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.
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.
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.
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.
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.
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.
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.
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
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.
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.
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.
Groups St Andrews 2022 in Newcastle
Every four years leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of these meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2022 meeting held in Newcastle. It includes substantial survey articles from the invited speakers, namely the mini course presenters Michel Brion, Fanny Kassel and Pham Huu Tiep; and the invited one-hour speakers Bettina Eick, Scott Harper and Simon Smith. It features these alongside contributed survey articles, including some new results, to provide an outstanding resource for graduate students and researchers.
Math Mammoth Grade 3 Skills Review Workbook Answer Key
Math Mammoth Grade 3 Skills Review Workbook Answer Key contains answers to all the worksheets in Math Mammoth Grade 3 Skills Review Workbook. The workbook itself is available separately. This is the 2024 edition.
Math Mammoth Grade 3 Skills Review Workbook
Some students benefit from spiral review, and that is exactly what Math Mammoth Grade 3 Skills Review Workbook offers! It has been designed to complement the lessons in Math Mammoth Grade 3 complete curriculum, providing spiral review of the concepts in the grade 3 curriculum.Math Mammoth Grade 3 Skills Review Workbook is divided into chapters, which correspond to the chapters in Math Mammoth Grade 3 curriculum. It is meant to be used during the school year, alongside the main curriculum. Spiral reviewing means that after a particular concept or skill has been studied in the main curriculum, it is then reviewed repeatedly over time in several different worksheets of this book.You can choose exactly when to use the worksheets within the chapter, and how many of them to use. Not all students need all of these worksheets to help them keep their math skills fresh, so please vary the amount of worksheets you assign your student(s) according to their need.Each worksheet is designed to be one page, and includes a variety of exercises in a fun way without becoming too long and tedious. Please see the sample file (PDF) to get a good idea of what the worksheets look like.The problems and exercises in this book are completely new and different from any other Math Mammoth series of books.The answer key is available as a separate book.This is the 2024 edition.
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.
K-Theory and Representation Theory
Symmetry is one of the most important concepts in mathematics and physics. Emerging from the 2021 LMS-Bath Summer School, this book provides Ph.D. students and young researchers with some of the essential tools for the advanced study of symmetry. Illustrated with numerous examples, it explores some of the most exciting interactions between Dirac operators, K-theory and representation theory of real reductive groups. The final chapter provides a self-contained account of the representation theory of p-adic groups, from the very basics to an advanced perspective, with many arithmetic aspects.
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.
Solving Problems in Point Geometry
For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving.Central to this method is the identity approach, which streamlines complex problems into concise equations, unlocking multiple propositions with ease. Through meticulously crafted examples, readers are invited to explore the joy of mathematical thinking.Beyond mathematics, point geometry holds promise for artificial intelligence, offering a simple yet rich knowledge representation and reasoning method. With most solutions generated by computer programs, the potential for simplifying reasoning methods is immense, paving the way for a brighter future in both education and AI advancement.In this ambitious endeavor, the authors seek to simplify knowledge representation and reasoning, reduce the burden of learning, and accelerate the progress of artificial intelligence. This book is not just a guide to geometry; it's a catalyst for transformative thinking and discovery.
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.
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.
Solving Problems in Point Geometry
For over two millennia, the complexities of elementary geometry have challenged learners, burdened by the intricacies of auxiliary graphics and cumbersome calculations. Inspired by Leibniz's query, this book introduces a groundbreaking method: point geometry. By operating directly on points, it integrates the strengths of coordinate, vector, and mass point methods, simplifying operations and problem-solving.Central to this method is the identity approach, which streamlines complex problems into concise equations, unlocking multiple propositions with ease. Through meticulously crafted examples, readers are invited to explore the joy of mathematical thinking.Beyond mathematics, point geometry holds promise for artificial intelligence, offering a simple yet rich knowledge representation and reasoning method. With most solutions generated by computer programs, the potential for simplifying reasoning methods is immense, paving the way for a brighter future in both education and AI advancement.In this ambitious endeavor, the authors seek to simplify knowledge representation and reasoning, reduce the burden of learning, and accelerate the progress of artificial intelligence. This book is not just a guide to geometry; it's a catalyst for transformative thinking and discovery.
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.
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.
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.
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.
Vectorization
Enables readers to develop foundational and advanced vectorization skills for scalable data science and machine learning and address real-world problems Offering insights across various domains such as computer vision and natural language processing, Vectorization covers the fundamental topics of vectorization including array and tensor operations, data wrangling, and batch processing. This book illustrates how the principles discussed lead to successful outcomes in machine learning projects, serving as concrete examples for the theories explained, with each chapter including practical case studies and code implementations using NumPy, TensorFlow, and PyTorch. Each chapter has one or two types of contents: either an introduction/comparison of the specific operations in the numerical libraries (illustrated as tables) and/or case study examples that apply the concepts introduced to solve a practical problem (as code blocks and figures). Readers can approach the knowledge presented by reading the text description, running the code blocks, or examining the figures. Written by the developer of the first recommendation system on the Peacock streaming platform, Vectorization explores sample topics including: Basic tensor operations and the art of tensor indexing, elucidating how to access individual or subsets of tensor elements Vectorization in tensor multiplications and common linear algebraic routines, which form the backbone of many machine learning algorithms Masking and padding, concepts which come into play when handling data of non-uniform sizes, and string processing techniques for natural language processing (NLP) Sparse matrices and their data structures and integral operations, and ragged or jagged tensors and the nuances of processing them From the essentials of vectorization to the subtleties of advanced data structures, Vectorization is an ideal one-stop resource for both beginners and experienced practitioners, including researchers, data scientists, statisticians, and other professionals in industry, who seek academic success and career advancement.
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.
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.
Projective Geometry
The elements of geometry are points, lines and planes, together with Space and Nothing. In Euclidian geometry, we observe these as if we are point-centred beings concerned with extensive measurement.In non-Euclidian, or projective geometry, we are 'planar' beings observing spatial relations, free of measurement, as dynamic and transformational. This polar opposite vision of intensive space reveals remarkable secrets. In this fascinating and useful book, expert Lawrence Edwards invites the reader to discover these secrets through practical exercises in creative geometry. Topics include: the elements of geometry, duality, collineation, cross ratio, the circling and step measure, conics and the nature of a curve.
Spatial Statistics
Geospatial information modeling and mapping has become an important tool for the investigation and management of natural resources at the landscape scale. Spatial Statistics: GeoSpatial Information Modeling and Thematic Mapping reviews the types and applications of geospatial information data, such as remote sensing, geographic information systems (GIS), and GPS as well as their integration into landscape-scale geospatial statistical models and maps. The book explores how to extract information from remotely sensed imagery, GIS, and GPS, and how to combine this with field data--vegetation, soil, and environmental--to produce a spatial model that can be reconstructed and displayed using GIS software. Readers learn the requirements and limitations of each geospatial modeling and mapping tool. Case studies with real-life examples illustrate important applications of the models.Topics covered in this book include: An overview of the geospatial information sciences and technology and spatial statistics Sampling methods and applications, including probability sampling and nonrandom sampling, and issues to consider in sampling and plot design Fine and coarse scale variability Spatial sampling schemes and spatial pattern Linear and spatial correlation statistics, including Moran's I, Geary's C, cross-correlation statistics, and inverse distance weighting Geospatial statistics analysis using stepwise regression, ordinary least squares (OLS), variogram, kriging, spatial auto-regression, binary classification trees, cokriging, and geospatial models for presence and absence data How to use R statistical software to work on statistical analyses and case studies, and to develop a geospatial statistical model
Analysis of Toeplitz Operators
No detailed description available for "Analysis of Toeplitz Operators".
"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.
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.
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.
