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.

Название: Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs
Автор: Alexander Grigor'yan, Yuhua Sun
Издательство: De Gruyter
Год выхода: 2021
Страниц: 528
Формат: True PDF
Размер: 10,1 MB
Язык: английский

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space. Written by experts in the field, this book is a valuable tool for the advanced mathematician.

Название: Geometric Gems: An Appreciation for Geometric Curiosities: Volume II: The Wonders of Quadrilaterals
Автор: Robert Geretschlag, Alfred S. Posamentier
Издательство: World Scientific
Год выхода: 2025
Страниц: 292
Формат: PDF
Размер: 19,5 MB
Язык: английский

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.

Название: An Introduction to Variational Calculus: Applications in Image Processing
Автор: Hebert Montegranario
Издательство: Springer
Год выхода: 2025
Страниц: 154
Формат: True PDF, True ePUB
Размер: 22,7 MB
Язык: английский

This textbook introduces variational calculus and regularization methods for inverse problems, seamlessly blending classical concepts with contemporary computational applications, particularly in the field of image processing.

Название: Fundamentals of Linear Algebra for Signal Processing
Автор: James Reilly
Издательство: Springer
Год выхода: 2025
Страниц: 331
Формат: True PDF, ePUB
Размер: 39,4 MB
Язык: английский

Overview
• All necessary algebraic concepts commonly used in the signal processing context are covered
• A rich set of carefully-constructed signal processing examples is provided throughout the text
• Designed as a primary text in linear algebra for engineering and science graduate students

Signal processing is ubiquitous in many fields of science and engineering. This textbook is tailored specifically for graduate students and presents linear algebra, which is requisite knowledge in these fields, in a form explicitly targeted to signal processing and related disciplines. Written by an experienced author with over 35 years of expertise in signal processing research and teaching, this book provides the necessary foundation in a focused and accessible manner, offering a practical approach to linear algebra without sacrificing rigor.