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1 Kantorovich, Lev Mathematics for Natural Scientists I12528 2022 Book  
2 Barber, J. R Elasticity I12472 2022 Book  
3 Steinhauser, Martin Oliver Computational Multiscale Modeling of Fluids and Solids I12437 2022 Book  
4 Cacuci, Dan Gabriel The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume I I12435 2022 Book  
5 Bonamente, Massimiliano Statistics and Analysis of Scientific Data I12430 2022 Book  
6 Usubamatov, Ryspek Theory of Gyroscopic Effects for Rotating Objects I12421 2022 Book  
7 Huerta Cu??llar, Guillermo Complex Systems and Their Applications I12413 2022 Book  
8 Shchurov, Vladimir A Movement of Acoustic Energy in the Ocean I12403 2022 Book  
9 Madenci, Erdogan Advances in Peridynamics I12400 2022 Book  
10 Volchenkov, Dimitri Mathematical Methods in Modern Complexity Science I12384 2022 Book  
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TitleMathematics for Natural Scientists : Fundamentals and Basics
Author(s)Kantorovich, Lev
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXXIII, 768 p. 189 illus., 163 illus. in color : online resource
Abstract NoteThis book, now in a second revised and enlarged edition, covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students and avoiding unnecessary mathematical jargon and proofs that are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and sufficiently convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. The second edition includes more on advanced algebra, polynomials and algebraic equations in significantly extended first two chapters on elementary mathematics, numerical and functional series and ordinary differential equations. Improvements have been made in all other chapters, with inclusion of additional material, to make the presentation clearer, more rigorous and coherent, and the number of problems has been increased at least twofold. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume the second edition of which the author is currently being working on
ISBN,Price9783030912222
Keyword(s)1. Applications of Mathematics 2. Chemometrics 3. Diseases 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Engineering???Data processing 8. Mathematical and Computational Engineering Applications 9. Mathematical Applications in Chemistry 10. Mathematical Methods in Physics 11. MATHEMATICAL PHYSICS 12. MATHEMATICS 13. Theoretical, Mathematical and Computational Physics
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TitleElasticity
Author(s)Barber, J. R
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXX, 637 p. 131 illus., 2 illus. in color : online resource
Abstract NoteThis book emphasizes engineering applications of elasticity. This is a first-year graduate textbook in linear elasticity. It is written with the practical engineering reader in mind, dependence on previous knowledge of solid mechanics, continuum mechanics or mathematics being minimized. Examples are generally worked through to final expressions for the stress and displacement fields in order to explore the engineering consequences of the results. This 4th edition presents new and revised material, notably on the Eshelby inclusion problem and anisotropic elasticity. The topics covered are chosen with a view to modern research applications in fracture mechanics, composite materials, tribology and numerical methods. Thus, significant attention is given to crack and contact problems, problems involving interfaces between dissimilar media, thermoelasticity, singular asymptotic stress fields and three-dimensional problems
ISBN,Price9783031152146
Keyword(s)1. Applications of Mathematics 2. Classical and Continuum Physics 3. EBOOK 4. EBOOK - SPRINGER 5. Engineering Fluid Dynamics 6. ENGINEERING MATHEMATICS 7. Engineering???Data processing 8. FLUID MECHANICS 9. Mathematical and Computational Engineering Applications 10. MATHEMATICS 11. MECHANICAL ENGINEERING 12. Mechanics, Applied 13. PHYSICS 14. Solid Mechanics 15. SOLIDS
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TitleComputational Multiscale Modeling of Fluids and Solids : Theory and Applications
Author(s)Steinhauser, Martin Oliver
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXXVII, 432 p. 145 illus., 55 illus. in color : online resource
Abstract NoteThe expanded 3rd edition of this established textbook offers an updated overview and review of the computational physics techniques used in materials modelling over different length and time scales. It describes in detail the theory and application of some of the most important methods used to simulate materials across the various levels of spatial and temporal resolution. Quantum mechanical methods such as the Hartree-Fock approximation for solving the Schr??dinger equation at the smallest spatial resolution are discussed as well as the Molecular Dynamics and Monte-Carlo methods on the micro- and meso-scale up to macroscopic methods used predominantly in the Engineering world such as Finite Elements (FE) or Smoothed Particle Hydrodynamics (SPH). Extensively updated throughout, this new edition includes additional sections on polymer theory, statistical physics and continuum theory, the latter being the basis of FE methods and SPH. Each chapter now first provides an overview of the key topics covered, with a new ???key points??? section at the end. The book is aimed at beginning or advanced graduate students who want to enter the field of computational science on multi-scales. It provides an in-depth overview of the basic physical, mathematical and numerical principles for modelling solids and fluids on the micro-, meso-, and macro-scale. With a set of exercises, selected solutions and several case studies, it is a suitable book for students in physics, engineering, and materials science, and a practical reference resource for those already using materials modelling and computational methods in their research
ISBN,Price9783030989545
Keyword(s)1. Characterization and Analytical Technique 2. Computational Mathematics and Numerical Analysis 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Engineering???Data processing 7. GEOLOGY 8. Materials???Analysis 9. Mathematical and Computational Engineering Applications 10. MATHEMATICAL PHYSICS 11. Mathematics???Data processing 12. Theoretical, Mathematical and Computational Physics
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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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TitleTheory of Gyroscopic Effects for Rotating Objects : Gyroscopic Effects and Applications
Author(s)Usubamatov, Ryspek
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXVIII, 291 p. 75 illus : online resource
Abstract NoteThis book highlights an analytical solution for the dynamics of axially rotating objects. It also presents the theory of gyroscopic effects, explaining their physics and using mathematical models of Euler???s form for the motion of movable spinning objects to demonstrate these effects. The major themes and approaches are represented by the spinning disc and the action of the system of interrelated inertial torques generated by the centrifugal and Coriolis forces, as well as the change in the angular momentum. The interrelation of inertial torques is based on the dependency of the angular velocities of the motions of the spinning objects around axes by the principle of mechanical energy conservation. These kinetically interrelated torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects of different designs, like rings, cones, spheres, paraboloids, propellers, etc. Lastly, the mathematical models for the gyroscopic effects are validated by practical tests. The 2nd edition became necessary due to new development and corrections of mathematical expressions: It contains new chapters about the Tippe top inversion and inversion of the spinning object in an orbital flight and the boomerang aerodynamics
ISBN,Price9783030992132
Keyword(s)1. CLASSICAL MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. MECHANICS
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TitleComplex Systems and Their Applications : Second International Conference (EDIESCA 2021)
Author(s)Huerta Cu??llar, Guillermo;Campos Cant??n, Eric;Tlelo-Cuautle, Esteban
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionX, 269 p. 149 illus., 129 illus. in color : online resource
Abstract NoteThis book is a compilation of scientific articles written by recognized researchers, and select students, participating in the Second Conference on the Study of Complex Systems and their Applications (EDIESCA 2021). EDIESCA 2021 arose from the need for academic and research groups that carry out this scientific research to disseminate their results internationally. The study and characterization of systems with non-linear and/or chaotic behavior has been of great interest to researchers around the world, for which many important results have been obtained with various applications. The dynamic study of chaotic oscillators of different models, such as R??ssler, Lorenz, and Chua, has generated important advances in understanding of chemical reactions, meteorological behavior, design of electronic devices, and other applications. Topics at the event included applications for communications systems by masking techniques, financial behavior, networks analysis, nonlinear lasers, numerical modeling, electronic design, and other interesting topics in the area of complex systems. Additionally, there are results on numerical simulation and electronic designs to generate complex dynamic behaviors
ISBN,Price9783031024726
Keyword(s)1. Applied Dynamical Systems 2. COMPLEX SYSTEMS 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ELECTRONIC CIRCUIT DESIGN 7. Electronics Design and Verification 8. ENGINEERING DESIGN 9. ENGINEERING MATHEMATICS 10. Engineering???Data processing 11. Mathematical and Computational Engineering Applications 12. Mechanics, Applied 13. Multibody systems 14. Multibody Systems and Mechanical Vibrations 15. NONLINEAR THEORIES 16. SYSTEM THEORY 17. VIBRATION
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8.     
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TitleMovement of Acoustic Energy in the Ocean
Author(s)Shchurov, Vladimir A
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2022.
DescriptionXV, 188 p. 113 illus., 31 illus. in color : online resource
Abstract NoteThis book highlights the advantages of the vector-phase method in underwater acoustic measurements and presents results of theoretical and experimental studies of the deep open ocean and shallow sea based on vector-phase representations. Based on the physical phenomena discovered and compensation of counter streams of energy and vortices of the acoustic intensity vector, processes of transmitting acoustic energy of a tonal signal in the real ocean are described. The book also discusses the development of advanced detection tools based on vector-phase sonar. This book provides useful content for professionals and researchers working in various fields of applied underwater acoustics
ISBN,Price9789811913006
Keyword(s)1. ACOUSTICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. MEASUREMENT 6. Measurement Science and Instrumentation 7. MEASURING INSTRUMENTS 8. SIGNAL PROCESSING 9. Signal, Speech and Image Processing 10. Underwater acoustics
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TitleAdvances in Peridynamics
Author(s)Madenci, Erdogan;Roy, Pranesh;Behera, Deepak
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionXVI, 421 p. 240 illus., 234 illus. in color : online resource
Abstract NoteThis book presents recent improvements in peridynamic modeling of structures. It provides sufficient theory and numerical implementation helpful to both new and existing researchers in the field. The main focus of the book is on the non-ordinary state-based (NOSB) peridynamics (PD) and its applications for performing finite deformation. It presents the framework for modeling high stretch polymers, viscoelastic materials, thermoelasticity, plasticity, and creep. It provides a systematic derivation for dimensionally reduced structures such as axisymmetric structures and beams. Also, it presents a novel approach to impose boundary conditions without suffering from displacement kinks near the boundary. Furthermore, it presents refinements to bond-based PD model by including rotation kinematics for modeling isotropic and composite materials. Moreover, it presents a PD ??? FEM coupling framework in ANSYS based on principle for virtual work. Lastly, it presents an application of neural networks in the peridynamic (PINN) framework. Sample codes are provided for readers to develop hands-on experience on peridynamic modeling. Describes new developments in peridynamics and their applications in the presence of material and geometric nonlinearity; Describes an approach to seamlessly couple PD with FE; Introduces the use of the neural network in the PD framework to solve engineering problems; Provides theory and numerical examples for researchers and students to self-study and apply in their research (Codes are provided as supplementary material); Provides theoretical development and numerical examples suitable for graduate courses
ISBN,Price9783030978587
Keyword(s)1. Applied Dynamical Systems 2. DYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. ENGINEERING MECHANICS 7. MACHINE LEARNING 8. MATHEMATICAL PHYSICS 9. Mechanics, Applied 10. NONLINEAR THEORIES
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10.    
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TitleMathematical Methods in Modern Complexity Science
Author(s)Volchenkov, Dimitri;Tenreiro Machado, J. A
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2022.
DescriptionX, 197 p. 94 illus., 69 illus. in color : online resource
Abstract NoteThis book presents recent developments in nonlinear and complex systems. It provides recent theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers information theory, relativistic chaotic dynamics, data analysis, relativistic chaotic dynamics, solvability issues in integro-differential equations, and inverse problems for parabolic differential equations, synchronization and chaotic transient. Presents new concepts for understanding and modeling complex systems
ISBN,Price9783030794125
Keyword(s)1. Applied Dynamical Systems 2. Computational Intelligence 3. DYNAMICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. Engineering???Data processing 8. Mathematical and Computational Engineering Applications 9. MATHEMATICAL PHYSICS 10. NONLINEAR THEORIES
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