Foundation Mathematics for Engineers and Scientists with Worked Examples
This straightforward and step-by-step presentation of mathematics for engineers and scientists is written primarily for students at levels 3 and 4, typically in the early stages of a degree in engineering or a related discipline, or on foundation or certificate, HNC, International Foundation Year, and International Year One courses.
Integral Transforms and Their Applications
Through numerous examples and end-of-chapter exercises, this book develops readers' analytical and computational skills in the theory and applications of transform methods. It covers advanced mathematical methods for many applications in science and engineering. The book presents a systematic development of the underlying theory as well as a mod
Foundation Mathematics for Engineers and Scientists with Worked Examples
This straightforward and step-by-step presentation of mathematics for engineers and scientists is written primarily for students at levels 3 and 4, typically in the early stages of a degree in engineering or a related discipline, or on foundation or certificate, HNC, International Foundation Year, and International Year One courses.
Introduction to General and Generalized Linear Models
Providing a flexible framework for data analysis and model building, this text focuses on the statistical methods and models that can help predict the expected value of an outcome, dependent, or response variable. It offers a sound introduction to general and generalized linear models using the popular and powerful likelihood techniques. The aut
Measure and Integral
This classic text provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then introducing a more general treatment based on abstract notions characterized by axioms and with less geometric content. Packed with new exercises and material, the long-awaited s
Statistical Methods in Biology
Written in simple language with relevant examples, this illustrative introductory book presents best practices in experimental design and simple data analysis. Taking a practical and intuitive approach, it only uses mathematical formulae to formalize the methods where necessary and appropriate. The text features extended discussions of examples
Introduction to Mathematical Logic
This bestselling, classic textbook continues to provide a complete one-semester introduction to mathematical logic. The sixth edition incorporates recent work on G繹del's second incompleteness theorem as well as an appendix on consistency proofs for first-order arithmetic. It also offers historical perspectives and many new exercises of varying d
A Stitch in Line
A Stitch in Line: Mathematics and One-Stitch Sashiko provides readers with instructions for creating hitomezashi items with minimum outlay. The reader is guided through the practical steps involved in creating each design, and then the mathematics which underpins it is explained in a friendly, accessible way. This is a fantastic book for anyone who is interested in recreational mathematics and/or fibre arts and can be a useful resource for teaching and learning mathematical concepts in a fun and engaging format.Features Numerous full-colour photographs of hitomezashi stitch patterns which have been mathematically designed Suitable for readers of all mathematical levels and backgrounds -- no prior knowledge is automatically assumed A compressed encoding for recording and designing hitomezashi patterns to be stitched or drawn Accessible explanations and explorations of mathematical concepts inherent in, or illustrated by, hitomezashi patterns
Invertibility and Asymptotics of Toeplitz Matrices
No detailed description available for "Invertibility and Asymptotics of Toeplitz Matrices".
Theory of Nonlinear Operators
No detailed description available for "Theory of Nonlinear Operators".
The (wrong) paths of tourism
This study deals with the socio-environmental issues related to the implementation and paving of the GO-239 road, called Estrada-parque Prefeito Divaldo Rinco, which links Alto Para穩so de Goi獺s to Colinas do Sul, in the Chapada dos Veadeiros, in Goi獺s. The road borders and also leads to the Chapada dos Veadeiros National Park (PNCV) and its route presents a scenic beauty typical of the region, showing the high-altitude Cerrado all around. The objectives are to describe the condition of the road and to show what people think about it. This is a qualitative, exploratory study that used direct observation of the road and interviews with residents and institutional agents (PNCV, Municipal Tourism Office) to capture their perceptions of the road's importance and issues surrounding its construction. It was concluded that the road still lacks the conditions that characterise it as a parkway, such as a management plan, but that it has great tourist potential due to the landscape that surrounds it.
Statistical Machine Learning for Engineering with Applications
Mathematical Modelling
This book investigates human-machine systems through the use of case studies such as crankshaft maintenance, liner piston maintenance, and biodiesel blend performance.
A Stitch in Line
A Stitch in Line: Mathematics and One-Stitch Sashiko provides readers with instructions for creating hitomezashi items with minimum outlay. The reader is guided through the practical steps involved in creating each design, and then the mathematics which underpins it is explained in a friendly, accessible way. This is a fantastic book for anyone who is interested in recreational mathematics and/or fibre arts and can be a useful resource for teaching and learning mathematical concepts in a fun and engaging format.Features Numerous full-colour photographs of hitomezashi stitch patterns which have been mathematically designed Suitable for readers of all mathematical levels and backgrounds -- no prior knowledge is automatically assumed A compressed encoding for recording and designing hitomezashi patterns to be stitched or drawn Accessible explanations and explorations of mathematical concepts inherent in, or illustrated by, hitomezashi patterns
Everything Is Predictable
A "fascinating, witty, and perspective-shifting" (Oliver Burkeman, New York Times bestselling author) tour of Bayes's theorem and its global impact on modern life from the acclaimed science writer and author of The Rationalist's Guide to the Galaxy.At its simplest, Bayes's theorem describes the probability of an event, based on prior knowledge of conditions that might be related to the event. But in Everything Is Predictable, Tom Chivers lays out how it affects every aspect of our lives. He explains why highly accurate screening tests can lead to false positives and how a failure to account for it in court has put innocent people in jail. A cornerstone of rational thought, many argue that Bayes's theorem is a description of almost everything. But who was the man who lent his name to this theorem? How did an 18th-century Presbyterian minister and amateur mathematician uncover a theorem that would affect fields as diverse as medicine, law, and artificial intelligence? "Witty, lively, and best of all, extremely nerdy" (Tim Harford, author of The Undercover Economist), Everything Is Predictable is an entertaining and accessible illustration of how a single compelling idea can have far reaching consequences.
General Mathematical Theory Dynamic Global Politic Eco
William Jevons (1866 and 1871) established a ground-breaking milestone with 'A General Mathematical Theory of Political Economy' for economic analysis. Jevons' work was praised as the start of the mathematical method in the discipline of economics, which is inherently a subject involved with mathematics and quantities. This book focuses on the most fast-evolving and encompassing area in political economy -- the dynamic global political economy. Under the high level of globalization currently, intertemporal and cross-boundary interactive elements are present in political-economic encounters. Indeed, almost all studies in the political economy may fall into the study of dynamic global political economy. Since the world has changed significantly, new mathematics developed by the authors of this book is used to formulate a general mathematical theory for the dynamic global political economy nowadays. A distinctive feature of the current book is that it combines advanced mathematics, game-theoretic concepts, and economics to develop a general mathematical theory supporting the study of the dynamic global political economy.The book covers mathematical theory for different areas of the dynamic global political economy. In addition, it explicates the application of the mathematical theory in real-world scenarios, including (i) environmental degradation under an uncoordinated interaction scenario, (ii) global climate accords with collaboration and cooperation, (iii) trade network involving the Belt-Road Initiative (BRI) and Build Back Better World (B3W) Initiative, and (iv) random termination of international joint ventures.
Distribution Dependent Stochastic Differential Equations
Corresponding to the link of It繫's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) characterize nonlinear Fokker-Planck equations. This type of SDEs is named after McKean-Vlasov due to the pioneering work of H P McKean (1966), where an expectation dependent SDE is proposed to characterize nonlinear PDEs for Maxwellian gas. Moreover, by using the propagation of chaos for Kac particle systems, weak solutions of DDSDEs are constructed as weak limits of mean field particle systems when the number of particles goes to infinity, so that DDSDEs are also called mean-field SDEs. To restrict a DDSDE in a domain, we consider the reflection boundary by following the line of A V Skorohod (1961).This book provides a self-contained account on singular SDEs and DDSDEs with or without reflection. It covers well-posedness and regularities for singular stochastic differential equations; well-posedness for singular reflected SDEs; well-posedness of singular DDSDEs; Harnack inequalities and derivative formulas for singular DDSDEs; long time behaviors for DDSDEs; DDSDEs with reflecting boundary; and killed DDSDEs.
46 Ways to Play Math
Math Games Enhance LearningMath games build mental flexibility and strategic reasoning in players of all ages. And even people who hated math in school can enjoy the friendly challenge of a game.These are NOT the typical memory-and-speed-based math games you've probably seen online, but true battles of wit and skill (plus a bit of luck). Even the preschool games can be fun for adults, too.Most of the games take only seconds to learn and less than 15 minutes to play, making them perfect ice-breakers for family gatherings, classroom warmups, or for launching a group game night.You'll love these strategic challenges for preschoolers to adult gamers. Easy to learn, quick to play! Who knew math could be so much fun?Includes six skill-level game chapters: Early Counting Games: 7 Ways to Play Math with Young LearnersCounting Games with Bigger Numbers: 7 Ways to Play Math with Primary StudentsEarly Mental Math: 6 Ways to Play Math with Primary StudentsIntermediate Mental Math: 6 Ways to Play Math in the Middle GradesAdvanced Mental Math: 6 Ways to Play Math with Older StudentsGraphing Games: 6 Ways to Play Math with Older StudentsPlus four bonus chapters for all ages: The Best Math Game Ever: Creative Math for All AgesCreative Nim: Make Your Own Math & Logic GamesThe Function Machine: A Card Game of Algebraic ThinkingNumber Neighborhoods: Two Math Games of Logical Deduction46 Ways To Play Math features instructions and math game pages in full-color, tips for the teacher, and plenty of room to record your game modification or house rules.Grab a deck of cards, a few dice, or markers and graph paper, and let's play some math!
The Non-Uniform Riemann Approach to Stochastic Integration
This is the first book that presents the theory of stochastic integral using the generalized Riemann approach. Readers who are familiar with undergraduate calculus and want to have an easy access to the theory of stochastic integral will find most of this book pleasantly readable, especially the first four chapters. The references to the theory of classical stochastic integral and stochastic processes are also included for the convenience of readers who are familiar with the measure theoretic approach.
Optimal Transport on Quantum Structures
The flourishing theory of classical optimal transport concerns mass transportation at minimal cost. This book introduces the reader to optimal transport on quantum structures, i.e., optimal transportation between quantum states and related non-commutative concepts of mass transportation. It contains lecture notes on classical optimal transport and Wasserstein gradient flowsdynamics and quantum optimal transportquantum couplings and many-body problemsquantum channels and qubits These notes are based on lectures given by the authors at the "Optimal Transport on Quantum Structures" School held at the Erd繹s Center in Budapest in the fall of 2022. The lecture notes are complemented by two survey chapters presenting the state of the art in different research areas of non-commutative optimal transport.
Flows in Networks
A landmark work that belongs on the bookshelf of every researcher working with networks In this classic book, first published in 1962, L. R. Ford, Jr., and D. R. Fulkerson set the foundation for the study of network flow problems. The models and algorithms introduced in Flows in Networks are used widely today in the fields of transportation systems, manufacturing, inventory planning, image processing, and Internet traffic. The techniques presented by Ford and Fulkerson spurred the development of powerful computational tools for solving and analyzing network flow models, and also furthered the understanding of linear programming. In addition, the book helped illuminate and unify results in combinatorial mathematics while emphasizing proofs based on computationally efficient construction. With an incisive foreword by Robert Bland and James Orlin, Flows in Networks is rich with insights that remain relevant to current research in engineering, management, and other sciences.
Fluid Waves
The book covers mathematical basis for fluid waves in science and engineering illustrating basis to undertake pertinent calculations in varied areas. It covers fundamentals of fluid dynamics including chapters explaining specialized applications. All concepts are supported by narrative examples, illustrations, and case studies.
Advanced Probability and Statistics
The chapters in this book deal with: Basic formulation of waveguide cavity resonator equations The reviews of basic statistical signal processing The Hartree-Fock equations
Multivariate Statistical Methods
For those looking to become proficient in multivariate statistical methods, but who might not be deeply versed in the language of mathematics, provides conceptual intros to methods, practical suggestions, new references, and a more extensive collection of R functions and code that will deepen toolkit of multivariate statistical methods.
Stochastic Models in Reliability Engineering
This book is a collective work by many leading scientists, analysts, mathematicians, and engineers who have been working on the front end of reliability science and engineering. The book covers conventional and contemporary topics in reliability science, which have seen extended research activates in the recent years.
Selected Topics in Statistical Inference
This book focuses exclusively on the domain of parametric inference and that, too, from a reader's perspective, i.e., covering only point estimation of parameter(s). It covers those topics in parametric inference which need clarity of exposure to students, researchers, and teachers alike; mere statements of theorems and proofs may not always reveal the inner beauty and significance of some aspects of inference. To ensure clarity, the book discusses the following topics at an advanced level-(1) sequential (unbiased) point estimation of 'p' and its functions; generalization to trinomial and tetranomial populations; (2) some aspects of the use of additional resources in finite population inference; (3) the concept of sufficiency vis-?-vis the notion of sufficient experiments and comparison of experiments; (4) estimation of the size of a finite population with special features; and (5) unbiased estimation of reliability in exponential samples and other settings. This book provides a platform for thought-provoking, creative, and challenging discussions on a variety of topics in statistical estimation theory, it is also ideal for research methodology course for statistics research scholars, and for clarification of basic ideas in topics discussed at basic/advanced levels.
Compressible Flow with Applications to Engines, Shocks and Nozzles
This book is part of the series "Mathematics and Physics Applied to Science and Technology." The book presents the mathematical theory of partial differential equations. It includes applications to acoustic, elastic, water, electromagnetic and other waves, to the diffusion of heat, mass and electricity, and to their interactions.
Multi-Fractal Traffic and Anomaly Detection in Computer Communications
This book provides a comprehensive theory of mono- and multi-fractal traffic, including the basics of long-range dependent time series and 1/f noise, ergodicity and predictability of traffic, traffic modeling and simulation, stationarity tests of traffic, traffic measurement and the anomaly detection of traffic in communications networks.
Multivariate Statistical Modeling in Engineering and Management
The book focuses on problem solving for practitioners and model building for academicians under multivariate situations. This book helps readers in understanding the issues, such as knowing variability, extracting patterns, building relationships, and making objective decisions.
Frontiers of Fractal Analysis
This book provides a better understanding of mutant strains and their pathogenicity by performing genomic sequences of samples. The book will benefit clinicians, educators, scientists, industrialists and policymakers in handling the crisis of the outbreak.
Analysis of Fork-Join Systems
With the boom of big data and machine learning and the subsequent need for parallel processing technologies, fork-join queues are more relevant now than ever before. In this book, new estimates of the average response time in fork-join queues are proposed, which form the basis for new research opportunities.
Getting (more out of) Graphics
This book presents a practical approach to graphic data analysis with real applications front and centre. A knowledge of Statistics is not required, just an interest in data graphics and some experience of working with data.
Mathematical Gnostics
The focus of the book will be concentrated to the step-by-step explanation of applications of the algorithms to real data which are met in daily practice by all data analysts, with particulr focus on chemcial engineering. The book will lead readers through all relevant tasks on one-dimensional, two-dimensional, and multi-dimensional data analysis.
Robust Engineering Designs of Partial Differential Systems and Their Applications
This book focusses on partial differential systems (PDS) from an engineering perspective covering robust stabilization control, filter, and reference tracking design in signal processing, control, and biological systems.
Vector Fields with Applications to Thermodynamics and Irreversibility
This book is part of the series "Mathematics and Physics Applied to Science and Technology." The book presents the mathematical theory of partial differential equations. It includes applications to acoustic, elastic, water, electromagnetic and other waves, to the diffusion of heat, mass and electricity, and to their interactions.
Predictive Analytics
Predictive analytics refers to making predictions about the future based on different parameters which are historical data, machine learning, and artificial intelligences. This book provides the most recent advances in the field along with case studies and real-world examples.
Skew-Normal Model Theories and Their Applications
This book focuses on several skew-normal mixed effects models, and systematically explores the statistical inference theories, methods, and applications of parameters of interest. This book is of academic value, since it helps to establish a series of statistical inference theories and methods for skew-normal mixed effects models.
Sloshing in Upright Circular Containers
This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. It outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear.
G Families of Probability Distributions
Statistical distributions are important tools to model the characteristics of data sets observed in different applied sciences such as engineering, medicine, and finance, among others. This book will help future and current researchers in the field of G families of probability distributions.
Fuzzy Topsis
This book aims to justify the use of fuzzy logic as a logic and an uncertainty theory in the decision-making context. It also discusses the development of the TOPSIS method (Technique for Order of Preference by Similarity to Ideal Solution) with related examples and MATLAB codes. This is the first book devoted to TOPSIS.
Topics in Contemporary Mathematical Analysis and Applications
This book covers contemporary topics of mathematical analysis in the form of new ideas, methods, techniques, algorithms, as well as applications of tools in various engineering and scientific fields. It discusses various problems and offers ways to create models to solve those problems.
Steel Informatics
Steel Informatics aims to review the application of data-driven computing techniques related to design of steel including phase transformation, composition-process-property correlation, and different processing techniques, particularly deformation and joining. It is useful for researchers and students in Metallurgy and Materials Science.
Mathematical Modeling and Computation of Real-Time Problems
This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems.
Textile Engineering
Overall theme of the book is analysis and interpretation of the textile data for improving the quality of textile process and product using various statistical techniques. This volume covers statistical techniques, design of experiments and stochastic modeling in textile engineering supported by practical examples and end-of-chapter exercises.
Beautiful Math
From the bestselling author of Quantum Computing for Everyone, a concise, accessible, and elegant approach to mathematics that not only illustrates concepts but also conveys the surprising nature of the digital information age. Most of us know something about the grand theories of physics that transformed our views of the universe at the start of the twentieth century: quantum mechanics and general relativity. But we are much less familiar with the brilliant theories that make up the backbone of the digital revolution. In Beautiful Math, Chris Bernhardt explores the mathematics at the very heart of the information age. He asks questions such as: What is information? What advantages does digital information have over analog? How do we convert analog signals into digital ones? What is an algorithm? What is a universal computer? And how can a machine learn?The four major themes of Beautiful Math are information, communication, computation, and learning. Bernhardt typically starts with a simple mathematical model of an important concept, then reveals a deep underlying structure connecting concepts from what, at first, appear to be unrelated areas. His goal is to present the concepts using the least amount of mathematics, but nothing is oversimplified. Along the way, Bernhardt also discusses alphabets, the telegraph, and the analog revolution; information theory; redundancy and compression; errors and noise; encryption; how analog information is converted into digital information; algorithms; and, finally, neural networks. Historical anecdotes are included to give a sense of the technology at that time, its impact, and the problems that needed to be solved.Taking its readers by the hand, regardless of their math background, Beautiful Math is a fascinating journey through the mathematical ideas that undergird our everyday digital interactions.
