An Observer's Journey Into the Heart of Universes
This work is based exclusively on the observation of sacred arts: Ngombi or Ngoma (Sacred Harp), Mvet ?kang (Harp Cithare), Masque Punu, Songo (sowing game), Menorah (7-branch candlestick) and Hanoukkia (9-branch candlestick), with the current Calendar as their common point of departure. Mathematical universes are built around the recurring unity of quadrilaterals (square or rectangle) with the trilateral figure (triangle) referring to the pyramid. They are mainly characterized by the conversation of one of the quadrilateral's diagonals into a triangular base, while excluding the second, hence the term concave geometric construction. The inner side of geometric figures is the expression of a dynamism whose evolution is both ascending and descending, under a fractal grip by the action of the arithmetic triplet. Central symmetry, orthogonal symmetry, parallelism, perpendicularity, triangulation, diagonometry and more are just some of the geometric theorems to be found here. Civilizational memories are all revealed as bearing the same geometric framework.
Cultural Tourism in Porto Seguro-Bahia
The aim of this research is to evaluate the discursive aspects of cultural tourism adverts about the Discovery Coast. This scientific analysis research is based on French Discourse Analysis (DA), which examines the materiality of discourses and analyses the discursive corpus of advertisements promoting the Discovery Coast in an area that covers the municipalities of Porto Seguro, Belmonte, Santa Cruz Cabr獺lia, Eun獺polis and Itabela in the far south of Bahia. Communication is important because in order to promote tourism in a locality, it needs to be publicised in order to attract visitors to it, using media such as magazines, folders and the Internet, which is currently one of the world's most widespread means of communication. For a product to be sold, it needs to be publicised and it is through this publicity that the consumer is persuaded to buy what is being sold. In this way, adverts are essential tools in the dissemination and propagation of tourism products and are used as a vehicle capable of building a product's image.
Continuous-Parameter Time Series
This book provides a self-contained account of continuous-parameter time series, starting with second-order models. Integration with respect to orthogonal increment processes, spectral theory and linear prediction are treated in detail. L矇vy-driven models are incorporated, extending coverage to allow for infinite variance, a variety of marginal distributions and sample paths having jumps. The necessary theory of L矇vy processes and integration of deterministic functions with respect to these processes is developed at length. Special emphasis is given to the analysis of continuous-time ARMA processes.
Computational Medical Image Analysis
This Special Issue covers a variety of computational applications in medical image analysis. With a vast majority of the articles reporting on machine learning or deep learning-based methodologies, it highlights the transistion toward artificial intelligence over the past decade.
The Voice of Math
A journey through math.Have you always wondered about the mysteries of the universe? The patterns we see in life aren't a coincidence, and it's taken thousands of years for us to see it.Take a dive into a book where we analyze what you think you know then turn it on its head. Did we always know that the patterns we see in seashells also exist in galaxies? Did ancient societies unlock the key to coding, and can we use principles thousands of years old to create innovations that were once just science fiction?Journey into The Voice of Math, a fascinating dive into understanding numbers, where they came from, and where they can take us, not only in laboratories, but in our daily lives.
Secure signal transmission
Voice communication is closely linked to everyday life, such as education, e-learning, commerce, politics and the dissemination of information. To maintain security, sensitive data must be protected during transmission. Chaotic systems have become good candidates for cryptography to increase the degree of security. In this book, we focus on the design of a high-security voice communication system using two levels of encryption based on chaotic systems. The first level is chaotic masking, while the second level is scrambling. In the masking level using two methods, the first method is masking using a hybridization between chaotic frameworks (logistic map and tent map), while the second method is based on the Chua chaotic system. At the scrambling level, we use Arnold's map. At receiver level, we use Pecore and Carroll synchronization to recover the encrypted audio signal.
Multivariable and Vector Calculus
This book covers multivariable and vector calculus. It can be used as a textbook for a one-semester course or self-study. It includes worked-through exercises, with answers provided for many of the basic computational ones and hints for the more complex ones.. This second edition features new exercises, new sections on twist and binormal vectors for curves in space, linear approximations, and the Laplace and Poisson equations.
Artificial Intelligence in Healthcare
The two-volume set LNCS 14975 + 14976 constitutes the proceedings of the First International Conference on Artificial Intelligence in Healthcare, AIiH 2024, which took place in Swansea, UK, in September 2024. The 47 full papers included in the proceedings were carefully reviewed and selected from 70 submissions. They were organized in the following topical sections: Part I: Personalised Healthcare and Medicine; AI driven early diagnosis and prevention; AI driven robotics for healthcare; AI in mental health; Part II: AI in proactive care and intervention; AI-aided medical imaging and analysis; Medical signal and image processing; Assisted living technology; Digital twinning, virtual pathology and oncology; Patient data, privacy and ethics.
New Frontiers in Parameterized Complexity and Algorithms
The research on parameterized complexity (PC), described in these peer-reviewed chapters by esteemed researchers, provides ties to practice as well as new theoretical developments, many in the direction of AI. Applications in bioinformatics and social choice are described, as well as faster, less costly approximation methods and new techniques using machine learning to find treewidth and other metrics. Many practical problems can be solved by harnessing the power of both PC and SAT solvers or integer linear programming modeled by parameterized graph problems. The extremely rapid development and deployment of PC continues to bring fresh understanding and solutions to fundamental open questions.
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.
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.
Basic Concepts of Nonlinear Optimization
This textbook is an introduction to nonlinear optimization, which treats mathematical concepts stringently on the one hand, but also motivates them in great detail and illustrates them with 42 figures. Therefore, the book is not only aimed at mathematicians, but also at natural scientists, engineers, and economists who want to understand and apply mathematically sound methods in their field. With just over two hundred pages, the book offers sufficient flexibility to serve as a foundation for various types of lectures on nonlinear optimization. Many geometric approaches for understanding both optimality conditions and numerical methods introduce a new perspective, enriching the existing literature on optimization. This is particularly evident in the detailed treatment of issues arising from different functional descriptions of the same geometry of feasible sets, and the thus motivated introduction of constraint qualifications for deriving derivative-based optimality conditions. This book is the English translation of the second edition of "Grundz羹ge der Nichtlinearen Optimierung" (Springer, 2021) written in German. The translation was done with the help of artificial intelligence. A subsequent revision was performed by the author to further refine the work and to ensure that the translation is appropriate concerning content and scientific correctness. It may, however, read stylistically different from a conventional translation.
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.
Perturbation Methods
"Perturbation Methods" takes readers on a captivating journey through the realms of science, unlocking the hidden wonders of complex systems through the lens of perturbation theory. This illuminating approach grants us access to the intricate tapestry of particles, forces, and interactions that shape the very fabric of the universe. Delve into the pages of this book and discover the profound impact of perturbation theory across various scientific disciplines. From unraveling the mysteries of quantum mechanics to shedding light on celestial dynamics, prepare to be awed by the immense repercussions of perturbation theory. Join us as we step into a world where even the subtlest disturbances lead to groundbreaking insights and paradigm-shifting discoveries.
Dynamic Geometry on Time Scales
This book provides the first and second fundamental forms of surfaces on time scales. They are introduced minimal surfaces and geodesics on time scales. In the book are studied the covaraint derivatives on time scales, pseudo-spherical surfaces and \sigma_1, \sigma_2 manifolds on time scales.
Calling Carlos
English: James gives details of what he does during the day. The main thing he does is, he calls his friend, Carlos. At bedtime, since he was unable to contact Carlos, he thinks about the many things they both did that day. Before going to sleep, James decides to reset his alarm clock for 7:00 a.m., and he can't wait until tomorrow to call Carlos, again! This book helps children learn how to tell time to the hour and to the half hour with the use of analogue and digital clock illustrations on every page. The digital clocks include "AM" or "PM" to help with this concept. The story is bilingual (English and Spanish), so it can help with teaching about time in both languages. The back pages include learning activities. Espanol: James da detalles de lo que hizo durante el d穩a. Lo que hace principalmente es, llamar a su amigo, Carlos. A la hora de dormir, como no pudo comunicarse con Carlos, piensa en las muchas cosas que los dos hicieron ese d穩a. Antes de dormirse, James decide volver a poner su despertador para las 7:00 a.m., y no puede esperar hasta ma簽ana para llamar a Carlos, 癒otra vez! Este libro ayuda para que los ni簽os y ni簽as aprendan a leer el reloj a la hora y a la media hora con el uso de ilustraciones de un reloj anal籀gico y otro digital en cada p獺gina. El reloj digital incluye "AM" o "PM" para ayudar con ese concepto. El libro es biling羹e (ingl矇s y espa簽ol), as穩 que puede ayudar con la ense簽anza del reloj en los dos lenguajes. Las p獺ginas de atr獺s incluyen actividades de aprendizaje.
Linear Optimization and Duality
This textbook presents a theoretical treatment of linear programming, network flows and applications, integer programming, and computational complexity. The author includes a rigorous discussion of theory, numerous examples and exercises, and geometric intuitive explanations. He also offers computational tips and interpretation of software input.
The Complete Guide to the Sagrada Familia Magic Square
The Passion (western) Facade of the Basilica de Sagrada Familia in Barcelona includes an unconventional 4 by 4 magic square with 310 unique solutions each of which sums to 33, the traditional age of Jesus at his death. In addition to background material on the square and other characteristics of it, this little book contains, for what the author believes to be the first time in print, all 310 solutions.
Mathmamiya
This is a math-mentoring book without the gory mathematical expressions. The intended purpose of this book is to allay the fear of mathematics that most people have. Math is actually a tame and fun ally in accomplishing a lot of things in life, such as investment, social networking, commerce, technology, engineering, and science. I encourage and spark the interest of young people, especially girls, to embrace Mathematics to their full potential. The inherent mathematical ability may be there, but the confidence and pathway to manifest and leverage the ability may not be known. One way to discover and elicit the underlying ability is through humor and cajoling, which is the purpose of this freeform book.
Didactics of Mathematics
This book is the first part of a 3-part series on the didactics of mathematics. By the way, everyone asks the question: What is didactics in teaching?In the didactic teaching method, the teacher gives instructions to the students, and the students are mostly passive listeners. It's a teacher-centered, content-oriented teaching method. Neither the content nor the teacher's knowledge is questioned.
Numbers and Functions
This unique volume covers two fundamental elements of computational methods -- numbers and functions. It provides an in-depth discussion of the behaviors of numbers, including both real and complex numbers. The discussion leads to the important closure properties of numbers, ensuring solution consistence and existence, and also possible failure in numerical computations in science and engineering.This text then introduces types of functions that take numbers as independent variables and produce a single number. Approaches for constructing inverse functions are also provided. Frequently used basis functions are introduced, with detailed studies on their properties and behaviors. Techniques are presented for constructing basis functions and their use in function approximation in computational methods.
Journal of Applied Logics, Volume 11, number 3. 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 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.
Introduction to Mathematical Modeling
Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes.
Conformal Maps and Geometry
'I very much enjoyed reading this book ... Each chapter comes with well thought-out exercises, solutions to which are given at the end of the chapter. Conformal Maps and Geometry presents key topics in geometric function theory and the theory of univalent functions, and also prepares the reader to progress to study the SLE. It succeeds admirably on both counts.'MathSciNetGeometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner evolution.Though Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner evolution. This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry.It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. Conformal Maps and Geometry is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm-Loewner evolution.
Elementary Numerical Mathematics for Programmers and Engineers
Math Mammoth Grade 3 Answer Keys
Math Mammoth Grade 3 Answer Keys (2024 edition) contains answers to Math Mammoth Grade 3-A and 3-B student worktexts, to chapter tests, to the end-of-year test, and to the cumulative review lessons. This is the full-color version.
The Dependability Revolution
"The Dependability Revolution: Mathematical Tools for Building Secure, Reliable Systems" dives into the fascinating world of formal methods for ensuring the smooth operation of critical systems. Imagine a world where power grids never flicker, airplanes never experience malfunctions, and online transactions are always secure. This book explores the mathematical tools and techniques that are revolutionizing the way we design and build dependable systems. You'll delve into concepts like reliability theory, hazard analysis, and formal verification. With clear explanations, the book unveils how these tools can identify potential weaknesses in systems before they become real-world problems. "The Dependability Revolution" isn't just about complex math - it's about real-world impact. Learn how these techniques are used in fields like aerospace engineering, cybersecurity, and financial technology. This book is a must-read for anyone interested in the future of safe, secure, and reliable systems.
Explorations in Monte Carlo Methods
Monte Carlo Methods are among the most used, and useful, computational tools available today. They provide efficient and practical algorithms to solve a wide range of scientific and engineering problems in dozens of areas many of which are covered in this text. These include simulation, optimization, finance, statistical mechanics, birth and death processes, Bayesian inference, quadrature, gambling systems and more.This text is for students of engineering, science, economics and mathematics who want to learn about Monte Carlo methods but have only a passing acquaintance with probability theory. The probability needed to understand the material is developed within the text itself in a direct manner using Monte Carlo experiments for reinforcement. There is a prerequisite of at least one year of calculus and a semester of matrix algebra.Each new idea is carefully motivated by a realistic problem, thus leading to insights into probability theory via examples and numerical simulations. Programming exercises are integrated throughout the text as the primary vehicle for learning the material. All examples in the text are coded in Python as a representative language; the logic is sufficiently clear so as to be easily translated into any other language. Further, Python scripts for each worked example are freely accessible for each chapter. Along the way, most of the basic theory of probability is developed in order to illuminate the solutions to the questions posed. One of the strongest features of the book is the wealth of completely solved example problems. These provide the reader with a sourcebook to follow towards the solution of their own computational problems. Each chapter ends with a large collection of homework problems illustrating and directing the material. This book is suitable as a textbook for students of engineering, finance, and the sciences as well as mathematics. The problem-oriented approach makes it ideal for an applied course in basic probability as well as for a more specialized course in Monte Carlo Methods. Topics include probability distributions, probability calculations, sampling, counting combinatorial objects, Markov chains, random walks, simulated annealing, genetic algorithms, option pricing, gamblers ruin, statistical mechanics, random number generation, Bayesian Inference, Gibbs Sampling and Monte Carlo integration.
Math Mammoth Grade 3 Tests and Cumulative Reviews
Math Mammoth Grade 3 Tests and Cumulative Reviews (2024 edition) includes consumable student copies of end-of-chapter tests, the end-of-year test, and additional cumulative review lessons that match the Math Mammoth Grade 3 curriculum. Please note: The book does not include the answer key. The answer keys for grade 3 are sold as a separate book.
Building a Foundation of Trust
In the modern society of the 21st century, science and technology are becoming increasingly em-bedded in the everyday life of people all around the world. Driggers (2011) stresses the importance of science and technology by pointing to the many times in history that these components have contributed to moving our society forward and how they will keep on doing so. Similarly, Fen-ster & Gopp (2020) emphasize the important role science plays, and will continue to play, for the continued development of our society, something they claim has become even more critical and apparent in 2020 as the Covid-19 pandemic is casting its shadow over the continents of the world. The term science is very broad. Obviously, the scientific community is vast and encompasses many different fields that all play important roles in shaping the world. Even though these fields are inherently different on many levels, they all work according to some basic principles that can be applied to all disciplines and branches of the scientific community. One example of these fundamental principles is openness: At its core, science depends upon openness and the "willing-ness of individual investigators to accept constructive criticism of work that has been conducted", primarily with the purpose to promote the advancement of knowledge (Committee on Science, Engineering, and Public Policy (U.S.). Panel on Scientific Responsibility and the Conduct of Research, 1992, p. 154).
Bayesian Inference
This book provides a comprehensive coverage of the fundamentals of Bayesian inference from all important perspectives, namely theory, methods and computations. All theoretical results are presented as formal theorems, corollaries, lemmas etc., furnished with detailed proofs.
Puzzle and Proof
This book is a compilation of the problems and solutions for the first ten years of the Utah Math Olympiad. The problems are challenging but should be understandable at a high school level. The book will be a fantastic resource for anyone who enjoys mathematical and/or logic puzzles.
Commutative Algebra Methods for Coding Theory
This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, since the early 90's, to study linear codes. The book provides the necessary background for the reader to advance with similar research on coding theory topics from commutative algebraic perspectives.
Math Mammoth Grade 6 Tests and Cumulative Revisions, International Version
Math Mammoth Grade 6 Tests and Cumulative Revisions (international version) contains the chapter tests, end-of-year test, and cumulative revision worksheets for Math Mammoth Grade 6 curriculum (international version). It does not contain answers; the answer key book may be purchased separately. This is the 2022 edition.
Math Mammoth Grade 6-B Worktext, International Version
Math Mammoth Grade 6-B worktext (International Version; 2022 edition) is the second part of a complete math curriculum for sixth grade, and part of the Math Mammoth Grade 6 complete curriculum. This book covers a revision of the four operations with whole numbers, beginning algebra concepts, decimal arithmetic, ratios, and percent.In this book, the main areas of focus are: prime factorization, GCF, and LCM;a revision of fraction arithmetic, plus division of fractions;the concept of integers, coordinate grid, addition & subtraction of integers;geometry: revision of quadrilaterals & drawing problems; area of triangles & polygons; volume of rectangular prisms with fractional edge lengths; surface area; statistics: concept of distribution, measures of centre, measures of variation, boxplots, histograms.A companion to this book, Math Mammoth Grade 6-A worktext covers the first half of 6th grade math (available separately). Also available are the answer keys and a book containing cumulative revisions and chapter tests.
Math Mammoth Grade 6 Answer Keys, International Version
This book includes answers for the Math Mammoth Grade 6-A and 6-B student worktexts (international version), for all the chapter tests, the end-of-year test, and for the cumulative revisions. This is the 2022 edition.
Math Mammoth Grade 6-A Worktext, International Version
Math Mammoth Grade 6-A worktext (International version, 2022 edition) is the student worktext for the first half of grade 6, and part of the Math Mammoth Grade 6 complete curriculum. This book covers a revision of the four operations with whole numbers, beginning algebra concepts, decimal arithmetic, ratios, and percent.The worktext contains both the necessary instruction and the problems and exercises (the 'text' and the 'work'; thus a "worktext"), and is for the most part self-teaching.The first chapter revises the four operations with whole numbers (including long division), place value and rounding. Students are also introduced to exponents. Chapter 2 delves into algebra topics, such as expressions and equations, inequalities and using two variables. Chapter 3 has to do with decimals, revising all of decimal arithmetic. Chapter 4 is about ratios, rates, unit rates, equivalent ratios and problem solving using bar models. In chapter 5, the goal is to develop a basic understanding of percent, to see percentages as decimals and to learn to calculate discounts. A companion to this book, Math Mammoth Grade 6-B worktext covers the second half of 6th grade math (available separately). Also available are the answer keys and a book containing cumulative revisions and chapter tests.
Beyond Michaelis-Menten
The Michaelis-Menten equation (MM) has been a pillar of enzyme kinetics for a century. "Beyond Michaelis-Menten: Modernizing the Equation for Enzyme Kinetics" explores the need to evolve our understanding of enzymes as research unveils their true complexity. Imagine a model that captures just a glimpse of a fascinating reality. While MM provides a valuable framework, it has limitations: - Simplified View: MM assumes a single substrate and a straightforward reaction path. Enzymes can interact with multiple substrates and exhibit intricate behaviors. - Hidden Dynamics: MM focuses on steady-state activity, neglecting the dynamic nature of enzymes within living cells. - Limited Predictive Power: Complexities like cooperativity (synergy between substrates) and allosteric regulation (indirect enzyme control) fall outside MM's scope. These limitations necessitate a more nuanced approach: - Incorporating Complexity: Modern models consider cooperativity, allosteric regulation, and other factors, providing a more accurate picture of enzyme behavior. - Capturing Dynamics: New techniques analyze enzyme activity in real-time, capturing the dynamic fluctuations that occur within cells. - Computational Approaches: Computational modeling allows scientists to simulate complex enzyme systems, leading to a deeper understanding of their functions. The benefits are far-reaching: - Drug Discovery: A more comprehensive understanding of enzyme behavior can lead to the design of more targeted and effective drugs. - Metabolic Engineering: By accurately modeling complex enzyme pathways, we can engineer them for more efficient biofuel production and other applications. - Unveiling Cellular Processes: A deeper understanding of enzyme dynamics offers insights into the intricate workings of living cells. While MM remains a valuable historical landmark, modernizing the equation is crucial for unlocking the full potential of enzyme research. By embracing complexity and dynamics, we can move beyond
Financial mathematics and the learning process
Interest rates, inflation, capitalization, discounts, compound interest, purchasing power, the constant amortization system (SAC), consumption and income are all topics that people come into constant contact with. However, there is some difficulty in understanding the subject and financial calculations. With this in mind, the aim of this paper is to address the process of learning financial mathematics in elementary school, in other words, to show how some financial mathematics topics have been approached in elementary school. To do this, we will analyze the didactic material offered by the Rio de Janeiro state school system. The research will be based on textbooks from the National Textbook Program (PNLD), the oldest of the programs aimed at distributing textbooks to students in the Brazilian public school system, according to the National Education Development Fund (FNDE). In this way, we will help to ensure that students, future citizens, make rational decisions based on an education system that uses appropriate material.
Walking the Resistance
"Walking the Resistance" isn't your typical hike through the woods. It takes you on a surprising journey that connects the seemingly unrelated worlds of random walks and electrical networks. This book explores the beautiful and powerful relationship between these two seemingly disparate concepts. Imagine a tiny particle taking random steps on a grid, like a lost hiker. "Walking the Resistance" shows how this random walk can be mapped to the flow of electricity in a network of resistors. By understanding the electrical properties of the network, we can predict the behavior of the random walk, and vice versa. This book delves into the mathematics behind this connection, but it doesn't get bogged down in technical jargon. It uses clear explanations and analogies to make the concepts accessible to a broad audience. Readers will discover how this connection has applications in various fields, from physics and computer science to finance and biology. "Walking the Resistance" is a mind-bending exploration that will change the way you see random walks and electrical networks.
The Geometry of Current
Delve into the hidden world that shapes our interconnected age with "The Geometry of Current: Unveiling the Hidden Structure of Networks." This book isn't about wires and cables; it's about the underlying mathematical beauty that governs how information flows through networks. Imagine social media platforms, power grids, or even the human brain as intricate geometric structures. "The Geometry of Current" explores how these seemingly complex systems can be understood through the lens of geometry and graph theory. By analyzing the connections within these networks, the book reveals hidden patterns and influences information flow. Readers will discover how network geometry can be used to predict everything from disease outbreaks to traffic congestion. "The Geometry of Current" isn't just about theory. It explores real-world applications, showcasing how understanding network geometry can help us design more efficient and resilient systems. It's a fascinating journey for anyone curious about the hidden forces that shape our interconnected world.
Math Mammoth Grade 5 Tests and Cumulative Revisions, International Version
Math Mammoth Grade 5 Tests and Cumulative Revisions (International Version) contains the chapter tests, end-of-year test, and cumulative revision lessons for Math Mammoth Grade 5 Complete Curriculum (International Version). Answers are not included; the answer key book may be purchased as a separate book.
Math Mammoth Grade 5-A Worktext, International Version
Math Mammoth Grade 5-A Worktext (International Version) is the student book for the first half of grade 5 mathematics, and part of the Math Mammoth Grade 5 complete curriculum. This book covers the four operations, large numbers and the calculator, problem solving, the first part of decimal arithmetic, and graphing.Being a worktext means the book contains both the necessary instruction and the problems and exercises (the 'text' and the 'work'), and is for the most part self-teaching.Features: Math Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the maths, not just learn "HOW" to do it.Concepts are often explained with visual models, followed by exercises using those models. These visual models can take the place of manipulatives for many children; however, it is very easy to add corresponding manipulatives to the lessons if so desired.The curriculum is mastery-oriented. This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much.There is a strong emphasis on mental maths and number sense.It requires very little teacher preparation ("open and go").The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext, and there also exist accompanying videos where you can see Maria herself teach the material.After each chapter introduction, you will find a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations and further practice.Please note this student book does not contain the answers. The answer key book is available separately.The other parts of Math Mammoth International Version Grade 5 curriculum are: grade 5-B student worktext, grade 5 answer keys, and grade 5 tests and cumulative revisions.
Math Mammoth Grade 5-B Worktext, International Version
Math Mammoth Grade 5-B Worktext (International Version) is the student book for the second half of grade 5 mathematics, and part of the Math Mammoth Grade 5 complete curriculum. This book covers decimal multiplication and division, fraction addition and subtraction, fraction multiplication and division, and geometry.This book starts with chapter 6, which continues our study of decimals. The focus is on multiplying decimals by decimals, dividing decimals by decimals, and conversions between measuring units. Chapter 7 covers the addition and subtraction of fractions - another focus topic of 5th grade besides decimals. In chapter 8, we study the multiplication and division of fractions from various angles. Chapter 9 takes us to geometry, starting with a review of angles and polygons. Then, students learn to classify triangles and quadrilaterals, and study the concept of volume in the context of right rectangular prisms (boxes).Being a worktext, the book contains both the necessary instruction and the problems and exercises (the 'text' and the 'work'), and is for the most part self-teaching.Features: Math Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the maths, not just learn "HOW" to do it.The curriculum is mastery-oriented. This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much.There is a strong emphasis on mental maths and number sense.It requires very little teacher preparation.The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext, and there also exist accompanying videos where you can see Maria herself teach the material.After each chapter introduction, you will find a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations and further practice.Please note this is a student book and does not contain the answers. The answer key book is available separately.The other parts of Math Mammoth Grade 5 curriculum are: grade 5-A student worktext, grade 5 answer keys, and grade 5 tests and cumulative revisions.
