Math Mammoth Grade 8-A Worktext, International Version
Math Mammoth Grade 8-A Worktext (International Version) is the first student book for eighth grade mathematics, and part of the Math Mammoth Grade 8 complete curriculum.This book starts with a study of exponent laws, using both numerical and algebraic expressions. The first chapter also covers scientific notation (both with large and small numbers), significant digits, and calculations with numbers given in scientific notations.In chapter 2, students learn about geometric transformations (translations, reflections, rotations, dilations), common angle relationships, and volume of prisms, cylinders, spheres, and cones. Next, in chapter 3, our focus is on linear equations.Students both review and learn more about solving linear equations, including equations whose solutions require the usage of the distributive property and equations where the variable is on both sides.Chapter 4 presents an introduction to functions. Students construct functions to model linear relationships, learn to use the rate of change and initial value of the function, and they describe functions qualitatively based on their graphs.
Mathematical Methods Applied in Artificial Intelligence and Multi-Agent Systems
Due to rapid developments in computing, communication, and sensing technology, multi-agent systems have become increasingly ubiquitous. Their applications include mobile sensor networks, autonomous vehicles, intelligent transportation systems, and smart grids. The complex unknown environment and inaccurate dynamics prose additional challenges for the modeling, control, and optimization of such systems. Therefore, data science and machine learning are providing opportunities to develop artificial intelligence-based methods and enable new control and optimization paradigms for multi-agent systems. The aim of this Special Issue is to bring together significant developments in the interface between machine learning, neurodynamics, and swarm intelligence.
46 Ways to Play Math
Math Games Enhance LearningMath games build mental flexibility and strategic reasoning in players of all ages. And even people who hated math in school can enjoy the friendly challenge of a game.These are NOT the typical memory-and-speed-based math games you've probably seen online, but true battles of wit and skill (plus a bit of luck). Even the preschool games can be fun for adults, too.Most of the games take only seconds to learn and less than 15 minutes to play, making them perfect ice-breakers for family gatherings, classroom warmups, or for launching a group game night.You'll love these strategic challenges for preschoolers to adult gamers. Easy to learn, quick to play! Who knew math could be so much fun?Includes six skill-level game chapters: Early Counting Games: 7 Ways to Play Math with Young LearnersCounting Games with Bigger Numbers: 7 Ways to Play Math with Primary StudentsEarly Mental Math: 6 Ways to Play Math with Primary StudentsIntermediate Mental Math: 6 Ways to Play Math in the Middle GradesAdvanced Mental Math: 6 Ways to Play Math with Older StudentsGraphing Games: 6 Ways to Play Math with Older StudentsPlus four bonus chapters for all ages: The Best Math Game Ever: Creative Math for All AgesCreative Nim: Make Your Own Math & Logic GamesThe Function Machine: A Card Game of Algebraic ThinkingNumber Neighborhoods: Two Math Games of Logical Deduction46 Ways To Play Math features instructions and math game pages in full-color, tips for the teacher, and plenty of room to record your game modification or house rules.Grab a deck of cards, a few dice, or markers and graph paper, and let's play some math!
Utility of Quaternions in Physics
Utility of Quaternions in Physics, a classical book, has been considered important throughout the human history, and so that this work is never forgotten we at Alpha Editions have made efforts in its preservation by republishing this book in a modern format for present and future generations. This whole book has been reformatted, retyped and designed. These books are not made of scanned copies of their original work and hence the text is clear and readable.
So You Think You Know III
The secret qualities of numbers revealing the keys to understanding ancient cryptic works. Numbers related to biology, chemistry and secrets of Fibonacci and Polynacci Single Digit Cycles. Golden Angles and the Great Pyramid are new discoveries together with a detailed study of long division Single Digit Properties and Magic Squares. An ancient method of calculating planetary distances is detailed.
The Non-Uniform Riemann Approach to Stochastic Integration
This is the first book that presents the theory of stochastic integral using the generalized Riemann approach. Readers who are familiar with undergraduate calculus and want to have an easy access to the theory of stochastic integral will find most of this book pleasantly readable, especially the first four chapters. The references to the theory of classical stochastic integral and stochastic processes are also included for the convenience of readers who are familiar with the measure theoretic approach.
Problems and elegant solutions in mathematical analysis
This is a mathematical reference book for students, graduates and researchers who are interested in the challenging problems as the extreme of function, equation and series arising in the mathematical analysis. The book aims at encouraging those who were accustomed to standard calculation to be interested in solution of more challenging problems such as differential equation, integral equation and series. This research paper is the limit part of "challenging problems and elegant solution in mathematical analysis" to continuity of limit part, integral part and equation part. It can be widely used by students in mathematics and physics, and everyone who is interested in mathematical analysis. It is certain that this will be contributed to the students, the graduates and researchers who are going to mathematically analyze the physical situations arise in advanced science and technology.
Didactic games
This book arose from the desire and need to make maths lessons more attractive, interesting and enjoyable for both teachers and students. We are using didactic games as a way of intervening in maths lessons to try to reduce or solve the difficulties that students have in this subject. Our intention is to contribute to a reflection on the teacher's didactic-pedagogical action in order to improve the teaching-learning process in Maths, bringing about more meaningful learning, suggesting games as a teaching strategy that will reduce the existing blockages between the student and this subject, as well as reporting on some classroom experiences.
Journal of Applied Logics. The IfCoLog Journal of Logics and their Applications. Volume 15, issue 5, October 2024. Special Issue
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.
Mathematical Logic
The book "Mathematical Logic" has been meticulously prepared to serve the students of the B.A./ B.Sc./ B.Com. third semester (As per NEP-2020 new syllabus) Mathematics skill enhancement course under Dibrugarh University. Mathematical logic is a fundamental course in undergraduate mathematics, providing essential tools and concepts that are foundational for further studies in the field. This book covers all the topics outlined in the syllabus.
Euclid Transmogrified
This book tells the extraordinary story of how in the mid twentieth century, in a well-developed European country, a mathematically solid system of geometry was altered to such an extent that more than one million students were taught foundationally flawed geometry over more than a quarter of a century. The almost unbelievable situation came about in Ireland in the wake of early postcolonial developments that gave rise to an impressionable and unqualified civil service in a position of power over a nation's educational development. This is a multifaceted tale of a perfect storm within mathematics development in Ireland whose result was so destructive that its ramifications continue to be felt into the twenty-first century, forty years after a report of a Royal Irish Academy commission of professors of mathematics described the matter as a national scandal. Euclid Transmogrified: A National Scandal may be of interest to mathematics teachers, lecturers in mathematics, mathematical historians, lecturers in education, students of mathematical education, administrators of mathematical education, science administrators, science journalists and those educated in mathematics in Ireland, especially those born between 1954 and 2000. https: //sites.google.com/view/euclidtransmogrified1
Applications of partial differential equations in plasma physics I
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. In the study was introduced a new mathematical model for calculating the thermodynamic forces, kinetic coefficients, and flux variables as two new scientific achievements. Secondly, with reasonable accuracy, was determined the thermodynamic equilibrium time of electrons under an external force. 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. It advances our understanding of plasma physics and holds immense potential for practical applications in aerospace engineering, plasma technology, and materials science. This book lays the groundwork for future innovations and technological advancements in plasma.
Optimal Transport on Quantum Structures
The flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal transport on quantum structures, i.e., optimal transportation between quantum states and related non-commutative concepts of mass transportation. It contains lecture notes on classical optimal transport and Wasserstein gradient flowsdynamics and quantum optimal transportquantum couplings and many-body problemsquantum channels and qubits These notes are based on lectures given by the authors at the "Optimal Transport on Quantum Structures" School held at the Erd繹s Center in Budapest in the fall of 2022. The lecture notes are complemented by two survey chapters presenting the state of the art in different research areas of non-commutative optimal transport.
Methods of Graph Decompositions
In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions discusses some state-of-the-art decomposition methods of graph theory, which are highly instrumental when dealing with a number of fundamental concepts such as unigraphs, isomorphism, reconstruction conjectures, k-dimensional graphs, degree sequences, line graphs and line hypergraphs. The first part of the book explores the algebraic theory of graph decomposition, whose major idea is to define a binary operation that turns the set of graphs or objects derived from graphs into an algebraic semigroup. If an operation and a class of graphs are appropriately chosen, then, just as for integers, each graph has a unique factorization (or canonical decomposition) into a product of prime factors. The unique factorization property makes this type of decomposition especially efficient for problems associated with graph isomorphism, and several such examples are described in the book. Another topic is devoted to Krausz-type decompositions, that is, special coverings of graphs by cliques that are directly associated with representation of graphs as line graphs of hypergraphs. The book discusses various algorithmic and structural results associated with the existence, properties and applications of such decompositions. In particular, it demonstrates how Krausz-type decompositions are directly related to topological dimension, information complexity and self-similarity of graphs, thus allowing to establish links between combinatorics, general topology, information theory and studies of complex systems. The above topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory. The book will be ideal for researchers, engineers and specialists, who are interested in fundamental problems of graph theory and proof techniques to tackle them.
Lexy and Kaylee's Advanced Nurikabe for Adults and Teens Volume Two
From the creators of Lexy and Kaylee's Canine Coloring Book for Children series now have put together an activity book for Adults and Teens. Inside there are 52 advanced 24x24 Nurikabe Puzzles in an easy to carry 6 x 9 format. Great for taking with you on plane and train rides or to sit at the beach or by the pool.Nurikabe is a logic puzzle that originated in Japan. The puzzle is named after a mythical creature from Japanese folklore, believed to create invisible walls to block travelers. Here's an overview of its history and how it has evolved: Origins and Development: The name "Nurikabe" is derived from a Japanese folklore creature that is said to appear as an invisible wall obstructing travelers' paths. This connection to the mythical creature adds a cultural layer to the puzzle's identity. The exact origins of the Nurikabe puzzle is not well-documented, but it is known to have been popularized by the Japanese puzzle company Nikoli. Nikoli has been instrumental in developing and spreading various types of logic puzzles, including Sudok. Nurikabe was first introduced in Nikoli's Puzzle magazine in the late 20th century. The puzzle quickly gained a following among puzzle enthusiasts in Japan and later internationally.Spread and Popularity: Like many other logic puzzles, Nurikabe became popular in Japan through Nikoli's publications. Japanese puzzle solvers appreciated its unique challenge and engaging nature. Nurikabe began to spread outside Japan in the early 21st century as puzzle enthusiasts and publishers in other countries discovered it. The rise of the internet and puzzle apps contributed significantly to its global popularity. Nurikabe is now available on various online puzzle platforms and mobile apps, allowing a global audience to enjoy the puzzle.Mechanics and Rules: Nurikabe is played on a rectangular grid, with some cells containing numbers. The goal is to shade specific cells to form a continuous "wall" while leaving the remaining cells as "islands."Cultural and Educational Impact: Nurikabe has a dedicated following among puzzle enthusiasts. It is often featured in puzzle magazines, websites, and competitions. The puzzle is also used in academic settings to teach logical reasoning and problem-solving skills. Its unique rules and requirements make it an excellent exercise in spatial awareness and deductive logic.Variations and Adaptations: Over time, different variations of Nurikabe have emerged, introducing new challenges and twists to the original rules. Some puzzles may have different grid shapes or additional constraints to increase difficulty. Nurikabe has also inspired hybrid puzzles that combine their elements with other logic puzzles, creating new and innovative challenges for solvers.Nurikabe is a logic puzzle deeply rooted in Japanese culture and folklore. It has grown in popularity both in Japan and internationally, thanks to its challenging nature and the efforts of puzzle publishers like Nikoli. Today, it continues to be a beloved puzzle enjoyed by many worldwide.
Flows in Networks
A landmark work that belongs on the bookshelf of every researcher working with networks In this classic book, first published in 1962, L. R. Ford, Jr., and D. R. Fulkerson set the foundation for the study of network flow problems. The models and algorithms introduced in Flows in Networks are used widely today in the fields of transportation systems, manufacturing, inventory planning, image processing, and Internet traffic. The techniques presented by Ford and Fulkerson spurred the development of powerful computational tools for solving and analyzing network flow models, and also furthered the understanding of linear programming. In addition, the book helped illuminate and unify results in combinatorial mathematics while emphasizing proofs based on computationally efficient construction. With an incisive foreword by Robert Bland and James Orlin, Flows in Networks is rich with insights that remain relevant to current research in engineering, management, and other sciences.
Modeling of biomechanical heat transfer in human physiology
This book explores the intricate connections between various disciplines such as anatomy, physiology, neurology, and the biomechanical aspects of heat transfer within the human body. It highlights the significant overlap between kinesiology, the systematic study of human movement, and biomechanics, particularly in analyzing movement patterns, enhancing physical performance, and addressing mechanical factors underlying injuries and diseases. The primary objectives include optimizing physical performance and understanding injury processes for prevention strategies. Biomechanics, as delineated in the book, comprises two principal sections: kinematics and kinetics. Kinematics involves the detailed description of motion, encompassing movement patterns and the sequencing of body segments that influence coordination and performance outcomes. In contrast, kinetics investigates the causes of motion, particularly the forces acting on the body. This distinction underscores kinetics' focus on force analysis, setting it apart from kinematics which primarily concerns itself with describing motion patterns.
Contributions to the Theory of Special Functions and Number Theory
The author has given a brief introduction of an all-time great Mathematician Srinivasa Ramanujan, the man who reshaped twentieth-century mathematics with his various contributions in several mathematical domains, including Mathematical analysis, Infinite series, Continued fractions, Number theory and Game theory.He has established new general theorems for the explicit evaluations of Ramanujan's remarkable product of theta function and their new explicit assessment.He has also established several new P - Q eta-function identities which were obtained, leading to several new modular relations for the Ramanujan-G繹llnitz-Gordon continued fraction.He has obtained a continued fraction of order 12 and evaluated several new identities analogous to the Rogers-Ramanujan continued fraction and Ramanujan's cubic continued fraction.He has derived some new modular equations of degree 5 for the ratios of Ramanujan's theta function and new modular relations for Ramanujan's parameters related to Rogers-Ramanujan's continued fraction were also established along with their explicit evaluations.
Some Studies on Theta Functions and Their Related Identities
The author has given a brief introduction of an all-time great Mathematician Srinivasa Ramanujan, the man who reshaped twentieth-century mathematics with his various contributions in several mathematical domains, including Mathematical analysis, Infinite series, Continued fractions, Number theory and Game theory.He has established several interesting and new explicit evaluations for newly defined parameters by using Ramanujan Weber class invariants, modular equations and mixed-modular equations.He has established several new explicit evaluations of Ramanujan's remarkable product of theta-function.He has established some new general theorems for explicit evaluations of the product of theta-function.He has derived several general formulas for explicit evaluations of Ramanujan's cubic continued fractions, reciprocity theorems, two formulas connecting V(q) and V(q3) and also established some explicit evaluations using the values of the remarkable product of theta-function.He has obtained a modular transformation formula for the theta-function.
Mathematical Methods for Operations Research Problems
This reprint of the Special Issue in the journal Mathematics presents research in the area of Operations Research. The subjects addressed in the 15 research papers cover a broad spectrum of subjects, such as machine learning, scheduling, timetabling, or graph theory.
Advanced Probability and Statistics
The chapters in this book deal with: Basic formulation of waveguide cavity resonator equations The reviews of basic statistical signal processing The Hartree-Fock equations
Fluid Waves
The book covers mathematical basis for fluid waves in science and engineering illustrating basis to undertake pertinent calculations in varied areas. It covers fundamentals of fluid dynamics including chapters explaining specialized applications. All concepts are supported by narrative examples, illustrations, and case studies.
Evolutionary Optimization Algorithms
The text covers evolutionary optimizing algorithms with the help of MATLAB and Python programming in a comprehensive manner. It will be an ideal reference text for readers in diverse engineering fields including electrical, electronics and communication, computer science and mechanical engineering.
Selected Topics in Statistical Inference
This book focuses exclusively on the domain of parametric inference and that, too, from a reader's perspective, i.e., covering only point estimation of parameter(s). It covers those topics in parametric inference which need clarity of exposure to students, researchers, and teachers alike; mere statements of theorems and proofs may not always reveal the inner beauty and significance of some aspects of inference. To ensure clarity, the book discusses the following topics at an advanced level-(1) sequential (unbiased) point estimation of 'p' and its functions; generalization to trinomial and tetranomial populations; (2) some aspects of the use of additional resources in finite population inference; (3) the concept of sufficiency vis-?-vis the notion of sufficient experiments and comparison of experiments; (4) estimation of the size of a finite population with special features; and (5) unbiased estimation of reliability in exponential samples and other settings. This book provides a platform for thought-provoking, creative, and challenging discussions on a variety of topics in statistical estimation theory, it is also ideal for research methodology course for statistics research scholars, and for clarification of basic ideas in topics discussed at basic/advanced levels.
High Dimensional Space to Formulate Marriage and Birth Functions
The reaction-diffusion system describes the fertility decline process, elaborating where and when fertility declines and analyzes how to slow down the fertility decline using Brittany as a testing ground. The model used suggests that our behaviors are not governed by our conscious wills but by surrounding environment.
Multi-Fractal Traffic and Anomaly Detection in Computer Communications
This book provides a comprehensive theory of mono- and multi-fractal traffic, including the basics of long-range dependent time series and 1/f noise, ergodicity and predictability of traffic, traffic modeling and simulation, stationarity tests of traffic, traffic measurement and the anomaly detection of traffic in communications networks.
Compressible Flow with Applications to Engines, Shocks and Nozzles
This book is part of the series "Mathematics and Physics Applied to Science and Technology." The book presents the mathematical theory of partial differential equations. It includes applications to acoustic, elastic, water, electromagnetic and other waves, to the diffusion of heat, mass and electricity, and to their interactions.
Frontiers of Fractal Analysis
This book provides a better understanding of mutant strains and their pathogenicity by performing genomic sequences of samples. The book will benefit clinicians, educators, scientists, industrialists and policymakers in handling the crisis of the outbreak.
Multivariate Statistical Modeling in Engineering and Management
The book focuses on problem solving for practitioners and model building for academicians under multivariate situations. This book helps readers in understanding the issues, such as knowing variability, extracting patterns, building relationships, and making objective decisions.
Fuzzy Optimization Techniques in the Areas of Science and Management
This book helps to enhance the application of fuzzy logic optimization in the areas of science and engineering. It includes implementation and modeling paradigms such as path planning and routing design for different wireless networks, organization behavior strategies modeling, and so forth.
Select Topics in Signal Analysis
This book developed from a course given by the author to undergraduate and postgraduate students. It takes up Matrix Theory, Antenna Theory, and Probability Theory in detail.The first chapter on matrix theory discusses in reasonable depth the theory of Lie Algebras leading upto Cartan's Classification Theory. It also discusses some basic elements of Functional Analysis and Operator Theory in infinite dimensional Banach and Hilbert spaces. The second chapter discusses Basic Probability Theory and the topics discussed find applications to Stochastic Filtering Theory for differential equations driven by white Gaussian noise. The third chapter is on Antenna Theory with a focus on Modern Quantum Antenna Theory.The book will be a valuable resource to students and early career researchers in the field of Mathametical Physics.
Tilings in Hyperbolic Space in an Arbitrary Dimension
Of a special interest are tilings in hyperbolic n-space. The present work studies tilings in hyperbolic n-space of arbitrary dimension by polytopes. The best behaved tilings are the face-to-face tilings by convex polytopes. The main results of this publication are obtained for tilings (isohedral, non-isohedral, face-to-face, non- face-to- face) in the hyperbolic n-space of arbitrary dimension for any n, (n >= 2) by compact and non-compact polytopes and we describe their discrete isometry groups and properties. Torsion free groups are especially important.
Mathematical Gnostics
The focus of the book will be concentrated to the step-by-step explanation of applications of the algorithms to real data which are met in daily practice by all data analysts, with particulr focus on chemcial engineering. The book will lead readers through all relevant tasks on one-dimensional, two-dimensional, and multi-dimensional data analysis.
Predictive Analytics
Predictive analytics refers to making predictions about the future based on different parameters which are historical data, machine learning, and artificial intelligences. This book provides the most recent advances in the field along with case studies and real-world examples.
Robust Engineering Designs of Partial Differential Systems and Their Applications
This book focusses on partial differential systems (PDS) from an engineering perspective covering robust stabilization control, filter, and reference tracking design in signal processing, control, and biological systems.
Skew-Normal Model Theories and Their Applications
This book focuses on several skew-normal mixed effects models, and systematically explores the statistical inference theories, methods, and applications of parameters of interest. This book is of academic value, since it helps to establish a series of statistical inference theories and methods for skew-normal mixed effects models.
Quantitative Literacy Through Games and Gambling
This book was developed to address a need. Quantitative Literacy courses have been established in the mathematics curriculum for decades now. The students in these courses typically dislike and fear mathematics, and the result is often a class populated by many students that are unmotivated and uninterested in the material.
Euclid Transmogrified
This book tells the extraordinary story of how in the mid twentieth century, in a well-developed European country, a mathematically solid system of geometry was altered to such an extent that more than one million students were taught foundationally flawed geometry over more than a quarter of a century. The almost unbelievable situation came about in Ireland in the wake of early postcolonial developments that gave rise to an impressionable and unqualified civil service in a position of power over a nation's educational development. This is a multifaceted tale of a perfect storm within mathematics development in Ireland whose result was so destructive that its ramifications continue to be felt into the twenty-first century, forty years after a report of a Royal Irish Academy commission of professors of mathematics described the matter as a national scandal. Euclid Transmogrified: A National Scandal may be of interest to mathematics teachers, lecturers in mathematics, mathematical historians, lecturers in education, students of mathematical education, administrators of mathematical education, science administrators, science journalists and those educated in mathematics in Ireland, especially those born between 1954 and 2000. https: //sites.google.com/view/euclidtransmogrified1
Lectures on Differential Geometry
This book presents a concise introduction to differential geometry. It is aimed at advanced undergraduate students and first year graduate students who wish to have a basic solid knowledge of the subject, and it can serve as a starting point for more advanced reading. The book is organized into lectures, so it can easily be used as a textbook for a beginning graduate-level course in differential geometry.
The Extension of Fixed Point Theorems in Various b-Metric Spaces
This book entitled "The Extension of Fixed Point Theorems in Various b-Metric Spaces" is divided into following 8 chapters Chapter - I: The first chapter is an introductory part of our research work which includes the brief introduction of our topic.Chapter - II: Our second chapter titled as "Fixed Point Results for Various Contractions in b-Metric Spaces." Chapter - III: The chapter third having the title "Common Fixed Point Theorem in b-Metric Spaces for Compatible Mapping of Type (A)"Chapter - IV: The fourth chapter titled as, "Common Fixed Point Theorems for Two Self Compatible Mapping Satisfying an Implicit Relation of b-Metric Spaces." Chapter - V: The Chapter five titled as, "Existence of Fixed Point Theorem of Integral Type Contractions in b-Metric Spaces". Chapter - VI: Chapter six titled as "Coupled Coincidence Fixed Point Theorem in Two Weakly Compatible Mapping in b-Metric Spaces ".Chapter - VII: The seventh chapter titled as "Coincidence and Common Fixed Point Theorem using Compatible Mapping of Type (P) in Intuitionistic Fuzzy b-Metric Spaces" Chapter - VIII: Our last chapter titled as "Some Generalized Theorems of q-Contraction in Symmetric Nb-Fuzzy Metric Spaces".
Lectures on Differential Geometry
This book presents a concise introduction to differential geometry. It is aimed at advanced undergraduate students and first year graduate students who wish to have a basic solid knowledge of the subject, and it can serve as a starting point for more advanced reading. The book is organized into lectures, so it can easily be used as a textbook for a beginning graduate-level course in differential geometry.
Series and functional series associated with harmonic numbers
The book has five chapters. Chapter 1 gives the basic knowledge needed to understand the contents of this book. Chapter 2 describes several interesting formulas related to harmonic numbers. In Chapter 3, the series problems involving several kinds of harmonics in the general terms are shown together with the solution to these problems can be found in mathematical references dealing with difficult problems. Chapter 4 presents the problem of multiple series involving several kinds of harmonics in general terms with solutions. Chapter 5 presents interesting challenges and open problems involving harmonic numbers in general terms.Since we have raised a number of interesting problems and various technical problems to solve them, this book will be a good reference not only for those specializing in mathematics, but also for those specializing in physics or other natural sciences.
Handbook on Affective Interest in Mathematics
In Nigeria, mathematics holds a pivotal role as a mandatory subject in both primary and secondary education. Mathematics, as an academic discipline, delves into the realms of numbers, shapes, patterns, and their intricate relationships. It equips learners with the vital ability to communicate using symbols and logical reasoning, fostering logical thinking, precision, and spatial awareness (Arhin & Yanney, 2020). Mathematics is regarded as one of the core prime instruments for understanding and exploring the scientific, technological, economic, and social and information world. Science, Technology, Engineering and Mathematics (STEM). Mathematics education is considered as a precious way to make the education system keep up with the developments and to meet the expectations of 21st century skills (Kazu & Cemre, 2021; Ghazali, & Yusof, 2022).
Nonstandard Notebook
A revolutionary notebook that challenges us to play outside (and with) the lines. A standard notebook displays page after page of horizontal lines. But what if we break the pattern? What if the ruled pages grew unruly? In this Nonstandard Notebook, lines twist, fragment, curve, and crisscross in beautiful formations. Each sheet is a distinctive work of imagination, asking us to draw, doodle, and journal in the same spirit. Page after page, as we journey from lines to parabolas to waves, deep questions arise--about form, art, and mathematics. How do we harness the infinite? Why do patterns permeate nature? What are the limitations and possibilities of human vision? Nonstandard Notebook explores these questions and more through its provocative and inspirational images, each displayed with the mathematics that generated it. We see how straight lines can form fractal crenellations, how circles can disrupt and unify, and how waves and scaling can form complex landscapes (or even famous faces). Created by mathematicians, educators, and math popularizers Tim Chartier and Amy Langville, and with a foreword from Ben Orlin (bestselling author of Math with Bad Drawings), Nonstandard Notebook shows that rules--both the rules of mathematics and the rules of a notebook--do not mark the end of creativity, but the beginning.
Digital resources in mathematics teaching
This book shows the work of designing and then implementing a Virtual Teaching and Learning Space (EVEA) that allows students to learn mathematical knowledge through the appropriate use of different technological resources. This proposal is aimed at 4th year students of the Oriented Cycle and is intended to teach with technology, through an easily accessible platform such as Classroom, organizing knowledge by topics and providing interactive resources where students, through ICT and virtual classes, are expected to acquire autonomy and commitment in their work, giving account of the concepts learned through the different activities proposed. In this way, students are expected to play an active role in their learning process, the teacher being a mediator of knowledge and a moderator in the proposed classes. We seek to design pedagogical actions by means of technological resources that allow the acquisition of minimum knowledge in conjunction with the students' interests, promoting activities that allow the construction of significant knowledge.
Mathematical Modeling and Computation of Real-Time Problems
This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems.
Topics in Contemporary Mathematical Analysis and Applications
This book covers contemporary topics of mathematical analysis in the form of new ideas, methods, techniques, algorithms, as well as applications of tools in various engineering and scientific fields. It discusses various problems and offers ways to create models to solve those problems.
