The Cognitive Dimension of Social Argumentation Proceedings of the 4th European Conference on Argumentation Volume I
This is Volume I of the proceedings of the 4th European Conference on Argumentation, "The cognitive dimension of social argumentation", held at the University of Roma Tre in September 2022. The European Conference on Argumentation (ECA) is an international initiative aiming to consolidate and advance various strands of research on argumentation and reasoning by gathering scholars from a range of disciplines such as philosophy, communication, linguistics, computer science, cognitive science, discourse analysis, and more. The 2022 Rome edition focused on the sociocognitive factors that affect argumentation, both in terms of dynamics and outcomes. Taken together, the contributions collected in these three volumes of the ECA 2022 proceedings provide a faithful approximation of the breadth and depth of ongoing discussions in argumentation scholarship. They also attest how the markedly interdisciplinary character of this fi eld has been evolving in recent years: whereas philosophy and linguistics were always partners in the study of argument, nowadays they are supported also by computer science and experimental psychology, as well as communication and media studies in a broader sense - all of which are well represented in this volume.
Fundamentals of Multivariable Calculus
This textbook is carefully designed as an early undergraduate introduction to the calculus of several real variables. The balanced coverage is devoted to limits, continuity, partial derivatives, extrema, the nabla operator, multiple integrals, line integrals, surface integrals, and the fundamental theorems of vector calculus.Engaging and accessible with detailed diagrams and copious worked examples, the presentation is well suited to students pursuing applied fields such as engineering. Multiple integration is motivated intuitively through the calculation of mass. The chapter-end problems provide both drill and challenge.Overall, the book should equip students with the knowledge and confidence needed for subsequent courses.An appendix on hints renders the book suitable for self-study. Prerequisites are limited to single-variable calculus, linear algebra, and analytic geometry.
Advanced Fractal Graph Theory and Applications
This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various domains, including natural phenomena modeling, scheduling, and network optimisation.This book: Illustrates the innovative ways fractals and graph theory can be combined, laying the groundwork for future applications across various industries Introduces the fundamental concepts and principles of both fractals and graph theory in detail, making it accessible to a broad audience, including those new to these topics Explores practical applications in image processing, network optimisation, social network analysis, and more, demonstrating the real-world impact of these mathematical tools Analyses advanced techniques in graph theory, such as matching, domination, and colouring, with practical examples and case studies Highlights the latest research advancements in fractal graph theory, showcasing its potential for future developments and applications This book is for students, researchers, and professionals in mathematics, computer science, engineering, and related fields.
Mathematics of Business
Businesses are always indispensable entity in any society. Money may be given to loaf without being useful to anyone. The major and the fundamental principles of any form of banking is that every idle money usually yields in most cases no increase. Thus, any individual who possesses certain amount of money than is needed for day to day activities as well as the necessities for living may not just put them away in safe places. Financial Mathematics plays a vital role in Economics and Commerce. Certain Economic terminologies with usual notations are necessary and imperative tools for any form of demonstrations of the applications of the financial Mathematics.
Contributions to the Theory of Partitions and Their Applications
The theory of partitions, which studies the ways in which integers can be expressed as sums of other integers, has profound implications in various fields of mathematics. Significant contributions by mathematicians such as Euler and Hardy have paved the way for a deeper understanding of partition functions and their properties. Recent advancements have explored partitions in combinatorial contexts, offering insights into generating functions and generalized partition functions, including k-color overpartitions, Andrews' singular overpartitions, designated summands, l-regular cubic partition pairs, (l; m)-regular bipartition triples, and partition quadruples with t-cores.
Deep Learning Technology and Image Sensing
In this Special Issue, we explore the transformative power of deep learning-based computing technologies in improving the accuracy and reliability of image recognition systems. From advancing autonomous driving to enhancing object detection, deep learning continues to push the boundaries of what is achievable. Additionally, cutting-edge computer vision technologies enable precise medical imaging segmentation and improve image quality in challenging conditions, such as low-light environments and astronomical observations. Leading experts in the field present their latest research and innovations, offering a comprehensive view of the applications and future potential of deep learning in image and video sensing technologies. Together, we envision a future where artificial intelligence not only enhances our everyday devices but also redefines how we interact with technology and the world around us.
The Making, The Rise, And the Future of The Speaking Man - Fifth Edition
The making, rise, and future of the speaking man encapsulates not just the biological and cognitive evolution of Homo sapiens but also the dynamic relationship between culture, technology, and society. From the early developments of vocal communication to the creation of language-based civilizations and the potential of futuristic technologies, human speech is at the core of how we define ourselves as a species. Looking ahead, the speaking man will continue to evolve, shaped by forces both biological and technological, creating new possibilities for how we communicate and connect with each other-and with the world around us.
Cambridge Mathematics AS and A Level Course
The "Cambridge Mathematics AS and A Level Course: Second Edition" stands as a beacon of academic excellence, meticulously designed to enlighten and challenge minds venturing into the vast realms of advanced mathematics. This comprehensive tome is tailored to meet and surpass the curricular expectations of AS and A Level students, providing a robust foundation in mathematical concepts, theories, and applications that are pivotal in a variety of scientific and engineering disciplines.For exam 2024 2025Syllabus code 9709Paper: 1,2,3,4,5, and 6.Exam preparation reference bookFull syllabus coverageAt the heart of this edition lies a clear, structured journey through the intricate landscapes of Pure Mathematics, Mechanics, and Probability & Statistics. It begins with the AS Level Course, inviting learners into the world of Pure Mathematics with an exploration of quadratics, functions, coordinate geometry, and more. Each topic is carefully unpacked, offering students a deep understanding of fundamental principles that underpin more complex mathematical theories.As learners progress, the course delves into Pure Mathematics 2, where algebra, logarithmic and exponential functions, along with advanced integration and differentiation, await to challenge and inspire. The beauty of mathematics is further revealed through the precise numerical solution of equations, preparing students for the analytical rigor required at higher levels of study.The A2 Level Course elevates the mathematical journey with Pure Mathematics 3, introducing vectors, differential equations, and complex numbers, among other topics. These advanced concepts are essential for mastering the kind of problem-solving and analytical thinking demanded by top universities and employers worldwide.The Mechanics section propels students into the physics of motion, forces, and energy, bridging the gap between mathematical theory and its practical applications in the real world. This section is a treasure trove for those aspiring to careers in engineering, physics, and related fields, offering a solid grounding in the principles that govern the physical world.Finally, the course rounds off with Probability & Statistics 1 and 2, where data representation, hypothesis tests, and various distributions are explored. This segment is particularly relevant in today's data-driven world, providing the tools necessary for statistical analysis, decision-making, and predictive modeling."Cambridge Mathematics AS and A Level Course: Second Edition" is not merely a textbook; it is a journey of discovery. With each page, students are invited to challenge their understanding, expand their knowledge, and cultivate a deep-seated appreciation for the elegance and power of mathematics. Designed with simplicity in mind, yet rich in content, this book is a pivotal resource for anyone aiming to excel in mathematics at the AS and A Level, laying down a formidable foundation for future academic and career pursuits in STEM and beyond.
Machine Learning for Cybersecurity
"Machine Learning for Cybersecurity: Threat Detection and Mitigation" delves into the transformative role of machine learning in addressing contemporary cybersecurity challenges. This reprint provides an in-depth exploration of how advanced techniques such as deep learning, natural language processing, and explainable AI are revolutionizing intrusion detection, anomaly detection, and threat intelligence. With a focus on practical applications, it covers critical topics such as malware analysis, IoT and cloud security, blockchain security, adversarial attacks, and secure data sharing. Through this reprint, readers will gain insights into cutting-edge approaches for vulnerability assessments, authentication, and privacy preservation while exploring frameworks for implementing security-aware AI systems.This comprehensive resource is essential for researchers, practitioners, and policymakers striving to strengthen digital ecosystems. It offers both theoretical insights and actionable solutions, paving the way for innovative cybersecurity strategies to combat an ever-evolving threat landscape.
Mathematical Data Science with Applications in Business, Industry, and Medicine
Mathematical data science is a field that combines mathematical techniques with data science methods to extract insights and knowledge from data. It involves working with data at all stages of the data lifecycle, from collection and storage to cleansing and processing, the analysis and visualization of data, and the communication of the results and findings. Data scientists use a variety of tools and techniques to analyze data, including mathematical concepts and models, artificial intelligence techniques, machine learning algorithms, statistical analysis, and data visualization. Furthermore, data science can be used to make predictions, identify patterns, and draw conclusions from data, and it is applied in a variety of areas, including business, industry, and medicine. It is a rapidly evolving field, and data scientists are expected to stay up to date with new tools, techniques, and technologies. This Reprint is a collection of articles on a wide range of topics in the field of mathematical data science, with applications in business, industry, and medicine. The proposed methods and concepts are discussed in detail and illustrated with several real-life data examples.
An Orthogonal Projection Algorithm for Solving Quadratic Program
This book deals with the construction of an orthogonal projection algorithm for solutions of quadratic programming problems. The algorithm starts by finding the unconstrained optimum using the classical theory of differentiation and then tests the solution for feasibility in the constrained problem. If the unconstrained optimum is infeasible in the constrained problem, then the algorithm makes a move to search for the optimum solution which in most situations is achievable in only one step. The work-ability of the algorithm is shown by applying it in solving several quadratic programming problems. The solutions obtained by using the Projection Algorithm are compared with those obtained by using OPTIMIZER software. The projection algorithm is found to give the same or better optimal solutions than the OPTIMIZER.
Geometry learning mediated by Cabri-G矇om癡tre software
This study is the result of research that culminated in our master's dissertation, which looked at the various phases of learning in the light of Guy Brousseau's theory of didactic situations. It was developed from a qualitative perspective, prioritizing the context of the relationships and interactions that took place in a learning environment, supported by dynamic geometry software, with the involvement of 37 students from a school in Curitiba. There were six sessions of observation of mathematics classes that dealt with the teaching of quadrilaterals. The analysis showed that the students who already had a command of the computer and did so with skill, had difficulties when dealing with the software. This suggests a "student-machine" paradox, that is, even though they have the skills to deal with the computer, the student is challenged with the minimum skills required to deal with the software. Faced with this situation, new didactic contracts emerge to replace the previous ones. The study shows that the didactic contracts established between student, teacher and knowledge, when broken, open up as an opportunity to take new paths towards full learning.
Production scheduling for parallel machines
This book presents a comparison of hybrid solution methods for integrated multi-machine production sizing and scheduling problems with sequence-dependent setups. The proposed methods are based on the decomposition of the problem into 2 levels: In the first level, the assignment of jobs to machines and their sequencing is performed via genetic algorithms, the solution obtained at this level is used to determine the sizing of batches and inventories in the second level in an exact way using the branch and cut method.The results showed the variant based on the Teaching-learning based optimization (TLBO) algorithm as the best in performance with a good solution quality in a reasonable computation time.
Mathematical Optimizations
Mathematical optimization is a crucial field that focuses on finding the best possible solutions from a range of options. At its essence, optimization involves maximizing or minimizing a specific goal while considering various constraints or limitations. This process is widely applicable across many areas, including business, engineering, healthcare, and logistics. The optimization process starts by defining the problem clearly, identifying the key variables involved, and understanding the constraints that may impact the potential. One of the most common methods used in this field is linear programming, which involves problems where both the goals and constraints are expressed as linear relationships. This approach is particularly useful for tasks like resource allocation, where the objective is to use limited resources in the most efficient way. In contrast, nonlinear programming deals with problems that involve complex relationships between variables, allowing for a wider range of potential solutions.
Graph Theory
This standard textbook on modern graph theory combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject, with concise yet complete proofs, while offering glimpses of more advanced methods in each field via one or two deeper results. This is a major new edition. Among many other improvements, it offers additional tools for applying the regularity lemma, brings the tangle theory of graph minors up to the cutting edge of current research, and addresses new topics such as chi-boundedness in perfect graph theory. The book can be used as a reliable text for an introductory graduate course and is also suitable for self-study. From the reviews: "Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity." Persi Diaconis & Ron Graham, SIAM Review "The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory." Bulletin of the Institute of Combinatorics and its Applications "Succeeds dramatically ... a hell of a good book." MAA Reviews " ... like listening to someone explain mathematics." Bulletin of the AMS
Difference Equations and Applications
Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The book begins with extensive coverage of the calculus of difference equations, including contemporary topics on l_p stability, exponential stability, and parameters that can be used to qualitatively study solutions to non-linear difference equations, including variations of parameters and equations with constant coefficients, before moving on to the Z-Transform and its various functions, scalings, and applications. It covers systems, Lyapunov functions, and stability, a subject rarely covered in competitor titles, before concluding with a comprehensive section on new variations of parameters. Exercises are provided after each section, ranging from an easy to medium level of difficulty. When finished, students are set up to conduct meaningful research in discrete dynamical systems. In summary, this book is a comprehensive resource that delves into the mathematical theory of difference equations while highlighting their practical applications in various dynamic systems. It is highly likely to be of interest to students, researchers, and professionals in fields where discrete modeling and analysis are essential.
Stieltjes Differential Calculus with Applications
The Stieltjes derivative is a modification of the usual derivative through a nondecreasing and left-continuous map. This change in the definition allows us to study several differential problems under the same framework.This monograph is the first published book that offers a comprehensive view of the fundamentals of Stieltjes calculus and its applications, making it approachable to newcomers and experts. It aims to provide an integrated approach to the foundations and recent developments in the area of the Stieltjes derivatives and the qualitative theory of the Stieltjes differential equations. Through 10 pedagogically organized chapters, the authors examine a wide scope of the concept of the Stieltjes derivative and its applications. Each chapter focuses on theory, and proofs, and contains sufficient examples to enrich the reader's understanding.The Stieltjes derivative contains the Hilger delta derivative on time scales. Thus, offering a new unification and extension of continuous and discrete calculus. Further, a study of differential equations in the sense of the Stieltjes derivative allows the study of many classical problems in a unique framework. This theory has the advantage that ordinary differential equations, ordinary difference equations, quantum difference equations, impulsive differential equations, dynamic equations on time scales, and generalized differential equations can be treated as particular instances of the Stieltjes differential equations. Hence, this book serves as a basic reference for researchers to harness this powerful technique further to unlock new insights and embrace the intricacies of natural processes. Researchers and graduate students at various levels interested in learning about the Stieltjes differential calculus and related fields will find this text a valuable resource of both introductory and advanced material.
Abelian Model Category Theory
Offering a unique resource for advanced graduate students and researchers, this book treats the fundamentals of Quillen model structures on abelian and exact categories. Building the subject from the ground up using cotorsion pairs, it develops the special properties enjoyed by the homotopy category of such abelian model structures. A central result is that the homotopy category of any abelian model structure is triangulated and characterized by a suitable universal property - it is the triangulated localization with respect to the class of trivial objects. The book also treats derived functors and monoidal model categories from this perspective, showing how to construct tensor triangulated categories from cotorsion pairs. For researchers and graduate students in algebra, topology, representation theory, and category theory, this book offers clear explanations of difficult model category methods that are increasingly being used in contemporary research.
Combinatorial Knot Theory
A classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or network in the horizontal plane, with the vertices or crossings corresponding to double points of a projection. At this stage we have the shadow of the knot defined by the projection. We can reconstruct the knot by lifting the crossings into two points in space, one above the other. This information is preserved at the vertices by cutting the arc which appears to go under the over crossing arc. We can then act on this diagram of the knot using the famous Reidemeister moves to mimic the motion of the knot in space. The result is classic combinatorial knot theory. In recent years, many different types of knot theories have been considered where the information stored at the crossings determines how the Reidemeister moves are used, if at all.In this book, we look at all these new theories systematically in a way which any third-year undergraduate mathematics student would understand. This book can form the basis of an undergraduate course or as an entry point for a postgraduate studying topology.
Mathematical Legends
This book is not only about the history of mathematics, but also by telling the story of some of the most distinctive personalities in the history of mathematics, it goes on to reveal the various strange treasures, bright flowers and hidden passions of the mathematical kingdom. Some of these mathematicians were thinkers, writers, poets, musicians, painters, politicians, judges, soldiers, clerks, young men of society or even prisoners. The mathematical world constructed by these geniuses is exquisite, and a walk in such a world not only expands our mathematical horizons and imagination, but also raises our humanistic cultivation to a higher level. Written for general audience, this book will be of interest to anyone who's studied mathematics in university or even high school, while also benefiting researchers in mathematics and the humanities. The readers will also enjoy reading the beautiful and simple language of all the articles and interviews.
Cambridge Further Mathematics Course
Cambridge Further Mathematics Course: Advanced Level Qualification - In-Depth Preparation for A Level SuccessThis comprehensive textbook is designed to guide students through the rigors of the Cambridge International Examination (CIE) Further Mathematics syllabus at the A Level. Tailored specifically for the 2024 and 2025 academic years, this resource offers complete coverage of the essential coursework.Key FeaturesAS Level Foundation: Begin with a solid grounding in fundamental concepts covered in Paper 1 (Further Pure Mathematics 1) and Paper 2 (Further Pure Mathematics 2). Key topics include: Advanced work with polynomial equationsRational functions and their graphsTechniques for summing seriesMatrix manipulations and transformationsPolar coordinate systemsVector applicationsProof by mathematical inductionHyperbolic functionsAdvanced differential and integral calculusIntroduction to complex numbersSolving differential equationsA2 Level Expansion: Seamlessly transition into the more advanced concepts covered in Paper 3 (Further Mechanics) and Paper 4 (Further Probability & Statistics). Master crucial areas such as: Projectile motion analysisEquilibrium of rigid bodies under various forcesCircular motion and rotational dynamicsHooke's law and applications in elastic systemsLinear motion under variable forcesMomentum, impulse, and collision modelingContinuous random variables and their distributionsStatistical inference using normal and t-distributionsChi-Square tests for analyzing data relationshipsNon-parametric test methodsProbability generating functionsBenefits for StudentsExam-Focused Approach: Content directly aligns with the Cambridge International Examination format and assessment requirements, ensuring you're fully prepared.Structured Learning: The course progresses logically from foundational AS Level concepts to the more challenging A2 Level material, promoting a smooth learning trajectory.Skill Development: Hone your mathematical problem-solving, critical analysis, and modeling abilities, essential for success in both Further Mathematics and related fields.University Preparation: The additional knowledge and skills gained through this course provide a significant advantage for further studies in mathematics, science, engineering, economics, and other quantitatively demanding disciplines.Why Choose This BookThe Cambridge Further Mathematics Course: Advanced Level Qualification stands out by offering a thorough and carefully structured approach tailored precisely to the CIE syllabus. Its clear explanations, diverse range of examples, and focus on exam-relevant skills make it the ideal companion for students aspiring to excel in their Further Mathematics studies and achieve top marks in the A Level qualification.
Cambridge Further Mathematics
Cambridge Further Mathematics: A2 Level - Your Essential Guide to Advanced ConceptsPrepare to excel in your Cambridge International A Level Further Mathematics examinations (syllabus for 2024 and 2025) with this indispensable coursebook. Designed to deepen and solidify your grasp of complex mathematical principles, this comprehensive resource empowers you to succeed in both the Further Mechanics (Paper 3) and Further Probability & Statistics (Paper 4) components of the A2 Level syllabus.Key Features and Benefits: Master Advanced Mechanics: Delve into the intricacies of projectile motion, analyze the equilibrium of rigid bodies, and explore the fundamentals of circular motion. Develop a robust understanding of Hooke's law and its applications, and gain insights into linear motion under variable forces and the concept of momentum.Excel in Probability and Statistics: Explore continuous random variables and confidently apply normal and t-distributions for statistical inference. Master chi-square tests, non-parametric tests, and the powerful technique of probability generating functions.Targeted Exam Preparation: The book's structure aligns seamlessly with the Cambridge A2 Level Further Mathematics syllabus, providing focused guidance for optimal exam performance.Clear and Concise Explanations: Benefit from simple, easy-to-understand language that breaks down complex mathematical theories, enabling you to grasp the core concepts effortlessly.Develop Your Mathematical Skillset: Enhance your problem-solving techniques, critical thinking abilities, and data interpretation skills - essential tools for success in mathematics and beyond.Why Choose This Book: The Cambridge Further Mathematics: A2 Level coursebook stands out as the ideal study companion because it: Offers a Complete Overview: Provides a thorough exploration of all the vital topics covered in the A2 level Further Mathematics syllabus.Encourages Independent Learning: Clear and accessible explanations promote self-study and a deeper understanding of the material.Supports Diverse Learners: Its accessible style caters to students with varying mathematical backgrounds.Elevate your mathematical prowess and achieve your full potential in the Cambridge International A Level Further Mathematics examinations with this exceptional guide!
Trigonometry and analytic geometry
The book centres on the basic concepts of trigonometry and analytic geometry.It is prepared most especially for the undergraduates, in universities, polytechnics, monotechnic, colleges of education, as well as other higher education.. The book is very much indispensable for those who desires to learn and develop themselves with good foundation in both Mathematic and mathematical sciences.Students and learners in Physical, chemical and earth sciences are very well privileged to have a copy of the book.
Dynamical System and Stochastic Analysis
Almost all real-world systems are inevitably subject to random structures, parameters, and noises, and stochastic systems have been playing increasingly important roles in all areas of science and engineering.The purpose of this Special Issue is to solicit the recent achievements of control theory and applications of stochastic systems so as to further improve and develop the theoretical methods of stochastic system estimation, fault diagnosis, prognostics, and optimization, among others.
Cauchy problems for the generalized system of Maxwell’s equations
The monograph is devoted to the study of non-correct problems for a system of Maxwell-type equations with an elliptic complex in a bounded region. We consider the Cauchy problem for an elliptic system of equations of Maxwell type in "n" dimensional space. And also the construction of the matrix of the left fundamental solution of the system of electrodynamics equations of a special kind is given. The generalized Stratton-Chu formula is obtained here, the solvability conditions are proved and the Carleman formula is constructed using the method of bases with double orthogonality, i.e. an explicit formula is constructed which restores the solution of the system of Maxwell's equations in a bounded region.
Paradoxes Between Truth and Proof
This book is a collection of essays that offer original logical and philosophical investigations into the century-long endeavor to understand paradoxes. It bridges the gap between the two most prominent traditions in the analysis of paradoxes: the truth-theoretic and proof-theoretic approaches. The truth-theoretic tradition stems from Alfred Tarski's solution to the semantic paradoxes, while the proof-theoretic tradition dates back to Dag Prawitz's analysis of set-theoretic paradoxes in terms of structural proof theory. Rather than viewing these traditions as competing perspectives, this volume advocates for the idea that a deeper understanding of paradoxes requires insights from both truth-theoretic and proof-theoretic conceptions of language and meaning. Although the collection does not aim to be exhaustive, it seeks to highlight the vast scope of the subject and its deep connections to various fields of inquiry. The essays are organized into four sections: the first focuses on methodology, the second and third examine paradoxes through the conventional lenses of logical investigation-semantics and syntax-, and the fourth presents a selection of paradoxes that extend beyond the interplay between syntax and semantics, exploring other dimensions of human rationality.
Malliavin Calculus in Finance
Malliavin Calculus in Finance: Theory and Practice, Second Edition introduces the study of stochastic volatility (SV) models via Malliavin Calculus. Originally motivated by the study of the existence of smooth densities of certain random variables, Malliavin calculus has had a profound impact on stochastic analysis. In particular, it has been found to be an effective tool in quantitative finance, as in the computation of hedging strategies or the efficient estimation of the Greeks.This book aims to bridge the gap between theory and practice and demonstrate the practical value of Malliavin calculus. It offers readers the chance to discover an easy-to-apply tool that allows us to recover, unify, and generalize several previous results in the literature on stochastic volatility modeling related to the vanilla, the forward, and the VIX implied volatility surfaces. It can be applied to local, stochastic, and also to rough volatilities (driven by a fractional Brownian motion) leading to simple and explicit results.Features Intermediate-advanced level text on quantitative finance, oriented to practitioners with a basic background in stochastic analysis, which could also be useful for researchers and students in quantitative finance Includes examples on concrete models such as the Heston, the SABR and rough volatilities, as well as several numerical experiments and the corresponding Python scripts Covers applications on vanillas, forward start options, and options on the VIX. The book also has a Github repository with the Python library corresponding to the numerical examples in the text. The library has been implemented so that the users can re-use the numerical code for building their examples. The repository can be accessed here: https: //bit.ly/2KNex2Y. New to the Second Edition Includes a new chapter to study implied volatility within the Bachelier framework. Chapters 7 and 8 have been thoroughly updated to introduce a more detailed discussion on the relationship between implied and local volatilities, according to the new results in the literature.
Four Open Questions for the N-Body Problem
The N-body problem has been investigated since Isaac Newton, however vast tracts of the problem remain open. Showcasing the vibrancy of the problem, this book describes four open questions and explores progress made over the last 20 years. After a comprehensive introduction, each chapter focuses on a different open question, highlighting how the stance taken and tools used vary greatly depending on the question. Progress on question one, 'Are the central configurations finite?', uses tools from algebraic geometry. Two, 'Are there any stable periodic orbits?', is dynamical and requires some understanding of the KAM theorem. The third, 'Is every braid realised?', requires topology and variational methods. The final question, 'Does a scattered beam have a dense image?', is quite new and formulating it precisely takes some effort. An excellent resource for students and researchers of mathematics, astronomy, and physics interested in exploring state-of-the-art techniques and perspectives on this classical problem.
Brief historical overview of the concept of number
This book offers a historical journey through various moments of antiquity, exploring how some civilizations developed strategies to understand and use the notion of number. It covers from the earliest attempts at counting in prehistoric times to the mathematical developments in Greece and Rome. It examines the thinking of ancient cultures such as Mesopotamia, Egypt, Babylon, Greece, Rome, and China. It addresses the evolution of numerical notations and their importance in the development of science and technology. Examples of irrational numbers are presented, such as those of the Pythagorean theorem, the number π and some square roots, showing their relevance in the civilizations mentioned. This book is a valuable resource for high school mathematics teachers, as it provides interesting historical data and the compilation of various authors on the subject, seeking attractive elements for students and strengthening pedagogical practices. It is essential for educators who seek to connect mathematical knowledge with its historical and cultural development, raising the quality of mathematics teaching in their classrooms.
The Story of Euclid
Euclid's name echoes through the halls of geometry, but who was the man behind the theorems that have shaped mathematical understanding for centuries? Journey back to ancient Greece and uncover the story of a scholar whose work has transcended time, influencing everything from architecture to art.In "The Story of Euclid," you'll be transported to a world of groundbreaking ideas and timeless principles. Delve into the life of this enigmatic figure and witness the birth of geometric concepts that continue to shape our world today. Explore the elegance of his proofs, the power of his postulates, and the enduring legacy of a man whose contributions to mathematics are immeasurable.Whether you're a seasoned mathematician or simply curious about the origins of geometry, "The Story of Euclid" will ignite your passion for this fascinating subject. Let this captivating narrative guide you through the foundations of a discipline that has shaped our understanding of the world around us.
Journal of Applied Logics. IfCoLog Journal of Logics and their Applications. Volume 11, number 6, November 2024
The Journal of Applied Logics- IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.
The Story of Euclid
Euclid's name echoes through the halls of geometry, but who was the man behind the theorems that have shaped mathematical understanding for centuries? Journey back to ancient Greece and uncover the story of a scholar whose work has transcended time, influencing everything from architecture to art.In "The Story of Euclid," you'll be transported to a world of groundbreaking ideas and timeless principles. Delve into the life of this enigmatic figure and witness the birth of geometric concepts that continue to shape our world today. Explore the elegance of his proofs, the power of his postulates, and the enduring legacy of a man whose contributions to mathematics are immeasurable.Whether you're a seasoned mathematician or simply curious about the origins of geometry, "The Story of Euclid" will ignite your passion for this fascinating subject. Let this captivating narrative guide you through the foundations of a discipline that has shaped our understanding of the world around us.
Complex Analysis
In this book we introduce the main concepts of complex analysis as The Set of Complex Numbers, Euler's Formula, Polar Form, De Moivers Formula, Roots of Complex Numbers, Complex Functions, Limits of Complex Functions, Continuity of Complex Functions, Analytic Functions, Differentiation Rules, Cauchy- Riemann Equations, Elementary Complex Functions, Trigonometric Complex Functions, Hyperbolic Complex Functions, Logarithmic Complex Functions, Inverse Trigonometric Complex Functions and Inverse Hyperbolic Complex Functions, Mappings, Integration, Definite Integral, Line Integral, Theorems of Integration, Antiderivatives, Cauchy Integral Formulas, Sequences of Complex Numbers, Complex Serie, Complex Power Series, Laurant Series, Residue Theory, Application of Residue Theory.
”Viral hepatitis A
This Practical Guide for Students is a tool designed to help you optimize your academic career. Hepatitis A is a viral liver disease caused by the hepatitis A virus. Although most cases are benign and recovery is usually complete, it can lead to serious complications, especially in certain at-risk populations. Hepatitis A can also lead to high healthcare costs, loss of productivity due to absenteeism, and affect the local and national economy.An educational guide on hepatitis A can serve several purposes:1 Awareness: to inform the public about the causes, modes of transmission and symptoms of hepatitis A.2 Prevention: Provide advice on hygiene and vaccination practices to reduce the risk of infection.3 Education: Explain the issues surrounding hepatitis A, including its health consequences and the importance of screening and treatment.4 Resources: Provide educators with tools and resources to facilitate learning and the dissemination of information.5 Community support: Strengthen support for people affected by hepatitis A.
Numerical Methods
This anthology presents a selection of the fundamental concepts and methods that students of Numerical Methods should master. Although it does not cover all topics, it seeks to illustrate how each method, whether open or closed interval, offers advantages and disadvantages that can lead to the same result. It is important to note that the functions discussed in this text have a higher level of complexity than those studied in high school, so it is necessary to resort to numerical techniques that provide approximate, but as accurate as possible, results in order to make informed decisions.The methods described in the following sections will show various ways to obtain approximate values of the roots of a function, including estimating the percentage error. This will allow students to understand the importance of Numerical Methods in solving complex problems.
Math anxiety and teacher SELF-EFFICACY
This quantitative correlational study explored the relationship between math anxiety and math self-efficacy among practicing elementary teachers in a midwestern county. The independent and moderating effects of the number of math content courses taken, the complexity of math courses taken and the number of years of teaching experience were also evaluated. Data from 148 teachers were collected, of which 130 provided complete information for analysis. The Math Anxiety Scale for Teachers (MAST) and Mathematics Teaching Efficacy Belief Instrument (MTEBI) were used to measure math anxiety and math self-efficacy
The Friction of Life
Naples, May 8, 1959. Renato Caccioppoli, a mathematical genius, prodigious pianist, captivating storyteller, highly cultured and multilingual, believed to be the grandson of the anarchist movement founder Mikhail Bakunin, takes his own life by shooting himself in the back of the head in his residence at Palazzo Cellammare.Adored by students and colleagues, a symbol of freedom and non-conformity for an entire generation, Caccioppoli enchanted not only some of the most celebrated intellectuals of the century - Andr矇 Gide, Pablo Neruda, Eduardo De Filippo, Benedetto Croce, Alberto Moravia, Elsa Morante - but also, and above all, the people of Naples, who have always regarded him with amazed admiration. Persecuted by the fascist regime, afflicted by what the writer and friend Paola Masino would describe as "the friction of life," his death permanently places him in the city's history.This meticulous and well-documented investigation tells us who Caccioppoli truly was and offers us an un-stereotyped and, in some ways, unprecedented portrayal of a legendary Naples.
Application of Partials Differential Equations in Plasma Physics
Authors introduced advanced applications of partial differential equations in plasma physics using analytical methods based on Boltzmann-Maxwell equations. The book creates theoretical tools for predicting and controlling plasma behavior in many outstanding applications. To the best of our knowledge, we introduced a new mathematical model for calculating the thermodynamic forces, kinetic coefficients, and flux variables as two new scientific achievements. Second, with reasonable accuracy, we determined the equilibrium time of electrons and positive ions under an electromagnetic forces. Authors clarify the difference between an equilibrium velocity distribution function and a perturbed one. The book introduces the extended Gibbs equation, which predicts ratios between various contributions to the internal energy change for diamagnetic and paramagnetic plasmas. A standard laboratory argon plasma model is used to apply the results. This book advances our understanding of plasma physics and holds immense potential for practical applications in aerospace engineering, plasma technology, materials science. This book lays the groundwork for future innovations and technological advance.
Cone Fuzzy Systems and Their Application to Modeling Nonlinear Systems
Fuzzy systems can effectively model complex nonlinear systems with uncertainties, fuzzy system can make full use of the experience knowledge of domain experts and make it easy to understand. Theoretically, the modeling precision of fuzzy model is related to the number of fuzzy rules. The more fuzzy rules, the higher the precision of the fuzzy model. However, in practice, when modeling fuzzy models for some nonlinear systems, the improvement of fuzzy model precision is limited by simply increasing the number of fuzzy rules, which, on the contrary, greatly increases the calculation amount of the entire modeling process, leading to redundancy of the fuzzy rules and overfitting of the models, so the balance and compromise between complexity and precision has become a hot issue in the research of fuzzy system identification. Therefore, how to design a simple and effective fuzzy system, improve its approximation performance and reduce its computational complexity become the main starting points of this paper.
Theory of Recursive Functions and Effective Computability
(Reprint of the 1967 edition)
Algebraic Number Theory and Fermat's Last Theorem
Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermat's Last Theorem, Fifth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics--the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers, initially from a relatively concrete point of view. Students will see how Wiles's proof of Fermat's Last Theorem opened many new areas for future work. New to the Fifth Edition Pell's Equation x^2-dy^2=1: all solutions can be obtained from a single `fundamental' solution, which can be found using continued fractions. Galois theory of number field extensions, relating the field structure to that of the group of automorphisms. More material on cyclotomic fields, and some results on cubic fields. Advanced properties of prime ideals, including the valuation of a fractional ideal relative to a prime ideal, localisation at a prime ideal, and discrete valuation rings. Ramification theory, which discusses how a prime ideal factorises when the number field is extended to a larger one. A short proof of the Quadratic Reciprocity Law based on properties of cyclotomic fields. This Valuations and p-adic numbers. Topology of the p-adic integers. Written by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory.
Boundary Elements and Other Mesh Reduction Methods XLVII
Theoretical advances and new foundations are reported which contribute to expanding the range of applications as well as the type of materials modelled in response to current industrial and professional requirements. The contents of the volume reflect the ability of the subject matter to evolve and the establishment of a continuously renewed community of stakeholders.As design, analysis and manufacture become more integrated, the chances are that the users of computational software will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily in the integrated process.The maturity of BEM since 1978 has resulted in a substantial number of industrial applications which demonstrate the accuracy, robustness and easy use of the technique. Their range is still being widened, taking advantage of the potentialities of the Mesh Reduction techniques in general. This volume constitutes an important reference base from which to discuss new ideas and critically compare results before developed solutions and tools are released to end professional users.
Introduction to Potential Theory
This monograph is devoted to harmonic analysis and potential theory. The authors study these essentials carefully and present recent researches based on the papers including by authors in an accessible manner for graduate students and researchers in pure and applied analysis.
Differential Geometry and Its Application, 2nd Edition
This Special Issue provides a platform to showcase the latest achievements in many branches of theoretical and practical mathematical studies. These relate to Riemannian theories, generalized Riemannian spaces and their mappings. The scope of this Special Issue also includes Finsler geometry, Kenmotsu manifolds, Kaehler manifolds, manifolds with non-symmetric linear connections, cosymplectic manifolds, contact manifolds, statistical manifolds, Minkowski spaces, geodesic mappings, almost-geodesic mappings, holomorphically projective mappings, warped products of manifolds, complex space forms, quaternionic space forms, golden manifolds, inequalities, invariants, immersions, etc. Potential authors are encouraged to submit papers that present new ideas in the field of differential geometry, in addition to the above topics. Given the broad scope and widespread interest in this topic, more works should be published in this area.
