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Michael (Misha) Chertkov: Principles And
Methods Of Applied Mathematics

Principles And Methods Of Applied Mathematics

De Gruyter Textbook

Engineering Mechanics is one of the fundamental branches of science which is important to educate professional engineers of any major. Most of the basic engineering courses, such as mechanics of materials, fluid and gas mechanics, machine design, mechatronics, acoustics and vibrations, etc. are based on Engineering Mechanics course. In order to absorb the materials of Engineering Mechanics, it is not enough to consume just a theoretical laws and theorems. A student also must develop an ability to solve practical problems. Therefore, it is necessary to solve many problems independently. The offered series of books are supplement to the Engineering Mechanics course in learning and applying the principles required to solve practical engineering problems in following branches of Mechanics: Statics, Kinematics, Dynamics and Advanced Kinetics. Each book contains several (between 6 and 8) topics of the branch. Each topic has 30 problems to be assigned as homework, tests and midterm/final exams with the consent of the instructor. A solution of one similar sample problem from each topic is provided. The first book contains 7 topics of the Statics, which is the branch of mechanics that is concerned with the analysis of forces acting on construction systems that without an acceleration (a state of the static equilibrium). The book is targeting the undergraduate students of the sophomore/junior level majoring in science and engineering. The author acknowledges that this work is essentially a translation and a revision of selected problems provided by Professor A. A. Yablonski ("Collection of Problems for Course Projects in Theoretical Mechanics, "Vischaya Shkola" Publ., 2nd ed., 1972, in Russian). The author intended to introduce this unique work to the western academia, which is the product of material covered by him in many classes over a period of four decades in a number of universities and colleges.

Problems and Solutions in Statics

Mechanical Engineering: Practical Problems

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

Radon Series on Computational and Applied Mathematics

Hilbert Space Methods for the Theory of Electromagnetism

Maxwell’s Equations

Scaling (zooming in or out) is taking a close or distant view of an object. Infinite scaling (the scaling parameter tends to zero or infinity) may lead to a limit which is self-similar and much simpler than the original object. For instance, the classical Donsker's theorem says that all weakly dependent stationary processes with finite variance scale to Brownian motion at large scales. In the case of a random field indexed by two-dimensional parameter, both types of scaling can be anisotropic, meaning that the horizontal and vertical axes are scaled at different rate determined by the ratio γ&gt;0 of the scaling exponents along the axes. The natural questions under such scaling are whether the scaling limits exist for any γ&gt;0, and what are these limits are. The book tries to answer these questions. It introduces the concept of scaling transition and discusses its existence for a natural class of planar random fields including Gaussian, linear and some nonlinear ones. The scaling limits are identified and exhibit a surprising trichitomy at a critical point γ0, with 'unbalanced' limits having unusual path properties and dependence structure along one of the coordinate axes. Scaling transition occurs in applied sciences (telecommunications and econometrics) when aggregating independent processes with long-range dependence in which case 'unbalanced' limits are classical Gaussian or stable random fields.

Anisotropic Scaling Of Random Fields With Long-range Dependence: Scaling Limits Of Random Fields With Applications

A Practical Introduction

Elementary Real Analysis

Storytelling with Data Box Set

This comprehensive compendium addresses a critical need in the AI and machine learning era by bridging foundational information theory (IT) concepts with practical applications in statistical learning. Unlike traditional IT textbooks, this volume emphasizes how IT principles, such as entropy and source coding, underpin modern machine learning techniques like cross-entropy, decision trees, and evidence-lower bounds.This unique book connects IT with probabilistic inference, illustrated through real-world applications, such as decoding LDPC codes for error correction. The inclusion of the Lea probabilistic programming package is particularly valuable for pedagogy, offering students a hands-on tool to solve numerical problems and reinforce theoretical concepts.The useful reference text benefits professionals, researchers, academics and students in the fields of calculus and probability, communications and information sciences.

Introduction To Information Theory And Probabilistic Inference, An

Extended Hypergeometric Functions and Orthogonal Polynomials

Selected Works Of Roderick S. C. Wong, The - Volume 4

This book presents a comprehensive treatment of pricing and hedging soccer betting contracts using the modern techniques of probability, statistics, finance, and portfolio management. It introduces betting in general and then addresses the probabilistic intuition needed in the more complex world of soccer betting. The author presents an innovative perspective by thinking about betting odds in terms of the expected number of goals of both teams. In addition, when the betting market is in play, the book treats betting before the game and during the game separately.

Science of Soccer Statistics

Soccermetrics

Volume II

Cryptocurrency Forensics and Investigation using Open Source Intelligence Techniques (OSINT)

Handbook of MRI Pulse Sequences, Second Edition includes 92 self-contained sections, with each section focusing on a single subject. A new section on detailing the advanced pulse sequence techniques covers a variety of basic and advanced image reconstruction methods. The extensive topic coverage and cross-referencing makes this book ideal for beginners learning the building blocks of MRI pulse sequence design, as well as for experienced professionals who are seeking deeper knowledge of a particular technique. This book is among the most important medical imaging techniques available today. Each of these scanners is capable of running many different "pulse sequences." These sequences are governed by physics and engineering principles and implemented by software programs that control the MRI hardware.

Handbook of MRI Pulse Sequences

Principles And Methods Of Applied Mathematics

Informations bibliographiques

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