Название: Aspects Represent Theory & Noncommutative Harmonic Analysis
Автор: Jean Gallier, Jocelyn Quaintance
Издательство: World Scientific Publishing
Серия: Mathematical Foundations for Computer Vision, Machine Learning, and Robotics: Volume 2
Год: 2025
Страниц: 768
Язык: английский
Формат: pdf (true)
Размер: 14.1 MB

This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis and representation theory which was first discovered by Hermann Weyl and refined by Andre Weil. This book presents these seminal results of Weyl and Weil. Starting with the basics of representations theory, it presents the famous Peter–Weyl theorems and discusses Fourier analysis on compact groups. This book also introduces the reader to induced representations of locally compact groups, induced representations of G-bundles, and the theory of Gelfand pairs. A special feature is the chapter on equivariant convolutional neural networks (CNNs), a chapter which shows how many of the abstract concepts of representations, analysis on compact groups, Peter–Weyl theorems, Fourier transform, induced representations are used to tackle very practical, modern-day problems. For second-year graduate masters/PhD students in mathematics, engineering, or Computer Vision who are interested in learning about harmonic analysis.

Название: Геометрическое моделирование
Автор: Голованов Н. Н.
Издательство: ДМК Пресс
Год: 2020
Cтраниц: 406
Формат: pdf (ocr)
Размер: 40 мб
Язык: русский

В книге изложены методы построения кривых, поверхностей и твердых тел. Описан состав геометрических моделей, приведены принципы взаимодействия их элементов, рассмотрены применения геометрических моделей. Издание предназначено для студентов высших учебных заведений и специалистов по системам автоматизированного проектирования.

Название: Partial Differential Equations in Sobolev and Analytic Spaces
Автор: Aissa Boukarou, Khaled Zennir, Svetlin G Georgiev
Издательство: World Scientific
Год выхода: 2025
Страниц: 632
Формат: True PDF
Размер: 12,5 MB
Язык: английский

This book is devoted on some recent investigations of some classes partial differential equations in Sobolev and analytic spaces. The book contains twelve chapters. Chapter 1 is entirely devoted to the presentation of definitions and results necessary as a result of this work. We first recall a few basic results on the linear, metric, normed and Banach Spaces and its properties. These are used in particular to introduce the different concepts of weak solutions to PDEs.

Название: Become a Great Data Storyteller: Learn How You Can Drive Change with Data
Автор: Angelica Lo Duca
Издательство: Wiley
Год: 2025
Страниц: 272
Язык: английский
Формат: epub (true)
Размер: 10.4 MB

Unlock the power of storytelling with data to create change. Become a Great Data Storyteller: Learn How You Can Drive Change with Data is a transformational journey guided by author and researcher Angelica Lo Duca. This insightful guide challenges the conventional approach to data visualization by emphasizing the creation of compelling data stories. With a focus on understanding the audience's needs, this book offers a unique value proposition: teaching you how to weave raw data into engaging, narrative-driven presentations that can significantly impact decision-making and generate organizational change. The author masterfully demonstrates the process of building a data story, from creating relatable characters with clear objectives to tailoring these narratives for specific audiences. This book sets itself apart by focusing on the human aspect of data storytelling, ensuring your narratives resonate deeply with your audience. For anyone looking to elevate their data presentation skills from ordinary to extraordinary, Become a Great Data Storyteller offers the tools and insights you need.

Название: Measure and Integration: An Introduction
Автор: Satya N. Mukhopadhyay, Subhasis Ray
Издательство: Springer
Год выхода: 2025
Страниц: 328
Формат: True PDF, ePUB
Размер: 50,9 MB
Язык: английский

• Features the detailed comparison among the Lebesgue integral, improper Riemann integral, and Newton integral
• Acts as a bridge between Riemann integral and the more sophisticated Lebesgue integral
• Serves as a core textbook for senior undergraduate and beginning graduate students of mathematics

Designed for senior undergraduate and graduate students in mathematics, this textbook offers a comprehensive exploration of measure theory and integration. It acts as a pivotal link bridging the Riemann integral and the Lebesgue integral, with a primary focus on tracing the evolution of measure and integration from their historical roots. A distinctive feature of the book is meticulous guidance, providing a step-by-step journey through the subject matter, thus rendering complex concepts more accessible to beginners. A fundamental grasp of differential and integral calculus, as well as Riemann integration, is recommended to ensure a smoother comprehension of the material.

Название: Applied Fluid Mechanics Sixth Edition
Автор: Merle C. Potter, David C. Wiggert
Издательство: Springer
Год выхода: 2025
Страниц: 670
Формат: True PDF
Размер: 31,8 MB
Язык: английский

This textbook can be used for the second required course in fluid mechanics. It can be used for the mechanical engineering or civil engineering programs. This book reviews the more conventional elemental approach for pipe flow, channel flow, and flow between cylinders. It discusses the derivation and application of the Navier-Stokes equations to several flow situations. The content presented in this book is especially designed for civil engineering students, with detailed text on open channel flow, piping systems, turbomachinery, and for mechanical engineering students, with detailed text on the potential flow, external flows including boundary-layer theory and compressible flow.

Название: Algebra: Groups, Rings, and Fields, 2nd Edition
Автор: Louis Halle Rowen, Uzi Vishne
Издательство: CRC Press
Серия: Textbooks in Mathematics
Год: 2025
Страниц: 375
Язык: английский
Формат: pdf (true), epub, mobi
Размер: 10.1 MB

Algebra is a subject we have become acquainted with during most of our mathematical education, often in connection with the solution of equations. Algebra: Groups, Rings, and Fields, Second Edition deals with developments related to their solutions. The principle at the heart of abstract algebra, a subject that enables one to deduce sweeping conclusions from elementary premises, is that the process of abstraction enables us to solve a variety of such problems with economy of effort. This leads to the glorious world of mathematical discovery. This second edition follows the original three-pronged approach: the theory of finite groups, number theory, and Galois’ amazing theory of field extensions tying solvability of equations to group theory. As algebra has branched out in many directions, the authors strive to keep the text manageable while at the same time introducing the student to exciting new paths. In order to support this approach, the authors broadened the first edition, giving monoids a greater role, and relying more on matrices. Hundreds of new exercises were added.

Название: Artificial Intelligence for Chemical Sciences: Concepts, Models, and Applications
Автор: Shrikaant Kulkarni, Shashikant Bhandari, Dushyant Varshney, P. William
Издательство: Apple Academic Press/CRC Press
Год: 2025
Страниц: 415
Язык: английский
Формат: pdf (true), epub
Размер: 43.4 MB

Chemists are increasingly employing Artificial Intelligence (AI) for diversified applications. This new volume explores the use of AI and its various computer-aided applications for the design of new drugs and chemical products, for toxicity prediction and biodegradation, and for fault diagnosis in chemical processing plants. The volume explores knowledge and reasoning-based approaches of the field of chemintelligence to make predictions about the right molecules with given structures and properties as precursors or starting materials, reaction pathways, reaction conditions, improvement in reaction efficiency and selectivity, toxicity, metabolism, biodegradation, and more.

Название: Mathematical Introduction To General Relativity
Автор: Amol Sasane
Издательство: World Scientific
Год выхода: 2025
Страниц: 544
Формат: True PDF
Размер: 10,2 MB
Язык: английский

The book aims to give a mathematical presentation of the theory of general relativity (that is, spacetime-geometry-based gravitation theory) to advanced undergraduate mathematics students. Mathematicians will find spacetime physics presented in the definition-theorem-proof format familiar to them. The given precise mathematical definitions of physical notions help avoiding pitfalls, especially in the context of spacetime physics describing phenomena that are counter-intuitive to everyday experiences.

Название: Optimization, Discrete Mathematics and Applications to Data Sciences
Автор: Ashkan Nikeghbali, Panos M. Pardalos, Michael Th. Rassias
Издательство: Springer
Год: 2025
Страниц: 241
Язык: английский
Формат: pdf (true), epub
Размер: 35.0 MB

This book delves into the dynamic intersection of optimization and discrete mathematics, offering a comprehensive exploration of their applications in Data Sciences. Through a collection of high-quality papers, readers will gain insights into cutting-edge research and methodologies that address complex problems across a wide array of topics. The chapters cover an impressive range of subjects, including advances in the study of polynomials, combinatorial identities, and global optimization algorithms. Readers will encounter innovative approaches to predictive models for non-performing loans, rainbow greedy matching algorithms, and the cost of detection in interaction testing. The book also examines critical issues such as demand aggregation, mid-term energy planning, and minimum-cost energy flow. Contributions from expert authors provide a deep dive into multilevel low-rank matrices, the protection of medical image authenticity, and the mathematical intricacies of the Braess paradox. This volume invites readers to explore diverse perspectives and theoretical insights that are both practical and forward-thinking. This publication is an invaluable resource for graduate students and advanced researchers in the fields of optimization and discrete mathematics. It is particularly beneficial for those interested in their applications within Data Sciences.