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Kopczewska K: Modelling Spatial Density

Modelling Spatial Density

Data, Methods, and R Applications in Statistics, Econometrics, and Machine Learning

Models and Applications of Tourists’ Travel Behavior offers an exhaustive overview of various approaches to modeling tourists’ travel behavior, aiding readers in selecting the most suitable theoretical approach based on the available data. The book bridges traditional travel behavior theories and tourist studies, introducing specific tourist contexts in travel demand modeling. It transcends theoretical understanding, providing practical insights for choosing the right model and data source. It covers theoretical, descriptive, and statistical approaches to modeling, discussing choice models based on both Stated Preference Data and Revealed Preference Data. The book starts by exploring the role of transport in tourist travel behavior and employs a comprehensive literature review to establish a foundational understanding. The concluding chapters delve into machine learning methods, emphasizing the modeling of transport in tourism, including mode choice, waiting time, and delay modeling. This resource is beneficial for educators, students, and researchers alike, providing a solid foundation for future model development.

Models and Applications of Tourists’ Travel Behavior

This book is the first one that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. They develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Zeroing Dynamics, Gradient Dynamics, and Newton Iterations

Medical Dosage Calculations For Dummies

This textbook presents an introduction to continuum mechanics covering fundamental mathematical tools, general laws and major models. The material is based on lectures held at Gubkin's Russian State University of Oil and Gas. It also includes material related to a joint research seminar with the Institute of Problems in Mechanics of the Russian Academy of Science. The knowledge provided is necessary to understand the structure of existing models, to read and understand the literature and to apply existing methods consciously. Results from computer simulations of virtual models of oil-gas-production are presented to illustrate applications.&nbsp;Graduate students as well as researchers in applied mathematics will benefit from this self-contained text which is enriched by many examples and exercises.
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With Applications to Oil and Gas Development

Introduction to Continuum Mechanics

Introduction to Computational Fluid Dynamics

From the Mathematics of Ancient Civilizations to Thinking Machines

History of Artificial Intelligence

An Introduction to the Finite Element Method with the Variational Approach offers a comprehensive solution to the gaps often found in introductory texts on the Finite Element Method (FEM). The book provides a thorough introduction to the fundamental principles of linear and time-independent FEM within the variational framework. It meticulously covers the derivation of 1-D FEM equations based on variational functionals, encompassing both linear and higher-order elements, and shape functions driven by convergence criteria. Furthermore, it explores 1-D numerical integration, outlines coding procedures, and provides insights into handling material nonlinearity and time-dependent scenarios. Expanding into 2-D problems, the book offers derivations of 2-D FEM equations tailored to diverse engineering disciplines, including Steady-State Heat Conduction, Solid Mechanics (covering torsion, plane strain/axisymmetric cases, and the bending, stability, and vibrations of thin plates), as well as Fluid Mechanics (addressing incompressible inviscid and viscous fluids). It includes detailed discussions on element continuity, numerical integration techniques, and even includes 2-D codes for selected problems. The book concludes by delving into recent advancements in FEM, with a specific focus on applications in machine learning and isogeometric analysis.

An Introduction to the Finite Element Method with the Variational Approach

Problem Solving in Mathematics and Beyond

There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond.

The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.

Mathematics In Architecture, Art, Nature, And Beyond

Why Not Nonlinear Algebra: Math, Science, Applications And Funding

Quantitative Biology

Explore the life-changing magic of trigonometry with Matt Parker, stand-up mathematician and No. 1 bestselling author of Humble PiWhy can no two people ever see the same rainbow? What happens when you pull a pop song apart into pure sine waves and play it back on a piano? Why does the wake behind a duck always form an angle of exactly 39 degrees? And what did mathematicians have to do with the great pig stampede of 2012? The answer to each of these questions can be found in the triangle. In Love Triangle, stand-up comedian, ex-maths teacher and Sunday Times number one bestselling author Matt Parker is on a mission to prove why we should all show a lot more love for triangles, along with the useful trigonometry and geometry they enable. To make his point, he uses triangles to create his own digital avatar, survive a harrowing motorcycle ride, cut a sandwich into three equal parts, and measure tall buildings while wearing silly shoes. But soon these hare-brained experiments begin to reveal a genuinely important truth: triangles are the hidden pattern beneath the surface of the contemporary world, used in everything from GPS to CGI via Spotify streaming, the play button and your best mate's triangle tattoo. Join Matt Parker as he demonstrates why there's more to triangles than Pythagoras and SOHCAHTOA. Triangles are everything and everything is triangles.

The Life-changing Magic of Trigonometry

Love Triangle

This is a comprehensive and state-of-the-art compendium of Newtonian-Eulerian (momentum/vectorial) mechanics, from an advanced and unified (i.e. continuum) viewpoint "elementary" simply means no Lagrangean and no Hamiltonian theories / methods, otherwise the level is graduate and beyond; yet, the presentation is eminently readable and inclusive: the style is informal and the mathematics (this Achilles heel of modern mechanics books, especially of the applied/multi-body ones) has been kept to the simplest necessary for a work of this level and scope (see below) all ahistorical and intuition-deadening jargon and formalisms have been intentionally avoided. As such, the book continues, renovates, and expands the grand tradition laid by such educational 20th century "elementary mechanics" classics as those written by (alphabetically): Butenin, Coe, Fox, Hamel, Lur'e, Magnus, Milne, Nielsen, Parkus, Pars, Synge, Szab, Voigt et al. Specifically: The book opens with a unique part "sub-book" ("zeroth approximation") on the history of theoretical and applied mechanics from classical antiquity (Greece) to late 20th cent., including many hundreds of portraits and photos of famous researchers in mechanics, and famous quotes; Next and to make this volume as self-contained as possible, and establish better communication with the readers an extensive, handbook-like, exposition of the necessary mathematics is presented, i.e. algebra + calculus of Cartesian vectors and tensors, and linear algebra / matrices (in both indicial and direct notations); Then, the main course follows, i.e. a detailed treatment of the fundamentals of (the exact, nonlinear) kinematics, kinetics (and some thermodynamics) of particles, rigid bodies, and deformable continua (i.e. of Euler, Cauchy, Hamel et al.); most basic concepts and general equations are discussed, as well as their approximations (linearizations etc.) the emphasis is on ideas and results of permanent interest.

Elementary Mechanics (In 2 Volumes)

Modelling Spatial Density

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