Multivariable Calculus
Foundations of Multivariable Functions: Provide a comprehensive introduction to functions of multiple variables, including definitions, graphical interpretations, and basic properties. Cover topics such as partial derivatives, gradient vectors, and the concept of differentiability for functions of several variables.Multiple Integration Techniques: Explore techniques for evaluating multiple integrals, including double and triple integrals. Discuss applications of multiple integrals in calculating areas, volumes, and other physical quantities. Include methods for changing variables, such as polar, cylindrical, and spherical coordinates.Vector Calculus and Field Theory: Examine key concepts in vector calculus, including vector fields, line integrals, surface integrals, and flux. Discuss fundamental theorems such as Green's Theorem, Stokes' Theorem, and the Divergence Theorem, and their applications in physics and engineering.Optimization and Constrained Optimization: Discuss methods for optimization in multivariable settings, including finding local and global extrema of functions. Cover techniques such as Lagrange multipliers for constrained optimization problems and the use of Hessian matrices for analyzing critical points.Applications and Advanced Topics: Address various applications of multivariable calculus in fields such as physics, engineering, economics, and computer science. Include advanced topics such as differential forms, manifold theory, and the applications of multivariable calculus in differential equations and dynamical systems.
Introductory Discrete Mathematics
Fundamental Concepts: Provide an overview of foundational concepts in discrete mathematics, including sets, relations, functions, and basic logic. Explain how these concepts form the basis for more advanced topics in discrete mathematics.Combinatorics and Counting: Explore combinatorial methods and counting principles, including permutations, combinations, the pigeonhole principle, and inclusion-exclusion principles. Discuss their applications in solving counting problems and understanding discrete structures.Graph Theory: Introduce the basics of graph theory, including definitions and properties of graphs, types of graphs (e.g., directed, undirected, weighted), and key concepts such as paths, cycles, connectivity, and graph coloring.Applications of Discrete Mathematics: Explore the practical applications of discrete mathematics in computer science, including its role in cryptography, network design, coding theory, and algorithm design. Discuss how discrete mathematics provides tools for solving real-world problems in these areas.
Mathematical Modeling and Control of COVID-19 and Its Variants
In this book, we developed a new hybrid deterministic model, we do this by considering several essential properties of the pandemic COVID-19, such as the existence of individuals tested positive for COVID-19 with severe, mild, or asymptomatic symptoms, and dividing infectious compartment into two essential compartments of hospitalized individuals and those in intensive care units. The content of this book is divided into 3 chapters: In the first chapter, we study the stability properties of the solutions of a proposed nonlinear mathematical model with nine compartments, namely, susceptible-exposed infectious with severe symptoms-infectious with mild symptoms-asymptomatic infectious-hospitalized intensive care unit-dead infectious corpses-recovered to investigate the current outbreak of coronavirus disease (COVID-19) in Morocco and beyond. In the second chapter, we employed the control theory procedure to better understand the ways to maintain the progression of the COVID-19 outbreak and its variant Omicron in a case study of Morocco by designing optimal disease intervention strategies.The third chapter is devoted to expand the proposed nonlinear model into a fractional-order COVID.
Ti 84 Plus Calculator
You've just purchased a TI-84 Plus calculator to assist in performing different types of mathematical equations--now, how can you get the most out of it? You'll find the answer to this question with our comprehensive, 6-page guide that shows in great detail what exactly the TI-84 Plus can do. Function key and mode descriptions, as well as problem-solving examples, are included within a color-coded format for easy reference.
Vector Calculus
It strives to present the material in a clear and accessible manner, with a focus on providing practical examples and applications to various fields such as physics, engineering, computer graphics, and more.Covers the essential concepts of vectors in three-dimensional Euclidean space and explains vector operations, including addition, subtraction, scalar multiplication, and dot product.Discusses partial derivatives, gradient vectors, directional derivatives, and tangent planes and also provides a comprehensive introduction to double and triple integrals.Demonstrates techniques for evaluating integrals using different coordinate systems and covers line integrals and their relationship to work and circulation.This book serves as a valuable resource for students studying mathematics, physics, engineering, and related disciplines. It also serves as an excellent reference for professionals seeking a concise and practical guide to vector calculus.
Advances in Fuzzy MCDM, Hybrid Methods, Fuzzy Number Ranking and Their Applications
This Special Issue of Axioms entitled "Advances in Fuzzy MCDM, Hybrid Methods, Fuzzy Number Ranking, and Their Applications" consists of a collection of ten papers written by eminent mathematicians and experts in their fields, covering numerous different areas of fuzzy MCDM, hybrid methods, ranking methods, and/or their applications. The objective of this Special Issue is to provide a platform for researchers to publish their recent work, delve deeper into various problems, and solve them mathematically.
Generalization of Some Inequalities for Rational Functions with Prescribed Poles
Elements of Algebraic Topology
This classic text appears here in a new edition for the first time in four decades. The new edition, with the aid of two new authors, brings it up to date for a new generation of mathematicians and mathematics students.Elements of Algebraic Topology provides the most concrete approach to the subject. With coverage of homology and cohomology theory, universal coefficient theorems, Kunneth theorem, duality in manifolds, and applications to classical theorems of point-set topology, this book is perfect for communicating complex topics and the fun nature of algebraic topology for beginners.This edition retains the essential features of the original book. Most of the notation and terminology is the same. There are some useful additions. There is a new introduction to homotopy theory. A new Index of Notation is included. Many new exercises are added.Algebraic topology is a cornerstone of modern mathematics. Every working mathematician should have at least an acquaintance with the subject. This book, which is based largely on the theory of triangulations, provides such an introduction. It should be accessible to a broad cross-section of the profession--both students and senior mathematicians. Students should have some familiarity with general topology.Algebraic topology is a cornerstone of modern mathematics. Every working mathematician should have at least an acquaintance with the subject. This book, which is based largely on the theory of triangulations, provides such an introduction. It should be accessible to a broad cross-section of the profession--both students and senior mathematicians. Students should have some familiarity with general topology.
Deep Learning model for prediction and prevention of COVID-19 outbreak
Game-Based Learning, Gamification in Education and Serious Games 2023
In a world where video games are more than just entertainment, Current Advances in Serious Games, Game-based Learning and Gamification in Education explores the transformative power of games in shaping learning, awareness, and engagement. This collection highlights groundbreaking research on game-based learning, digital intelligence, and adaptive gamification. Featuring insights from leading experts, it examines how serious games combat misinformation, enhance media literacy, promote cultural heritage, and personalize educational experiences. Whether you are an educator, researcher, developer, or game enthusiast, this book provides a compelling look at how games are revolutionizing education, training, and social awareness. Dive into the cutting-edge world where learning meets play!
Surveys in Combinatorics 2024
This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, held at Queen Mary University of London in July 2024. Each article provides an overview of recent developments in a current hot research topic in combinatorics. Topics covered include: Latin squares, Erdős covering systems, finite field models, sublinear expanders, cluster expansion, the slice rank polynomial method, and oriented trees and paths in digraphs. The authors are among the world's foremost researchers on their respective topics but their surveys are accessible to nonspecialist readers: they are written clearly with little prior knowledge assumed and with pointers to the wider literature. Taken together these surveys give a snapshot of the research frontier in contemporary combinatorics, helping researchers and graduate students in mathematics and theoretical computer science to keep abreast of the latest developments in the field.
Proof
An award-winning mathematician shows how we prove what's true, and what to do when we can't How do we establish what we believe? And how can we be certain that what we believe is true? And how do we convince other people that it is true? For thousands of years, from the ancient Greeks to the Arabic golden age to the modern world, science has used different methods--logical, empirical, intuitive, and more--to separate fact from fiction. But it all had the same goal: find perfect evidence and be rewarded with universal truth. As mathematician Adam Kucharski shows, however, there is far more to proof than axioms, theories, and laws: when demonstrating that a new medical treatment works, persuading a jury of someone's guilt, or deciding whether you trust a self-driving car, the weighing up of evidence is far from simple. To discover proof, we must reach into a thicket of errors and biases and embrace uncertainty--and never more so than when existing methods fail. Spanning mathematics, science, politics, philosophy, and economics, this book offers the ultimate exploration of how we can find our way to proof--and, just as importantly, of how to go forward when supposed facts falter.
The Vedic Math Bible
The Vedic Math Way is more than a guide to faster calculations-it's a revolutionary journey into the timeless intelligence of ancient Indian mathematics, reimagined for today's learners, educators, and problem-solvers. Whether you're a student aiming to ace competitive exams, a teacher seeking innovative methods to spark numerical intuition, or an adult wishing to rekindle mental sharpness, this book delivers powerful techniques that are as practical as they are profound.Rooted in the 16 foundational Sutras of Vedic Mathematics, this book unveils a system that fosters mental clarity, speed, flexibility, and confidence-not by memorisation, but through intuitive insight. It breaks down complex arithmetic into effortless steps, nurtures logical thinking through pattern recognition, and builds numerical literacy without dependence on calculators or rote learning.What makes this book essential is its structure: every chapter is crafted to demystify the principles, offer real-world applications, and develop scalable skills through practice drills, brain games, and strategy frameworks tailored for timed tests and daily use. From basic operations to Olympiad-level challenges, the content evolves with the reader-making it a true "from beginner to master" experience.This book will be a game-changer for: Students preparing for competitive exams (SAT, GMAT, GRE, CAT, Olympiads, etc.)Educators looking to enrich classrooms with dynamic, ancient-meets-modern methodologyParents supporting their children's learning with logic-based strategiesLifelong learners who want to sharpen their minds and rediscover joy in numbersIn a world obsessed with shortcuts, The Vedic Math Way offers something deeper-a mindset of mastery. It's not just about how fast you solve; it's about how clearly you think. Whether you're battling number anxiety or aiming for mental agility, this book provides the tools, the history, and the roadmap to awaken the inner mathematician in you.
Differential Equation Based Solutions for Emerging Real-Time Problems
Journal of Applied Logics. The IfCoLog Journal of Logics and their Aplications. Volume 12, issue 3, March 2025
