Mathematics - General

Dear Readers and Parents, This Review Notes and Practice Workbook is intended to prepare students to exceed in the classroom and in the next grade levels. The book is systematically organized to include all types of mathematical problems in the sixth grade level. Each...

In this book, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved. The established results herein augment several significant work in...

The book provides the reader with the basic tools needed to tackle the study of economics, statistics and financial mathematics in a bachelor university course.The approach to the several topics is intuitive and many numerical examples are presented.Author: Giovanni QuarantaISBN-13: 9798495377073Publisher: Independently PublishedLanguage: EnglishPublished:...

These are the homework sets and exam sets for the course Reinforced Concrete Design II that was taught by Dr. Peter I. Kattan. These homework and exam sets are a follow-up volume to the successful volume Reinforced Concrete Design II Lecture Notes that is...

This is a little book for students who wish to have the essential formulas and equations of water resources and environmental engineering in a single easily accessible source. In about 40 pages, the 100 most essential civil engineering formulas are listed. Unlike other large...

These are the homework sets and exam sets for the course Structural Analysis I that was taught by Dr. Peter I. Kattan. These homework and exam sets are a follow-up volume to the successful volume Structural Analysis I Lecture Notes that is available online...

Hyperdimatry is a groundbreaking exploration into the nature of higher-dimensional spaces, combining rigorous mathematics, philosophy, and metaphysical inquiry to uncover the mysteries of dimensions beyond our familiar 3D world. The term "Hyper-" refers to dimensions beyond our familiar 3D world, while "dimatry," combining "dimension"...

Reactive PublishingFractal Strategies for Financial MarketsMarkets aren't linear. They breathe, ripple, and break - driven by feedback loops, irrational behaviors, and self-similar patterns that defy traditional models.Chaos & Capital is your guide to decoding the hidden geometry of the financial world through the lens...

Grade 4 Math Activities: Volume 1 The Grade 4 Math Activities series is a comprehensive, two-volume set designed to fully engage and support students in mastering Grade 4 math concepts. To facilitate a thorough understanding, we have split the material into two volumes, each...

Author: Helbert Justo Luque ZevallosISBN-13: 9798283279695Publisher: Independently PublishedLanguage: EnglishPublished: 05/09/2025Pages: 464Format: PaperbackWeight: 2.35lbsSize: 11.00h x 8.50w x 0.94d

The Fundamentals of Banach Space Theory: A Primer for Advanced Students This book provides a streamlined introduction to Banach space theory, a central component of functional analysis. Stemming from Stefan Banach's seminal 1932 publication, ""Linear Operator Theory,"" this discipline has expanded significantly, influencing fields...

Transfinity is the realm of numbers larger than every natural number. This book presents the foundations of transfinite set theory, reviewing a vast amount of material covering all aspects, from its creator Georg Cantor to modern theory. Most importantly, the great difference between potential...

Inequalities are essential for comprehending the behavior of rational functions while studying them. This book looks into some inequalities for rational functions that have constrained zeros and predefined poles. We find some intriguing results, specifically about the connection between s-fold zeros at the origin...

In this publication, which is the result of many years of research, the author presents an innovative approach to square-free and radical factorizations, which is a generalization of classical factorizations. The problem of factoring numbers into prime factors is familiar to many, but often...

This book provides a concise introduction to the analysis of Banach space operators within the framework of Hilbert space theory. The guiding notion in this approach is that of operator properties. At the same time the notion of function of an operator is emphasized....

Set Theory is a formalization of the existence and fundamental properties of mathematical objects as collections of elements and/or elements included in collections. Its formulation is so basic and comprehensive that it has been postulated as the foundation of all mathematics. Perhaps, the major...

The main purpose in this book is to represent some recent researches of Santilli iso-mathematics in the area of the plane geometry. This book is devoted to the iso-plane geometry. It summarizes the most recent contributions in this area. The book is intended for...

Graph labeling is one of the most conspicuous research areas in graph theory and the history of graph labeling can be traced back to 1967. As well as graph labeling techniques are widely used in almost every field such as in the medical field,...

These notes have been written with the precisely purpose of summarizing the more often encountered and implemented volatility estimation techniques, to describe the realized volatility surface and its term structure, for example in developing Option Pricing libraries. The common and accepted assumptions behind the...

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....

Words are strings of letters from a fixed alphabet. Sets of words are said to be formal languages. Natural languages, but also programming languages, are examples of such formal languages. On the set of all words the concatenation is a binary associative operation which...

Queuing theory have wide range of applications that helps a person in making right decision in complex queuing system encountered in daily life. Queuing theory deals with the study of queues that occurs in real world situations and arise when the rate of arrival...

Outliers have been regarded as the noisy data in statistics which have now turned out to be an important problem and are now been researched in diverse fields and application domains. Outlier detection has been in core interest of not only the statisticians but...

Queuing theory has become most important discipline of Operation Research. In real world we are facing queues everywhere around us. Sometimes we see very complex type of queue networks. This book includes three complex types of queue network models. These queue network models has...

Time-delay systems occupy a place of central importance in all areas of science. Time-delays are often related to Physico-chemical processes, electric networks, hydraulic networks, heredity in population growth, the economy, and other related industries. Such time-delay systems can be represented by delay differential equations,...

Patterns are one of the fundamental subjects of mathematics. Therefore, it has an important place in mathematics teaching. It is started by explaining to the students with repetitive shapes from preschool or first grade. In the first years when students meet the patterns, they...

The internationalization of mathematics education has become an inevitable trend, and bilingual education is the booster to realize the internationalization of mathematics education. For the freshmen majoring in science and engineering, it is not realistic to choose the first-year mathematics basic courses such as...

Peter Chew theorem is AI age knowledge because the theorem can help convert all Quadratic Surds . In addition, the theorem can help convert easier and faster than current method. Applying Peter Chew theorem in AI age calculator, PCET calculator can help the calculator...

In the present days of competition among modern industries all are vying for standing in the market for best name and fame of their products production best in quality and design at the lowest cost while keeping optimum values of all the system parameters....

The specific word reliability= re + liability implies repeated liability in view of different breakdowns and failures of the system. The words 'reliability and reliable' are very commonly utilized by all of us, in our day by day life, showing the level of trust...

A numerical integration may also be soaked or unsaturated as the liquid or partly filled fills each of the medium's integration. Various levels are differentiated in a few situations; a split structure is interpreted, in a media. Breaks signify gaps and splits. By Quadrature...

I. Introductory Remarks on the Nature and Objects of MathematicsII. On Arithmetical NotationIII. Elementary Rules of ArithmeticIV. Arithmetical FractionsV. Decimal FractionsVI. Algebraical Notation and PrinciplesVII. Elementary Rules of AlgebraVIII. Equations of the First DegreeIX. On the Negative Sign, etcX. Equations of the Second DegreeXI....

Covering all aspects of Elementary Algebra, it will surely serve as the complete elementary textbook for studying different concepts.The subject is presented in its simplest, most essential form, but with many explanatory details, figures and examples.The content of the book is sequentially presented in...

Author: Jambulingam SubramaniISBN-10: 9385477706ISBN-13: 9789385477706Publisher: Bonfring Technology SolutionsLanguage: EnglishPublished: 01/01/2016Pages: 162Format: PaperbackWeight: 0.43lbsSize: 8.50h x 5.50w x 0.35d

Utility of Quaternions in Physics, 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...

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...

From Total Quality Control to Lean Six Sigma traces the evolution and integration of quality management methodologies in the context of modern industry. This book explores the transition from Total Quality Control (TQC) principles to Lean Six Sigma methodologies, examining their respective foundations, principles,...

The philosophy of mathematics, a classical book, has been considered essential 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...

Marks' first lessons in geometry; In two parts. Objectively presented, and designed for the use of primary classes in grammar schools, academies, etc., has been regarded as significant work throughout human history, and in order to ensure that this work is never lost, we...

Remedial Mathematics provides a comprehensive resource for educators, students, and policymakers involved in remedial mathematics education. Through collaboration with experts, this book covers topics such as diagnostic assessment, instructional strategies, curriculum design, technology integration, differentiated instruction, and socio-emotional support for learners. With theoretical insights...

"Modern Trigonometry" provides a comprehensive overview of trigonometric principles, techniques, and applications in contemporary mathematics and scientific inquiry. Through collaboration with experts, this book covers topics such as trigonometric functions, identities, equations, vectors, complex numbers, Fourier analysis, and applications in fields such as physics,...

This book is timely because of the increasing popularity of minimally invasive and cost effective methods to ablate solid tumors. Medical image guided ablation using thermal energy sources such as radio-frequency, microwave, laser, high-intensity focused ultrasound, and cyrogenics have received much recent attention as...

"Machine Learning for Cybersecurity: Threat Detection and Mitigation" delves into the transformative role of machine learning in addressing contemporary cybersecurity challenges. This reprint provides an in-depth exploration of how advanced techniques such as deep learning, natural language processing, and explainable AI are revolutionizing intrusion...

Mathematical data science is a field that combines mathematical techniques with data science methods to extract insights and knowledge from data. It involves working with data at all stages of the data lifecycle, from collection and storage to cleansing and processing, the analysis and...

Almost all real-world systems are inevitably subject to random structures, parameters, and noises, and stochastic systems have been playing increasingly important roles in all areas of science and engineering.The purpose of this Special Issue is to solicit the recent achievements of control theory and...

This Special Issue presents recent developments in the field of structures on manifolds and their submanifolds. This volume covers a vast range of topics, including twister product Hermitian manifold, Legendrian warped product submanifold, Bertrand curve pair, CR-slant warped product, RW spacetime, Li-Yao-type gradient, Ricci-Yamabe...

Due to rapid developments in computing, communication, and sensing technology, multi-agent systems have become increasingly ubiquitous. Their applications include mobile sensor networks, autonomous vehicles, intelligent transportation systems, and smart grids. The complex unknown environment and inaccurate dynamics prose additional challenges for the modeling, control,...

The ninth edition of the International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2021) was organized to take place on 13-16 June 2021. Due to the pandemic, COUPLED 2021 was a fully online and completely synchronous conference. The...

This reprint comprises a compilation of 15 insightful research papers published in the Special Issue "Applied Statistical Modeling and Data Mining" within the Mathematics journal. Spanning multiple domains at the intersection of statistics, machine learning, and real-world applications, the collection presents diverse perspectives and...

Nowadays Hilbert Transform is used not only in Communication but also in Wind Engineering. As the day progresses, the new utility of Hilbert transform is getting high.This book is basically on the fundamental concept of Hilbert Transform and its application in Engineering Sciences and...