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Dwivedi R: Gauss Hypergeometric Function

Gauss Hypergeometric Function

Special Matrix Functions, q-Special Functions

De Gruyter Series in Measurement Sciences

Advances and Applications

Artificially Intelligent Sensing

Metrical Fixed Point Theory, originating from the 1922 Banach Fixed Point Theorem, is one of the most dynamic areas within Operator Equations Theory. This book aims to discuss the foundational aspects of this theory, focusing on questions of existence, uniqueness, and approximation in operator equations - whether explicit or implicit, anticipative or non-anticipative - across standard, ordered, and relational metric spaces. Key themes include implicit methods for analyzing metrical contractions, factorial techniques for reducing coincidence point problems to standard fixed point ones, homotopical fixed point results in gauge spaces with ordered metric space parameters, and constant class reduction of PPF-dependent fixed point results.

The book is structured into four chapters. Chapter 1 provides an overview of essential preliminary concepts. Chapter 2 delves into various contraction classes within bi-relational, local Branciari, and ordered metric spaces. Chapter 3 applies maximal techniques to address the discussed questions, and Chapter 4 explores additional topics, including contractive-type conditions derived from self and non-self maps. Through this structure, the book offers a comprehensive view of the core aspects and applications of Metrical Fixed Point Theory.

Modern Topics In Metrical Fixed Point Theory

This textbook is based on lectures for a third-year course on mathematical methods in physics taught in the Department of Physics at the University of Oslo.
This textbook contains 26 lectures organized into five topics: i) Complex Analysis, ii) Variational Calculus, iii) Ordinary Differential Equations, iv) Integral Transformations, and v) Partial Differential Equations. For each topic, basic fundamental theorems and mathematical techniques are introduced and applied to solving &nbsp;problems. This resource is intended as concise and well-structured, making it suitable for a one-semester course. It is aimed at second- or third-year undergraduate students with background in mathematics and physical science.

Analytical Methods in Physics

Surveys and Tutorials in the Applied Mathematical Sciences

Mechanics is one of the oldest and most foundational subjects in undergraduate curricula for mathematicians, physicists, and engineers. Traditionally taught through a classical, or "analytical," approach, modern advancements have introduced a "geometric" perspective that has found applications in diverse fields such as machine learning, climate research, satellite navigation, and more.This book bridges the gap between classical mechanics and its modern, geometric counterpart. Designed for students and educators, it presents the essential topics typically required in mechanics courses while integrating a geometric approach to deepen understanding.Key features include:*Clear explanations of core concepts, including Lagrangian mechanics, variational methods, canonical transformations, and systems with constraints.*Numerous solved problems and real-world examples to solidify understanding.*Sample midterms and final exams to help students prepare for coursework and assessments.*Every chapter includes a ‘looking forward’ section outlining modern applications of the materialThe book minimizes mathematical abstraction, introducing only the necessary concepts to make the material accessible and practical. Whether you're a student looking to master the essentials or an instructor seeking a fresh perspective, this book provides a comprehensive, approachable, and modern exploration of mechanics.

A Concise Introduction to Classical Mechanics

Quantitative Depth Profiling And Diffusion In Thin Films

In Mathematical Methods for Physics using Microsoft EXCEL, readers will investigate topics from classical to quantum mechanics, which are often omitted from the course work. Some of these topics include rocket propulsion, Rutherford scattering, and boundary value problems and associated special functions as orthonormal bases

Mathematical Methods for Physics using Microsoft EXCEL

This title captures the wide application of state-of-the-art radiation imaging technologies and their integration with emerging technologies like Robotics and Artificial Intelligence to help deliver security solutions in various organisations. It also highlights how innovation can be harnessed to help ensure the safety and security of the general public, especially in the face of the COVID-19 pandemic.Composed of articles and speeches by Prof. Zhiqiang Chen, the President of the Chinese Society for Stereology, this title can help researchers in radiation imaging and government agencies, along with security professionals and industry practitioners. Readers can get a glimpse of how the presented technologies can streamline security operations and facilitate the free flow of travel and trade.Prof Chen's other appointments include the Vice-President of the China Isotope &amp; Radiation Association, and the Chief Science Communication Expert in national public security inspection and non-destructive testing of the China Association for Science and Technology.

Fusing The Application Of Radiation Imaging Technology With Ai: From Theory To Reality

Ubiquitous Computing, Healthcare and Well-being

The book will be related to applied machine learning and deep learning in the field of sensing, vision and sensor-based applications.

Visual Sensing and Ubiquitous Computing

An engaging and accessible presentation of the most famous algorithms and applications of quantum computingThe Joy of Quantum Computing introduces quantum computing succinctly, and with minimal mathematical formalism. Engagingly written-a feast for the reader's inner nerd-it presents the most famous algorithms and applications of quantum computing and quantum information science, including the "killer apps," Grover's search algorithm, and Shor's factoring algorithm. The only prerequisite is precalculus; readers need no knowledge of quantum physics. Matrices are relegated to the (completely optional) final two chapters. The book shows readers that quantum information science is about more than just high-speed calculations and data security. It is also about the fundamental meaning of quantum mechanics and the ultimate nature of reality. The Joy of Quantum Computing is suitable for classroom use or independent study by questing autodidacts. ¿ Offers detailed explanations of quantum circuits, quantum algorithms, and quantum mysteries¿ Explains how to apply quantum information science to cryptography (and how Shor's algorithm menaces classical cryptography)¿ Introduces the mystifying topics of quantum teleportation and the no-cloning theorem¿ Discusses Bell inequalities, which permit experimental tests of philosophical assumptions¿ Presents a simple model of quantum decoherence, shedding light on Schrodinger's mysterious cat

Gauss Hypergeometric Function

Informations bibliographiques

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