The Didactic Triad in Trigonometry
The purpose of this book is to share the results obtained in the research carried out at the Faculty of Exact and Natural Sciences of the National University of Mar del Plata, regarding the knowledge and difficulties on basic aspects of Trigonometry of students taking Algebra in the first year of Bachelor's Degrees in Chemistry, Biochemistry, Physics and Mathematics, as well as on the approach to the subject of Trigonometry made by teachers of the sixth year of secondary schools in their classes during the pandemic. Likewise, a didactic sequence related to the subject is presented for the sixth year of Secondary School.On the other hand, an experience is reported on a first year class of the Faculty, using GeoGebra, whose objective is to reaffirm concepts related to the properties of the modules and arguments of Complex Numbers (a subject in which Trigonometry concepts are applied).
Quantum Leaps
How does Google know what you want to type? How did humans first reach the moon? Could we ever have a supercomputer the size of a pinhead? In this thrilling numerical journey, Hugh Barker explores how mathematics has helped to build the technology of today, and the fascinating ways it is shaping the future. From green energy to 3-D printing and from quantum cryptography to machine learning, High Tech Maths reveals the hidden mathematics in modern technology. Beautifully written and full of ingenious examples, this book will make you realise how the modern world be impossible without our formidable mathematical armoury.
Math Mammoth Grade 5 Answer Keys, International Version
This book includes answers for Math Mammoth Grade 5-A and 5-B student worktexts (International Version), for all of the chapter tests, and for the cumulative revisions.
Mathematics for Economics and Finance
Accessible, concise, and interactive, this book introduces the mathematical methods that are indispensable in economics and finance. Fully updated to be as student friendly as possible, this edition contains extensive problems, worked examples and exercises (with full solutions at the end of the book). Two brand new chapters cover coupled systems of recurrence/differential equations, and matrix diagonalisation. All topics are motivated by problems from economics and finance, demonstrating to students how they can apply the mathematical techniques covered. For undergraduate students of economics, mathematics, or both, this book will be welcomed for its clarity and breadth and the many opportunities it provides for readers to practise and test their understanding.
Mathematics for Economics and Finance
Accessible, concise, and interactive, this book introduces the mathematical methods that are indispensable in economics and finance. Fully updated to be as student friendly as possible, this edition contains extensive problems, worked examples and exercises (with full solutions at the end of the book). Two brand new chapters cover coupled systems of recurrence/differential equations, and matrix diagonalisation. All topics are motivated by problems from economics and finance, demonstrating to students how they can apply the mathematical techniques covered. For undergraduate students of economics, mathematics, or both, this book will be welcomed for its clarity and breadth and the many opportunities it provides for readers to practise and test their understanding.
Problems and Solutions in Mathematical Olympiad (Secondary 1)
The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.
Mathematics for Engineers - Volume 1
The Karlsruhe University of Applied Sciences started an English-language Bachelor's program in Electrical Engineering in 2021. In order to support our international students with appropriate material, this three-volume textbook was written. Taking into account that different students will attend different mathematics courses, we decided to design three volumes of a series of mathematics books, each part for a single semester.Mathematical terms are clearly motivated, systematically equated and visualized in many animations. Mathematical proofs are almost completely renounced. Instead, a lot of applications support not only the application of mathematics but also contribute to a better understanding of mathematics.Important formulas and statements are clearly highlighted in order to increase the readability of the books. More than 300 images and sketches support the character of modern textbooks. The color-coded layout provides a clear overview of the presentation of the content, e.g. by adding new terms and definitions in light grey, important statements and sentences in grey.
The Mystery of Space; A Study of the Hyperspace Movement in the Light of the Evolution of New Psychic Faculties and an Inquiry into the Genesis and Essential Nature of Space
The Mystery of Space; A Study of the Hyperspace Movement in the Light of the Evolution of New Psychic Faculties and an Inquiry into the Genesis and Essential Nature of Space, a classical book, was published more than a century ago and 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.
Problems and Solutions in Mathematical Olympiad (Secondary 1)
The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.
High-Dimensional Optimization
This book is interdisciplinary and unites several areas of applied probability, statistics, and computational mathematics including computer experiments, optimal experimental design, and global optimization. The bulk of the book is based on several recent papers by the authors but also contains new results. Considering applications, this brief highlights multistart and other methods of global optimizations requiring efficient exploration of the domain of optimization. This book is accessible to a wide range of readers; the prerequisites for reading the book are rather low, and many numerical examples are provided that pictorially illustrate the main ideas, methods, and conclusions. The main purpose of this book is the construction of efficient exploration strategies of high-dimensional sets. In high dimensions, the asymptotic arguments could be practically misleading and hence the emphasis on the non-asymptotic regime. An important link with global optimization stems from the observation that approximate covering is one of the key concepts associated with multistart and other key random search algorithms. In addition to global optimization, important applications of the results are computer experiments and machine learning. It is demonstrated that the asymptotically optimal space-filling designs, such as pure random sampling or low-discrepancy point nets, could be rather inefficient in the non-asymptotic regime and the authors suggest ways of increasing the efficiency of such designs. The range of techniques ranges from experimental design, Monte Carlo, and asymptotic expansions in the central limit theorem to multivariate geometry, theory of lattices, and numerical integration. This book could be useful to a wide circle of readers, especially those specializing in global optimization, numerical analysis, computer experiments, and computational mathematics. As specific recipes for improving set exploration schemes are formulated, the book can also be used by the practitioners interested in applications only.
Mathematics for Engineers - Volume 1
The Karlsruhe University of Applied Sciences started an English-language Bachelor's program in Electrical Engineering in 2021. In order to support our international students with appropriate material, this three-volume textbook was written. Taking into account that different students will attend different mathematics courses, we decided to design three volumes of a series of mathematics books, each part for a single semester.Mathematical terms are clearly motivated, systematically equated and visualized in many animations. Mathematical proofs are almost completely renounced. Instead, a lot of applications support not only the application of mathematics but also contribute to a better understanding of mathematics.Important formulas and statements are clearly highlighted in order to increase the readability of the books. More than 300 images and sketches support the character of modern textbooks. The color-coded layout provides a clear overview of the presentation of the content, e.g. by adding new terms and definitions in light grey, important statements and sentences in grey.
New Advances in Audio Signal Processing
In the era of digitalization, audio signal processing is gaining peculiar relevance as an automation and remote analysis means, also considering its enhancement by novel artificial intelligence (AI) techniques.This Reprint aims to offer an overview of the current developments in all fields that revolve around audio processing: from advancements in the acoustic domain to deep learning architectures for the audio-based analysis of real-world problems such as pitch detection or pathology identification.
Solving Spatial Metric Geometry Problems
The aim of this work is to propose an activity aimed at second-year high school students, with the aim of teaching some concepts of Spatial Metric Geometry, specifically calculating the areas and volumes of geometric solids such as cones, cylinders, spheres, pyramids and prisms, with the help of technology, using the GeoGebra software. In order to develop this activity, we looked at some trends in teaching and learning mathematics, focusing mainly on Problem Solving and Information and Communication Technology.
Advances in Radar Systems for Target Detection and Tracking
Radar systems can provide the all-weather and all-time detection and tracking of targets of interest, and they have been extensively applied by the remote sensing community, in applications such as geological exploration, disaster forecasting, traffic monitoring, urban planning, environmental sciences, hydrology, littoral zones, oceans, etc. This reprint contains the several advance research studies on radar systems for target detection and tracking. It includes multipath ghost suppression, maneuvering target tracking, target detection, and other topics.
Applied Statistical Modeling and Data Mining
This reprint comprises a compilation of 15 insightful research papers published in the Special Issue "Applied Statistical Modeling and Data Mining" within the Mathematics journal. Spanning multiple domains at the intersection of statistics, machine learning, and real-world applications, the collection presents diverse perspectives and innovative approaches in the field of applied statistical modeling and data mining. These selected papers explore diverse and important topics, including predictive modeling in healthcare, cybersecurity in transportation systems, data quality assessment, emergency call modeling, and innovative crime prevention strategies, among others. By covering a wide spectrum of subjects, this reprint serves as a valuable resource for researchers, academics, and practitioners interested in addressing contemporary challenges across diverse domains through statistical modeling, data mining, and machine learning applications.
Multivariate Analysis
Multivariate Analysis Comprehensive Reference Work on Multivariate Analysis and its Applications The first edition of this book, by Mardia, Kent and Bibby, has been used globally for over 40 years. This second edition brings many topics up to date, with a special emphasis on recent developments. A wide range of material in multivariate analysis is covered, including the classical themes of multivariate normal theory, multivariate regression, inference, multidimensional scaling, factor analysis, cluster analysis and principal component analysis. The book also now covers modern developments such as graphical models, robust estimation, statistical learning, and high-dimensional methods. The book expertly blends theory and application, providing numerous worked examples and exercises at the end of each chapter. The reader is assumed to have a basic knowledge of mathematical statistics at an undergraduate level together with an elementary understanding of linear algebra. There are appendices which provide a background in matrix algebra, a summary of univariate statistics, a collection of statistical tables and a discussion of computational aspects. The work includes coverage of: Basic properties of random vectors, copulas, normal distribution theory, and estimation Hypothesis testing, multivariate regression, and analysis of variance Principal component analysis, factor analysis, and canonical correlation analysis Discriminant analysis, cluster analysis, and multidimensional scaling New advances and techniques, including supervised and unsupervised statistical learning, graphical models and regularization methods for high-dimensional data Although primarily designed as a textbook for final year undergraduates and postgraduate students in mathematics and statistics, the book will also be of interest to research workers and applied scientists.
Data Management in Large-Scale Education Research
This book is for those involved in a research study involving original data collection. Whilst it focuses on quantitative data, collected from human participants, many of the practices covered apply to other types of data. It contains foundational context, instructions, and examples.
Real Analysis
This is a classical Real Analysis/Calculus problem book. This volume contains a huge number of engaging problems and solutions, as well as detailed explanations of how to achieve these solutions. This latter quality is something that many problem books lack, and it is hoped that this feature will be useful to students and instructors alike.
Numerical Approaches to Optimal Control
Optimal control has been widely applied to modern control systems design and has drawn great attention for decades. In the optimal control theory, the control problem is formulated as an optimization problem, and the control law is calculated by solv-ing the optimal control problem (OCP). Comparing with traditional control methods like PID control, optimal control is capable of providing an optimal control law in a systematic way. However, optimal control can achieve an analytic expression of the optimal control law only for some relatively simpler cases, for instance, unconstrained linear systems. Specifically, the optimal feedback control law for unconstrained linear systems with a quadratic cost function is in a simple linear form, and the optimal control gain is obtained by solving a Riccati equation. In practical systems, most of the physical plants are essentially nonlinear systems subject to physical constraints. For these cases, it is difficult to obtain an analytical solution to the optimal control problems. In order to find the optimum to an intractable optimization problem, ap-proximate solutions have to be taken into account.
Mathematics of Tabletop Games
This book provides a bridge between mathematics and hobby tabletop gaming. Readers interested in either mathematics or tabletop games will find this book an engaging way to begin exploring the other topic or the connection between the topics.
Mathematics of Tabletop Games
This book provides a bridge between mathematics and hobby tabletop gaming. Readers interested in either mathematics or tabletop games will find this book an engaging way to begin exploring the other topic or the connection between the topics.
Analyzing Baseball Data with R
Analyzing Baseball Data with R Third Edition introduces R to sabermetricians, baseball enthusiasts, and students interested in exploring the richness of baseball data. It equips you with the necessary skills and software tools to perform all the analysis steps.
Statistical Analyses for Criminal Justice and Criminology
This book is a how-to guide for statistical analyses designed for undergraduates and others new to the subject. It uses a conceptual framework, starting with the most basic concepts of statistics and moving up through the capacity to perform bivariate regression.
Bayesian Modeling of Spatio-Temporal Data with R
This book is designed to make spatio-temporal modeling and analysis understandable to students and researchers, mathematicians and statisticians and practitioners in the applied sciences. By avoiding hardcore math and calculus, this book aims to be a bridge that removes the statistical knowledge gap from among the applied scientists.
Parabolic Problems
This book collects the very best of the almost 1800 problems and puzzles published in Parabola magazine into a single volume. Many of the problems have been re-mastered, and new illustrations have been added. Topics covered range across geometry, number theory, combinatorics, logic, and algebra.
API Design for C++
API Design for C++, Second Edition provides a comprehensive discussion of Application Programming Interface (API) development, from initial design through implementation, testing, documentation, release, versioning, maintenance, and deprecation. It is the only book that teaches the strategies of C++ API development, including interface design, versioning, scripting, and plug-in extensibility. Drawing from the author's experience on large scale, collaborative software projects, the text offers practical techniques of API design that produce robust code for the long-term. It presents patterns and practices that provide real value to individual developers as well as organizations. The Second Edition includes all new material fully updated for the latest versions of C++, including a new chapter on concurrency and multithreading, as well as a new chapter discussing how Objective C++ and C++ code can co-exist and how a C++ API can be accessed from Swift programs. In addition, it explores often overlooked issues, both technical and non-technical, contributing to successful design decisions that produce high quality, robust, and long-lived APIs. It focuses on various API styles and patterns that will allow you to produce elegant and durable libraries. A discussion on testing strategies concentrates on automated API testing techniques rather than attempting to include end-user application testing techniques such as GUI testing, system testing, or manual testing.
Make: Math Teacher's Supplement
Make: Math Teacher's Supplement is the essential guide for teachers, parents, and other educators wanting to supplement their curriculum with Joan Horvath and Rich Cameron's Make: Geometry, Make: Trigonometry, and Make: Calculus books. This book is a companion to the three math books, and does not duplicate the content in them. Drawing on the authors' experience guiding both students and teachers, it covers: The philosophy behind the Make: math book series, including the key inclusion of universal design principles to make the material accessible to those who learn differently A list of topics, projects, and needed maker skills, tied to the math book chapters Key learning objectives and associated assessment ideas A practical primer on 3D printing in an educational environment Helpful tips to manage student 3D printed workflow Five specific examples of ways to use content from the math books, including studying geometry with castles and using LEGO bricks to demonstrate calculus concepts Packed with tips and links to online resources, Make: Math Teacher's Supplement will let you see how to build math intuition to create a solid base for your learner's future.
Math Mammoth Square Roots & the Pythagorean Theorem
Math Mammoth Square Roots & The Pythagorean Theorem is a relatively short worktext focusing on irrational numbers, square roots, and the Pythagorean Theorem and its applications.First, students learn about taking a square root as the opposite operation to squaring a number. They learn about irrational numbers, and how to find approximations to square roots both with a calculator and with a guess-and-check method. Students also practice placing irrational numbers on the number line, using mental math to find their approximate location.Next, the book has a review lesson on how to convert fractions to decimals. The following lesson has to do with writing decimals as fractions, and teaches a method for converting repeating decimals to fractions.Then it is time to learn to solve simple equations that involve taking a square or cube root, over the course of two lessons. After learning to solve such equations, students are now fully ready to study the Pythagorean Theorem and apply it.The Pythagorean Theorem is introduced in the lesson by that name. Students learn to verify that a triangle is a right triangle by checking whether it fulfills the Pythagorean Theorem. They apply their knowledge about square roots and solving equations to solve for an unknown side in a right triangle when two of the sides are given.Next, students solve a variety of geometric and real-life problems that require the Pythagorean Theorem. This theorem is extremely important in many practical situations. Students should show their work for these word problems to include the equation that results from applying the Pythagorean Theorem to the problem and its solution.There are literally hundreds of proofs for the Pythagorean Theorem. In this book, we present one easy proof based on geometry (not algebra). As an exercise, students are asked to supply the steps of reasoning to another geometric proof of the theorem. Students also study a proof for the converse of the theorem, which says that if the sides of a triangle fulfill the equation a2 + b2 = c2 then the triangle is a right triangle.Our last topic is distance between points in the coordinate grid, as this is another simple application of the Pythagorean Theorem.
Surveys in Geometry II
The book is the second volume of a collection which consists of surveys that focus on important topics in geometry which are at the heart of current research. The topics in the present volume include the conformal and the metric geometry of surfaces, Teichm羹ller spaces, immersed surfaces of prescribed extrinsic curvature in 3-dimensional manifolds, symplectic geometry, the metric theory of Grassmann spaces, homogeneous metric spaces, polytopes, the higher-dimensional Gauss-Bonnet formula, isoperimetry in finitely generated groups and Coxeter groups.Each chapter is intended for graduate students and researchers. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to important topics in geometry.
Applied Nonlinear Functional Analysis
The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.
Financial Data Analytics with R
This book is an exploration of statistical methodologies and their applications in finance. Readers are taken on a journey in each chapter through practical explanations and examples, enabling them to develop a solid foundation of these methods in R and their applications in finance.
Math Mammoth Grade 4-A Worktext, International Version
Math Mammoth Grade 4-A Worktext (International Version) is the student worktext for the first half of grade 4 mathematics, and part of the Math Mammoth Grade 4 complete curriculum. This book covers addition, subtraction, patterns, graphs, large numbers and place value, multi-digit multiplication, time, and measuring.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.Please note this is a student worktext and does not contain the answers.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, which is a big help to most parents.: )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.For multiplication tables and division facts, you can use our online practice program (free).The other parts of Math Mammoth Grade 4 (International Version) are: grade 4-B student worktext, grade 4 answer keys, and grade 4 tests and cumulative revisions.
Math Mammoth Grade 4 Answer Keys, International Version
This book includes the answers for the Math Mammoth Grade 4-A and 4-B (International Version) student worktexts, for all of the chapter tests, and for the cumulative revisions. The A and B worktexts, and a book containing the cumulative revisions, chapter tests and the end-of-the-year test may be purchased as separate books.
Math Mammoth Grade 4 Tests and Cumulative Revisions, International Version
Math Mammoth Grade 4 Tests and Cumulative Revisions (International Version) contains the chapter tests, end-of-year test, and cumulative revision lessons for Math Mammoth grade 4 complete curriculum. Note: this book does not contain answers. The answer key book for grade 4 may be purchased as a separate book.
Math Mammoth Grade 4-B Worktext, International Version
Math Mammoth Grade 4-B Worktext (International Version) is the student worktext for the second half of grade 4, and part of the Math Mammoth Grade 4 complete curriculum. This book covers division, geometry, fractions and decimals.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.Please note this is a student worktext and does not contain the answers. The answer key book is available separately.FeaturesMath 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, which is a big help to most parents.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.For multiplication tables and division facts, you can use our online practice program (free).The other parts of Math Mammoth International Version Grade 4 curriculum are: grade 4-A student worktext, grade 4 answer keys, and grade 4 tests and cumulative revisions.
Math Mammoth Grade 2 Answer Keys, International Version
This book includes the answers for the Math Mammoth International Version Grade 2-A and 2-B student worktexts, for all of the chapter tests, and for the cumulative revisions for grade 2. The other parts of the curriculum may be purchased separately.
Math Mammoth Grade 2-A Worktext, International Version
Math Mammoth Grade 2-A Worktext (International Version) is the student worktext for the first half of grade 2, and part of the Math Mammoth Grade 2 complete curriculum. This book, 2-A, covers some revision, even and odd numbers, doubling, reading the clock, addition and subtraction facts within 0 - 18, adding two-digit numbers, geometry and fractions. The rest of the topics for 2nd grade are covered in the student book 2-B. Please note: this is a student worktext and does not contain the answers. The answer key book is available separately.Being a worktext, the book 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.Some main features of Math Mammoth complete curriculum (Light Blue series) are: focuses on conceptual understanding;uses lots of visual models and pattern exercises;mastery-oriented, focusing at length on a topic;emphasizes mental maths and number senserequires little preparation from the teacher.This curriculum is essentially the same as the US version of Math Mammoth Grade 2, only customised for the international audience in these aspects: The currency used in the money chapters in grades 1-3 is the Australian dollar.The curriculum teaches the metric measurement units. Imperial units, such as inches and pounds, are not used.The spelling conforms to British international standards (British English).Page (paper) size is A4.Please note this is a student worktext and does not contain the answers. The answer key book is available separately.The other parts of Math Mammoth Grade 2 curriculum (International Version) are: grade 2-B student worktext, grade 2 answer keys, and grade 2 tests and cumulative revisions.
Optimization Problems in Transportation and Logistics
This educational guide will help students and practitioners seeking to understand the fundamentals and practice of linear programming. The exercises contained within demonstrate how to solve classical optimization problems with an emphasis on spatial analysis in supply chain management and transport logistics. All exercises describe the Python programs and optimization libraries that can be used to solve them. The first chapter introduces key concepts in linear programming and establishes a new cognitive framework to help students and practitioners set up each optimization problem. This cognitive framework organizes the decision variables, constraints, objective function, and variable bounds in a format that allows for direct application to optimization software. The second chapter introduces two types of mobility optimization problems (shortest path in a network and minimum cost tour) in the context of delivery and service planning logistics. The third chapter introduces four types of spatial optimization problems (neighborhood coverage, flow capturing, zone heterogeneity, service coverage) and provides a workflow for visualizing the optimized solutions in maps. The workflow creates decision variables from maps by using the free geographic information systems (GIS) programs QGIS and GeoDA. The fourth chapter introduces three types of spatial logisticsproblems (spatial distribution, flow maximization, warehouse location optimization) and demonstrates how to scale the cognitive framework in software to reach solutions. The final chapter summarizes lessons learned and provides insights about how students and practitioners can modify the Python programs and GIS workflows to solve their own optimization problem andvisualize the results.
Math Mammoth Grade 2 Tests and Cumulative Revisions, International Version
Math Mammoth Grade 2 Tests and Cumulative Revisions (International Version) contains the chapter tests, end-of-year test, and cumulative revision worksheets for Math Mammoth grade 2 complete curriculum. It does not contain answers; the answer key book may be purchased separately.
Math Mammoth Grade 2-B Worktext, International Version
Math Mammoth Grade 2-B International Version is the student worktext (in full color) for the second half of grade 2, and part of the Math Mammoth Grade 2 complete curriculum. This book covers three-digit numbers, measuring, regrouping in addition and subtraction, money (using Australian money) and the introduction to multiplication. The rest of the topics for 2nd grade are covered in the student book 2-A. Please note: this is a student worktext and does not contain the answers. The answer key book is available separately.Being a worktext, the book 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.Some main features of Math Mammoth complete curriculum (Light Blue series) are: focuses on conceptual understanding;uses lots of visual models and pattern exercises;mastery-oriented, focusing at length on a topic;emphasizes mental maths and number senserequires little preparation from the teacher.This curriculum is essentially the same as the US version of Math Mammoth Grade 2, only customised for the international audience in these aspects: The currency used in the money chapters in grades 1-3 is the Australian dollar.The curriculum teaches the metric measurement units. Imperial units, such as inches and pounds, are not used.The spelling conforms to British international standards (British English).Page (paper) size is A4.The other parts of Math Mammoth International Version Grade 2 curriculum are: grade 2-A student worktext, grade 2 answer keys, and grade 2 tests and cumulative revisions.
Math Mammoth Grade 1 Answer Keys, International Version
This book includes the answers for the Math Mammoth Grade 1-A and 1-B student worktexts (International Version), for all of the chapter tests, and for the cumulative revisions for grade 1. The other parts of the curriculum may be purchased as separate books.
Math Mammoth Grade 1 Tests and Cumulative Revisions, International Version
Math Mammoth Grade 1 Tests and Cumulative Revisions (International Version) contains the chapter tests, the end-of-year test, and cumulative revision worksheets for Math Mammoth Grade 1 curriculum. This book does not contain answers; the answer key book may be purchased separately.
Math Mammoth Grade 1-B Worktext, International Version
Math Mammoth Grade 1-B Worktext (International Version) is the student worktext for the second half of grade 1 mathematics studies. In this part B, the main areas of study are: addition and subtraction facts within 10;clock to the half hour;geometric shapes and measuring length;adding and subtracting within 100; andcounting coins (Australian currency).The worktext is in full color, and contains both the necessary instruction and the problems & exercises (the 'text' and the 'work'), and is for the most part self-teaching. It does not contain the answers.Features of the curriculum: 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. Requires very little teacher preparation, which is a big benefit to most teachers/parents.: ) 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. For addition and subtraction facts, you can use our online practice program (free). A companion to this book, Math Mammoth Grade 1-A worktext, covers the first half of 1st grade maths (available separately). Also available are the answer keys and a book containing cumulative revisions and end-of-chapter tests.
Math Mammoth Grade 1-A Worktext, International Version
Math Mammoth Grade 1-A Worktext (International Version) is the student worktext for the first half of grade 1 mathematics studies. In this part A, the main areas of study are: The concepts of addition and subtraction;strategies for addition and subtraction facts; anddeveloping understanding of whole number relationships and place value till 100.The worktext is in full color, and contains both the necessary instruction and the problems & exercises (the 'text' and the 'work'), and is for the most part self-teaching. It does not contain the answers.Features of the curriculum: 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. Requires very little teacher preparation, which is a big benefit to most teachers/parents.: ) 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. For addition and subtraction facts, you can use our online practice program (free). A companion to this book, Math Mammoth Grade 1-B worktext, covers the second half of 1st grade maths (available separately). Also available are the answer keys and a book containing cumulative revisions and end-of-chapter tests..
