Название: Dimension Groups and Dynamical Systems: Substitutions, Bratteli Diagrams and Cantor Systems
Автор: Fabien Durand, Dominique Perrin
Издательство: Cambridge University Press
Год: 2022
Формат: PDF
Страниц: 593
Размер: 10.26 MB
Язык: English

This book is the first self-contained exposition of the fascinating link between dynamical systems and dimension groups. The authors explore the rich interplay between topological properties of dynamical systems and the algebraic structures associated with them, with an emphasis on symbolic systems, particularly substitution systems.

Название: A Comprehensive Introduction to Sub-Riemannian Geometry: From the Hamiltonian Viewpoint
Автор: Andrei Agrachev, Davide Barilari, Ugo Boscain
Издательство: Cambridge University Press
Год: 2020
Страниц: 768
Размер: 10.27 МБ
Формат: PDF
Язык: English

Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world, one can move, send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two decades sub-Riemannian geometry has emerged as an independent research domain impacting on several areas of pure and applied mathematics, with applications to many areas such as quantum control, Hamiltonian dynamics, robotics and Lie theory.

Название: Elements of Digital Geometry, Mathematical Morphology, and Discrete Optimization
Автор: Christer Oscar Kiselman
Издательство: World Scientific Publishing
Год: 2022
Страниц: 486
Размер: 10,14 МБ
Формат: PDF
Язык: English

The author presents three distinct but related branches of science in this book: digital geometry, mathematical morphology, and discrete optimization. They are united by a common mindset as well as by the many applications where they are useful. In addition to being useful, each of these relatively new branches of science is also intellectually challenging.

Название: Computation of Atomic and Molecular Processes: Introducing the ATOM-M Software Suite
Автор: Miron Ya. Amusia, Larissa V. Chernysheva
Издательство: Springer
Год: 2021
Страниц: 464
Размер: 10.76 МБ
Формат: PDF
Язык: English

This book presents numerical methods for solving a wide range of problems associated with the structure of atoms and simplest molecules, and their interaction with electromagnetic radiation, electrons, and other particles. It introduces the ATOM-M software package, presenting a unified software suite, written in Fortran, for carrying out precise atomic and molecular numeric calculations.

Название: Master Maths At Home (17 books)
Автор: DK Children
Издательство: DK Children
Год: 2022
Формат: PDF
Размер: 268 Мб
Язык: английский / English

DK and Maths — No Problem! have teamed up to create a unique range of workbooks for children ages 4 to 11. The Master Maths at Home series is designed to help kids gain confidence in their mathematical understanding and develop a secure knowledge of core concepts. Vibrant illustrations and loveable characters make it fun and easy for learners to engage with the material. The books in this mastery series give children a solid grounding in all the essential skills — addition, subtraction, multiplication, division, fractions, geometry, decimals and more. The material is based on the Maths — No Problem! Primary Series, which combines proven learning theories with painstaking craftsmanship and is recommended by the Department for Education for UK schools on the Mastery Programme.

Название: Representation Theory, Mathematical Physics, and Integrable Systems: In Honor of Nicolai Reshetikhin
Автор: Editors Anton Alekseev, Edward Frenkel, Marc Rosso, Ben Webster, Milen Yakimov
Издательство: Birkhäuser
Год: 2021
Страниц: 652
Размер: 16.05 МБ
Формат: PDF
Язык: English

Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements.

Название: Differential Equations on Manifolds and Mathematical Physics: Dedicated to the Memory of Boris Sternin
Автор: Editors Vladimir M. Manuilov, Alexander S. Mishchenko, Vladimir E. Nazaikinskii, Bert-Wolfgang Schulze, Weiping Zhang
Издательство: Birkhäuser
Год: 2021
Страниц: 349
Размер: 10.79 МБ
Формат: PDF
Язык: English

This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis.

Название: Geomathematics: Modelling and Solving Mathematical Problems in Geodesy and Geophysics
Автор: Volker Michel
Издательство: Cambridge University Press
Год: 2022
Страниц: 467
Размер: 86.02 МБ
Формат: PDF
Язык: English

Geomathematics provides a comprehensive summary of the mathematical principles behind key topics in geophysics and geodesy, covering the foundations of gravimetry, geomagnetics and seismology. Theorems and their proofs explain why physical realities in geoscience are the logical mathematical consequences of basic laws. The book also derives and analyzes the theory and numerical aspects of established systems of basis functions; and presents an algorithm for combining different types of trial functions.

Название: Mechanics of mechanisms and machines
Автор: Talpasanu, Alexandru; Talpasanu, Ilie
Издательство: CRC Press
Год: 2019
Формат: PDF
Страниц: 611
Размер: 11,6 Mb
Язык: English

Mechanics of Mechanisms and Machines provides a practical approach to machine statics, kinematics, and dynamics for undergraduate and graduate students and mechanical engineers. The text uses a novel method for computation of mechanism and robot joint positions, velocities, accelerations; and dynamics and statics using matrices, graphs, and generation of independent equations from a matroid form. The computational methods presented can be used for industrial and commercial robotics applications where accurate and quick mechanism/robot control is key. The book includes many examples of linkages, cams, and geared mechanisms, both planar and spatial types, having open or multiple cycles.

Название: A First Course in Complex Analysis
Автор: Allan R. Willms
Издательство: Morgan & Claypool
Год: 2022
Страниц: 238
Размер: 10,91 МБ
Формат: PDF
Язык: English

This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping.