Edited by Arij Bouzelmate, Edited by Bouchaib Ferrahi, Edited by Beno?t Rittaud, Edited by Olivier Lafitte

Algebra, Analysis, Modelling and Optimization:
Selected Papers from the First French-Moroccan Mathematics Days, Tetouan, Morocco, 2023

Format: Hardback, 153 pages, height x width: 235x155 mm, 7 Illustrations, color; X, 150 p. 5 illus. in color., 1 Hardback
Series: Trends in Mathematics
Pub. Date: 29-Oct-2024
ISBN-13: 9783031672637

Description

This volume features selected papers presented at the first French-Moroccan Mathematics Days (F2MDays'23) held at the Abdelmalek Essaadi University, Morocco 2023. During these days, a variety of scientific activities involving training, workshops, and international conferences on scientific mediation, applied mathematics, innovation, and didactics of mathematics where held. The event provided an opportunity to build bridges between mathematical communities, reinforce existing international cooperation, and initiate new ones, hence contributing to the outreach of all involved parties.

Table of Contents

Existence and Uniqueness of Solutions for Fractional Order
Cauchy-Lipschitz Differential Equations via the -fixed point Theorem.-
Exponential and strong stabilization for perturbed semilinear systems
governed by optimal control.- Study of some non-coercive quasilinear
parabolic problem in anistropic Sobolev space.- Exploring the Applications of
DC Programming in Support Vector Machine Learning.- Explicit formulas of the
addition law on the elliptic curve over a special nonlocal ring.- On Galois
Extensions of composite algebras.- Periodic solutions in shifts } for
impulsive neutral dynamic equations with infinite delay on time scales.- On
the Positive Radial Solutions of p-Laplacien Problem on an Unbounded Exterior Domain.

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Elisa Affili, Enrico Valdinoci, Luca Rossi, Serena Dipierro

New Lotka-Volterra Model of Competition With Strategic Aggression:
Civil Wars When Strategy Comes Into Play

Format: Paperback / softback, 153 pages, height x width: 240x168 mm, 10 Illustrations, color;
1 Illustrations, black and white; XII, 153 p. 11 illus., 10 illus. in color., 1 Paperback / softback
Series: Frontiers in Mathematics
Pub. Date: 31-Aug-2024
ISBN-13: 9783031672095

Description

This monograph introduces a new mathematical model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. Its main feature is the expansion of the family of Lotka-Volterra systems by introducing a new term that defines aggression. Because the model is flexible, it can be applied to various scenarios in the context of human populations, such as strategy games, competition in the marketplace, and civil wars.

Drawing from a variety of methodologies within dynamical systems, ODEs, and mathematical biology, the authors' approach focuses on the dynamical properties of the system. This is accomplished by detecting and describing all possible equilibria, and analyzing the strategies that may lead to the victory of the aggressive population. Techniques typical of two-dimensional dynamical systems are used, such as asymptotic behaviors regulated by the PoincareBendixson Theorem.

A New Lotka-Volterra Model of Competition With Strategic Aggression will appeal to researchers and students studying population dynamics and dynamical systems, particularly those interested in the cross section between mathematics and ecology.

Table of Contents

Introduction.- Description of the model.- Description of the main results.- Toolbox.- Basins of attraction.- Parameters dependence.- Strategies of the first population.

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Raghunath Arnab

Indirect Methods of Data Collection and Analysis from Surveys

Format: Hardback, 391 pages, height x width: 235x155 mm, 26 Illustrations, black and white; V, 385 p. 20 illus., 1 Hardback
Series: Indian Statistical Institute Series
Pub. Date: 18-Nov-2024
ISBN-13: 9789819760046

Description

This book provides a chronological, comprehensive, and up-to-date review of indirect methods of data collection from the human population such as randomized response, non-randomized response, item count, item sum, nominative, and negative questioning techniques. Such surveys include questionnaires on sensitive issues such as domestic violence, the history of induced abortion, involvement in fraud, plagiarism, affiliation with political parties, opinion of government policies, and religious practices, to name a few. The book also studies methods of drawing inferences from such data. The methods provided in the book can be applied to any complex survey design and a wide class of estimators. This book may serve as a handbook of indirect survey methodologies, as readers may receive a wide spectrum of materials from this book alone. Most of the randomized response (RR) techniques are described with the aid of diagrams so that readers can easily understand the randomization techniques, their applicability, and their complexity in real surveys. Applications of different indirect survey methodologies in various areas are presented.

Table of Contents

Chapter 1 Randomized Response Techniques: Early Developments.
Chapter 2 Polychotomous Randomized Response Model.
Chapter 3 RR Techniques for Quantitative Characteristics.
Chapter 4 Unified Sampling Theory.
Chapter 5 Randomized Response Technique for Complex Survey Designs.

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Rzvan Diaconescu

Institution-independent Model Theory, Second Edition

Format: Hardback, 581 pages, height x width: 235x155 mm, 2 Illustrations, color; X, 560 p., 1 Hardback
Series: Studies in Universal Logic
Pub. Date: 11-Nov-2024
ISBN-13: 9783031688539

Description

A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise general mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge number of specification logics is observable, institution-independent model theory simplifies and sometimes even enables a concise model-theoretic analysis of the system. Besides incorporating important methods and concepts from conventional model theory, the proposed axiomatic top-down methodology allows for a structurally clean understanding of model-theoretic phenomena. Consequently, results from conventional concrete model theory can be understood more easily, and sometimes even new results are obtained. Moreover, all this is also applied to non-classical model theories.

This second edition introduces some novelties in the presentation style which aim to enhance the readability of the material and the proofs. Additional chapters have also been added.

Table of Contents

- Introduction.- Part I Basics.- Categories.- Institutions.- Theories and Models.- Internal Logic.- Part II Advanced Topics.- Model Ultraproducts.- Saturated Models.- Preservation and Axiomatizability.- Interpolation.- Definability.- Part III Extensions.- Institutions with Proofs.- Models with States.- Many-valued Truth Institutions.- Part IV Applications to Computing.- Grothendieck Institutions.- Specification.- Logic Programming.

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Liviu C. Florescu

Selected Topics in Mathematical Analysis:
Real Number System Recurrences Asymptotic Analysis Integration in Finite Terms

Format: Hardback, 217 pages, height x width: 235x155 mm, 1 Illustrations, color; 4 Illustrations, black and white; X, 230 p., 1 Hardback
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Pub. Date: 29-Oct-2024
ISBN-13: 9783031677830

Description

This book presents four topics related to undergraduate courses, typically not covered in standard lectures.

Written in a clear and careful style, these four gpearlsh aim at complementing and deepening the knowledge of students and instructors by presenting a variety of techniques and useful methods. The first chapter provides a detailed discussion of real numbers, the foundation of any mathematical construction. Chapter two of the book is dedicated to the study of sequences defined by recurrence relations. The third chapter explores certain problems in asymptotic analysis, and the final chapter of the book discusses mathematical results related to gIntegration in Finite Termsh. Each chapter of the book is accompanied by its respective bibliography.

The book is intended for readers with a level of maturity typically attained after completing a bachelorfs degree in mathematics.

Table of Contents

- Real Number System.- Recurrences.- Elements of Asymptotic
Analysis.- Integration in Finite Terms.


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Edited by Islam Boussaada, Edited by Chaker Jammazi, Edited by Ka?s Ammari

Control Theory and Inverse Problems:
The 2023 Workshop in Monastir, Tunisia

Format: Hardback, 250 pages, height x width: 235x155 mm, 53 Illustrations, color; 10 Illustrations, black and white; VI, 243 p. 61 illus., 54 illus. in color., 1 Hardback
Series: Trends in Mathematics
Pub. Date: 07-Dec-2024
ISBN-13: 9783031680458

Description

This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control Theory & Inverse Problems held in Monastir, Tunisia in May 2023. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as:

Control of hyperbolic systems The Helffer-Nier Conjecture Rapid stabilization of the discretized Vlasov system Exponential stability of a delayed thermoelastic system

Control Theory and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.

Table of Contents

Generalized oscillatory space in time scales and applications.- Some
insights on the practical control of hyperbolic systems.- Observers for data
assimilation and parameter estimation.- On the path to deciphering the
helffer-nier conjecture.- Geometric inverse problem for the navier-stokes
equations.- An inverse problem for the wave equation in anisotropic
media.- Stability estimates for initial data in general ornstein-uhlenbeck
equations.- A note on the fast stabilization of controlled discretized
vlasov-poisson system.- Mathematical control of the salwater intrusion in
coastal aquifers.- Some insights into partial pole placement method in
observers design for time-delay systems.- On exponential stability of a
delayed thermoelastic system.- Design of quasipolynomial-based controllers
with dynamical parameters application to active vibration damping.-
Optimization of rate of penetration through regression model.


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Edited by Marco Panza, Edited by Daniele C. Struppa, Edited by Jean-Jacques Szczeciniarz

Mathematical and Philosophical Legacy of Alexander Grothendieck

Format: Hardback, 490 pages, height x width: 235x155 mm, 29 Illustrations, color;
134 Illustrations, black and white; X, 490 p. 26 illus., 16 illus. in color., 1 Hardback
Series: Chapman Mathematical Notes
Pub. Date: 14-Dec-2024
ISBN-13: 9783031689338

Description

Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today. Utilizing a multidisciplinary approach, this edited volume explores the profound influence his work and ideas have had not only on mathematics, but also on logic and philosophy. Chapters are written by international scholars, and many were inspired by talks given at the conference gGrothendieck, A Multifarious Gianth at Chapman University (May 24-28, 2022). Some chapters are written from a historical perspective and discuss the development of the main themes that characterized Grothendieck's work. Others are more mathematical in nature, analyzing and extending some of his more relevant and obscure results that are still not well understood. Philosophical implications and applications in logic are the subjects of other chapters. This volume will be of interest not only to mathematicians working in algebraic geometry, category theory, and other areas to which Grothendieck contributed, but also to philosophers, logicians, and historians of science.

Table of Contents

Preface.- Grothendieck's 40 Main Years (1949-1991).- Grothendieck and
Differential Equations.- The Birkho-Grothendieck Theorem.- In nite Products,
Congruent Numbers.- The Enduring Legacy of Grothenedieck's Duality Theorem.-
Conjectures and Counterexamples in Grothendieck's Work in Functional
Analysis.- Tohoku 60 years after.- About Grothendieck
Fibrations.-Grothendieck did not Believe in Universes, He believed in Topos
and Schemes.- Motivating Motives.- My View on and Experience with
Grothendieck's Anabelian Geometry.- Grothendieck's Use of Equality.- Towards
a Geometry for Syntax.- Boolean Valued Models, Sheafifications, and Boolean
Ultrapowers of Tychono Spaces.- Investigating De nability in Propositional
Logic.- Grothendieck and Model Theory.- Context-Dependence and Descent
Theory.- Grothendieck and Teichmuller Modular Spaces.