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1 Nahin, Paul J The Probability Integral I12823 2023 eBook  
2 Mustapha, Aida Proceedings of the 8th International Conference on the Applications of Science and Mathematics I12753 2023 eBook  
3 Cacuci, Dan Gabriel The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III I12702 2023 eBook  
4 Cacuci, Dan Gabriel The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume II I12631 2023 eBook  
5 Barthelemy, Marc Spatial Networks I12505 2022 Book  
6 Cacuci, Dan Gabriel The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I I12435 2022 Book  
7 Bonamente, Massimiliano Statistics and Analysis of Scientific Data I12430 2022 Book  
8 Mustapha, Aida Binti Proceedings of the 7th International Conference on the Applications of Science and Mathematics 2021 I12419 2022 Book  
9 Borda, Monica Randomness and Elements of Decision Theory Applied to Signals I11928 2021 eBook  
10 Baum, Scott Methods in Urban Analysis I11821 2021 eBook  
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TitleThe Probability Integral : Its Origin, Its Importance, and Its Calculation
Author(s)Nahin, Paul J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXXX, 189 p. 34 illus. in color : online resource
Abstract NoteThis book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessibleto anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics
ISBN,Price9783031384165
Keyword(s)1. EBOOK - SPRINGER 2. ENGINEERING MATHEMATICS 3. HISTORY 4. History of Mathematical Sciences 5. History of Statistics 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. Measure and Integration 10. MEASURE THEORY 11. PROBABILITIES 12. PROBABILITY THEORY 13. Statistics??
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TitleProceedings of the 8th International Conference on the Applications of Science and Mathematics : SCIEMATHIC 2022; 17???19 Oct; Malaysia
Author(s)Mustapha, Aida;Ibrahim, Norzuria;Basri, Hatijah;Rusiman, Mohd Saifullah;Zuhaib Haider Rizvi, Syed
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXXIII, 431 p. 134 illus., 109 illus. in color : online resource
Abstract NoteThis book presents peer-reviewed articles and recent advances on the potential applications of Science and Mathematics for future technologies, from the 8th International Conference on the Applications of Science and Mathematics (SCIEMATHIC 2022), held in Malaysia. It provides an insight about the leading trends in sustainable Science and Technology. Topics included in this proceedings are in the areas of Mathematics and Statistics, including Natural Science, Engineering and Artificial Intelligence
ISBN,Price9789819928507
Keyword(s)1. Chemistry, Physical and theoretical 2. EBOOK - SPRINGER 3. Mathematical Modeling and Industrial Mathematics 4. MATHEMATICAL MODELS 5. MATHEMATICAL PHYSICS 6. Statistical Theory and Methods 7. Statistics?? 8. Sustainability 9. THEORETICAL CHEMISTRY
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TitleThe nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume III : Overcoming the Curse of Dimensionality: Nonlinear Systems
Author(s)Cacuci, Dan Gabriel
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXII, 369 p. 148 illus., 20 illus. in color : online resource
Abstract NoteThis text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The model???s responses can be either scalar-valued functionals of the model???s parameters and state variables (as customarily encountered, e.g., in optimization problems) or general function-valued responses, which are often of interest but are currently not amenable to efficient sensitivity analysis. The C-ASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby breaking the so-called ???curse of dimensionality??? in sensitivity and uncertainty analysis. The C-ASAM applies to any model; the larger the number of model parameters, the more efficient the C-ASAM becomes for computing arbitrarily high-order response sensitivities. The text includes illustrative paradigm problems which are fully worked-out to enable the thorough understanding of the C-ASAM???s principles and their practical application. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. It serves as a textbook or as supplementary reading for graduate course on these topics, in academic departments in the natural, biological, and physical sciences and engineering. This Volume Three, the third of three, covers systems that are nonlinear in the state variables, model parameters and associated responses. The selected illustrative paradigm problems share these general characteristics. A separate Volume One covers systems that are linear in the state variables
ISBN,Price9783031227578
Keyword(s)1. Computational Physics and Simulations 2. COMPUTER SIMULATION 3. EBOOK - SPRINGER 4. Energy and state 5. Energy policy 6. Energy Policy, Economics and Management 7. ENGINEERING 8. ENGINEERING MATHEMATICS 9. Mathematical and Computational Engineering Applications 10. Mathematical Modeling and Industrial Mathematics 11. MATHEMATICAL MODELS 12. MATHEMATICAL PHYSICS 13. NUCLEAR PHYSICS 14. Statistical Theory and Methods 15. Statistics??
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TitleThe nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume II : Overcoming the Curse of Dimensionality: Large-Scale Application
Author(s)Cacuci, Dan Gabriel;Fang, Ruixian
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXVI, 463 p. 20 illus., 18 illus. in color : online resource
Abstract NoteThis text describes a comprehensive adjoint sensitivity analysis methodology (C-ASAM), developed by the author, enabling the efficient and exact computation of arbitrarily high-order functional derivatives of model responses to model parameters in large-scale systems. The C-ASAM framework is set in linearly increasing Hilbert spaces, each of state-function-dimensionality, as opposed to exponentially increasing parameter-dimensional spaces, thereby breaking the so-called ???curse of dimensionality??? in sensitivity and uncertainty analysis. The C-ASAM applies to any model; the larger the number of model parameters, the more efficient the C-ASAM becomes for computing arbitrarily high-order response sensitivities. The book will be helpful to those working in the fields of sensitivity analysis, uncertainty quantification, model validation, optimization, data assimilation, model calibration, sensor fusion, reduced-order modelling, inverse problems and predictive modelling. This Volume Two, the second of three, presents the large-scale application of C-ASAM to compute exactly the first-, second-, third-, and fourth-order sensitivities of the Polyethylene-Reflected Plutonium (PERP) OECD/NEO international benchmark which is modeled mathematically by the Boltzmann particle transport equation. It follows from the description of the C-ASAM framework applied to linear systems in Volume One where the PERP benchmark's response of interest is the leakage of particles through its outer boundary. The benchmark represents the largest sensitivity analysis endeavor ever carried out in the field of reactor physics and the numerical results shown in this book prove, for the first time ever, that many of the second-order sensitivities are much larger than the corresponding first-order ones. Currently, the nth-CASAM is the only known methodology which enables such large-scale computations of the exact expressions and values of the nth-order response sensitivities
ISBN,Price9783031196355
Keyword(s)1. Computational Physics and Simulations 2. COMPUTER SIMULATION 3. EBOOK - SPRINGER 4. Energy and state 5. Energy policy 6. Energy Policy, Economics and Management 7. ENGINEERING 8. ENGINEERING MATHEMATICS 9. Mathematical and Computational Engineering Applications 10. Mathematical Modeling and Industrial Mathematics 11. MATHEMATICAL MODELS 12. MATHEMATICAL PHYSICS 13. NUCLEAR PHYSICS 14. Statistical Theory and Methods 15. Statistics??
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TitleSpatial Networks : A Complete Introduction: From Graph Theory and Statistical Physics to Real-World Applications
Author(s)Barthelemy, Marc
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXIX, 437 p. 241 illus., 157 illus. in color : online resource
Abstract NoteThis book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers
ISBN,Price9783030941062
Keyword(s)1. Applied Statistics 2. EBOOK 3. EBOOK - SPRINGER 4. GRAPH THEORY 5. STATISTICAL PHYSICS 6. Statistics??
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TitleThe nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I : Overcoming the Curse of Dimensionality: Linear Systems
Author(s)Cacuci, Dan Gabriel
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXII, 362 p : online resource
Abstract NoteThe computational models of physical systems comprise parameters, independent and dependent variables. Since the physical processes themselves are seldom known precisely and since most of the model parameters stem from experimental procedures which are also subject to imprecisions, the results predicted by these models are also imprecise, being affected by the uncertainties underlying the respective model. The functional derivatives (also called ???sensitivities???) of results (also called ???responses???) produced by mathematical/computational models are needed for many purposes, including: (i) understanding the model by ranking the importance of the various model parameters; (ii) performing ???reduced-order modeling??? by eliminating unimportant parameters and/or processes; (iii) quantifying the uncertainties induced in a model response due to model parameter uncertainties; (iv) performing ???model validation,??? by comparing computations to experiments to address the question ???does the model represent reality???? (v) prioritizing improvements in the model; (vi) performing data assimilation and model calibration as part of forward ???predictive modeling??? to obtain best-estimate predicted results with reduced predicted uncertainties; (vii) performing inverse ???predictive modeling???; (viii) designing and optimizing the system. This 3-Volume monograph describes a comprehensive adjoint sensitivity analysis methodology, developed by the author, which enables the efficient and exact computation of arbitrarily high-order sensitivities of model responses in large-scale systems comprising many model parameters. The qualifier ???comprehensive??? is employed to highlight that the model parameters considered within the framework of this methodology also include the system???s uncertain boundaries and internal interfaces in phase-space. The model???s responses can be either scalar-valued functionals of the model???s parameters and state variables (e.g., as customarily encountered in optimization problems) or general function-valued responses. Since linear operators admit bona-fide adjoint operators, responses of models that are linear in the state functions (i.e., dependent variables) can depend simultaneously on both the forward and the adjoint state functions. Hence, the sensitivity analysis of such responses warrants the treatment of linear systems in their own right, rather than treating them as particular cases of nonlinear systems. This is in contradistinction to responses for nonlinear systems, which can depend only on the forward state functions, since nonlinear operators do not admit bona-fide adjoint operators (only a linearized form of a nonlinear operator may admit an adjoint operator). Thus, Volume 1 of this book presents the mathematical framework of the nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Response-Coupled Forward/Adjoint Linear Systems (abbreviated as ???nth-CASAM-L???), which is conceived for the most efficient computation of exactly obtained mathematical expressions of arbitrarily-high-order (nth-order) sensitivities of a generic system response with respect to all of the parameters underlying the respective forward/adjoint systems. Volume 2 of this book presents the application of the nth-CASAM-L to perform a fourth-order sensitivity and uncertainty analysis of an OECD/NEA reactor physics benchmark which is representative of a large-scale model comprises many (21,976) uncertain parameters, thereby amply illustrating the unique potential of the nth-CASAM-L to enable the exact and efficient computation of chosen high-order response sensitivities to model parameters. Volume 3 of this book presents the ???nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems??? (abbreviation: nth-CASAM-N) for the practical, efficient, and exact computation of arbitrarily-high order sensitivities of responses to model parameters for systems that are also nonlinear in their underlying state functions. Such computations are not feasible with any other methodology. The application of the nth-CASAM-L and the nth-CASAM-N overcomes the so-called ???curse of dimensionality??? in sensitivity and uncertainty analysis, thus revolutionizing all of the fields of activities which require accurate computation of response sensitivities. Since this monograph includes many illustrative, fully worked-out, paradigm problems, it can serve as a textbook or as supplementary reading for graduate courses in academic departments in the natural sciences and engineering
ISBN,Price9783030963644
Keyword(s)1. Computational Physics and Simulations 2. COMPUTER SIMULATION 3. EBOOK 4. EBOOK - SPRINGER 5. Energy and state 6. Energy policy 7. Energy Policy, Economics and Management 8. ENGINEERING MATHEMATICS 9. Engineering???Data processing 10. Mathematical and Computational Engineering Applications 11. Mathematical Modeling and Industrial Mathematics 12. MATHEMATICAL MODELS 13. MATHEMATICAL PHYSICS 14. NUCLEAR PHYSICS 15. Statistical Theory and Methods 16. Statistics??
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TitleStatistics and Analysis of Scientific Data
Author(s)Bonamente, Massimiliano
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionXXIII, 488 p. 58 illus., 48 illus. in color : online resource
Abstract NoteThis book is the third edition of a successful textbook for upper-undergraduate and early graduate students, which offers a solid foundation in probability theory and statistics and their application to physical sciences, engineering, biomedical sciences and related disciplines. It provides broad coverage ranging from conventional textbook content of probability theory, random variables, and their statistics, regression, and parameter estimation, to modern methods including Monte-Carlo Markov chains, resampling methods and low-count statistics. In addition to minor corrections and adjusting structure of the content, particular features in this new edition include: Python codes and machine-readable data for all examples, classic experiments, and exercises, which are now more accessible to students and instructors New chapters on low-count statistics including the Poisson-based Cash statistic for regression in the low-count regime, and on contingency tables and diagnostic testing. An additional example of classic experiments based on testing data for SARS-COV-2 to demonstrate practical applications of the described statistical methods. This edition inherits the main pedagogical method of earlier versions???a theory-then-application approach???where emphasis is placed first on a sound understanding of the underlying theory of a topic, which becomes the basis for an efficient and practical application of the materials. Basic calculus is used in some of the derivations, and no previous background in probability and statistics is required. The book includes many numerical tables of data as well as exercises and examples to aid the readers' understanding of the topic
ISBN,Price9789811903656
Keyword(s)1. Applied Statistics 2. Data Analysis and Big Data 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Engineering???Data processing 7. Mathematical and Computational Engineering Applications 8. Mathematical Methods in Physics 9. MATHEMATICAL PHYSICS 10. Mathematical statistics???Data processing 11. Quantitative research 12. Statistical Theory and Methods 13. Statistics and Computing 14. Statistics??
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8.     
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TitleProceedings of the 7th International Conference on the Applications of Science and Mathematics 2021 : Sciemathic 2021
Author(s)Mustapha, Aida Binti;Shamsuddin, Suhadir;Zuhaib Haider Rizvi, Syed;Asman, Saliza Binti;Jamaian, Siti Suhana
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionXXVI, 464 p. 212 illus., 167 illus. in color : online resource
Abstract NoteThis book presents peer-reviewed articles and recent advances on the potential applications of Science and Mathematics for future technologies, from the 7th International Conference on the Applications of Science and Mathematics (SCIEMATHIC 2021), held in Malaysia. It provides an insight about the leading trends in sustainable Science and Technology. The world is looking for sustainable solutions to problems more than ever. The synergistic approach of mathematicians, scientists and engineers has undeniable importance for future technologies. With this viewpoint, SCIEMATHIC 2021 has the theme ???Quest for Sustainable Science and Mathematics for Future Technologies???. The conference brings together physicists, mathematicians, statisticians and data scientists, providing a platform to find sustainable solutions to major problems around us. The works presented here are suitable for professionals and researchers globally in making the world a better and sustainable place
ISBN,Price9789811689031
Keyword(s)1. Chemistry, Physical and theoretical 2. EBOOK 3. EBOOK - SPRINGER 4. MATERIALS SCIENCE 5. Mathematical Modeling and Industrial Mathematics 6. MATHEMATICAL MODELS 7. MATHEMATICAL PHYSICS 8. Statistical Theory and Methods 9. Statistics?? 10. Sustainability 11. THEORETICAL CHEMISTRY
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TitleRandomness and Elements of Decision Theory Applied to Signals
Author(s)Borda, Monica;Terebes, Romulus;Malutan, Raul;Ilea, Ioana;Cislariu, Mihaela;Miclea, Andreia;Barburiceanu, Stefania
PublicationCham, Springer International Publishing, 2021.
DescriptionXVII, 242 p. 254 illus., 168 illus. in color : online resource
Abstract NoteThis book offers an overview on the main modern important topics in random variables, random processes, and decision theory for solving real-world problems. After an introduction to concepts of statistics and signals, the book introduces many essential applications to signal processing like denoising, texture classification, histogram equalization, deep learning, or feature extraction. The book uses MATLAB algorithms to demonstrate the implementation of the theory to real systems. This makes the contents of the book relevant to students and professionals who need a quick introduction but practical introduction how to deal with random signals and processes
ISBN,Price9783030903145
Keyword(s)1. Computer science???Mathematics 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL STATISTICS 5. OPERATIONS RESEARCH 6. Operations Research and Decision Theory 7. Probability and Statistics in Computer Science 8. SIGNAL PROCESSING 9. Signal, Speech and Image Processing 10. Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 11. Statistics??
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TitleMethods in Urban Analysis
Author(s)Baum, Scott
PublicationSingapore, Springer Nature Singapore, 2021.
DescriptionVII, 205 p. 23 illus., 16 illus. in color : online resource
Abstract NoteThis book highlights major quantitative and qualitative methods and approaches used in the field of urban analysis. The respective chapters cover the background and relevance of various approaches to urban studies and offer guidance on implementing specific methodologies. Each chapter also provides links to real-world examples. The book is unique in its focus on Australian examples and subject matter, presented by recognized experts in the field.
ISBN,Price9789811616778
Keyword(s)1. COMPLEX SYSTEMS 2. EBOOK 3. EBOOK - SPRINGER 4. Environmental sciences???Mathematics 5. Human geography 6. Mathematical Applications in Environmental Science 7. Sociology, Urban 8. Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 9. Statistics?? 10. SYSTEM THEORY 11. Urban economics 12. Urban Sociology
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