Essentials Of Topology With Applications

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Essentials Of Topology With Applications
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Author : Steven G. Krantz
language : en
Publisher: CRC Press
Release Date : 2009-07-28
Essentials Of Topology With Applications written by Steven G. Krantz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-28 with Mathematics categories.
Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological
Topology And Its Applications
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Author : William F. Basener
language : en
Publisher: John Wiley & Sons
Release Date : 2013-06-12
Topology And Its Applications written by William F. Basener and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-12 with Mathematics categories.
Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as cell biology, superconductors, and robot motion, topology has been transformed from a theoretical field that highlights mathematical theory to a subject that plays a growing role in nearly all fields of scientific investigation. Moving from the concrete to the abstract, Topology and Its Applications displays both the beauty and utility of topology, first presenting the essentials of topology followed by its emerging role within the new frontiers in research. Filling a gap between the teaching of topology and its modern uses in real-world phenomena, Topology and Its Applications is organized around the mathematical theory of topology, a framework of rigorous theorems, and clear, elegant proofs. This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population modeling, as well as other areas of science and engineering. Many of these applications are presented in optional sections, allowing an instructor to customize the presentation. The author presents a diversity of topological areas, including point-set topology, geometric topology, differential topology, and algebraic/combinatorial topology. Topics within these areas include: Open sets Compactness Homotopy Surface classification Index theory on surfaces Manifolds and complexes Topological groups The fundamental group and homology Special "core intuition" segments throughout the book briefly explain the basic intuition essential to understanding several topics. A generous number of figures and examples, many of which come from applications such as liquid crystals, space probe data, and computer graphics, are all available from the publisher's Web site.
Computational Geometry Topology And Physics Of Digital Images With Applications
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Author : James F. Peters
language : en
Publisher: Springer Nature
Release Date : 2019-10-03
Computational Geometry Topology And Physics Of Digital Images With Applications written by James F. Peters and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-03 with Technology & Engineering categories.
This book discusses the computational geometry, topology and physics of digital images and video frame sequences. This trio of computational approaches encompasses the study of shape complexes, optical vortex nerves and proximities embedded in triangulated video frames and single images, while computational geometry focuses on the geometric structures that infuse triangulated visual scenes. The book first addresses the topology of cellular complexes to provide a basis for an introductory study of the computational topology of visual scenes, exploring the fabric, shapes and structures typically found in visual scenes. The book then examines the inherent geometry and topology of visual scenes, and the fine structure of light and light caustics of visual scenes, which bring into play catastrophe theory and the appearance of light caustic folds and cusps. Following on from this, the book introduces optical vortex nerves in triangulated digital images. In this context, computational physics is synonymous with the study of the fine structure of light choreographed in video frames. This choreography appears as a sequence of snapshots of light reflected and refracted from surface shapes, providing a solid foundation for detecting, analyzing and classifying visual scene shapes.
Essentials Of Abstract Algebra
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Author : Sachin Nambeesan
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Essentials Of Abstract Algebra written by Sachin Nambeesan and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Essentials of Abstract Algebra" offers a deep exploration into the fundamental structures of algebraic systems. Authored by esteemed mathematicians, this comprehensive guide covers groups, rings, fields, and vector spaces, unraveling their intricate properties and interconnections. We introduce groups, exploring their diverse types, from finite to infinite and abelian to non-abelian, with concrete examples and rigorous proofs. Moving beyond groups, we delve into rings, explaining concepts like ideals, homomorphisms, and quotient rings. The text highlights the relevance of ring theory in number theory, algebraic geometry, and coding theory. We also navigate fields, discussing field extensions, Galois theory, and algebraic closures, and exploring connections between fields and polynomial equations. Additionally, we venture into vector spaces, examining subspaces, bases, dimension, and linear transformations. Throughout the book, we emphasize a rigorous mathematical foundation and intuitive understanding. Concrete examples, diagrams, and exercises enrich the learning experience, making abstract algebra accessible to students, mathematicians, and researchers. "Essentials of Abstract Algebra" is a timeless resource for mastering the beauty and power of algebraic structures.
Essentials Of Microservices Architecture
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Author : Chellammal Surianarayanan
language : en
Publisher: Taylor & Francis
Release Date : 2019-08-28
Essentials Of Microservices Architecture written by Chellammal Surianarayanan and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-28 with Computers categories.
Microservices architecture (MSA) is increasingly popular with software architects and engineers as it accelerates software solution design, development, and deployment in a risk-free manner. Placing a software system into a production environment is elegantly simplified and sped up with the use of MSA development platforms, runtime environments, acceleration engines, design patterns, integrated frameworks, and related tools. The MSA ecosystem is expanding with third-party products that automate as many tasks as possible. MSA is being positioned as the enterprise-grade and agile-application design method. This book covers in-depth the features and facilities that make up the MSA ecosystem. Beginning with an overview of Service-Oriented Architecture (SOA) that covers the Common Object Request Broker Architecture (CORBA), Distributed Component Object Model (DCOM), and Remote Method Invocation (RMI), the book explains the basic essentials of MSA and the continuous delivery of applications to customers. The book gives software developers insight into: Current and emerging communication models Key architectural elements of MSA-based applications Designing efficient APIs for microservices MSA middleware platforms such as REST, SOAP, Apache Thrift, and gRPC Microservice discovery and the API gateway Service orchestration and choreography for composing individual services to achieve a useful business process Database transactions in MSA-centric applications Design, composition, security, and deployment patterns MSA security Modernizing legacy applications The book concludes with a chapter on composing and building powerful microservices. With the exponential growth of IoT devices, microservices are being developed and deployed on resource-constrained but resource-intensive devices in order to provide people-centric applications. The book discusses the challenges of these applications. Finally, the book looks at the role of microservices in smart environments and upcoming trends including ubiquitous yet disappearing microservices.
Java Networking Essentials A Practical Guide With Examples
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Author : William E. Clark
language : en
Publisher: Walzone Press
Release Date : 2025-03-23
Java Networking Essentials A Practical Guide With Examples written by William E. Clark and has been published by Walzone Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-23 with Computers categories.
This book offers a comprehensive guide to network programming using Java, providing readers with a detailed exploration of both fundamental and advanced topics in the field. It systematically presents key networking concepts, starting from the basic principles of client-server models and protocols, and progressing through Java-specific networking classes, socket operations, and HTTP communications. Each section is designed to equip developers with the technical knowledge required for building secure and efficient network applications. The text emphasizes practical implementation alongside theoretical insights, detailing how Java’s robust networking APIs and asynchronous I/O capabilities can be leveraged to develop scalable and responsive systems. The content is structured to facilitate a step-by-step understanding, with clear examples that illustrate the implementation of network protocols, the management of concurrent network connections, and the integration of database and security features in real-world scenarios. Aimed primarily at software developers with foundational Java experience, the book addresses both novice and intermediate programmers seeking to enhance their skills in network application development. It provides precise, actionable instructions for building reliable and secure applications, ensuring that readers are well-prepared to tackle the challenges of modern network programming with confidence and technical expertise.
Networking Essentials A Practical Guide To Networking Technologies And Concepts
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-08
Networking Essentials A Practical Guide To Networking Technologies And Concepts written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-08 with Technology & Engineering categories.
Welcome to the definitive guide to networking, a comprehensive exploration of the technologies and concepts that underpin the connected world. This meticulously crafted book is designed to empower you with a deep understanding of the principles and practices of networking, from the fundamentals to the cutting-edge innovations shaping the future. Embark on a journey through the intricate workings of networks, unraveling the mysteries of network topologies, protocols, and addressing schemes. Discover how these essential components orchestrate the seamless flow of information across vast distances, enabling communication, collaboration, and the exchange of ideas. Delve into the realm of network services, uncovering the secrets behind email, the world wide web, file transfer, and remote access. Explore how these services have revolutionized the way we interact, share information, and conduct business, transforming the world into a global village. Uncover the intricacies of network security, a critical aspect of safeguarding data and maintaining the integrity of networks. Learn about firewalls, intrusion detection systems, encryption, and virtual private networks, the guardians of network security that protect against unauthorized access, malicious attacks, and data breaches. Explore the art of network optimization, mastering the techniques for enhancing performance, troubleshooting issues, and ensuring the smooth operation of your network infrastructure. Discover the methodologies for capacity planning, network monitoring, and maintenance, empowering you to maintain a robust and reliable network. Peer into the future of networking, where emerging technologies are transforming the landscape. From software-defined networking and network function virtualization to the Internet of Things and 5G, gain insights into the transformative technologies shaping the future of connectivity. Whether you're a seasoned network engineer seeking to expand your knowledge, a student eager to master the fundamentals, or a professional seeking to enhance your skills, this book is your indispensable companion. With its clear explanations, insightful examples, and practical guidance, you'll gain the expertise needed to navigate the ever-evolving world of networking, ensuring your success in this dynamic and essential field. If you like this book, write a review!
Langchain Essentials
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Author : Robert Johnson
language : en
Publisher: HiTeX Press
Release Date : 2025-01-06
Langchain Essentials written by Robert Johnson and has been published by HiTeX Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-06 with Computers categories.
"LangChain Essentials: From Basics to Advanced AI Applications" serves as a comprehensive guide to mastering LangChain, a modern programming paradigm crafted to meet the dynamic challenges of contemporary software development. This book meticulously explores LangChain's architecture, providing readers with a foundational understanding of its core components, effective programming practices, and optimization techniques. Through a structured approach, it transitions from fundamental concepts to complex implementations, enabling learners to build robust and efficient applications across various domains. The book delves into LangChain's versatile use in areas such as artificial intelligence, web and mobile development, and data analytics, illustrating its capability to seamlessly integrate with cutting-edge technologies. With an emphasis on practical applications, it offers real-world case studies and detailed examples, ensuring readers can apply LangChain concepts effectively to real projects. Whether you are a beginner looking to understand the basics or a seasoned developer aiming to leverage LangChain's advanced features, this book provides the insights and skills needed to innovate and excel in the ever-evolving tech landscape.
The Role Of Topology In Materials
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Author : Sanju Gupta
language : en
Publisher: Springer
Release Date : 2018-04-21
The Role Of Topology In Materials written by Sanju Gupta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-21 with Science categories.
This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure–property–function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.
Essentials Of Cloud Computing
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Author : Chellammal Surianarayanan
language : en
Publisher: Springer Nature
Release Date : 2023-07-21
Essentials Of Cloud Computing written by Chellammal Surianarayanan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-21 with Computers categories.
Numerous advancements are being brought in and incorporated into the cloud domain with the aim of realizing a trove of deeper and decisive automations. Rather than discussing the cloud paradigm in isolation, this fully updated text examines how cloud computing can work collaboratively with other computing models to meet the needs of evolving trends.This multi-dimensional approach encompasses the challenges of fulfilling the storage requirements of big data, the use of the cloud as a remote server for Internet of Things and sensor networks, and an investigation of how cloud computing is interlinked with other established computing phenomenon such as edge computing. New chapters illustrate the distinct ideals of the cloud-native computing, proclaimed as the next-generation cloud computing paradigm. Topics and features: Includes learning objectives, motivating questions, and self-test exercises Introduces the underlying concepts, fundamental features, and key technological foundations of cloud computing Examines how enterprise networking and cloud networking can work together to achieve business goals Reviews the different types of cloud storage available to address the evolution of data and the need for digitization Discusses the challenges and approaches to implementing cloud governance, security, and the hot topic of cloud management Describes the details of cloud migration, the crucial role of monitoring in optimizing the cloud, and the basics of disaster recovery using cloud infrastructure This technically rigorous, yet simple-to-follow textbook is an ideal resource for graduate courses on cloud computing. Professional software developers and cloud architects will also find the work to be an invaluable reference.