Real Analysis
Can the limitations of the Riemann integral be overcome? What is its relationship with modern analysis?The theory of Lebesgue integration is a crucial component in the development of modern analysis. This book is an in-depth real analysis textbook, which introduces the basic theory of modern analysis and the basic skills of analysis. Based on the knowledge of real analysis, the theory of interpolation of operators and the Fourier transform theory are further introduced systematically. The main contents include: abstract measures and integrals, measure and topology, Lebesgue integration on Rn, the interpolation of operators on Lp(Rn), Hardy-Littlewood maximal function, convolution and the Fourier transform. They play an important role in harmonic analysis, partial differential equations, probability and numerical analysis. This book is moderately difficult and detailed, focusing on the combination of abstract and concrete, and training readers to skillfully use modern analysis.This textbook is an excellent reference book for readers studying the fields of Harmonic analysis and partial differential equations. It is intended for advanced undergraduate and graduate students in university mathematics, as well as mathematicians and physicists in general.
Quantum Machine Learning and Optimisation in Finance - Second Edition
Lotka-Volterra-Approach to Cooperation and Competition in Dynamic Systems
No detailed description available for "Lotka-Volterra-Approach to Cooperation and Competition in Dynamic Systems".
Parcella'84
No detailed description available for "Parcella'84".
Theory of Nonlinear Operators
No detailed description available for "Theory of Nonlinear Operators".
Computational Global Macro
Computational Global Macro offers investors a new paradigm for the analysis of geopolitical risk. By drawing on game theory, machine learning, and causal inference, the book provides investors with a novel framework for analyzing the political and economic interactions between global actors. In doing so, it presents a counterpoint to the often informal and speculative approach to geopolitical analysis that is prevalent in the research produced by investment firms. The book will thus serve as a valuable reference for investment professionals, students, and academics seeking to apply sophisticated quantitative tools to the development of their macro views.
An Introduction to Applied Numerical Analysis
The book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering.This book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration.
Ordinary Differential Equations and Applications II
Ordinary Differential Equations and Applications II: With Maple Illustrations integrates fundamental theories of Ordinary Differential Equations (ODEs) with practical applications and Maple-based solutions. This comprehensive textbook covers vector-valued differential equations, matrix solutions, stability methods, and periodic systems. Using Maple and MapleSim software, readers learn symbolic solutions, plotting techniques, 2D/3D animation for ODE problems, and simulations for engineering systems.This book is ideal for undergraduate and postgraduate students in mathematics, physics, economics, and engineering, as well as researchers and professionals needing advanced applications of ODEs. Key Features: - Comprehensive introduction to ODE concepts and real-life applications- Solutions for initial value problems using Maple and MapleSim software- Analysis of stability using Routh-Hurwitz and Lyapunov methods- Models of neural firing, avian influenza, and biological populations- Practical guidance on MapleSim for multi-domain simulations, code generation, and Monte Carlo simulation
Learning and Intelligent Optimization
This book constitutes the refereed proceedings of the 18th International Conference on Learning and Intelligent Optimization, LION 18, held in Ischia Island, Italy, in June 2024. The 31 full papers and 4 short papers presented in these proceedings were carefully reviewed and selected from 58 submissions. These papers focus on the current research, challenges and applications in the fields of Artificial Intelligent, Machine Learning and Operations Research.
Arbitrage and Rational Decisions
This unique book offers a new approach to the modeling of rational decision making under conditions of uncertainty and strategic and competition interactions among agents.
Predicting the cost of cab rides using machine learning
Taxis are an integral part of modern society. And predicting the cost of journeys is of great importance to passengers, taxi drivers and taxi companies. It allows passengers to plan their expenses and avoid unexpectedly high prices. For taxi drivers, it helps them optimise their work, choose more profitable routes and increase their earnings. It helps taxi companies to manage prices, attract more customers and increase their profits. In addition, predicting the cost of taxi rides can be useful for city authorities when planning transport infrastructure and developing urban public transport programmes. Applying machine learning to taxi fare forecasting can take into account many factors such as distance, time of day, weather conditions, demand level and many others to create more accurate and reliable forecasts. Thus, predicting the cost of taxi journeys using machine learning methods is an urgent task that can benefit both individual users and society as a whole.
Qplex: A Computational Modeling and Analysis Methodology for Stochastic Systems
Linear Algebra
This is an introductory text on linear algebra and its contemporary applications to data science, artificial intelligence, and more.
Applied Satisfiability
Apply satisfiability to a range of difficult problems The Boolean Satisfiability Problem (SAT) is one of the most famous and widely-studied problems in Boolean logic. Optimization versions of this problem include the Maximum Satisfiability Problem (MaxSAT) and its extensions, such as partial MaxSAT and weighted MaxSAT, which concern not merely whether but to what extent a solution satisfies a given set of problems. Numerous applications of SAT and MaxSAT have emerged in fields related to logic and computing technology. Applied Satisfiability: Cryptography, Scheduling and Coalitional Games outlines some of these applications in three specific fields. It offers a huge range of SAT applications and their possible impacts, allowing readers to tackle previously challenging optimization problems with a new selection of tools. Professionals and researchers in this field will find the scope of their computational solutions to otherwise intractable problems vastly increased. Applied Satisfiability readers will also find: Coding and problem-solving skills applicable to a variety of fields Chapters covering topics including cryptographic key recovery, various forms of scheduling, coalition structure generation, and many more Specific experiments and case studies that demonstrate the effectiveness of satisfiability-aided methods Applied Satisfiability is ideal for researchers, graduate students, and practitioners in these fields looking to bring a new skillset to bear in their studies and careers.
Functional Analysis for the Applied Mathematician
This self-contained volume provides a rigorous introduction to functional analysis and its applications. It is accessible to graduate and advanced undergraduate students with a solid background in undergraduate mathematics and an appreciation of mathematical rigor.
Measuring and Modeling by Examples
This book starts with an anthology of mathematical functions that can be useful to describe phenomena that occur in the world we see, and how their features can be adjusted by changing their parameters. Then we have a look at the art of measuring and quantifying the world, and how to do this most efficiently and precisely.The most important part is about finding the "pattern" in the measurements: a mathematical function that "fits" with the data. This can be chosen according to several criteria, and using different algorithms, for example the new "multidirectional least squares regression". The last part shows many real life examples in various fields of science: experiments and their analyses.
Complex Analysis
The book comprises six chapters, each meticulously structured to build a comprehensive understanding of complex analysis. Chapter 1 covers the most fundamental concepts, providing the essential groundwork that permeates the entire text. Chapter 2 delves into normal families, the Riemann mapping theorem, and conformal mapping. Chapter 3 focuses on the zeros of analytic functions, while Chapter 4 explores the essential properties of harmonic and subharmonic functions. Chapter 5 introduces H^p spaces and the Fourier transform, highlighting their interconnections. The final chapter discusses uniform approximation by rational functions.Emphasizing foundational theories, modern methods, and key ideas in complex analysis, this book also presents some cutting-edge research problems and recent advancements. The topics are thoughtfully selected, and the exposition is clear and rigorous. This book is an excellent resource for graduate students and independent learners alike. It features many new and concise proofs of classical theorems, and offers numerous challenging exercises to deepen understanding.
Na簿ve Set Theory
This book aims to provide a complete and unitary presentation of naive set theory as the foundation of the whole mathematics. Suitable for undergraduate students, this book focuses on the main foundational issues.
Power and Sample Size in R
This book guides the reader through power and sample size calculations for a variety of study outcomes and designs and illustrates their implementation in R. It is designed to be used as a learning tool for students as well as a resource for experienced statisticians and investigators.
Mathematical Analysis
This book provides an overview of the most up-to-date developments in the field, presenting original contributions and surveys from a spectrum of respected academics in Mathematical Analysis. Each chapter highlights new research directions, making this book suitable for graduate students, faculty, and researchers.
Summary Statistics
Statistics is used to conduct research, evaluate outcomes, develop critical thinking and make informed decisions about a set of data. The main purpose of statistics seeks to provide an analysis of quantitative data. The principles of statistics also provide guidelines for conducting surveys. Statisticians know how to gather information while avoiding bias and using a random sample. There are a variety of benefits of studying statistics. It improves ability to identify and communicate patterns and outcomes. Learning statistics also incorporates the use of probability. Businesses and individuals can use statistics to calculate the probability of their desired outcome and evaluate whether the probable benefits outweigh the cost. This cost-benefit analysis can improve decision-making and reduce losses. Statistical inference is a calculation that uses data analysis to infer the root causes, effects and properties of a correlation or statistical trend. Statistical models can offer more accurate projections of sales, results and returns. Statistics focuses on a cause-and-effect relationship between variables.
Complex Analysis and Special Functions
The first two parts of this book focus on developing standard analysis concepts in the extended complex plane. We cover differentiation and integration of functions of one complex variable. Famous Cauchy formulas are established and applied in the frame of residue theory. Taylor series is used to investigate analytic functions, and they are connected to harmonic functions. Laurent series theory is developed. The third part of the book finds applications of the earlier chapter in conformal mappings and the Laplace transform. Special functions solving ordinary differential equations are studied extensively, along with their asymptotic behavior. A highlight of the book is the elliptic function of Weierstrass and Jacobi. Finally, we present Laplace's method, which is applied to find large arguments asymptotic of some special functions. The book is filled with examples, exercises, and problems of varying degrees of difficulty. This makes it useful to all students in mathematics, physics, and related fields.
Mathematical Optimization Theory and Operations Research: Recent Trends
This book constitutes the revised selected papers from the 23rd International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2024, held in Omsk, Russia from June 30 to July 06, 2024. The 26 full papers included in this book were carefully reviewed and selected from 79 submissions. These papers have been organized in the following topical sections: Mathematical programming; Combinatorial optimization; Operations research; and Machine learning and optimization.
Exploring Stochastic Approaches to Epidemic Modeling
Stochastic calculus has become an essential mathematical tool for modeling complex biological systems characterized by randomness and uncertainty. Unlike deterministic models, which may overlook the variability inherent in biological processes, stochastic calculus allows for explicitly incorporating noise and random fluctuations into the governing equations. This approach has proven particularly effective in fields such as population dynamics, gene regulation, neural activity, and the transmission of infectious diseases, where systems are influenced by random factors at both micro and macro scales. Researchers can use stochastic differential equations (SDEs) and It繫 calculus to model biological systems' temporal evolution, accounting for deterministic components and stochastic disturbances. Applying stochastic calculus in biological modeling improves the precision of predictions and deepens our understanding of the mechanisms driving biological variability. As the discipline progresses, stochastic calculus is expected to play a growing role in enhancing our comprehension of complex biological phenomena and optimizing interventions in medicine, ecology, and biotechnology.
Quantitative Data Analysis
This handbook is designed to provide students and others with an introduction to the fundamental concepts of quantitative data analysis. Aimed primarily at students who will be carrying out field surveys and collecting data, it is also an introductory guide to sampling methods, without requiring advanced prior knowledge of statistics or mathematics. The manual is designed to be accessible and educational, with practical illustrations to help students understand and assimilate the concepts.
Manual of analysis methods and techniques
This book is the synthesis of years of teaching analytical methods and techniques, aimed at second-year Master's students in animal production and nutrition in the Department of Agronomic Sciences and Biotechnology. It aims to support the learning of various biological, biochemical and enzyme-linked immunosorbent analysis techniques and methods. The aim is to introduce students to laboratory work, particularly in the context of their final dissertation.The manuscript is divided into four main chapters, arranged chronologically by analytical method, as follows: 1- Spectral methods. 2- Fractionation methods. 3- Labeling methods.4- Electron microscopy.Like any work, it may contain errors and gaps. So it's always encouraging and motivating to receive corrections, advice and recommendations from fellow teachers and researchers working in the field.
The Dynamics of Front Propagation in Nonlocal Reaction-Diffusion Equations
Lectures on Advanced Topics in Categorical Data Analysis
This book continues the mission of the previous text by the author, Lectures on Categorical Data Analysis, by expanding on the introductory concepts from that volume and providing a mathematically rigorous presentation of advanced topics and current research in statistical techniques which can be applied in the social, political, behavioral, and life sciences. It presents an intuitive and unified discussion of an array of themes in categorical data analysis, and the emphasis on structure over stochastics renders many of the methods applicable in machine learning environments and for the analysis of big data. The book focuses on graphical models, their application in causal analysis, the analytical properties of parameterizations of multivariate discrete distributions, marginal models, and coordinate-free relational models. To guide the readers in future research, the volume provides references to original papers and also offers detailed proofs of most of the significant results. Like the previous volume, it features exercises and research questions, making it appropriate for graduate students, as well as for active researchers.
Multiaxial Notch Fracture and Fatigue
This book presents unified fatigue life prediction equations for a low/medium/high cycle fatigue of metallic materials, relevant to plain materials and notched components.
Engineering Data Analysis with MATLAB(R)
This uses MATLAB(R) for data analysis and statistics, offering a broad review of computational data analysis, in particular algebra, trigonometry, regression modeling, correlation, and graphical representation of results, covering both basic and more complex material, with a large number of worked examples and practice exercises.
Computational Methods for Transition States and Pathways in Rare Events
Based on the calculation of transition states and the identification of transition paths, the book aims to provide a comprehensive guide to understanding and simulating rare events.
Database Systems for Advanced Applications
The seven-volume set LNCS 14850-14856 constitutes the proceedings of the 29th International Conference on Database Systems for Advanced Applications, DASFAA 2024, held in Gifu, Japan, in July 2024. The total of 147 full papers, along with 85 short papers, presented together in this seven-volume set was carefully reviewed and selected from 722 submissions. Additionally, 14 industrial papers, 18 demo papers and 6 tutorials are included. The conference presents papers on subjects such as: Part I: Spatial and temporal data; database core technology; federated learning. Part II: Machine learning; text processing. Part III: Recommendation; multi-media. Part IV: Privacy and security; knowledge base and graphs. Part V: Natural language processing; large language model; time series and stream data. Part VI: Graph and network; hardware acceleration. Part VII: Emerging application; industry papers; demo papers.
Useful Game Theory
Useful Game Theory offers a refreshing perspective on modern wisdom, empowering readers to master strategic decision-making with the tools they already possess. Every decision you make involves an element of game theory, often without you even realizing it. In this insightful book, economist Jay Prag and marketing strategist Amanda Ishak Prag delve into the essence of human nature, transforming the mathematical principles of game theory into practical, everyday strategies. Through familiar proverbs and timeless wisdom, readers will explore how elements like reputation, biases, cooperation, and family dynamics influence our strategic interactions. From navigating a four-way stop and choosing take-out dinners to understanding the complexities of nuclear disarmament, Useful Game Theory demonstrates how recognizing the structure of games--players, choices, and outcomes--can enhance decision-making in all aspects of life.
Mathematics for Engineers (V2)
This second volume in our series is intended primarily as a companion text for the second semester mathematics preliminaries for students and lecturers of electrical engineering and other engineering disciplines.In a clear and concise manner, and without too much abstraction, it introduces students to the topics covered in the basic mathematics lectures. Volume 2 also provides students at universities and applied universities with a largely accurate, but always illustrative, presentation as a practical aid to entry into higher mathematics.Mathematical concepts are clearly motivated, systematically equated and visualized in many animations. Mathematical proofs are almost completely avoided. Instead, many applications not only support the application of mathematics, but also contribute to a better understanding of mathematics.
Mathematics for Engineers (V2)
This second volume in our series is intended primarily as a companion text for the second semester mathematics preliminaries for students and lecturers of electrical engineering and other engineering disciplines.In a clear and concise manner, and without too much abstraction, it introduces students to the topics covered in the basic mathematics lectures. Volume 2 also provides students at universities and applied universities with a largely accurate, but always illustrative, presentation as a practical aid to entry into higher mathematics.Mathematical concepts are clearly motivated, systematically equated and visualized in many animations. Mathematical proofs are almost completely avoided. Instead, many applications not only support the application of mathematics, but also contribute to a better understanding of mathematics.
Women in Mathart
This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians researching and curating creative pedagogies at the intersection of mathematics and the arts. This volume contains contributions to mathart projects from student-mentor teams and researchers in all stages of their careers. The volume also contains survey articles on new mathart intersections such as neuroaesthetics, generative design, generative adversarial networks, and Langlands Program. New results of particular interest are: diamond Langlands; generative design in the geometrization of the local Langlands Program; investigations of the grammatology and visual epistemology of perfectoid diamonds in mathematics as grammatological metaphor; infinity-category constructions of pro-Generative Adversarial Networks; infinity-stackification of mathematical exigency; condensing temporal logic with entropic categorizations; perfectoid diamond holography; neuroaesthetics in immunology. Also included is the result to foster a more inclusive work community of mathematicians using the arts as a tool to bring more vulnerability and integrity to each individual's research life. Readers are herein provided a rigorous overview of current mathart developments and future mathart projects.
An Introduction to Na簿ve Set Theory and Its Applications
Primarily designed for graduate students of mathematics, this textbook delves into Na簿ve set theory, offering valuable insights for senior undergraduate students and researchers specializing in set theory. Commencing with a comprehensive exploration of functions and relations, the book extends its coverage to various applications of Na簿ve set theory across multiple mathematical branches, including real analysis, linear and abstract algebra, general topology, and introductory aspects of complex analysis and measure theory. The text meticulously introduces cardinal and ordinal numbers, along with transfinite induction, following the natural progression discovered by Cantor during his examination of trigonometric series. While this book provides a solid foundation, students intrigued by set theory for its intrinsic value should recognize that the subject extends far beyond the scope of this text.
Designing Experiments and Analyzing Data
The pedagogical approach used throughout the book enables readers to gain an overview of experimental design, from conceptualization of the research question to analysis of the data. Ideal for students and researchers.
Measure and Integral
This accessible introduction to the topic covers the theory of measure and integral, as introduced by Lebesgue and developed in the first half of the 20th century. It leads naturally to Banach spaces of functions and linear operators acting on them.
Analysis of Toeplitz Operators
No detailed description available for "Analysis of Toeplitz Operators".
Spatial Statistics
Geospatial information modeling and mapping have become important tools for the investigation and management of natural resources at the landscape scale. This book reviews the types and applications of geospatial information data, such as remote sensing, GIS, and GPS, as well as their integration into landscape-scale geospatial statistical model
Analysis of Internal Control Procedures
Internal Control plays a vital role in all types of organization, helping to improve the efficiency and economy of certain decision-making processes, minimize and anticipate risks, ensure the reliability of economic and financial data, and guarantee compliance and the application of procedures. In the wake of financial scandals in major multinational corporations, numerous measures have been taken in advanced countries, requiring these companies to set up an Internal Control system and regularly assess its effectiveness against the Internal Control model recognized and recommended by the relevant standards.The case study focused on the analysis of the Internal Control system of the Soci矇t矇 Malienne de gestion de l'Eau Potable "SOMAGEP-SA", where an attempt was made to analyze the effectiveness of the Internal Control system in place, and to highlight the main risks, by proceeding in stages, starting with the study of existing documentation, to participate in Internal Control missions to practice the control activity.
