Elliptic Partial Differential Equations Elementary Viewpoint
This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate or graduate course.The book considers many important issues such as existence, regularity, qualitative properties, and all the classical topics useful in the wide world of partial differential equations. It also includes applications with interesting examples.The structure of the book is flexible enough to allow different chapters to be taught independently.The book is friendly, welcoming, and written for a newcomer to the subject.It is essentially self-contained, making it easy to read, and all the concepts are fully explained from scratch, combining intuition and rigor, and therefore it can also be read independently by students, with limited or no supervision.
Cleaning Up the Human Skeleton and Genome
This is a work traversed by scientific and technical themes in which the indispensable irrationality interacts: African Art and Spirituality (an element of stability in any science so that the latter does not cross the boundaries of ethics, morality... I reread this precious thesis with great interest, during which it is not so easy to tackle all the themes, analyses and reflections. The skilful and ingenious researcher Audrey KIBAMBA had a head start, for he constructed his thesis in such a way that all the themes dealt with converged like guidelines towards the same vanishing point. In biology, we know that bacteria cooperate, exchange information, evolve and even advance their ability to evolve. Ants do the same. Human beings must do the same too, to evolve better in this fast-paced, dizzying world. This world is making spectacular progress in many areas, and we are in the midst of a major transition in our evolution.
Semitopology. Decentralised Collaborative Action via Topology, Algebra, and Logic
We develop semitopologies, a new topological structure which gives a mathematical foundation to heterogeneous, decentralised, permissionless, computing systems. Semitopologies help to model consensus problems that commonly arise in designing cutting-edge peer-to-peer, blockchain, and other decentralised systems; especially when different such systems need to interact. Points correspond to participants in the system, and open sets correspond to the ways in which participants can cooperate.This text is aimed at mathematicians and advanced students interested in a new topology-adjacent field with strong practical applications; and at engineers working to build decentralised systems who could use a mathematical foundation for designing the relevant tools. It aims to offer pleasant surprises and new ideas for researchers; and for practitioners, it aims to help build the next generation of better, safer, more scalable decentralised systems.
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.
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.
Geometry of Crystallographic Groups (Second Edition)
It is eleven years since the First Edition of Geometry of Crystallographic Groups appeared. This Second Edition expands on the first, providing details of a new result of automorphism of crystallographic groups, and on Hantzsche-Wendt groups/manifolds.Crystalographic groups are groups which act via isometries on some n-dimensional Euclidean space, so-named because in three dimensions they occur as the symmetry groups of a crystal. There are short introductions to the theme before every chapter, and a list of conjectures and open projects at the end of the book.Geometry of Crystallographic Groups is suitable as a textbook for students, containing basic theory of crystallographic groups. It is also suitable for researchers in the field, discussing in its second half more advanced and recent topics.
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.
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.
Algebraic Systems
No detailed description available for "Algebraic Systems".
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.
An Introduction to Panel Data QCA in R
This book discusses and compares four different approaches towards analyzing panel data in QCA. It introduces QCA as a research approach, then discusses the most important assumptions, and steps like set-calibration and theory-testing, and demonstrates each of the four panel data approaches.
Fundamentals of Probability
Praise for the fourth edition: "This book is an excellent primer on probability .... The flow of the text aids its readability, and the book is indeed a treasure trove of set and solved problems. --Dalia Chakrabarty, Brunel University, UK "This textbook provides a thorough and rigorous treatment of fundamental probability, including both discrete and continuous cases. The book's ample collection of exercises gives instructors and students a great deal of practice and tools to sharpen their understanding." --Joshua Stangle, University of Wisconsin - Superior, USA This one- or two-term calculus-based basic probability text is written for majors in mathematics, physical sciences, engineering, statistics, actuarial science, business and finance, operations research, and computer science. It presents probability in a natural way: through interesting and instructive examples and exercises that motivate the theory, definitions, theorems, and methodology. This book is mathematically rigorous and, at the same time, closely matches the historical development of probability. Whenever appropriate, historical remarks are included, and the 2096 examples and exercises have been carefully designed to arouse curiosity and hence encourage students to delve into the theory with enthusiasm. New to the Fifth Edition: In this edition, a significant change has been made in the order of material presentation. The topics such as the joint probability mass function, joint probability density functions, independence of random variables, sums of random variables, the central limit theorem, and certain other materials have been covered earlier in the book, enabling students to grasp these crucial concepts from the start. These changes have considerable merit, particularly the idea of covering the celebrated central limit theorem immediately after discussing the normal distribution. Additionally, discussions on sigma fields are provided and an in-depth section on characteristic functions is added. The central limit theorem has been proven using both moment-generating functions and characteristic functions. In the present edition, numerous new figures are included that were drawn for the first time, specifically to aid in students' understanding of the material. These fresh illustrations, along with all the previous ones in the book, have been meticulously crafted by the technical support team at CRC. Instructors who prefer the content arrangement used in previous editions can still teach the material in the same order as those editions. Moreover, the homepage of this book contains a whole chapter with comprehensive coverage on Stochastic Processes as well as additional contents for Chapters 1 to 10, such as extra examples, supplementary topics, and practical applications to facilitate in-depth exploration. Furthermore, it offers thorough solutions for all self-tests and self-quiz problems, empowering students to assess their progress and grasp of this demanding subject. In this new edition, at the end of select chapters, sections are included dedicated to exploring approximate solutions for complex probabilistic problems using simulation techniques. These simulations are conducted using the R software, a powerful tool well-suited for probabilistic simulations due to its extensive collection of built-in functions and numerous specialized libraries designed for various simulation purposes. In the homepage of the book, a chapter, titled "Algorithm-Driven Simulations," is presented in which we delve deeply into the concept of simulation using algorithms exclusively, without being tied to any specific programming language.
Trustworthy Artificial Intelligence for Healthcare
This book constitutes the proceedings of Second International Workshop on Trustworthy Artificial Intelligence for Healthcare, TAI4H 2024, held in Jeju, South Korea, in August 2024, in conjunction with the International Joint Conference on Artificial Intelligence, IJCAI 2024. The 13 full papers included in this book were carefully reviewed and selected from 21 submissions. They focus on trustworthy artificial intelligence, healthcare, generalization, explainability, fairness, privacy, multi-modal fusion, foundation models.
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.
Differential Geometry
This textbook offers a different approach to classical textbooks in Differential Geometry. It includes practical examples and over 300 advanced problems designed for graduate students in various fields, such as fluid mechanics, gravitational fields, nuclear physics, electromagnetism, solid-state physics, and thermodynamics. Additionally, it contains problems tailored for students specializing in chemical, civil, and electrical engineering and electronics. The book provides fully detailed solutions to each problem and includes many illustrations to help visualize theoretical concepts. The book introduces Frenet equations for plane and space curves, presents the basic theory of surfaces, and introduces differentiable maps and differentials on the surface. It also provides the first and second fundamental forms of surfaces, minimal surfaces, and geodesics. Furthermore, it contains a detailed analysis of covariant derivatives and manifolds. The book covers many classical results, such as the Lancret Theorem, Shell Theorem, Joachimsthal Theorem, and Meusnier Theorem, as well as the fundamental theorems of plane curves, space curves, surfaces, and manifolds.
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.
Weighted Morrey Spaces
This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals. A functional analytic framework for Muckenhoupt-weighted Morrey spaces in the rough setting of Ahlfors regular sets is built from the ground up and subsequently supports a Calder籀n-Zygmund theory on this brand of Morrey space in the optimal geometric environment of uniformly rectifiable sets. A thorough duality theory for such Morrey spaces is also developed and ushers in a never-before-seen Calder籀n-Zygmund theory for Muckenhoupt-weighted Block spaces. Both weighted Morrey and Block spaces are also considered through the lens of (generalized) Banach function spaces, and ultimately, a variety of boundary value problems are formulated and solved with boundary data arbitrarily prescribed from either scale of space. The fairly self-contained nature of this monograph ensures that graduate students, researchers, and professionals in a variety of fields, e.g., function space theory, harmonic analysis, and PDE, will find this monograph a welcome and valuable addition to the mathematical literature.
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.
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*
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.
Game-Theoretical Models in Biology
Covering the major topics of evolutionary game theory, this book presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. The text is also useful to biologists.
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.
Introduction to Probability and Statistics
This book aims to be a manual for understanding problems in probability and statistics. The main emphasis is the random variables (discrete and continuous), their distributions, the basics of statistics, the law of large numbers, the central limit theorem, statistical models, least squares estimation, confidence intervals for the mean, testing hypothesis, and statistics with datasets.The book is aimed at junior students in the field of applied mathematics, physics, computer engineering, economics, artificial intelligence, and data science & analytics in science and engineering disciplines.
Handbook of Complex Analysis
The Handbook of Complex Analysis will be an entree for advanced undergraduates and beginning graduate students in the subject of complex analysis. The subject of complex analysis of increasing importance. Even the function theory of several complex variables has seen applications in cosmology, geophysics, and engineering.
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.
An Introduction to Scientific Computing with MATLAB(R) and Python Tutorials
This textbook covers essential numerical techniques including basic methods for linear systems, root finding, interpolation, numerical integration and differentiation, least squares and Monte Carlo methods. This book balances the development, implementation, application and analysis of computational ideas and methods.
Differential Geometry of Curves and Surfaces
The book explains the reasons for various definitions. The interactive applets offer motivation for definitions, allowing students to explore examples, and give a visual explanation of complicated theorems. More elementary exercises are added and some challenging problems are moved later in exercise sets to assure more graduated progress.
Applied Statistical Modelling for Ecologists
**2025 PROSE Award Finalist in Environmental Science** Applied Statistical Modelling for Ecologists provides a gentle introduction to the essential models of applied statistics: linear models, generalized linear models, mixed and hierarchical models. All models are fit with both a likelihood and a Bayesian approach, using several powerful software packages widely used in research publications: JAGS, NIMBLE, Stan, and TMB. In addition, the foundational method of maximum likelihood is explained in a manner that ecologists can really understand. This book is the successor of the widely used Introduction to WinBUGS for Ecologists (K矇ry, Academic Press, 2010). Like its parent, it is extremely effective for both classroom use and self-study, allowing students and researchers alike to quickly learn, understand, and carry out a very wide range of statistical modelling tasks. The examples in Applied Statistical Modelling for Ecologists come from ecology and the environmental sciences, but the underlying statistical models are very widely used by scientists across many disciplines. This book will be useful for anybody who needs to learn and quickly become proficient in statistical modelling, with either a likelihood or a Bayesian focus, and in the model-fitting engines covered, including the three latest packages NIMBLE, Stan, and TMB.
Partial Differential Equations
Designed for a one-semester course, this text provides a bridge between the standard PDE course for undergraduate students in science and engineering and the PDE course for graduate students in mathematics who are pursuing a research career in analysis.
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
Introduction to Advanced Engineering Mathematics and Simulation
Introduction to Advanced Engineering Mathematics and Simulation in MATLAB Applications Approach has been prepared for instructors, learners and researchers interested in Advanced Engineering Mathematics and Simulation. The resource has emphasis on practical problems formulation and solving in Engineering. Interest is specifically guiding on developing solutions using the mathematical formulas and codes in MATLAB.
Algebraic Topology
This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences. The focus is on examples and computations, and there are many end of chapter exercises and extensive student projects.
Probability Theory and Statistics with Real World Applications
The idea of the book is to present a text that is useful for both students of quantitative sciences and practitioners who work with univariate or multivariate probabilistic models. Since the text should also be suitable for self-study, excessive formalism is avoided though mathematical rigor is retained. A deeper insight into the topics is provided by detailed examples and illustrations. The book covers the standard content of a course in probability and statistics. However, the second edition includes two new chapters about distribution theory and exploratory data analysis. The first-mentioned chapter certainly goes beyond the standard material. It is presented to reflect the growing practical importance of developing new distributions. The second new chapter studies intensively one- and bidimensional concepts like assymetry, kurtosis, correlation and determination coefficients. In particular, examples are intended to enable the reader to take a critical look at the appropriateness of the geometrically motivated concepts.
Normal 2-Coverings of the Finite Simple Groups and Their Generalizations
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.
Fundamentals of Fourier Analysis
This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variables. It provides sufficient content for a two course sequence in Fourier Analysis or Harmonic Analysis at the graduate level. In true pedagogical spirit, each chapter presents a valuable selection of exercises with targeted hints that will assist the reader in the development of research skills. Proofs are presented with care and attention to detail. Examples are provided to enrich understanding and improve overall comprehension of the material. Carefully drawn illustrations build intuition in the proofs. Appendices contain background material for those that need to review key concepts. Compared with the author's other GTM volumes (Classical Fourier Analysis and Modern Fourier Analysis), this text offers a more classroom-friendly approach as it contains shorter sections, more refined proofs, and a wider range of exercises. Topics include the Fourier Transform, Multipliers, Singular Integrals, Littlewood-Paley Theory, BMO, Hardy Spaces, and Weighted Estimates, and can be easily covered within two semesters.
From Numbers to Knowledge
This book explores the transformative journey of data analysis, beginning with foundational concepts like data collection and cleaning, progressing through exploratory techniques such as descriptive statistics and data visualization, and culminating in advanced methodologies including inferential statistics, predictive modeling, and machine learning. It emphasizes the importance of data quality, effective analysis techniques, and the application of insights to drive informed decision-making across various domains. Through practical examples and case studies, it equips readers with the tools and knowledge to harness the power of data for meaningful impact and innovation.
Math Mammoth Grade 8 Tests and Cumulative Reviews, Canadian Version
Math Mammoth Grade 8 Tests & Cumulative Reviews (Canadian version) contains the chapter tests, end-of-year test and cumulative reviews for Math Mammoth Grade 8 complete curriculum (Canadian version).
Geographic Information, Geospatial Technologies and Spatial Data Science for Health
In this book, epidemiology and public health are integrated with spatial data science to examine health issues in dynamically changing environments. This is too broad a field to be covered in one book and so it has been necessary to be selective with the topics, methods and examples.
Modern Statistics with R
The past decades have transformed the world of statistical data analysis, with new methods, new types of data, and new computational tools. Modern Statistics with R introduces you to key parts of this modern statistical toolkit.
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.
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.
