-13: 9783662694824
Inspired by recent developments in dependent type theory and infinity categories, this book presents a history of ideas around the topics of truth, proof, equality and equivalence. Besides selected ideas of Platon, Aristoteles, Leibniz, Kant, Frege and others, the results of Gödel and Tarski on incompleteness, undecidability and truth in deductive systems and their semantic models are covered. The main focus of this textbook is on dependent type theory and its recent variant homotopy type theory. Such theories contain identity types, which give a new understanding of equality, symmetry, equivalence and isomorphism in a conceptual way. The interaction of type theory and infinity category theory yields a new paradigm for a structural view on mathematics. This supports the tendencies towards formalising mathematics with the help of proof assistants.
This book was first published in German. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content.
Fundamental Questions.- Scientific Languages.- Mathematical Thinking.-
Mathematics in our Culture.- Computability and Decidability.- Deductive
Systems and Incompleteness.- Category Theory.- Type Theory.- Semantics and
Reality.
Format: Hardback, 354 pages, height x width: 235x155 mm, 112 Illustrations, black and white; Approx. 250 p., 1 Hardback
Series: Springer Series in Reliability Engineering
Pub. Date: 11-Oct-2024
ISBN-13: 9783031645969
This book explores the convergence of stochastic modeling, reliability tools, and the quest for solutions in an era of globalized challenges. The tools have become only more important in the unforeseen emergencies such as the COVID-19 pandemic and the conflict in Ukraine.
This comprehensive book is an invaluable resource for graduate students seeking practical knowledge on probability and statistics in real-world applications. The book is divided into four parts: reliability, computer science, management science, and operations research. Each part includes surveys, recent results, and tools used. Moreover, it offers an essential reference point for researchers, engineers, and managers operating in laboratories, industries, businesses, and government agencies. Through the exchange of academic achievements, ideas, and discussions, this book serves as a catalyst for progress and innovation.
1. A Game of the Newsvendor Problem between a Retailer and Customers
under the Space-time Hotelling Model.-
2. An Optimal Policy for Lockdown
Periods in a Pandemic Based on the Stochastic SIR Model with Time Delay.-
3.
The Valuation of a Risk Project with Continuity and Withdrawal Decisions for
Catastrophic Events Forecasted.-
4. An Analytical Model of the Value of
Mergers and Acquisitions Employing Profit Flows with Synergies.-
5.
Implementation and Management of Surgical Schedule and Work Schedule Creation
System.-
6. Workers Assignment Optimization in Restricted-Cycle Model with
Multiple Periods.-
7. Social Simulations using Multi-agent Systems.-
8. A
Nonhomogeneous Poisson Process Approach to the Optimal Selection From a
Sequence of Relatively Best Objects.-
9. Analysis of Functional Equations in
M/G/1 Queueing-System.-
10. STAR: An Innovative Data-Driven Solution for
Software Quality Assurance.-
11. Reliability Modeling for Quality-Oriented
Software Management.
12. Reliability Analysis of Communication Systems with
Code Error Correction Methods.
13. A Location Problem in Sensor Systems
Considering System Reliability.-
14. A Study on Generalized Ordering Policy.-
15. Checkpointing Methods and Their Eectiveness in Keyboard Data Entry
Operations with Large Access Overhead.
16. Modied and Extended Inspection
Models.-
17. On A Calculation Method And Stochastic Bounds Of The Birnbaum
Importance Measure Of A Component.-
18. Reliability Structures of General
Redundant Systems.
Format: Hardback, 207 pages, height x width: 235x155 mm, 30 Illustrations, black and white; X, 190 p. 29 illus., 1 Hardback
Pub. Date: 04-Nov-2024
ISBN-13: 9783031654176
This book offers a comprehensive overview of statistical methodology for modelling and evaluating spatial variables useful in a variety of applications. These spatial variables fall into three categories: continuous, like terrain elevation; events, like tree locations; and mosaics, like medical images.
Definitions and discussions of random field models are included for each of these three previously mentioned spatial variable types. Moreover, the readers will have access to algorithms suitable for applying this methodology in practical problem solving, and the computational efficiency of these algorithms are discussed.
The presentation is made in a consistent predictive Bayesian framework, which allows separate modelling of the observation acquisition procedure, as a likelihood model, and of the spatial variable characteristics, as a prior spatial model. The likelihood and prior models uniquely define the posterior spatial model, which provides the basis for spatial simulations, spatial predictions with associated precisions, and model parameter inference. The emphasis is on Bayesian spatial modelling with conjugate pairs of likelihood and prior models that are analytically tractable and hence suitable for data abundant spatial studies. Alternative methods frequently used in spatial statistics are presented using a unified notation.
The book is suitable as a textbook for a Spatial Statistics course at the MSc or PhD level, as it also includes algorithm descriptions, project texts, and exercises.
Introduction.- Bayesian Spatial Modelling.- Conjugate Inversion
Models.- Random Fields.- Part I Traditional Conjugate Spatial Models.-
Likelihood Models.- Prior Models.- Posterior Models.- Model Parameter
Inference.- Computational Challenges.
Format: Hardback, 192 pages, height x width: 235x155 mm, 15 Illustrations, color; X, 170 p., 1 Hardback
Pub. Date: 10-Oct-2024
ISBN-13: 9789819725915
This book focuses exclusively on the domain of parametric inference and that, too, from a readers perspective, i.e., covering only point estimation of parameter(s). It covers those topics in parametric inference which need clarity of exposure to students, researchers, and teachers alike; mere statements of theorems and proofs may not always reveal the inner beauty and significance of some aspects of inference. To ensure clarity, the book discusses the following topics at an advanced level(1) sequential (unbiased) point estimation of p and its functions; generalization to trinomial and tetranomial populations; (2) some aspects of the use of additional resources in finite population inference; (3) the concept of sufficiency vis-āEvis the notion of sufficient experiments and comparison of experiments; (4) estimation of the size of a finite population with special features; and (5) unbiased estimation of reliability in exponential samples and other settings. This book provides a platform for thought-provoking, creative, and challenging discussions on a variety of topics in statistical estimation theory, it is also ideal for research methodology course for statistics research scholars, and for clarification of basic ideas in topics discussed at basic/advanced levels.
Glimpses of the Book.- Sequential Binomial Estimation.- Use of Additional Resources in Finite Population Inference.- Notion of sufficiency in statistical inference - Theory and Applications.- Estimation of the Unknown Size of a Finite Population with Special Features.- Unbiased Estimation of Reliability in Exponential Samples.
Format: Hardback, 236 pages, height x width: 235x155 mm, 43 Illustrations, color; 8 Illustrations, black and white; X, 230 p. 45 illus., 43 illus. in color., 1 Hardback
Series: Trends in Mathematics
Pub. Date: 19-Oct-2024
ISBN-13: 9783031663789
This book collects a selection of the articles presented at the virtual conference Game Theory and Applications, organized in St. Petersburg in the summer of 2022. The articles in this collection cover all the main applications of game theory, interpolating mathematical methods with economics, biology, sociology, mobile systems, and social networks. Scholars in the field will find this to be a valuable contribution.
The Effects of R&D in Adaptation Technologies on International
Environmental Agreements.- Bertrands Analysis of Baccarat.- Controlled
Opinion Formation in Multiagent Systems with Constraints on Control Set.-
Gradient Descent Learning Matching the Pennies Repeated Game.- Difference
Stackelberg Game Theoretic Model of Innovations in Universities as Cournot
Oligopoly.- Agent-Based Model of Tax Control under Information Spreading.- A
Multistage Bicriteria Production Game with Pollution Control.-
Non-Cooperative Foundation of Cooperative Actions: The Generalized Nash
Program.- Games of Timing and Random Walks on Interval.- Centrality Analysis
of a City Road Network.- A Note on the Equivalence of Foreign Exchange
Strategic Market Structures.- Unblockable k-Payoffs for Cooperative Games.- A
Cooperative Game of Technology Spillover Under Durable-strategies.- IDP-core
Cooperative Solution in Differential Games with Continuous Updating.-
Investment in Public Goods with Uncertain Depreciation.