Examining the Challenges and New Methods
The importance and necessity of evaluation in the process of educational activities can be examined from two perspectives. The first point of view is related to the planner or teacher. In fact, in planning teaching and making decisions during educational activities, in order to obtain reliable information on the preparation and academic progress of learners and the effectiveness of their classroom activities through evaluation, the teacher finds information and awareness about three categories. These categories include: A) Problems and deficiencies in the elements of the educational plan (goals, content, methods, materials and educational tools); B) The level of academic progress of learners and their preparation for further education and C) The efficiency of teaching and the adequacy of the tools used in measuring the academic progress of learners. The second point of view is related to learners. In such a way that through evaluation, learners are encouraged to develop their positive aspects and solve their educational deficiencies with the help and guidance of the teacher, while being aware of the positive and negative aspects of their performance in learning.
Scalar Conservation Laws
This book are notes prepared for the PhD courses that the author has been teaching during the last 10 years. The material available in the already existing literature (papers and essays) has been collected in this unique text, presenting the results with all the details for the reader's convenience, fixing a unified notation, and providing a consistent framework for the subject. These notes cover many of the arguments that usually can be found in high level essays, where the proofs are simply sketched, and in papers, which are not easily available and not always self-contained.This book is intended for1. PhD students in Mathematics, Physics and Mechanical Engineering in order to learn the basic features of nonlinear scalar equations, 2. researchers interested in nonlinear hyperbolic PDEs in order to learn the details behind some known and deep results on nonlinear scalar equations, 3. teachers of courses on nonlinear PDEs.The readers are expected to know the basic measure theory and Sobolev spaces.
Fixed Point Results on Various Metric Spaces with Applications
This book "Fixed Point Results on Various Metric Spaces with Applications" aims to present advanced results in fixed point theory that expand upon, enhance, and generalize classical and recent findings in this field. It also explores various research avenues within the metric fixed-point theory. It offers opportunities for more investigation and serves as a readily available reservoir of information. This book is suitable for young researchers interested in pursuing research in fixed-point theory. It provides the latest advancements in the field, offering new techniques for proving the existence of various types of fixed points, such as fixed points, fixed interval circles, fixed discs, coincidence points, common fixed points, coupled common fixed points, quadruple fixed points, quadruple coincidence points and common quadruple fixed points. These tech In addition to conventional applications, it provides innovative applications that can be used to solve integral equations and Homotopy Theory. The book is both self-contained and unified, making it an invaluable resource for researchers seeking innovative ideas. It will be a valuable addition to the library.
Fixed Point Theorem in Different Spaces
The development of computers has led to the emergence of numerous scientific and technological fields of study. At the same time as it has replaced and replicated the uses of mathematics in science and technology, it has also highlighted a lot of issues with mathematical theories. Functional analysis and topology are closely linked topics that were discussed before. The fixed point theorem has emerged as a key instrument for research in both mathematics and other branches of management science and technology. The purpose of our research is to illuminate the novel features of fixed point theorems in various spaces with regard to applications. Our study aims to uncover innovative aspects of Banach fixed point theorems or Banach contraction theorem in different metric spaces such as TVS-Cone metric space, c distance in cone metric space, c -complete complex valued metric space, complex valued b-metric space and Modular metric space . Henceforth, it has become a very important study for correlating and coordinating various aspects of fixed point theorems.
New Directions in Term Logic
The systematic account of deductive reasoning and the development of a formal logic to reveal the principles of such reasoning began with Aristotle's syllogistic. It was a term logic, a logic that dominated the field until the rise of modern predicate logic at the end of the Nineteenth century. That system quickly supplanted the old logic of terms. However, in the middle of the Twentieth century Fred Sommers took up the challenge to build a revised and strengthened term logic, one fit to challenge the hegemony of predicate logic. The aim was to devise a formal logic that could better serve as the logic of natural language.In recent years a new group of logicians have taken this version of term logic into many new directions. This book presents here for the first time some of the best examples of their work with new essays by philosophers, logicians, mathematicians, computational theorists, and historians of logic. The topics addressed include relative terms, logical copulation, Aristotelian diagrams, modality, truth, semantics, epistemic term logic, non-classical quantifiers, and more.
Foundations and requirements of teacher preparation
At the international level, Angola's results in the Mathematics Olympiads are very poor, and at the national level, in Huambo province, these competitions are not developed with the required systematicity. This is largely due to the existence of theoretical and methodological gaps in the teachers' training process.This book provides the fundamentals and requirements for the preparation of teachers in order to improve their performance in the development of the mathematics Olympiads.
Mathematics and problem solving
Problem-solving in early childhood education is both possible and fantastic. This paper aims to provide motivation for educators in the field and others interested in the subject. The approach is based on my experience as an educator in the field of mathematics, which every day results in various learning experiences and arouses interest and the need for research into the teaching of mathematics in early childhood education and the search for effective methodologies.
Debt Dance
Debt Dance: A Global Journey Through Fiscal Tightropes" takes you on a whirlwind tour of government borrowing around the world. It explores the reasons why countries, from emerging economies to established powers, choose to take on debt. You'll discover how these borrowed funds can be used to invest in infrastructure, social programs, or stimulate economic growth. But this book isn't all about the tango. It also delves into the delicate balancing act - the very real risks of excessive debt. We'll explore concepts like inflation, how debt can crowd out private investment, and the burden placed on future generations. "Debt Dance" uses engaging explanations and global examples to shed light on the complex world of sovereign debt. It's a must-read for anyone curious about how nations manage their finances in an interconnected world.
Introduction to the Structure of Groups
One of the major and vital concerns that occupies the central positions in Mathematic is the theory of groups.The origin of group theory can be traced to the ardent desire and attempt to determine solutions to some trending problems.Knowledge of groups now plays indispensable roles in such areas like coding theory, counting and the study of symmetries.It is notable to know that biology, chemistry and physics are mutual areas which have greatly benefited from the study and theory of groups.
Mathematical Biology
Rich in applications, this text can be used for a semester-long course in differential equations or mathematical biology or serve as a companion text for a 2-semester sequence beginning with discrete time systems, through a wide array of topics in differential equations, culminating in systems, SIR models, & other applications.
Decomposing G = ( V, E ) into Planar Graphs
This book is our attempt to answer the question, "Is it possible to decompose any graph G with n vertices, lacking any specific symmetry of the underlying structures?" This book presents a solution to this question by developing iterative techniques in an intuitive, simple, and visual way without losing the essence of the underlying mathematics. We trust that this method of decomposing any graph into known subgraphs will open new directions in graph decomposition. This book will be of interest to researchers in graph theory and discrete mathematics.
Fundamentals and Principles of Differential Calculus
Differential calculus is a pivotal concept in mathematics and computer science, focusing on techniques to analyze how variations in input parameters influence mathematical quantities or computational results. This book presents a differential calculus theoretical framework and practical applications, emphasizing its significance across various disciplines. This work delves into the study of derivatives differentials. It provides a formalized approach to quantifying rates of change and conducting sensitivity analysis, underscoring the relevance and utility of differential calculus in diverse fields.
The mathematical knowledge of miners in the Matup獺 region
This paper describes an investigation based on Ethnomathematics. This approach, based on its remarkable and comprehensive approach, seeks to demonstrate the ways in which a more productive and lasting teaching practice can be implemented. The aim is to reveal the mathematical knowledge preserved by the miners who live on the outskirts of the municipality of Matup獺-MT, particularly those who did not attend school until the end of secondary school.
2021-2022 High School Contest Materials
This book contains one year of mathleague.org high school tests and answer keys: 7 qualifying-level test sets, one state-level test set, and one national-level test set. Each test set contains a Sprint, Target, Team, and Relay test. Three of the test sets also contain a Power Question.
Studies on Some Aspects of Difference Sequence Spaces
In the book we have introduced various new sequence spaces in different chapters which generalize many known spaces introduced by several mathematicians. First chapter of this book is the introduction, where as Chapter-II to VI provide certain new classes of difference sequence spaces via Orlicz function. The last chapter is devoted to calculate the spectral sub-divisions of forward difference operator of order "r".
Changing methodologies for better maths learning
This research aims to analyse the potential of the connection between Mathematical Modelling and constructivism and its contribution as a methodology in pedagogical practices in the classroom in the teaching-learning process in General Secondary Education (1st Cycle) at Matola Secondary School. This study came about as a result of the realisation that the pedagogical practices in place in the majority of schools do not respond to current social demands, as students are limited to receiving the knowledge transmitted by the teacher without criticising it, which compromises the quality of education and their skills. In view of this, the use of mathematical modelling combined with the constructivist approach contributes to an effective teaching practice, making students active, reflective, participative and capable of producing their own knowledge.
Incidence of Technology as a Pedagogical Tool
Technologies have revolutionized education, transforming the way we learn and teach, allowing us to explore their impact on the different levels of curricular concretion, at the macro curricular level: the general objectives, the competencies to be developed and the evaluation criteria are established at a global level, by integrating technologies the teaching strategies are enhanced and fostering the acquisition of digital competencies necessary in today's society; at the meso-curricular level, the specific contents, teaching, learning and evaluation strategies for each particular area or subject are detailed, having as resources the educational platforms such as videos, animations and presentations enrich the educational content and facilitate the understanding of the concept; at the micro-curricular level, the daily activities are planned, defining the didactic resources to be used, the evaluation criteria are established at the level of the didactic units, the technology will improve the interaction in the classroom and personalize the learning process.
Mathematical modelling Use of public transparency
Teaching maths isn't just about asking students to solve complicated problems, it's about giving them the thoughts, methods and logical reasoning, as well as providing them with the ability to deal with the exact science, giving some the opportunity to choose to follow this marvellous universal path. This book, which is innovative in its teaching ideas due to the encouragement of new technologies, recalls the history of maths teaching and enables the reader to understand why it is necessary to move forward with the use of the most up-to-date resources. It shows the step-by-step process of setting up games or working with mathematical modelling and provides examples that will make it easier for the teacher to understand what is proposed and then work not just with small inspectors, but with curious people with unlimited interests. Learners, who have already been synchronised for a long time, will certainly have the intention of continuing the human legacy on planet Earth. The use of Transparency made available by public bodies during the Modelling games brings the lessons into the reality where the future citizen must act wisely and confidently in the proper understanding of Mathematics. It makes the lesson fun and interesting, and helps solve problems.
Difficulties in understanding and using rational numbers
This work is concerned with the development of science and technology. It aims to investigate how we can contribute to minimizing the countless situations that interfere with the development of fractional activities in EJA - Youth and Adult Education, and to research the development of strategies for working with tools that can act by enabling and making EJAI students feel more comfortable with rational numbers.
The Challenge of Computing Homotopy Groups
In the grand tapestry of mathematics, topology stands out for its unique approach to geometric shapes. It doesn't care about size or angles, but rather how spaces can be continuously deformed into one another, like stretching a clay model without tearing or gluing separate pieces. This seemingly abstract concept holds immense power, unlocking hidden properties of shapes and revealing a universe beyond our everyday perception of space. One of the central ideas in topology is the notion of a homotopy group. Imagine a loop drawn on a surface, like a circle on a sphere or a square on a plane. Homotopy groups classify these loops based on how they can be continuously deformed into one another without breaking the loop or letting it touch the edge of the surface. Intuitively, a loop that can be shrunk to a point without leaving the surface represents a "trivial" element in the group. More intricate loops that cannot be shrunk but can be continuously deformed into each other belong to the same class within the group.
Teacher Noticing of Pre-Service and In-Service Secondary Mathematics Teachers
In light of increasing demands on teachers and the need to develop teaching-related competences, this book examines the situation-specific skill of teacher noticing in pre-service and in-service secondary mathematics teachers. A video-based test instrument is used to measure teachers' noticing skills in perception, interpretation, and decision-making from both general and mathematics pedagogical perspectives. The aim is to understand the structure and characteristics of teacher noticing across different groups, as well as the influences of teaching experience and opportunities to learn. Three quantitative studies are conducted: two cross-sectional studies with 457 participants, including master's students, early career teachers, and experienced teachers, and one longitudinal study with 175 master's students. The results support the conceptualization of teacher noticing as comprising three facets. They also reveal positive influences of teaching experience on the development of teacher noticing, with in-service teachers outperforming master's students. However, experienced teachers perform similarly to early career teachers in general and worse in certain areas, suggesting saturation or forgetting effects. The longitudinal study finds that interpretation skills facilitate the development of perception and decision-making, emphasizing the knowledge-based nature of teacher noticing.
The Mathematical Field
The arithmetic, algebraic and geometric applications can be seen by human beings in:
The Mathematical Field
The arithmetic, algebraic and geometric applications can be seen by human beings in:
AP Precalculus
AP Precalculus: Student Edition is a collection of lessons and activities for every topic in the AP Precalculus course that will be assessed on the AP exam. Each lesson or activity comes with a homework assignment with questions similar to those that will appear on the AP exam. A corresponding teachers' guide and solutions manual, AP Precalculus: The Teacher's Compendium, is available separately.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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).
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 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).
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.
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.
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.
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.
