Analysis and Probability on Graphs
Analysis and Probability on graphs is an introduction to random graphs, Markov chains on digraphs, entropy of Markov Chains, and discrete Lyapunov exponents and Hausdorff dimension, requiring only minimal background in probability, mathematical analysis, and graphs. This textbook includes constructive discussions about the motivation of basic concepts, and many worked-out problems in each chapter, making it ideal for classroom use or self-study.
Study on some Transformations of Riemann-Finsler spaces
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. This book presents some transformations in Riemann-Finsler geometry, which have recently undergone significant development but have not had a pedagogical treatment elsewhere. Each article will open the door to an active area of research and is suitable for a special topics course in graduate-level differential geometry.
General Topology
This book is dedicated to metric spaces and their topology. The book starts with ZFC axioms. The real number system is constructed by both the Dedekind cut and the Cauchy sequence approach. The various examples and properties of metric spaces and normed linear spaces are discussed. The different distances between the sets are highlighted. The research work on metric-preserving maps and isometries on different p-norms has been discussed. Homeomorphism and different equivalent metrics have also been discussed. A detailed description of a metric on the product and the quotient set is also provided. The completion of a metric space as a universal property and applications of the Baire Category Theorem are covered. A special focus is on compactness and the relation between a compact metric space, the Hilbert Cube, and the Cantor set. The properties of connected and path-connected metric spaces are provided.
Fixed Point and Best proximity point theorems with Applications
The famous work of S. Banach in 1922, where the celebrated Banach contraction mapping principle was established, is the source point of metric fixed point theory. The idea of the result was also taken up extended and implemented in various contexts of mathematics. The Banach contraction mapping is a continuous mapping. An early fixed point result in discontinuous contraction was proved by Kannan in 1968. Kannan type mappings occupy an extensive area in the fixed point studies. Fixed points and related problems have been studied in metric spaces with a partial ordering allowing us to develop a methodology for fixed point theory in such spaces. Particularly continuity on the function is replaced by the condition of the above mentioned type in a good number of papers. Turinici (1986), Ran and Reurings(2004), Nieto(2005), etc are some examples. Coupled fixed points are introduced by Guo, Lakshmikantham (1987). Coincident point is another direction. The problem of proximity point is distance optimization between two sets. Essentially it is a global optimization problem considered as a problem of finding the optimal approximate solutions of some appropriate fixed point equation.
Best IDEAS
This Special Issue presents selected papers by leading international experts on various database engineered applications. The leading experts include Schahram Dustdar, who served as an invited speaker at several International Database Engineered Applications Symposia, and the authors of the two highest-ranked papers from the 27th International Database Engineered Applications Symposium from Heraklion, Crete, Greece. The authors of this Special Issue present their ideas in twelve full journal articles that were reviewed for both the quality and readability of their contents. Hence, this Special Issue is a valuable resource on topics ranging from federated databases, data analytics and data mining, and data prediction and imputation to various aspects of temporal databases and genome databases.
Finite Element Analysis of Structures Using MATLAB
"Finite Element Analysis of Structures using MATLAB" is an essential guide for students delving into the world of finite element analysis. This comprehensive resource offers clear explanations, relevant examples, and practical MATLAB code to enhance understanding and application. From the historical foundation of Finite Element Analysis to the exploration of thin and thick plates and structural dynamics. This comprehensive resource spans twelve chapters and two appendices. Appendix A provides MATLAB code for problem-solving, while Appendix B guides you through using ABAQUS. Begin with a historical introduction and explore the essentials of finite element analysis. Dive into nodes, elements, interpolation functions, and FEA formalization. Focus on one-dimensional and two-dimensional elements and learn numerical integration with Gaussian quadrature. Discover axisymmetric and three-dimensional elements, and apply FEA to analyze thin and thick plates. Explore structural dynamics and vibrations in the final chapter. Appendix A contains MATLAB code for seventeen numerical examples, and Appendix B offers a step-by-step ABAQUS procedure. 'Finite Element Analysis of Structures using MATLAB' is your ultimate resource for practical understanding. Whether it's coursework or deeper exploration, this book with clear explanations and relevant examples is your invaluable companion."
Graceful Labeling of Few Types of Graphs and Their Applications
Curves and Surfaces with Applications in Cagd
Carefully refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. This volume, with its companion volume, contains a selection of papers presented at the Third International Conference on Curves and Surfaces which was held in June 1996 at Chamonix, France. Each book contains several invited survey lectures prepared by leading experts in the fields of approximation theory, computer- aided geometric design, numerical analysis, and wavelets. In addition, each book includes a number of closely related full-length research papers which have been refereed and meticulously edited. These books should be of great interest to mathematicians, engineers, and computer scientists working in the field of Approximation Theory, Computer-Aided Geometric Design (CAGD), Computer Graphics, Numerical Analysis, CAD/CAM, and application areas.
Augmented and Virtual Reality in Mathematics Education
Augmented and virtual reality (AR/VR) are technologies of increasing importance in our society. In the field of mathematics education, these innovative technologies may offer a wide range of opportunities to support immersive, individual, and active learning processes. At the same time, many new challenges arise that need to be mastered by teachers and students in the classroom. With this book we want to contribute to the discourse by presenting innovative insights by bringing parties from research and practice together. The papers cover a wide range of relevant topics including cooperation and communication, STEM and modelling, development and application of design criteria, spatial geometry and imagination or teacher-trainings. The contributions include in-depth theoretical considerations, concrete developed applications and learning environments, and findings from empirical studies.
The proof by contradiction of the negation of Riemann Hypothesis
Data Structures and Algorithms In Graphics and Geometry
Data Structures and Algorithms in Graphics and Geometry provides a comprehensive exploration of the intersection between computer graphics, computational geometry, and algorithm design. This book delves into the fundamental data structures and algorithms essential for solving complex problems in graphics and geometry-related applications. From representing geometric objects and spatial data to performing geometric computations and rendering techniques, readers are equipped with the knowledge and tools needed to tackle challenges in areas such as computer-aided design, computer graphics, robotics, and geographic information systems (GIS). Through theoretical foundations, practical implementations, and algorithmic analysis, the book offers insights into optimizing performance and efficiency in graphics and geometry algorithms. Whether you're a computer scientist, software engineer, or researcher in the field of computer graphics and computational geometry, this book serves as an invaluable resource for understanding and applying data structures and algorithms in diverse graphical and geometric contexts.
?tale Cohomology
An authoritative introduction to the essential features of 矇tale cohomology A. Grothendieck's work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced 矇tale cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to 矇tale cohomology, covering the essential features of the theory. Milne begins with a review of the basic properties of flat and 矇tale morphisms and the algebraic fundamental group. He then turns to the basic theory of 矇tale sheaves and elementary 矇tale cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Milne proves the fundamental theorems in 矇tale cohomology--those of base change, purity, Poincar矇 duality, and the Lefschetz trace formula--and applies these theorems to show the rationality of some very general L-series.
Singular Ordinary Differential Operators and Pseudodifferential Equations
No detailed description available for "Singular Ordinary Differential Operators and Pseudodifferential Equations".
Convergence Structures 1984
No detailed description available for "Convergence Structures 1984".
Convergence Structures and Applications to Analysis
No detailed description available for "Convergence Structures and Applications to Analysis".
Mathematics for Engineers
Mathematics for Engineers offers a comprehensive treatment of the core mathematical topics required for a modern engineering degree. The book begins with an introduction to the basics of mathematical reasoning and builds up the level of complexity as it progresses. The approach of the book is to build understanding through engagement, with numerous exercises and illuminating examples throughout the text designed to foster a practical understanding of the topics under discussion.Features Replete with examples, exercises, and applications Suitable for engineers but also for other students of the quantitative sciences Written in an engaging and accessible style while preserving absolute rigor.
Depth-bounded Reasoning. Classical Propositional Logic
The "cost of reasoning", i.e., the cognitive or computational effort required by non-ideal, resource-bounded (human or artificial) agents in order to perform non-trivial inferences, is a crucial issue in philosophy, AI, economics and cognitive (neuro)science. Accounting for this fundamental variable in modelling real-world reasoning and decision-making is one of the most important and difficult challenges in the theory of rationality. With this volume, we are launching a series that, under the general title of "Logic and Bounded Rationality", aims to create a community of researchers from several areas that wish to cooperate towards a systematic logical view of bounded rationality.However, a key stumbling block for any effort in this direction, is that a basic component of many reasoning and decision making tasks, namely deductive reasoning in propositional logic, is computationally hard. Hence, in this first volume of the series we offer a novel view of classical propositional logic. We present an "informational semantics" for the classical operators whose proof-theoretical presentation is a system of classical natural deduction that, unlike Gentzen's and Prawitz's systems, yields a simple way of measuring the "depth" of an inference. This approach leads to defining, in a natural way, a sequence of tractable depth-bounded deduction systems. As recent applications in formal argumentation and non-monotonic reasoning suggest, our approach provides a plausible model for representing rational agents with increasing, albeit limited, computational resources.
Introduction to the Theory and Structures of Modules
The concepts of module or quotient module have similar perspectives of motivations with the definition of a factor or a quotient ring. The additive abelian structure is induced by the additive structure on it. The projective modules are duals of the injective modules. Every free module is projective. This is another way of saying that the projective modules are generalizations of the free modules. Further, any projective module is a direct summand of a free module. Thus, the injective modules generally possess the property that every R - module is a submodule of an injective module. The major role of the infinite cyclic group is taken over by the additive group of R. This happens in a group with R as the operator ring. Suppose that R is considered as a right R - module, selection can be made as generator, the unit element of R or any divisor of the unit element. The direct sum of an arbitrary set of such groups will usually be called a free R - module.
Mathematical Meditations
Mathematical Meditations identifies, explores, and celebrates those aspects of mathematics that are good for you and your overall wellbeing. It is necessary for everyone to have a little time to think every so often: to contemplate, meditate, and try to understand where you are and what is going on around you. Mathematics can help you with all of that.The Meditations in this book are the product of thousands of years of mathematical discourse. As you read through the book and work through the various exercises, you will discover new mechanisms that allow you to contemplate and understand some complex mathematical principles. However, the focus will always be wider than a mere dry comprehension of theory, as you will be encouraged to meditate upon the deeper intrinsic beauty of mathematics and what it can reveal to us about the world around us.Features An original, engaging narrative format replete with novel exercises and examples Could be used in a classroom setting for liberal arts students, mathematics undergraduates, or high school teachers Accessible to anyone who wants to explore a different kind of perspective on mathematics
Arduino-Programmed Catapult for Oblique Launch Study
This work aims to build an Arduino-controlled catapult that can launch objects at different angles and distances, as well as providing a practical environment for studying oblique launching. A didactic sequence consisting of 18 hours of lessons is presented, with an innovative proposal for teaching mathematics and physics in high school: the use of programming and robotics concepts to study oblique launching. The step-by-step construction of a specific catapult model without programming or automation is presented. Basic concepts of electronics and programming are covered through interactive simulations of three platforms: PheT Interactive Simulations, TinkeraCad and the Arduino integrated development environment. It also describes a roadmap for programming and automation. The proposal aims to introduce the concept of oblique launching in a practical and fun way. During the course of the lessons, launches are made, data is collected such as launch angle and distance reached by the projectile, and the results obtained are analyzed.
Advances in Cubic Picture Fuzzy Soft Matrices
Advances in Picture Fuzzy Soft Matrices: Theories and Applications provides an in-depth exploration of the mathematical framework and practical applications of picture fuzzy soft matrices. The book discusses the different types of picture fuzzy matrices, focusing on their properties, operations, and relevance in multi-criteria decision-making (MCDM) problems. It elaborates on various types of picture fuzzy soft matrices, including bi-matrices, cubic matrices, and their internal and external forms, while offering theoretical insights into their determinants, adjoints, and correlation coefficients. The work also highlights the importance of picture fuzzy matrices in solving complex decision-making problems by offering novel techniques for handling uncertainty and vagueness in data. The book is structured to present both foundational theories and real-world applications, making it a valuable resource for researchers, scholars, and practitioners in fuzzy logic, decision analysis, and computational intelligence.
Wyoming Test of Proficiency and Progress (WY-TOPP) Test Prep
Improve 2024-25 WY-TOPP Test ScoresPractice workbooks to confidently prepare and excel in the 2025 Wyoming Grade 4 Math Assessments!This 4th Grade WY-TOPP Math Workbook is designed by expert teachers to boost your child's test scores by 10-15 points. Featuring hundreds of practice questions fully aligned with Wyoming Grade 4 Math learning standards, realistic online practice tests, and personalized learning paths, this workbook is tailored to your child's test prep needs!Unmatched Features: Instant Auto-Grading for Faster LearningLumos Learning is the only test prep resource that offers Instant auto-grading with virtual bubble sheets where your child receives immediate feedback, helping them identify areas for improvement and boosting their learning efficiency. Our comprehensive practice tests and workbooks are closely aligned with Wyoming state standards providing targeted preparation to help your child achieve higher scores on the 2025 Wyoming test.What's on the 2024-25 WY-TOPP Grade 4 Math Workbook?Introducing Lumos AI Tutor: While completing practice tasks, your child receives personalized, guided support with step-by-step explanations, helpful hints, and tailored feedback-just like having a teacher at home! Try it today with your workbook.Comprehensive WY-TOPP Prep with 4th Grade Math Practice QuestionsExpert-Designed WY-TOPP Practice: Hundreds of carefully crafted questions aligned with the WY-TOPP test, available in both print and digital formats, covering every essential Math concept.Comprehensive Coverage: The workbook addresses 30+ math skills, including Operations and Algebraic Thinking, Number & Operations in Base Ten, Number & Operations - Fractions, Measurement & Data and Geometry.Realistic Practice Tests: Prepare your child with two full-length practice tests that mirror the exact format and difficulty level of the WY-TOPP exam, helping them feel confident and ready for test day.
Generalized Fixed Point Theorems with Their Applications
In this presented book contains six chapters that areIntroduction, Review of Literature, Random Fixed point theorems and application in Sb metric spaces, Perov Type Results in Gauge Spaces and its Applications to Systems of Integral Equations, Hyers Ulam Stability And Solutions For A Class Of Nonlinear Integral Equations By Fixed Point Technique, Fixed point theorems for the sum of three classes of mixed monotone operators and applications, Tripled Common fixed point results in ordered S-metric spaces. We prove some random fixed point theorems and apply our obtained results to show existence of a unique solution to an initial value problem as an application. We also prove a tripled coincidence and common fixed point theorems for commuting mappings with mixed g-monotone property in partially ordered S-metric spaces. Our obtained results are applied for solving nonlinear fractional differential equations with integral boundary conditions, and also, we give some specific examples.
Effect of suction/injection on unsteady mhd natural convection flow
This research paper explores the effect of suction/injection on unsteady MHD natural convection flow of heat mass transfer in porous channel in the presence of Soret term. The governing partial differential equations are converted to non- dimensional forms and solved numerically by using unconditionally stable and convergent implicit finite difference method. A parametric study illustrating the influence of various physical parameters is performed. It is reported that the velocity profile increases as Soret term, Grashof number, Solutal Grashof number and Porous parameters values increase, while Magnetic field parameter decreases the velocity profile. The temperature profile rises by the influence in increasing values of Variable Thermal Conductivity and decreases by increasing values of Prandtl number and Radiation parameters. While concentration profile increase by the increasing values of Soret term and Chemical reaction. The dependence of the skin friction coefficient, rate of heat transfer and mass transfer on these parameters has been discussed.
Multiplication in different logical view
Multiplication process is discussed differently here in the book. This logical view is different from previous and this method describes the multiplication process perfectly. The various types of multiplication is discussed here which is different than our previous knowledge and my logical view on multiplication gives the proper view of product rule of two numbers as well as two different things. Field system is discussed here which is different than our own field system of higher mathematics. Multiplication process perfectly described here with other operation and anyone who knows multiplication can read and think about my logical method. It is a new point of view for multiplication rule and it will help us to understand the view of multiplication process. Reader may read my research paper published in "International Journal of Scientific & Engineering Research" where I also wrote the method and in my book I have discussed the method perfectly to establish a new process of multiplication which is logically perfect than before.
Score Easy Innovative Mathematics Class-X
Score Easy Innovative Mathematics is your trusted companion for mastering Class X mathematics with ease and confidence. Tailored to meet the needs of today's leamers, this textbook blends fraditional teaching methods with modern, innovative approaches to simplify complex concepts and enhance problem-solving skills.
Analyse the Impact of Magnetic Field and Temperature on Fluid Flow
This book explores the intricate interplay between magnetic fields, temperature variations, and fluid dynamics, providing a comprehensive analysis of their combined effects on fluid flow behavior. It delves into the theoretical foundations and practical applications, emphasizing the significance of magneto hydrodynamics (MHD) in engineering, physics, and environmental sciences. Through detailed mathematical models, experimental studies, and simulations, the book highlights the influence of magnetic fields on flow patterns, heat transfer, and stability, along with the role of temperature gradients. The work offers valuable insights for researchers and professionals seeking to optimize fluid systems in areas like energy generation, aerospace, and medical technologies.
Big Sudoku - the big Sudoku book
Big Sudoku Levels 1-5 is a collection of Sudoku puzzles specifically designed to challenge and entertain both novice and advanced players. This book contains Sudoku puzzles at a range of difficulty levels, ranging from Level 1, which is suitable for beginners, to Level 5, which offers challenging puzzles for experienced thinkers. The levels increase in complexity, with the early levels helping players to become familiar with the basics of the game before moving on to more challenging patterns and strategies. The goal of each Sudoku puzzle is to place the numbers 1 to 9 in a 9x9 grid so that each number appears only once in each row, column, and each of the nine 3x3 sub-squares. These challenges promote logical thinking, patience, and problem-solving skills, providing hours of entertainment for all ages and abilities. The book is ideal for anyone looking to improve their logical thinking or just enjoy solving puzzles.
Geometric Modeling
This book provides the fundamental knowledge and tools necessary to understand the principles and techniques in the field of geometric modeling and is an essential textbook for undergraduate and graduate students. It includes a detailed exploration of key modeling techniques, from wireframe modeling to complex fractal modeling, highlighting their various applications in different fields and industries. In this book, the basic representation of geometric 3D objects with wireframes as the backbone of more complex models is explored. The details of surface modeling with techniques such as NURBS and subdivision surfaces are discussed. Concepts of constructive solid geometry (CSG) and boundary representation (B-rep) are explained and methods of representing 3D objects with volume are presented. The beauty of fractals and their ability to simulate natural phenomena, produce complex patterns and create stunning visual designs are explained. And finally, the basic and attractive concepts of rendering and visualization have been discussed.
Challenging mathematics
This comprehensive text delves into the intricate world of higher mathematics, offering a rigorous exploration of advanced concepts crucial for today's aspiring mathematicians and scientists. From abstract algebra to complex analysis, the book covers a wide spectrum of topics, providing readers with a solid foundation for further academic pursuits and real-world problem-solving. Written for upper-level undergraduate and graduate students, this volume stands out for its clear explanations of challenging theories and its emphasis on practical applications. The authors expertly balance theoretical depth with insightful examples, making abstract ideas accessible without sacrificing mathematical rigor.By mastering the contents of this book, readers will not only enhance their mathematical prowess but also develop critical thinking skills essential for tackling complex problems in various scientific and technological fields.Whether you're aiming for a career in pure mathematics, physics, engineering, or data science, this text is an indispensable resource for pushing the boundaries of your mathematical understanding.
Mathematics for the Engineers I
Mathematics is the language of engineering and a compulsory subject in worldwide engineering education. So as engineering students, it is mandatory to study Mathematics and learn Mathematical calculations meticulously. In engineering, there are several branches such as computer engineering, electrical and electronic engineering, mechanical engineering, communication engineering and civil engineering and each branch has a different study set focused on the significance of Mathematics. Mathematics provides the analytical and problem-solving tools necessary for engineers to design, analyze and optimize systems, ensuring that they meet safety, efficiency and performance requirements. Without mathematics, engineers would struggle to design effective control systems, leading to inefficiencies and instability in processes. This book provides the easiest and comfortable techniques to the students to learn mathematical calculations effortlessly and independently at home. Moreover, the necessary formulas have been included here with the very beginning of this book so that students can get a complete idea of calculations without the help of other study materials.
Mathematics for the Engineers II
Mathematics is the language of engineering and a compulsory subject in worldwide engineering education. So as engineering students, it is mandatory to study Mathematics and learn Mathematical calculations meticulously. In engineering, there are several branches such as computer engineering, electrical and electronic engineering, mechanical engineering, communication engineering and civil engineering and each branch has a different study set focused on the significance of Mathematics. Mathematics provides the analytical and problem-solving tools necessary for engineers to design, analyze and optimize systems, ensuring that they meet safety, efficiency and performance requirements. Without mathematics, engineers would struggle to design effective control systems, leading to inefficiencies and instability in processes. This book provides the easiest and comfortable techniques to the students to learn mathematical calculations effortlessly and independently at home. Moreover, the necessary formulas have been included here with the very beginning of this book so that students can get a complete idea of calculations without the help of other study materials.
Is Math Real?
One of the world's most creative mathematicians offers a "brilliant" and "mesmerizing" (Popular Science) new way to look at math--focusing on questions, not answers Winner of the Los Angeles Times Book Prize and a New Scientist Best Book of the Year Where do we learn math: From rules in a textbook? From logic and deduction? Not really, according to mathematician Eugenia Cheng: we learn it from human curiosity--most importantly, from asking questions. This may come as a surprise to those who think that math is about finding the one right answer, or those who were told that the "dumb" question they asked just proved they were bad at math. But Cheng shows why people who ask questions like "Why does 1 + 1 = 2?" are at the very heart of the search for mathematical truth.   Is Math Real? is a much-needed repudiation of the rigid ways we're taught to do math, and a celebration of the true, curious spirit of the discipline. Written with intelligence and passion, Is Math Real? brings us math as we've never seen it before, revealing how profound insights can emerge from seemingly unlikely sources.   
The Cognitive Dimension of Social Argumentation Proceedings of the 4th European Conference on Argumentation Volume III
This is Volume III 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 field 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.
The Cognitive Dimension of Social Argumentation Proceedings of the 4th European Conference on Argumentation Volume II
This is Volume II 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 field 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.
