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Smart Data Intelligence: Proceedings of ICSMDI 2024 (Algorithms for Intelligent Systems)
by Selwyn Piramuthu R. Asokan Diego P. RuizThis book presents high-quality research papers presented at 4th International Conference on Smart Data Intelligence (ICSMDI 2024) organized by Kongunadu College of Engineering and Technology at Trichy, Tamil Nadu, India, during February 2024. This book brings out the new advances and research results in the fields of algorithmic design, data analysis, and implementation on various real-time applications. It discusses many emerging related fields like big data, data science, artificial intelligence, machine learning, and deep learning which have deployed a paradigm shift in various data-driven approaches that tends to evolve new data-driven research opportunities in various influential domains like social networks, health care, information, and communication applications.
Smart Data statt Big Data: Wie Sie mit Excel-Analysen das Beste aus Ihren Kundendaten herausholen
by John W. Foreman Jutta SchmidtWelche Produkte kann ich meinen Kunden aufgrund ihrer vorherigen Käufe noch anbieten? Wie kann ich meine Absätze vorhersagen oder Kosten optimieren? Wie kann ich Kundenmails automatisch analysieren? Wenn Sie sich diese oder ähnliche Fragen stellen, finden Sie in diesem Buch die passenden Antworten. Es richtet sich an alle, die eine gewisse Menge Daten haben und ahnen, dass darin wertvolle Erkenntnisse schlummern, die aber nicht wissen, wie sie sie herauskitzeln können. Data-Science-Spezialist John Foreman zeigt Ihnen, wie auch kleinere Unternehmen von Big-Data-Ansätzen profitieren und dass Sie dafür nicht mehr benötigen als grundlegende Mathekenntnisse und ein Tabellenkalkulationsprogramm wie Microsoft Excel oder LibreOffice Calc. Nach ein paar nützlichen allgemeinen Hinweisen zu Excel lernen Sie an realistischen Businessbeispielen, mit welchen Verfahren Sie Kunden clustern, Dokumente klassifizieren, Investitionen und Gewinne optimieren, Prognosen über zukünftige Abverkäufe treffen und wichtige Ausreißer identifizieren. Alle Verfahren sind genauso verständlich wie unterhaltsam erklärt und damit Sie sie direkt selbst ausprobieren können, finden Sie alle Beispieldaten zum Download auf der Website des Verlags. Wenn Sie im Anschluss daran noch tiefer in die Datenanalyse einsteigen möchten, zeigt Ihnen ein kurzer Ausblick auf die Programmiersprache R, was noch alles möglich ist. So sind Sie optimal gerüstet und holen in Zukunft das Beste aus Ihren Daten heraus!
Smart Digital Service Ecosystems: A Research Roadmap from Service Computing and Engineering Perspectives (SpringerBriefs in Service Science)
by Youakim BadrThis book provides a holistic overview of the major advances that have been made in the context of Service Science with a focus on IT-enabled services. To address challenges in collaborative, social-centric, ad-hoc, dynamic and open environments, the book studies IT-enabled service systems from two distinct but complementary research perspectives: service engineering and service computing. From a service engineering view, the book shows how to apply a systemic approach to tackle social problems from holistic and multi-disciplinary perspectives by focusing on service systems and developing a service design framework, including socio-technical aspects, the service reference model, data-driven collaboration processes, the incremental design method, requirement propagation, and system adaptability with feedback loops. From a service computing view, the book introduces a service-oriented aided infrastructure to support IT-enabled service systems in ICT-facilitated environments and provide access to tangible and intangible resources in a trustworthy environment. The book offers a valuable companion and comprehensive reference guide for undergraduate and graduate students who want to learn about current concepts for designing and implementing service systems; and for researchers who want to identify future directions in build smart digital service ecosystems, integrating Internet of Things (IoT) and Artificial Intelligence (AI) and cyber-security. The book also appeals to developers who need to implement advanced services and want to capitalize on corresponding business models, customer-driven interaction, and scalable architectures.
Smart Economy in Smart African Cities: Sustainable, Inclusive, Resilient and Prosperous (Advances in 21st Century Human Settlements)
by Gora Mboup Banji Oyelaran-OyeyinkaThis book highlights the use of information and communication technology (ICT) infrastructures in order to develop smart cities and produce smart economies in Africa. It discusses a robust set of concepts, including smart planning, smart infrastructure development, smart economic development, smart environmental sustainability, smart social development, resilience, and smart peace and security in several African cities. By drawing on the accumulated knowledge on various conditions that make cities smart, green, livable and healthy, it helps in the planning, design and management of African urbanization. In turn, it fosters the development of e-commerce, e-education, e-governance, etc. The rapid development of ICT infrastructures facilitates the creation of smart economies in digitally served cities and towns through smart urban planning, smart infrastructures, smart land tenure and smart urban policies. In the long term, this can reduce emissions of CO2, promote the creation of low carbon cities, reduce land degradation and promote biodiversity.
Smart Grid and Cyber Security Technologies: 8th International Conference on Life System Modeling and Simulation, LSMS 2024 and 8th International Conference on Intelligent Computing for Sustainable Energy and Environment, ICSEE 2024, Suzhou, China, September 13–15, 2024, Proceedings, Part II (Communications in Computer and Information Science #2217)
by Dajun Du Xinchun Jia Wanqing Zhao Xue Li Xin Sun Zhiru CaoThe five-volume set constitutes the thoroughly refereed proceedings of the 8th International Conference on Life System Modeling and Simulation, LSMS 2024, and of the 8th International Conference on Intelligent Computing for Sustainable Energy and Environment, ICSEE 2024, which were held during September 13-15, in Suzhou, China. The 34 papers presented were carefully reviewed and selected from over 496 submissions. The LSMS and ICSEE international conference series aim to bring together international researchers and practitioners in the fields of advanced methods for life system modeling and simulation, as well as advanced intelligent computing theory, methodologies, and engineering applications in achieving net zero across all sectors to tackle the global climate change challenge.
Smart Healthcare and Machine Learning (Advanced Technologies and Societal Change)
by Alejandro C. Frery Mousmi Ajay Chaurasia Prasanalakshmi BalajiThe book explores the convergence of healthcare and cutting-edge technology, making it a captivating subject for readers interested in future research. Smart healthcare with machine learning techniques offers a transformative paradigm that utilizes the power of new technology, data analytics, and interconnected devices to enhance the quality, efficiency, and accessibility of healthcare services. This involves leveraging Internet of Things (IoT) devices, wearable technology, and machine learning algorithms to monitor patient health, predict medical conditions, and offer personalized treatment recommendations. This innovative combination not only enhances diagnostics and treatment but also addresses the research challenges of healthcare access and delivery in an increasingly connected world. By exploring the synergy between smart healthcare and machine learning, the book helps to understand how these technologies can collaborate to revolutionize patient care and healthcare delivery. This book is an outcome with applications of future technologies to overcome the toughest humanitarian challenges from an engineering approach.
Smart Medical Imaging for Diagnosis and Treatment Planning
by Nilanjan Dey, Bitan Misra, and Sayan ChakrabortyThis book presents advanced research on smart health technologies, focusing on the innovative transformations in diagnosis and treatment planning using medical imaging and data analysed by data science techniques. It shows how smart health technologies leverage artificial intelligence (AI) and big data analytics to provide more accurate and efficient diagnosis and treatment planning. In search for innovative and novel methods and techniques for health technologies and medical data processing, the book • Discusses applications of Artificial Intelligence, Data Science, Machine Learning, Deep Learning, the Internet of Things, Big Data, Cloud Computing;• Includes use of electronic patient records in healthcare, analysis of big data in medical diagnosis, reliability, and challenges of EPR and EHR in smart healthcare;• Explores evolving techniques for smart healthcare, its application in medical imaging and prediction in the fields of treatment planning;• Provides recent studies in AI-driven healthcare technologies and medical imaging to outline insight into smart healthcare technologies;• Discusses the role of big data in smart healthcare, computing techniques for healthcare for medical diagnosis and treatment planning;• Encompasses the ethical and legal challenges of using smart healthcare and medical data.This book serves as a valuable reference for researchers working on smart health technologies. Researchers of medical imaging, artificial intelligence, and data science along with healthcare domain will find it a great resource as well.
Smart Modeling for Engineering Systems: Proceedings Of The Conference 50 Years Of The Development Of Grid-characteristic Method (Smart Innovation, Systems and Technologies #133)
by Igor B. Petrov Alena V. Favorskaya Margarita N. Favorskaya Sergey S. Simakov Lakhmi C. JainThis book highlights the work of several world-class researchers on smart modeling of complex systems. The contributions are grouped into the four main categories listed below. · Numerical schemes construction for the solution of partial differential equations. · Numerical methods in continuum media mechanics problems. · Mathematical modeling in aerodynamics, plasma physics, deformable body mechanics, and geological hydrocarbon exploration. · Mathematical modeling in medical applications. The book offers a valuable resource for theoreticians and application scientists and engineers, as well as postgraduate students, in the fields of computational methods, numerical experiments, parallel algorithms, deformable solid bodies, seismic stability, seismic prospecting, migration, elastic and acoustic wave investigation, gas dynamics, astrophysics, aerodynamics, fluid dynamics, turbulent flows, hypersonic flows, detonation waves, composite materials, fracture mechanics, melting of metals, mathematical economics, medicine, and biology.
Smart Multimedia: 4th International Conference, ICSM 2024, Los Angeles, California, USA, March 28–30, 2024, Revised Selected Papers (Lecture Notes in Computer Science #14957)
by Stefano Berretti Hossein AzariThis book constitutes the refereed post-proceedings of the 4th International Conference on Smart Multimedia, ICSM 2024, held in Los Angeles, California, USA, in March 28–30, 2024. The 9 full papers, 8 special papers, 4 industrial papers, 3 late breaking papers, and 3 short papers presented were carefully reviewed and selected from 60 submissions. The papers are organized in the following topical sections: machine learning for multimedia; multimedia; special session on smart homes and cities - the future through smart technological innovations; multimedia processing; short and industrial papers; industrial trend; late breaking papers; special session: haptic and human machine interaction.
Smart Prisons
by Peiliang SunThis book aims to apply the new generation of information technology to the research and practice of prison management, promote the reform of prison security, fair law enforcement, educational correction and other management modes brought about by strengthening the police with science and technology, deepen the practice of administering prison according to law, and promote the modernization of prison governance system and governance capacity. This book is suitable for the personnel engaged in the management and informatization construction of prisons, drug rehabilitation centers, detention houses, and community correction institutions as professional book and is also suitable as the teaching, training, and reference book of criminal execution, prison management, community correction, judicial information technology, prison information technology, and other majors in the colledge of criminal justice.
Smart Techniques for a Smarter Planet: Towards Smarter Algorithms (Studies in Fuzziness and Soft Computing #374)
by Manoj Kumar Mishra Bhabani Shankar Mishra Yashwant Singh Patel Rajiv MisraThis book is intended to provide a systematic overview of so-called smart techniques, such as nature-inspired algorithms, machine learning and metaheuristics. Despite their ubiquitous presence and widespread application to different scientific problems, such as searching, optimization and /or classification, a systematic study is missing in the current literature. Here, the editors collected a set of chapters on key topics, paying attention to provide an equal balance of theory and practice, and to outline similarities between the different techniques and applications. All in all, the book provides an unified view on the field on intelligent methods, with their current perspective and future challenges.
Smart Use of State Public Health Data for Health Disparity Assessment
by Ge Lin Ming QuHealth services are often fragmented along organizational lines with limited communication among the public health–related programs or organizations, such as mental health, social services, and public health services. This can result in disjointed decision making without necessary data and knowledge, organizational fragmentation, and disparate knowledge development across the full array of public health needs. When new questions or challenges arise that require collaboration, individual public health practitioners (e.g., surveillance specialists and epidemiologists) often do not have the time and energy to spend on them. Smart Use of State Public Health Data for Health Disparity Assessment promotes data integration to aid crosscutting program collaboration. It explains how to maximize the use of various datasets from state health departments for assessing health disparity and for disease prevention. The authors offer practical advice on state public health data use, their strengths and weaknesses, data management insight, and lessons learned. They propose a bottom-up approach for building an integrated public health data warehouse that includes localized public health data. The book is divided into three sections: Section I has seven chapters devoted to knowledge and skill preparations for recognizing disparity issues and integrating and analyzing local public health data. Section II provides a systematic surveillance effort by linking census tract poverty to other health disparity dimensions. Section III provides in-depth studies related to Sections I and II. All data used in the book have been geocoded to the census tract level, making it possible to go more local, even down to the neighborhood level.
SmartMaths Standards 4 and 5
by Karen MorrisonMaster All Levels of Primary Mathematics Through a Comprehensive Educational Framework. Boost the educational journey of every student with resources that are culturally relevant, accessible and engaging, available in both print and digital formats.· Cultivate mastery of key mathematical concepts through clear, straightforward explanations using step-by-step guidance and real-life examples.· Streamline SEA preparation from the start with a structured course. Beginning with Standard 1 and progressing seamlessly to a focused resource for Standards 4 and 5, prepare students for the SEA with extensive exercises and exam preparation materials that cater to diverse learning styles.· Engage with culturally relevant content authentically reflecting Trinidad and Tobago's local environments, cultures, and realities, developed and reviewed by local contributors and a Consultant Editor.
SmartMaths Standards 4 and 5
by Karen MorrisonMaster All Levels of Primary Mathematics Through a Comprehensive Educational Framework. Boost the educational journey of every student with resources that are culturally relevant, accessible and engaging, available in both print and digital formats.· Cultivate mastery of key mathematical concepts through clear, straightforward explanations using step-by-step guidance and real-life examples.· Streamline SEA preparation from the start with a structured course. Beginning with Standard 1 and progressing seamlessly to a focused resource for Standards 4 and 5, prepare students for the SEA with extensive exercises and exam preparation materials that cater to diverse learning styles.· Engage with culturally relevant content authentically reflecting Trinidad and Tobago's local environments, cultures, and realities, developed and reviewed by local contributors and a Consultant Editor.
Smartphone Safety
by Eric MintonSmartphones offer convenience and fun, but it is important to use them safely. This title points out phone features that owners can use to make their smartphones more secure. It discusses how to safely find, download, and use apps. The connection between smartphones and cyberbullying is addressed. Information about what to do if you lose your phone or need to get rid of an old phone is included, too.
SMILE - Übungs- und Lösungsbuch zum Kompaktband Logistik (Schule für Mathematik, Informatik, Logistik und Erfolg)
by Sven WirsingDieses Übungsbuch ergänzt den SMILE-Kompaktband mit einer Vielzahl von Übungsaufgaben und deren Lösungen. Alle im Kompaktband dargestellten Inhalte: Grundlagen, Wareneingangskontrolle, Chargenschnittstelle, Kühlguteinlagerung, GUI-Dialoge und Disposition von LKWs werden mit logistischen und mathematischen Aufgaben sowie Fragestellungen zu Python vertieft. Die Python-Lösungen sind bei Springer downloadbar. Ein besonderes Highlight ist das letzte Kapitel Szenario „Tischtennis-AG“, in dem mittels einer fiktiven Firma, die Tischtennis-AG, die wichtigsten Thematiken zu allen Kapiteln erneut als Aufgaben praxisrelevant dargestellt werden.
Smoke & Mirrors: How Hype Obscures the Future and How to See Past It
by Gemma Milne'Stop following the news until you've read Gemma Milne's persuasive analysis of the hype and bullshit that distort our understanding of emerging science. As she shows, the starting point to grasping the genuine opportunities of AI, life sciences and climate tech is a healthy dose of critical thinking'David Rowan, founding editor of WIRED UK and author of Non-Bullshit Innovation: Radical Ideas from the World's Smartest Minds'Couldn't be more timely. Fascinating and vitally important'Jamie Bartlett, author of The People Vs Tech'A much-needed blast of fresh air! Gemma Milne expertly shows us how to separate the truth from the hype surrounding the emerging techs of today, and those of the near-tomorrow'Lewis Dartnell, author of Origins: How the Earth Made Us'I loved this book! This is exactly the sort of sceptical, cut-through-the crap-but-still-excited-about-what's-emerging book around tech innovation that's sorely needed, yet is so hard to find . . . essential reading for anyone who's serious about how real-world advances might be effectively harnessed to build a better future'Dr Andrew Maynard, scientist and author of Films from the Future and Future Rising'[A] vital contribution in a world where technological progress promises so much, but too often disappoints. If, like me, you believe that advances in science and technology are our best hope for solving the grand challenges of our times, this book is the indispensable guide to avoiding the mirages and the charlatans along the way'Matt Clifford, co-founder and CEO of Entrepreneur First'A refreshingly grown-up, clear-headed look at the interaction between science, technology and the media - readable without being dumbed down, acknowledging complexities without being heavy'Tom Chivers, author of The AI Does Not Hate You'ROBOTS WILL STEAL YOUR JOB!''AI WILL REVOLUTIONISE FARMING!''GENETIC EDITING WILL CURE CANCER!'Bombastic headlines about science and technology are nothing new. To cut through the constant stream of information and misinformation on social media, or grab the attention of investors, or convince governments to take notice, strident headlines or bold claims seem necessary to give complex, nuanced information some wow factor.But hype has a dark side, too.It can mislead. It can distract. It can blinker us from seeing what is actually going on.From AI, quantum computing and brain implants, to cancer drugs, future foods and fusion energy, science and technology journalist Gemma Milne reveals hype to be responsible for fundamentally misdirecting or even derailing crucial progress.Hype can be combated and discounted, though, if you're able to see exactly where, how and why it is being deployed.This book is your guide to doing just that.
Smoke & Mirrors: How Hype Obscures the Future and How to See Past It
by Gemma Milne'Stop following the news until you've read Gemma Milne's persuasive analysis of the hype and bullshit that distort our understanding of emerging science. As she shows, the starting point to grasping the genuine opportunities of AI, life sciences and climate tech is a healthy dose of critical thinking'David Rowan, founding editor of WIRED UK and author of Non-Bullshit Innovation: Radical Ideas from the World's Smartest Minds'Couldn't be more timely. Fascinating and vitally important'Jamie Bartlett, author of The People Vs Tech'A much-needed blast of fresh air! Gemma Milne expertly shows us how to separate the truth from the hype surrounding the emerging techs of today, and those of the near-tomorrow'Lewis Dartnell, author of Origins: How the Earth Made Us'I loved this book! This is exactly the sort of sceptical, cut-through-the crap-but-still-excited-about-what's-emerging book around tech innovation that's sorely needed, yet is so hard to find . . . essential reading for anyone who's serious about how real-world advances might be effectively harnessed to build a better future'Dr Andrew Maynard, scientist and author of Films from the Future and Future Rising'[A] vital contribution in a world where technological progress promises so much, but too often disappoints. If, like me, you believe that advances in science and technology are our best hope for solving the grand challenges of our times, this book is the indispensable guide to avoiding the mirages and the charlatans along the way'Matt Clifford, co-founder and CEO of Entrepreneur First'A refreshingly grown-up, clear-headed look at the interaction between science, technology and the media - readable without being dumbed down, acknowledging complexities without being heavy'Tom Chivers, author of The AI Does Not Hate You'ROBOTS WILL STEAL YOUR JOB!''AI WILL REVOLUTIONISE FARMING!''GENETIC EDITING WILL CURE CANCER!'Bombastic headlines about science and technology are nothing new. To cut through the constant stream of information and misinformation on social media, or grab the attention of investors, or convince governments to take notice, strident headlines or bold claims seem necessary to give complex, nuanced information some wow factor.But hype has a dark side, too.It can mislead. It can distract. It can blinker us from seeing what is actually going on.From AI, quantum computing and brain implants, to cancer drugs, future foods and fusion energy, science and technology journalist Gemma Milne reveals hype to be responsible for fundamentally misdirecting or even derailing crucial progress.Hype can be combated and discounted, though, if you're able to see exactly where, how and why it is being deployed.This book is your guide to doing just that.
Smoke & Mirrors: How Hype Obscures the Future and How to See Past It
by Gemma Milne'Stop following the news until you've read Gemma Milne's persuasive analysis of the hype and bullshit that distort our understanding of emerging science. As she shows, the starting point to grasping the genuine opportunities of AI, life sciences and climate tech is a healthy dose of critical thinking'David Rowan, founding editor of WIRED UK and author of Non-Bullshit Innovation: Radical Ideas from the World's Smartest Minds'Couldn't be more timely. Fascinating and vitally important'Jamie Bartlett, author of The People Vs Tech'A much-needed blast of fresh air! Gemma Milne expertly shows us how to separate the truth from the hype surrounding the emerging techs of today, and those of the near-tomorrow'Lewis Dartnell, author of Origins: How the Earth Made Us'I loved this book! This is exactly the sort of sceptical, cut-through-the crap-but-still-excited-about-what's-emerging book around tech innovation that's sorely needed, yet is so hard to find . . . essential reading for anyone who's serious about how real-world advances might be effectively harnessed to build a better future'Dr Andrew Maynard, scientist and author of Films from the Future and Future Rising'[A] vital contribution in a world where technological progress promises so much, but too often disappoints. If, like me, you believe that advances in science and technology are our best hope for solving the grand challenges of our times, this book is the indispensable guide to avoiding the mirages and the charlatans along the way'Matt Clifford, co-founder and CEO of Entrepreneur First'A refreshingly grown-up, clear-headed look at the interaction between science, technology and the media - readable without being dumbed down, acknowledging complexities without being heavy'Tom Chivers, author of The AI Does Not Hate You'ROBOTS WILL STEAL YOUR JOB!''AI WILL REVOLUTIONISE FARMING!''GENETIC EDITING WILL CURE CANCER!'Bombastic headlines about science and technology are nothing new. To cut through the constant stream of information and misinformation on social media, or grab the attention of investors, or convince governments to take notice, strident headlines or bold claims seem necessary to give complex, nuanced information some wow factor.But hype has a dark side, too.It can mislead. It can distract. It can blinker us from seeing what is actually going on.From AI, quantum computing and brain implants, to cancer drugs, future foods and fusion energy, science and technology journalist Gemma Milne reveals hype to be responsible for fundamentally misdirecting or even derailing crucial progress.Hype can be combated and discounted, though, if you're able to see exactly where, how and why it is being deployed.This book is your guide to doing just that.
Smooth Bézier Surfaces over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana #22)
by Michel Bercovier Tanya MatskewichUsing an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM). The recent explosion of IgA, strongly tying Computer Aided Geometry Design to Analysis, does not easily apply to the rich variety of complex shapes that engineers have to design and analyse. Therefore new developments have studied the extension of IgA to unstructured unions of meshes, similar to those one can find in FEM. The following problem arises: given an unstructured planar quadrilateral mesh, construct a C1-surface, by piecewise Bézier or B-Spline patches defined over this mesh. This problem is solved for C1-surfaces defined over plane bilinear Bézier patches, the corresponding results for B-Splines then being simple consequences. The method can be extended to higher-order quadrilaterals and even to three dimensions, and the most recent developments in this direction are also mentioned here.
Smooth Homogeneous Structures in Operator Theory (Monographs and Surveys in Pure and Applied Mathematics)
by Daniel BeltitaGeometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. Requiring only a moderate familiarity with funct
Smooth Manifolds (Compact Textbooks in Mathematics)
by Claudio GorodskiThis concise and practical textbook presents the essence of the theory on smooth manifolds. A key concept in mathematics, smooth manifolds are ubiquitous: They appear as Riemannian manifolds in differential geometry; as space-times in general relativity; as phase spaces and energy levels in mechanics; as domains of definition of ODEs in dynamical systems; as Lie groups in algebra and geometry; and in many other areas. The book first presents the language of smooth manifolds, culminating with the Frobenius theorem, before discussing the language of tensors (which includes a presentation of the exterior derivative of differential forms). It then covers Lie groups and Lie algebras, briefly addressing homogeneous manifolds. Integration on manifolds, explanations of Stokes’ theorem and de Rham cohomology, and rudiments of differential topology complete this work. It also includes exercises throughout the text to help readers grasp the theory, as well as more advanced problems for challenge-oriented minds at the end of each chapter. Conceived for a one-semester course on Differentiable Manifolds and Lie Groups, which is offered by many graduate programs worldwide, it is a valuable resource for students and lecturers alike.
Smooth Manifolds
by Rajnikant SinhaThis book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential manifolds, tangent spaces, multivariable differential calculus, topological properties of smooth manifolds, embedded submanifolds, Sard's theorem and Whitney embedding theorem. It is clearly structured, amply illustrated and includes solved examples for all concepts discussed. Several difficult theorems have been broken into many lemmas and notes (equivalent to sub-lemmas) to enhance the readability of the book. Further, once a concept has been introduced, it reoccurs throughout the book to ensure comprehension. Rank theorem, a vital aspect of smooth manifolds theory, occurs in many manifestations, including rank theorem for Euclidean space and global rank theorem. Though primarily intended for graduate students of mathematics, the book will also prove useful for researchers. The prerequisites for this text have intentionally been kept to a minimum so that undergraduate students can also benefit from it. It is a cherished conviction that "mathematical proofs are the core of all mathematical joy," a standpoint this book vividly reflects.
Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics: An Introduction To Principles And Practice
by Steinar JohannesenThis book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, this book provides complete and rigorous proofs of all the results presented within. Among the themes illustrated in the book are differentiable manifolds, differential forms, fiber bundles and differential geometry with non-trivial applications especially within the general theory of relativity. The emphasis is upon a systematic and logical construction of the mathematical foundations. It can be used as a textbook for a pure mathematics course in differential geometry, assuming the reader has a good understanding of basic analysis, linear algebra and point set topology. The book will also appeal to students of theoretical physics interested in the mathematical foundation of the theories.
Smooth Manifolds and Observables (Graduate Texts in Mathematics #220)
by Jet NestruevThis book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory.