Maths and Technologies in Teaching Practice
This book shows through existing literature how information and communication technologies (ICT) are used as a form of production in the school environment and how those involved in the process make use of these tools in teaching practice. As it is a new tool, it is necessary to encourage older teachers to use these new means in order to achieve excellence, as the Internet can help with guided school research, as well as the use of numerous software programmes to support teachers and students. The book demonstrates the use of ICT and seminars in maths and other subjects.
The Perfect Handbook for Science
Embark on a captivating journey through the vast realms of science with our comprehensive handbook, meticulously crafted to be your perfect companion. Whether you're a curious novice or a seasoned enthusiast, this book is designed to unlock the mysteries of the universe and deepen your understanding of the natural world. Discover the wonders of physics, unravel the complexities of chemistry, explore the intricacies of biology, and delve into the mysteries of astronomy and earth sciences. Each chapter is expertly curated to provide clear explanations, captivating illustrations, and practical insights into key scientific concepts. Navigate effortlessly through our alphabetical index, ensuring quick access to a wealth of topics-from Acids and Bases to Quantum Mechanics, from Genetics to Plate Tectonics. Thematic groupings further enhance accessibility, guiding you through interconnected fields such as ecology, space exploration, and mathematical foundations. So lets take a leap of faith towards this profound and legible book.
Applied Mathematics
This book aims to provide a basic and self-contained introduction to Applied Mathematics within a computational environment. The book is aimed at practitioners and researchers interested in modelling real world applications and verifying the results.
Lattice Path Combinatorics and Special Counting Sequences
This book endeavors to deepen our understanding of lattice path combinatorics, to explore key types of special sequences, to elucidate their interrelations, and at the same time to advocate the author's interpretation of the "combinatorial spirit".
The World through the Lens of Mathematics
This amazing book aims to shatter the barrier between students and mathematics. By encouraging students to look at mathematics from a different perspective, build a bridge between their surroundings and mathematics and, at the same time, enrich them with the culture, history, customs, and geography of different parts of the world.
Advanced Guidance and Control of Flight Vehicle
The application of advanced guidance and control to missiles, hypersonic vehicles, and unmanned aerial vehicles has long represented a research hotspot in academia, and the development of more advanced and intelligent guidance and control technology for flight vehicles has become a focus of research in recent years. In this reprint, studies on the mathematical theory and application of flight vehicle guidance and control are presented. This includes trajectory optimization, online planning, advanced intermediate guidance theoretical methods, terminal guidance theoretical methods, intercept guidance and pursuit and escape guidance, and other topics.
Mathematical Modelling and Numerical Analysis in Electrical Engineering
This special issue focuses on the mathematical modelling and numerical analysis methods employed in electrical engineering applications. The 11 manuscripts included utilize various analytical and computational techniques such as parameter modelling methods and numerical analyses to solve engineering problems in domains such as electric motors, power systems. One of these papers investigates line-start permanent magnet synchronous motors and explores the starting performance when parameters such as the supply voltage and cable length are varied; in addition, simulation and experimental methods are employed to characterize the motor behavior. Another study employs the finite element modelling technique to study the electric field distributions for lightning rod design. Additionally, optimization techniques such as the Nelder-Mead algorithm are applied to optimize a synchronous homopolar motor. Mathematical and numerical analyses of the induction and flux-switching motors are also presented. Transient simulations of the starting and synchronization processes, which incorporate the lumped parameter motor models of a line-start permanent magnet synchronous motor, are also undertaken. Other studies employ accurate models that have been developed for adjustable permanent magnet couplers, external magnetic fields and switched reluctance motors. Validation using finite element analyses and experiments demonstrates the feasibility and superiority of the proposed modelling approaches. The broad range of topics addressed reflects the extensive application of analytical techniques in electrical engineering research.
AI Empowered Sentiment Analysis
With the popularity of the social media, a large amount of user-generated content, such as comments, is emerging, which is crucial for all industries. Recently, the development of deep learning and computing power have made it possible to handle complex data. However, there are still some including (but are not limited to): (1) How can we construct a multi-modal sentiment analysis framework? (2) How can we accurately extract aspect-sentiment quadruples? (3) How can we generate fine-grained sentiment text? To tackle these challenges, this Special Issue focuses on multi-modal sentiment analysis, aspect-sentiment extraction, interpretability, and so on. In the following, we briefly summarize the selected two papers that we believe will make significant contributions. (1) "Generative Aspect Sentiment Quad Prediction with Self-Inference Template" by Li et al., considered that current research predominantly confines templates to single sentences, limiting the model's reasoning opportunities. Therefore, the authors introduce a self-inference template (SIT) to guide the model in thoughtful reasoning. (2) "Interpretability in Sentiment Analysis: A Self-Supervised Approach to Sentiment Cue Extraction" by Sun et al., proposes a new sentiment cue extraction (SCE) self-supervised framework, aimed at improving the interpretability of models. In conclusion, we extend our heartfelt appreciation to all the authors and reviewers who selflessly put their energy to ensure the successful completion of this Special Issue.
How to Write & Do Proofs
This Study Guide has been teaching students how to write & do proofs for over 30 years. This text provides an excellent approach for teaching students how to read, understand, and do proofs. The various examples and techniques explains when each technique is likely to be used, based on certain key words that appear in the problem under consideration. Doing so enables students to choose a technique based on the form of the problem. The goal is to enable students to learn advanced mathematics on their own. This book is suitable as: (1) a text for a transition-to-advanced-math course, (2) a supplement to any mathematics course, and (3) self-guided teaching.
Think Like a Molecule
Despite their complex structures, molecules most likely do not take time to ponder the ways they fit into the big scheme of things. They just are. But when zillions of molecules bond into organized, functional systems, we get everything, including you and me - and some seven billion others. Chuck Champlin, a writer, journalist, and a former Walt Disney Co. communications executive, seeks inspiration via deep imaginative journeys into the infinitely vast and invisibly tiny realms of the cosmos in this small book with a big message. In observing molecular assemblies, we can see that physically matter came together, possibly all on its own, to create life and thinking minds. It is profound that our minds, perhaps born from accidental creativity, can intentionally assemble marvelous new things. To think like a molecule is to be aware of the physical foundations in matter that have given rise to our thoughts - and from there, it's onward into the realm of pure imaginations and the twinkling stars of our infinite potential.
Math for English Majors
In this trailblazing work from the internet's most empathetic math teacher, Ben Orlin unravels the secrets behind the world's most confounding language. Math, it is said, is the "universal language." But if a language brings people together, why does math make so many of us feel so alone? In Math for English Majors, bestselling author Ben Orlin (Math with Bad Drawings) offers fresh insights for the mathematically perplexed and mathematical masters alike. As Orlin reveals, the "universal language" is precisely that: a language. It has nouns (numbers), verbs (calculations), and grammar (algebra). It has funny idioms ("exponential"), quirky etymologies ("squaring"), and peculiar ambiguities ("PEMDAS"). It even has its own form of literature, with equations ranging from the simple wisdom of A2 + B2 = C2 to the startling profundity of eπi + 1 = 0. Along the way, he shares relatable stories of his own mathematical misunderstandings and epiphanies, as well as the trials and triumphs of his students. And, as always, he sheds further light and levity on the subject with his inept--yet strangely effective--drawings.
The Secret Formula
The legendary Renaissance math duel that ushered in the modern age of algebra The Secret Formula tells the story of two Renaissance mathematicians whose jealousies, intrigues, and contentious debates led to the discovery of a formula for the solution of the cubic equation. Niccol簷 Tartaglia was a talented and ambitious teacher who possessed a secret formula--the key to unlocking a seemingly unsolvable, two-thousand-year-old mathematical problem. He wrote it down in the form of a poem to prevent other mathematicians from stealing it. Gerolamo Cardano was a physician, gifted scholar, and notorious gambler who would not hesitate to use flattery and even trickery to learn Tartaglia's secret. Set against the backdrop of sixteenth-century Italy, The Secret Formula provides new and compelling insights into the peculiarities of Renaissance mathematics while bringing a turbulent and culturally vibrant age to life. It was an era when mathematicians challenged each other in intellectual duels held outdoors before enthusiastic crowds. Success not only enhanced the winner's reputation, but could result in prize money and professional acclaim. After hearing of Tartaglia's spectacular victory in one such contest in Venice, Cardano invited him to Milan, determined to obtain his secret by whatever means necessary. Cardano's intrigues paid off. In 1545, he was the first to publish a general solution of the cubic equation. Tartaglia, eager to take his revenge by establishing his superiority as the most brilliant mathematician of the age, challenged Cardano to the ultimate mathematical duel. A lively account of genius, betrayal, and all-too-human failings, The Secret Formula reveals the epic rivalry behind one of the fundamental ideas of modern algebra.
Advanced Mathematical Modeling with Technology
Mathematical modeling is both a skill and an art and must be practiced in order to maintain and enhance the ability to use those skills. This book will be of interest to instructors and students offering courses focused on discrete modeling or modeling for decision making.
Separation of Variables and Exact Solutions to Nonlinear PDEs
The book is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear PDEs. It also presents the direct method of symmetry reductions and its more general version.
Asymptotic formulas in the Esterman problem
This monograph is a study in analytical number theory, related to the field of the theory of short trigonometric sums, and its applications to classical additive problems with more stringent conditions, namely, when the terms are almost equal. Short trigonometric sums that arise when solving additive problems with almost equal terms were first studied by I. M. Vinogradov. The relevance and appropriateness of this monograph are determined by the fact that it- studied the behavior of G. Weyl's short trigonometric sums of the formT(α, x, y)=∑_(x-yin large arcs;- the results obtained made it possible to find an asymptotic formula for the number of representations of a sufficiently large natural number as a sum of three almost equal terms, two of which are prime numbers, and the third is the fourth power of a natural number.
Advances in Modal Logic 15
Since ancient times, philosophers have recognised that truth comes in many 'modes', so that a proposition can be not only true or false, but also, for example, 'necessary' or 'possible'. These ideas led to the modern field of modal logic, a lively area of research at the interface of philosophy, mathematics and computer science. Nowadays, the term 'modal logic' is understood in a broad sense, allowing it to encompass logics for reasoning about seemingly unrelated phenomena such as knowledge, obligations, time, space, and proofs, among many others. Contemporary research in modal logic draws on techniques from many disciplines, including complexity theory, combinatorics, universal algebra, category theory, topology, and proof theory. These proceedings record the papers presented at Advances in Modal Logic 2024, the 15th in a series of biennial conferences that aim to report on important new developments in pure and applied modal logic. Topics in this issue include epistemic modal logic, constructive and many-valued modal logic, unification, algebraic and neighbourhood semantics, proof theory and complexity of modal logics, conditional and quantified modal logic.
Mathematical Innovation
The transition to a competency-based approach in mathematics education is based on the need for students to acquire competencies that go beyond mere theoretical knowledge. This approach focuses on the practical application of knowledge, developing in students the ability to solve problems, think critically and work in teams. Traditional assessment, based on written tests, has proven to be insufficient to measure these competencies effectively. In contrast, competency-based assessment methods, such as performance tests and projects, allow for a more holistic and contextualized assessment of student learning. Gamification, on the other hand, defined as the use of game elements in non-game contexts, has gained popularity as a pedagogical strategy in teaching and learning. This strategy is based on the premise that gaming can make learning more attractive and motivating for students, gamification allows teachers to adapt their strategies to the needs and preferences of students, awakening their love and interest for the subject.
Direct and Inverse Spectral Problems for Ordinary Differential and Functional-Differential Operators
This reprint contains a collection of research papers on spectral theory for differential and functional differential operators. Spectral theory plays a fundamental role in mathematics and has applications in various fields of science and engineering, e.g., in quantum and classical mechanics, geophysics, acoustics, and electronics. The collection includes recent studies on a variety of topics such as analytical and numerical methods for solving direct and inverse spectral problems, new developments in the theory of partial differential equations, pseudo-differential equations with fractional derivatives, asymptotical analysis for solutions of differential equations, spectral theory for abstract operators in Hilbert spaces, and inverse nodal problems.
Application of Artificial Intelligence Methods in Processing of Emotions, Decisions and Opinions
During recent years, social infrastructure has become irreversibly linked to the Internet through its everyday manifestations, such as social networking services (Twitter, Facebook, etc.). Every second, this new tangible information-based reality provides large amounts of data filled with 1) emotional expressions; 2) people's opinions on various topics; and 3) their reasoning, revealing their decision-making processes. As these three categories are also closely interrelated with each other, they should be studied together to obtain a more robust view on all of the topics involved. This, as never before, provides an opportunity for the development and application of natural language processing methods, in particular those regarding such topics as emotion processing, decision-making, and opinion mining.
Machine Learning for Pattern Recognition
In recently arisen digital age, machine learning technology has made huge significant progress, revolutionizing applications in fields such as image recognition, speech processing, and natural language processing. These technologies have not only changed our daily lives, but have also had a profound impact on medicine, finance, transportation and other fields. However, pattern recognition, as an important branch of machine learning, still faces many challenges and problems. This reprint brings together contributions from leading experts in their fields. Each paper provides valuable insights into the latest trends, methods, and challenges in state-of-the-art applications of machine learning for pattern recognition. In addition, the research in each paper not only showcases the latest advancements in machine learning algorithms but also discusses their successful applications and the challenges encountered in real-world scenarios. As editors, we are honored to present this reprint, and we hope that readers, whether they be researchers, engineers, and students, will find inspiration and guidance in these papers as they explore the growing field of machine learning for pattern recognition. We express our gratitude to the authors for their outstanding contributions, to the reviewers for their critical evaluation, and to the assistant editor Mr. Musea Wu for his enthusiastic help. We are also sincerely grateful to our readers, whose curiosity and enthusiasm continue to drive innovation in this exciting field.
Every Tree is a Subtree of a Graceful Unicyclic Graph
A decomposition of a graph K into a set of graphs {G1, G2, ..., Gt} is a partition (E1, E2, ..., Et) of E(K) such that ∼= Gi, for i,1
Reciprocity and contrapositive in the Pythagorean theorem
The reciprocal of the Pythagorean theorem is the same as explaining that a triangle is right-angled. For example, consider a triangle whose lengths are 3, 4 and 5. To explain that this triangle is a right-angled triangle, we need to use the reciprocal of the Pythagorean theorem. On the one hand, we have 32+42=9+16=25. On the other hand, it's true that 52=25. So 32+42=52 and, by the reciprocal of the Pythagorean theorem, it's a right-angled triangle. If we want to explain that a triangle is a right-angled triangle, we need to sum the squares of the two shortest lengths and check whether this sum is equal to the square of the longest side.
A Treatise on the Theory of Invariants
A Treatise on the Theory of Invariants, a classical book, has been considered important throughout the human history, and so that this work is never forgotten we at Alpha Editions have made efforts in its preservation by republishing this book in a modern format for present and future generations. This whole book has been reformatted, retyped and designed. These books are not made of scanned copies of their original work and hence the text is clear and readable.
Preparing for Calculus
The book will enable the reader to assess their readiness for calculus. It provides a review and practice with the math needed for early success in a calculus course.High school, home-schooled and college students who face calculus as their next math course will benefit from this book.
Maths in Construction
This work is the result of Marcelo Azevedo de Souza's dissertation in natural sciences and maths at the University of Blumenau (FURB) - Blumenau/Santa Catarina - Brazil. The main purpose of this book is to show readers, teachers and students of youth and adult education and ethnomathematics researchers, that the everyday mathematics used in construction can be related to the mathematics taught in schools and that both can go hand in hand in an organised way, with the aim of developing excellence in the teaching and learning of this subject. The subjects chosen in this book are varied and come from the student's everyday life, so they can be applied in any classroom in basic and higher education. The book features a brief introduction, explaining the choice of topic, general and specific objectives, the structure of each chapter, followed by creative and challenging activities, a timetable for application, research methods, data collection, resources to be used, mathematical games for the construction industry, and finally, tips for future application.
Formal Methods Teaching
This book constitutes the proceedings of the 6th International Workshop on Formal Methods Teaching, FMTea 2024, which was held in Milan, Italy, on September 10, 2024. The 7 full papers included in these proceedings were carefully reviewed and selected from 9 submissions. The book also contains one invited talk in full paper length. The papers focus on learning formal methods for the purpose of teaching and self-learning.
Information Theoretic Measures
Communication system is vital for message transmission, affected by noise. Researchers contribute to improving communication. Information theory development is significant, enhanced by C. E. Shannon's work. Shannon model encodes and decodes messages. Researchers generalize information measures for various applications. This book focuses on information theoretic measures, their analysis and applications. Information measures are applied in data mining, including weighted residual information measure. Classification methods and results are compared for improvement. Information theoretic measures in ID3 algorithm find information gain as splitting criteria for data. ID3 algorithm applied to census 2011 data of India to classify attributes into States and Union Territories. Decision tree made using Renyi entropy, rules developed to decide project implementation region. Varma entropy based ID3 algorithm used to analyze health services in India up to 2015. C4.5 algorithm applied on same data with discrete attribute values to develop decision tree. Weighted generalized residual information measure of order α and type β developed as extension of information theoretic measures.
Teaching Knowledge and Inclusive Mathematics Education
"Even with the advances in Brazilian legislation related to Inclusive Education, the daily practice of schools and teacher training courses is still a long way from what is desirable. In the specific case of teaching mathematics to deaf students, despite the obligation to have interpreters in schools and the subject of Libras in degree courses, the scenario is not very different. Training teachers to work in this scenario is an urgent task, both in degree courses and in spaces dedicated to continuing education. The purpose of this book, which is the result of qualitative research, is to analyse the possible contributions of an extension course to the mobilization of teaching knowledge related to the inclusion of deaf students in Mathematics classes in regular classes".(...) Viviane C.Costa*
Enhancing Security in Fuzzy Networks Through Efficient Domination
Let G(V, E) be a finite simple connected graph of order m with vertex set V and edge set E. A dominating set S ⊆ V(G) is called an efficiently dominating set if, for every vertex u ∈ V(G), N[u] ∩ S = 1, where N[u] denotes the closed neighborhood of the vertex. Using efficient domination techniques and labeling, we constructed the different types of fuzzy networks. An algorithm has been framed to encrypt and decrypt the secret information present in the network. The mathematical modeling of a strong type of fuzzy network is defined and constructed to elude the burgeoning intruder. Using the study of efficient domination on types of fuzzy graphs, this domination parameter plays a nuanced role in encrypting and decrypting the framed network. The main purpose of types of fuzzy network are encryption and decryption, our contributions to this research is to build a novel combinatorial technique to encrypt and decrypt the built-in fuzzy network with a secret number utilizing effective domination. An illustration with an appropriate secret message is provided, along with the encryption and decryption algorithms.
Introduction to Calculus
Introduction to Calculus provides a comprehensive introduction to fundamental concepts in calculus and their applications, covering all of Calculus 1 and some of Calculus 2. The book starts with functions and limits, followed by differential calculus, and then moves on to integral calculus and a brief discussion of differential equations. It ends with the complete solution for a sample exam based on the AP Calculus AB course. Students can access a free, interactive ebook version of the text using a URL provided inside the print version. Further supplemental materials, including videos, practice problems, exercises and quizzes, are available online in the companion Wolfram U course.
Boundary Value Problems on Time Scales, Volume I
This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area.
Transition to Advanced Mathematics
This unique and contemporary text not only offers an introduction to proofs with a view towards algebra and analysis, a standard fare for a transition course, but also presents practical skills for upper-level mathematics coursework and exposes undergraduate students to the context and culture of contemporary mathematics.
Statistics and reality in students' daily lives
Statistics is a part of applied mathematics that studies methods for collecting, organising, analysing and interpreting data, since its study is aimed, among other things, at decision-making. So we have to experience it so that we can understand it better without skipping any steps. In this way we will better interpret and consequently improve the skills and competences that, although important, should not be measured only through a written test, but through the application of a concept constructed and experienced by the student in everyday life. Statistics therefore seeks situations in which problem-solving is meaningful for the student and mobilises their cognitive resources. According to the PCN's (2002), the teaching of mathematics can help students develop skills related to representation, comprehension and investigation, as well as socio-cultural contextualisation. This means placing students in a teaching-learning process that values mathematical (statistical) reasoning and also enables the teacher to work on content in an interdisciplinary way and broaden the understanding of its meanings, thus contributing to the formation of knowledge.
Mathematics Success Mantra
"I aspire to be a good human teacher who possesses wisdom to teach my students, and show them that I genuinely care, and am concerned with their learning, a good human teacher who cannot be replaced by technology. As the old saying goes... "Give a man a fish, and you feed him for a day." I myself identify the despite of efforts, some students struggle to secure good results. I believe that the key to success lies in applying hard work correctly. The plethora of books which available today can often confuse students, . They putting them in a tough spot. Are these books truly beneficial? It's doubtful.After much consideration, I've decided to publish a book that caters to all types of students. I have intentionally focused on presenting fundamental ideas and equations. Mastering these basic concepts and principles will help students achieve top grades. However, in this competitive environment, securing good grades is crucial.Here are my recommendations for problem-solving: *Read the problem thoroughly;*Understand what is being asked of you;*Gather relevant concepts and formulae;*Apply them to the problem;*Draw diagrams when necessary.I believe that the fundamental ideas, rules, and equations are essential for solving most problems. This is why I introduced the book 'Mathematics Success Mantra.' I hope 'The Success Mantra' will be well-received and beneficial to all students.I dedicate this book to Sri J.R.L.V. Sharma, my math teacher, who has been a significant influence on my life. He transformed me from an average student into a successful math teacher, and Ravi Kumar kothapalli, the author of maths books.I have worked diligently to ensure this book is error-free. However, some printing errors may still be present. I would greatly appreciate it if you could inform me of any errors you find. We welcome constructive feedback and suggestions for improvement, which will be included in the next edition.-Ravi Kumar kothapalli
Artificial Intelligence and Deep Learning in Sensors and Applications
The aim of this reprint is to address increasingly complex human problems by utilizing various sensors to collect data, enabling the formulation of solutions through deep learning and artificial intelligence (AI). This trend creates a high demand for sensors while presenting new challenges in developing sensor devices and applications across various fields, such as healthcare, manufacturing, agriculture, transportation, construction, and environmental monitoring. For instance, in environmental monitoring, AI-integrated sensors rapidly analyze large datasets to identify real-time patterns and trends, enhancing weather forecasting accuracy by gathering data from multiple sources. In industrial settings, AI-enhanced sensors optimize manufacturing by monitoring equipment health, predicting failures, and proactively scheduling maintenance. This reprint compiles contributions on AI and sensor technology, sharing ideas, designs, applications, and deployment experiences across various fields, including smart manufacturing, construction, autonomous vehicles, traffic monitoring, object recognition, image classification, speech processing, and human behavior analysis.
Mathematics for Business Decisions
Mathematics for Business Decisions has been prepared for the students who want to learn mathematics and mathematical calculations from elementary level to advance level successively. The more specialty of this book is that, all the definitions are described with easy way and relevant examples to develop the theoretical knowledge of the students and the mathematical calculations have been presented meticulously with step by step of every part so that any student can figure out independently at home effortlessly. Finally, by studying this book, students will be able to decide how to pricing the products and services after analyzing all the costs and then calculating the gross or net profit. Also they will able to calculate all the business taxes and the actual business profit after deduction of all the taxes and other deductions. In addition, the knowledge gathering from this book helps improving decision making about different aspects of business such as costs, raw materials, marketing, advertising, strategies for the short and long term etc. and analyzing unforeseen situations and making decisions in favour of the company.
The Little Book of Math Into English
This colorful and concise little book is uniquely tailored for those who write mathematical texts at any level and are eager to improve their English writing skills. The easy-to-read guide focuses on helping the writer avoid common English mistakes in mathematical writing. With just a few minutes of engaging, light reading each day, the reader will learn to create clearer, more readable, math texts. The book covers 23 crucial topics, ranging from correct article and preposition usage to proper usage of dashes, conjunctions, and prepositions. It also addresses the construction of direct sentences, effective introductory phrases for formulas, and more. As a bonus to the reader, 'Practice makes perfect' exercises relating to each topic are freely accessible on this book's Springer website. Appendix A gives a quick tutorial on grammatical terms and constructs. Appendix B looks at ChatGPT and the positive aspects of its powerful capabilities. Additionally, Paul Halmos's article on 'How to write mathematics' is included in Appendix C. It deals with the mathematical aspects of writing.
Expertise Scilab
Embark on a comprehensive journey into the world of Scilab, a powerful open-source software for scientific computing and data visualization. This meticulously crafted guide will equip you with the essential knowledge and skills to harness Scilab's capabilities for a wide range of computational tasks. This book is primarily intended for graduate, and postgraduate students especially scholars working in any domain of computation techniques. In the author's opinion, the finest software package for solving engineering problems is MATLAB, which is capable of conducting advanced mathematical and engineering computations whose versatility has transformed the personal computer industry. This book is intended to teach the student/reader how to use MATLAB through the use of practical examples. MATLAB is a software package that needs to be purchased for use. This is one of the reasons why Scilab exists. Scilab is currently being developed for programmers who wish to totally migrate their work to an open-source platform but are willing to amend their MATLAB files if necessary. This document contains Scilab commands, functions, and statements that are executable. The author makes no claim to content or style originality but has taken care to present the material clearly and sequentially with detailed discussion.
Boundary Value Problems on Time Scales, Volume II
This book is devoted to the qualitative theory of boundary value problems on time scales. It summarizes the most recent contributions in this area.
Modeling Change and Uncertainty
This book offers a problem-solving approach. The authors introduce a problem to help motivate the learning of a particular mathematical modeling topic. The problem provides the issue or what is needed to solve using an appropriate modeling technique.
The Elements of Advanced Mathematics
This edition offers a more instructive Preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included.
Ergodic Theory and Related Topics
No detailed description available for "Ergodic Theory and Related Topics".
A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients
No detailed description available for "A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients".
Numerical Analysis of Selected Semilinear Differential Equations
No detailed description available for "Numerical Analysis of Selected Semilinear Differential Equations".
An Introduction to the Distance Laplacian Spectra of Graphs
In this book, we determine the distance Laplacian spectra of graphs obtained by various graph operations.We first obtain the distance Laplacian spectrum of the join of two graphs in terms of adjacency spectra. Then we obtain the distance Laplacian spectrum of the join of two graphs in which one of the graphs is a union of two graphs. Finally, we obtain the distance Laplacian spectrum of the generalized join of graphs. We then find the universal adjacency spectra of the join of two regular graphs with distinct degrees and the join of two regular graphs in which of the graphs is a union of two regular graphs in terms of adjacency spectra of the constituent graphs and an auxiliary matrix. We obtain the distance Laplacian spectrum of Indu-Bala product of graphs in terms of their Laplacian spectra. We then obtain the distance signless Laplacian spectrum of Indu-Bala product of graphs in terms of their signless Laplacian spectra. Finally, we prove that the distance energy of the complete split graph always increases when an edge is deleted from it.
