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Author  Title  Accn#  Year  Item Type  Claims 
1 
Cacuci, Dan Gabriel 
The nthOrder Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I 
I12435 
2022 
Book 

2 
Bonamente, Massimiliano 
Statistics and Analysis of Scientific Data 
I12430 
2022 
Book 

3 
Mustapha, Aida Binti 
Proceedings of the 7th International Conference on the Applications of Science and Mathematics 2021 
I12419 
2022 
Book 

4 
Taylor, Alexander John 
Analysis of Quantised Vortex Tangle 
I10040 
2017 
eBook 

5 
Vitali, Ettore 
Theory and Simulation of Random Phenomena 
I09810 
2018 
eBook 

6 
Eliazar, Iddo 
Power Laws 
I08903 
2020 
eBook 

7 
Sharp, Kim 
Entropy and the Tao of Counting 
I08704 
2019 
eBook 

8 
Harney, Hanns L 
Bayesian Inference 
I11266 
2003 
eBook 

9 
Feigelson, Eric D 
Statistical Challenges in Astronomy 
I10925 
2003 
eBook 

10 
Starck, J.L 
Astronomical Image and Data Analysis 
I07208 
2006 
eBook 


1.


Title  The nthOrder Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I : Overcoming the Curse of Dimensionality: Linear Systems 
Author(s)  Cacuci, Dan Gabriel 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XII, 362 p : online resource 
Abstract Note  The 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 ???reducedorder 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 bestestimate predicted results with reduced predicted uncertainties; (vii) performing inverse ???predictive modeling???; (viii) designing and optimizing the system. This 3Volume monograph describes a comprehensive adjoint sensitivity analysis methodology, developed by the author, which enables the efficient and exact computation of arbitrarily highorder sensitivities of model responses in largescale 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 phasespace. The model???s responses can be either scalarvalued functionals of the model???s parameters and state variables (e.g., as customarily encountered in optimization problems) or general functionvalued responses. Since linear operators admit bonafide 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 bonafide 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 nthOrder Comprehensive Adjoint Sensitivity Analysis Methodology for ResponseCoupled Forward/Adjoint Linear Systems (abbreviated as ???nthCASAML???), which is conceived for the most efficient computation of exactly obtained mathematical expressions of arbitrarilyhighorder (nthorder) 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 nthCASAML to perform a fourthorder sensitivity and uncertainty analysis of an OECD/NEA reactor physics benchmark which is representative of a largescale model comprises many (21,976) uncertain parameters, thereby amply illustrating the unique potential of the nthCASAML to enable the exact and efficient computation of chosen highorder response sensitivities to model parameters. Volume 3 of this book presents the ???nthOrder Comprehensive Adjoint Sensitivity Analysis Methodology for Nonlinear Systems??? (abbreviation: nthCASAMN) for the practical, efficient, and exact computation of arbitrarilyhigh 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 nthCASAML and the nthCASAMN overcomes the socalled ???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 workedout, 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,Price  9783030963644 
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??

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
I12435 


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2.


Title  Statistics and Analysis of Scientific Data 
Author(s)  Bonamente, Massimiliano 
Publication  Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2022. 
Description  XXIII, 488 p. 58 illus., 48 illus. in color : online resource 
Abstract Note  This book is the third edition of a successful textbook for upperundergraduate 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 MonteCarlo Markov chains, resampling methods and lowcount statistics. In addition to minor corrections and adjusting structure of the content, particular features in this new edition include: Python codes and machinereadable data for all examples, classic experiments, and exercises, which are now more accessible to students and instructors New chapters on lowcount statistics including the Poissonbased Cash statistic for regression in the lowcount regime, and on contingency tables and diagnostic testing. An additional example of classic experiments based on testing data for SARSCOV2 to demonstrate practical applications of the described statistical methods. This edition inherits the main pedagogical method of earlier versions???a theorythenapplication 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,Price  9789811903656 
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??

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
I12430 


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3.


Title  Proceedings 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 
Publication  Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2022. 
Description  XXVI, 464 p. 212 illus., 167 illus. in color : online resource 
Abstract Note  This book presents peerreviewed 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,Price  9789811689031 
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

Item Type  Book 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I12419 


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4.


Title  Analysis of Quantised Vortex Tangle 
Author(s)  Taylor, Alexander John 
Publication  Cham, Springer International Publishing, 2017. 
Description  XVI, 197 p. 95 illus., 84 illus. in color : online resource 
Abstract Note  In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in threedimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexityincluding knottingon the large scale. The work is highly visual, and illustrated with many beautiful diagrams revealing this unanticipated aspect of the physics of waves. Linear superpositions of waves create interference patterns, which means in some places they strengthen one another, while in others they completely cancel each other out. This latter phenomenon occurs on 'vortex lines' in three dimensions. In general wave superpositions modelling e.g. chaotic cavity modes, these vortex lines form dense tangles that have never been visualised on the large scale before, and cannot be analysed mathematically by any known techniques. 
ISBN,Price  9783319485560 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. MATHEMATICAL PHYSICS
4. Numerical and Computational Physics, Simulation
5. PHYSICS
6. Statistical Theory and Methods
7. Statistics??
8. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10040 


On Shelf 




5.


Title  Theory and Simulation of Random Phenomena : Mathematical Foundations and Physical Applications 
Author(s)  Vitali, Ettore;Motta, Mario;Galli, Davide Emilio 
Publication  Cham, Springer International Publishing, 2018. 
Description  XIII, 235 p. 5 illus : online resource 
Abstract Note  The purpose of this book is twofold: first, it sets out to equip the reader with a sound understanding of the foundations of probability theory and stochastic processes, offering stepbystep guidance from basic probability theory to advanced topics, such as stochastic differential equations, which typically are presented in textbooks that require a very strong mathematical background. Second, while leading the reader on this journey, it aims to impart the knowledge needed in order to develop algorithms that simulate realistic physical systems. Connections with several fields of pure and applied physics, from quantum mechanics to econophysics, are provided. Furthermore, the inclusion of fully solved exercises will enable the reader to learn quickly and to explore topics not covered in the main text. The book will appeal especially to graduate students wishing to learn how to simulate physical systems and to deepen their knowledge of the mathematical framework, which has very deep connections with modern quantum field theory 
ISBN,Price  9783319905150 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. Mathematical Applications in the Physical Sciences
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. Numerical and Computational Physics, Simulation
7. PHYSICS
8. PROBABILITIES
9. Probability Theory and Stochastic Processes
10. Statistical Theory and Methods
11. Statistics??

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09810 


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6.


Title  Power Laws : A Statistical Trek 
Author(s)  Eliazar, Iddo 
Publication  Cham, Springer International Publishing, 2020. 
Description  XX, 203 p. 1 illus : online resource 
Abstract Note  This monograph is a comprehensive and cohesive exposition of powerlaw statistics. Following a bottomup construction from a foundational bedrock ??? the power Poisson process ??? this monograph presents a unified study of an assortment of powerlaw statistics including: Pareto laws, Zipf laws, Weibull and Fr??chet laws, power Lorenz curves, L??vy laws, power NewcombBenford laws, subdiffusion and superdiffusion, and 1/f and flicker noises. The bedrock power Poisson process, as well as the assortment of powerlaw statistics, are investigated via diverse perspectives: structural, stochastic, fractal, dynamical, and socioeconomic. This monograph is poised to serve researchers and practitioners ??? from various fields of science and engineering ??? that are engaged in analyses of powerlaw statistics 
ISBN,Price  9783030332358 
Keyword(s)  1. COMPLEX SYSTEMS
2. COMPLEXITY
3. COMPUTATIONAL COMPLEXITY
4. EBOOK
5. EBOOK  SPRINGER
6. STATISTICAL PHYSICS
7. Statistical Physics and Dynamical Systems
8. Statistical Theory and Methods
9. Statistics??
10. SYSTEM THEORY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08903 


On Shelf 




8.


Title  Bayesian Inference : Parameter Estimation and Decisions 
Author(s)  Harney, Hanns L 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2003. 
Description  XIII, 263 p : online resource 
Abstract Note  The book provides a generalization of Gaussian error intervals to situations where the data follow nonGaussian distributions. This usually occurs in frontier science, where the observed parameter is just above background or the histogram of multiparametric data contains empty bins. Then the validity of a theory cannot be decided by the chisquaredcriterion, but this longstanding problem is solved here. The book is based on Bayes' theorem, symmetry and differential geometry. In addition to solutions of practical problems, the text provides an epistemic insight: The logic of quantum mechanics is obtained as the logic of unbiased inference from counting data. However, no knowledge of quantum mechanics is required. The text, examples and exercises are written at an introductory level 
ISBN,Price  9783662060063 
Keyword(s)  1. COMPLEX SYSTEMS
2. Computational Mathematics and Numerical Analysis
3. Computer mathematics
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK  SPRINGER
7. PROBABILITIES
8. Probability Theory and Stochastic Processes
9. QUANTUM COMPUTERS
10. Quantum Information Technology, Spintronics
11. QUANTUM PHYSICS
12. SPINTRONICS
13. STATISTICAL PHYSICS
14. Statistical Theory and Methods
15. Statistics??

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11266 


On Shelf 




9.


Title  Statistical Challenges in Astronomy 
Author(s)  Feigelson, Eric D;Babu, Jogesh 
Publication  New York, NY, Springer New York, 2003. 
Description  XXII, 506 p : online resource 
Abstract Note  Digital sky surveys, highprecision astrometry from satellite data, deepspace data from orbiting telescopes, and the like have all increased the quantity and quality of astronomical data by orders of magnitude per year for several years. Making sense of this wealth of data requires sophisticated statistical techniques. Fortunately, statistical methodologies have similarly made great strides in recent years. Powerful synergies thus emerge when astronomers and statisticians join in examining astrostatistical problems and approaches. The book begins with an historical overview and tutorial articles on basic cosmology for statisticians and the principles of Bayesian analysis for astronomers. As in earlier volumes in this series, research contributions discussing topics in one field are joined with commentary from scholars in the other. Thus, for example, an overview of Bayesian methods for Poissonian data is joined by discussions of planning astronomical observations with optimal efficiency and nested models to deal with instrumental effects. The principal theme for the volume is the statistical methods needed to model fundamental characteristics of the early universe on its largest scales 
ISBN,Price  9780387215297 
Keyword(s)  1. Astronomy, Observations and Techniques
2. Astronomy???Observations
3. COSMOLOGY
4. EBOOK
5. EBOOK  SPRINGER
6. Observations, Astronomical
7. SPACE SCIENCES
8. Space Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)
9. Statistical Theory and Methods
10. Statistics??

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10925 


On Shelf 




10.
 
Title  Astronomical Image and Data Analysis 
Author(s)  Starck, J.L;Murtagh, F 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. 
Description  XIV, 338 p : online resource 
Abstract Note  With information and scale as central themes, this comprehensive survey explains how to handle real problems in astronomical data analysis using a modern arsenal of powerful techniques. It treats those innovative methods of image, signal, and data processing that are proving to be both effective and widely relevant. The authors are leaders in this rapidly developing field and draw upon decades of experience. They have been playing leading roles in international projects such as the Virtual Observatory and the Grid. The book addresses not only students and professional astronomers and astrophysicists, but also serious amateur astronomers and specialists in earth observation, medical imaging, and data mining. The coverage includes chapters or appendices on: detection and filtering; image compression; multichannel, multiscale, and catalog data analytical methods; wavelets transforms, Picard iteration, and software tools. This second edition of Starck and Murtagh's highly appreciated reference again deals with topics that are at or beyond the state of the art. It presents material which is more algorithmically oriented than most alternatives and broaches new areas like ridgelet and curvelet transforms. Throughout the book various additions and updates have been made 
ISBN,Price  9783540330257 
Keyword(s)  1. Astronomy, Observations and Techniques
2. Astronomy???Observations
3. DATABASE MANAGEMENT
4. EBOOK
5. EBOOK  SPRINGER
6. Information storage and retrieval
7. Observations, Astronomical
8. Statistical Theory and Methods
9. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
10. Statistics??

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07208 


On Shelf 



 