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

Principles And Methods Of Applied Mathematics

This book covers complex analysis (the study of boundary behaviors of analytic functions) and its applications with engineering problems, especially control theory from the viewpoint of boundary functions. The metascience part is rather unique and illustrates a metascientific way of thinking engineering problems by examples of batteries which are cores of electric vehicles.This book gives a way of looking at the phenomena from a higher and brighter point of view through the windows of boundary behavior and metascience. In Chapter 1 which is meant for mathematics-oriented readers, we state materials in standard complex analysis with emphasis on similarity and Laurent expansions. Non-mathematical readers can also benefit by browsing through many examples and worked-out exercises. Chapter 2 gives some concrete examples of invoking novel ideas in the heap of stereo-typed contributions to a field. Possible replacement of LIB by ECaSS(R) is a typical example through which the reader can learn basics of electromagnetism and electrochemistry. The book also provides hints for a deeper understanding of environmental problems as well as how to manage and create a sustainable society.

From Complex Analysis To Metascience: A Stroll Around Boundary Behavior, Similarity And Duality

Advances in Computers

Post-Quantum Cryptography Algorithms and Approaches for IoT and Blockchain Security: Volume 138

Geometric Morphometrics for Biologists: A Primer, Third Edition explores how these geometric methods allow for the study of biological shape by incorporating the geometry of organisms throughout data analyses. Novel content on phylogenetic comparative methods, evolutionary morphology, analyses of disparity, genetics of shape, and simulating shape data is included. This edition delivers step-by-step guidance on how to effectively utilize updated analytical software while also providing guidance on important methodologies that remain relevant to the field to ensure clear and effective instruction to audiences new to this branch of data analysis. It succeeds the second edition as the primary resource for teaching modern geometric methods of shape analysis to students, researchers, and practicing scientists in the field of organismal biology. Users will find it to be an immensely valuable introduction for students and practicing biologists interested in learning applications of multivariate statistics and matrix algebra to organismal biology.

A Primer

Geometric Morphometrics for Biologists

Computation and Analysis of Turbulent Flows

Numerical Modeling of Turbulent Combustion provides readers with a comprehensive understanding of the specificities involved in numerical simulation of gaseous turbulent reactive flows and flames, including their most current applications. This title is intended for individuals with a background in fluid mechanics who are seeking to delve into the fundamentals of turbulent combustion modeling. It offers methodologies to simulate flames while taking into account their multi-physics character. Moreover, the text addresses emerging numerical technologies within this field and highlights the relevance of new sustainable fuels. The structure of the book is carefully organised to cover various aspects. It begins with an exploration of the fundamentals of aerothermochemistry, presenting key quantities and their corresponding balance equations that require numerical solutions. The book then delves into the essential concepts and tools necessary to handle the strongly non-linear nature of turbulent flames, with a specific focus on the interplay between turbulence and chemistry. Furthermore, readers will gain insights into the numerical modeling of flames within the context of sustainable combustion. This includes the introduction of novel fuels, such as hydrogen and solid metals, which have become increasingly relevant in recent times. The book also takes into account cutting-edge techniques, like the systematic integration of machine learning in numerical simulations of complex systems and the lattice Boltzmann approach. These innovations open new possibilities for tackling challenges in numerical turbulent combustion research. Both the fundamental methods and modeling tools are presented in detail, along with best practice guidelines for their practical application in simulations. This ensures that readers not only grasp the underlying theories but also gain valuable insights into how to implement these techniques effectively. Overall, Numerical Turbulent Combustion serves as a valuable resource for researchers and practitioners alike, offering a comprehensive and up-to-date understanding of numerical simulations in the field of turbulent combustion.

Numerical Modeling of Turbulent Combustion

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.

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

The study of one-shot devices such as automobile airbags, fire extinguishers, or antigen tests, is rapidly becoming an important problem in the area of reliability engineering. These devices, which are destroyed or must be rebuilt after use, are a particular case of extreme censoring, which makes the problem of estimating their reliability and lifetime challenging. However, classical statistical and inferential methods do not consider the issue of robustness. Statistical Modeling and Robust Interference for One-shot Devices offers a comprehensive investigation of robust techniques of one-shot devices under accelerated-life tests. With numerous examples and case studies in which the proposed methods are applied, this book includes detailed R codes in selected chapters to help readers implement their own codes and use them in the proposed examples and in their own research on one-shot devicetesting data. Researchers, mathematicians, engineers, and students working on acceleratedlife testing data analysis and robust methodologies will find this to be a welcome resource.

Statistical Modeling and Robust Inference for One-shot Devices

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.

Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals.The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors 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

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

In this volume various aspects of non-Archimedean quantum systems are discussed, such as spectral properties of their Schrödinger operators, and their ability to be approximated by finite systems. Non-Archimedean stochastic methods are also discussed.

Quantum Systems And Finite Approximations: Archimedean And Non-archimedean

This book covers a broad range of questions related to the importance of cell geometry in many areas, including nuclear positioning, chromosome dynamics, cytoskeletal remodeling, tissue patterning, cell-matrix and multicellular contacts. It also addresses medical implications, from its implication in the development of tumors to its role in fibrosis. Together, the chapters in this book will highlight current knowledge and modern approaches to investigating the biophysical design principles underlying key biological functions, with the overall goal of elucidating the connections between cell geometry and nuclear mechanics.

This book covers a broad range of questions related to the importance of cell geometry in many areas, including nuclear positioning, chromosome dynamics, cytoskeletal remodeling, tissue patterning, cell-matrix and multicellular contacts. It also addresses medical implications, from its implication in the development of tumors to its role in fibrosis. Together, the chapters in this book will highlight current knowledge and modern approaches to investigating the biophysical design principles underlying key biological functions, with the overall goal of elucidating the connections between cell geometry and nuclear mechanics.

Cell Geometry

De Gruyter Studies in Mathematics

Orthogonal Polynomials

The aim of this textbook is to improve students' ability to formulate economic problems and provide essential mathematical tools for analysis across various contexts. This book presents the author's current understanding of mathematics, shaped by several years of teaching this subject as well as enriched through interactions with his students. To aid students in their learning, the book is written in a manner that better highlights key concepts and provides additional clarity when possible. In this way, it is hoped that students will feel more guided in their study of mathematics and its applications in microeconomics.

Essential Mathematics For Microeconomics: A Student's Guide To Key Mathematical Techniques

Principles And Methods Of Applied Mathematics

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