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Author  Title  Accn#  Year  Item Type  Claims 
1 
Milstein, Grigori N 
Stochastic Numerics for Mathematical Physics 
I11924 
2021 
eBook 

2 
Saravanan, Rajendran 
Solvable OneDimensional MultiState Models for Statistical and Quantum Mechanics 
I11908 
2021 
eBook 

3 
Selinger, Jonathan V 
Introduction to the Theory of Soft Matter 
I10283 
2016 
eBook 

4 
Kantorovich, Lev 
Mathematics for Natural Scientists II 
I10062 
2016 
eBook 

5 
Sahni, Viraht 
Quantal Density Functional Theory 
I09642 
2016 
eBook 

6 
Kantorovich, Lev 
Mathematics for Natural Scientists 
I09133 
2016 
eBook 

7 
Conte, Robert 
The Painlev?? Handbook 
I09128 
2020 
eBook 

8 
Seaborn, James B 
Mathematics for the Physical Sciences 
I11155 
2002 
eBook 

9 
Hassani, Sadri 
Mathematical Methods Using Mathematica?? 
I10927 
2003 
eBook 

10 
Shizgal, Bernard 
Spectral Methods in Chemistry and Physics 
I08216 
2015 
eBook 


1.


Title  Stochastic Numerics for Mathematical Physics 
Author(s)  Milstein, Grigori N;Tretyakov, Michael V 
Publication  Cham, Springer International Publishing, 2021. 
Description  XXV, 736 p. 33 illus : online resource 
Abstract Note  This book is a substantially revised and expanded edition reflecting major developments in stochastic numerics since the first edition was published in 2004. The new topics, in particular, include meansquare and weak approximations in the case of nonglobally Lipschitz coefficients of Stochastic Differential Equations (SDEs) including the concept of rejecting trajectories; conditional probabilistic representations and their application to practical variance reduction using regression methods; multilevel Monte Carlo method; computing ergodic limits and additional classes of geometric integrators used in molecular dynamics; numerical methods for FBSDEs; approximation of parabolic SPDEs and nonlinear filtering problem based on the method of characteristics. SDEs have many applications in the natural sciences and in finance. Besides, the employment of probabilistic representations together with the Monte Carlo technique allows us to reduce the solution of multidimensional problems for partial differential equations to the integration of stochastic equations. This approach leads to powerful computational mathematics that is presented in the treatise. Many special schemes for SDEs are presented. In the second part of the book numerical methods for solving complicated problems for partial differential equations occurring in practical applications, both linear and nonlinear, are constructed. All the methods are presented with proofs and hence founded on rigorous reasoning, thus giving the book textbook potential. An overwhelming majority of the methods are accompanied by the corresponding numerical algorithms which are ready for implementation in practice. The book addresses researchers and graduate students in numerical analysis, applied probability, physics, chemistry, and engineering as well as mathematical biology and financial mathematics 
ISBN,Price  9783030820404 
Keyword(s)  1. BIOMATHEMATICS
2. Chemometrics
3. Computational Science and Engineering
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. Engineering???Data processing
8. Mathematical and Computational Biology
9. Mathematical and Computational Engineering Applications
10. Mathematical Applications in Chemistry
11. MATHEMATICAL PHYSICS
12. Mathematics in Business, Economics and Finance
13. Mathematics???Data processing
14. Social sciences???Mathematics
15. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I11924 


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2.


Title  Solvable OneDimensional MultiState Models for Statistical and Quantum Mechanics 
Author(s)  Saravanan, Rajendran;Chakraborty, Aniruddha 
Publication  Singapore, Springer Nature Singapore, 2021. 
Description  XIX, 174 p. 94 illus., 44 illus. in color : online resource 
Abstract Note  This book highlights the need for studying multistate models analytically for understanding the physics of molecular processes. An intuitive picture about recently solved models of statistical and quantum mechanics is drawn along with presenting the methods developed to solve them. The models are relevant in the context of molecular processes taking place in gaseous phases and condensed phases, emphasized in the introduction. Chapter 1 derives the arisal of multistate models for molecular processes from the full Hamiltonian description. The model equations are introduced and the literature review presented in short. In Chapter 2, the timedomain methods to solve Smoluchowskibased reactiondiffusion systems with singlestate and twostate descriptions are discussed. Their corresponding analytical results derive new equilibrium concepts in reversible reactions and studies the effect of system and molecular parameters in condensedphase chemical dynamics. In Chapter 3, timedomain methods to solve quantum scattering problems are developed. Along side introducing a brand new solvable model in quantum scattering, it discusses transient features of quantum twostate models. In interest with electronic transitions, a new solvable twostate model with localized nonadiabatic coupling is also presented. The book concludes by proposing the future scope of the model, thereby inviting new research in this fundamentally important and rich applicable field 
ISBN,Price  9789811666544 
Keyword(s)  1. Chemometrics
2. EBOOK
3. EBOOK  SPRINGER
4. Mathematical Applications in Chemistry
5. MATHEMATICAL PHYSICS
6. MATHEMATICAL STATISTICS
7. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11908 


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3.


Title  Introduction to the Theory of Soft Matter : From Ideal Gases to Liquid Crystals 
Author(s)  Selinger, Jonathan V 
Publication  Cham, Springer International Publishing, 2016. 
Description  X, 185 p. 78 illus., 69 illus. in color : online resource 
Abstract Note  This book presents the theory of soft matter to students at the advanced undergraduate or beginning graduate level. It provides a basic introduction to theoretical physics as applied to soft matter, explaining the concepts of symmetry, broken symmetry, and order parameters; phases and phase transitions; meanfield theory; and the mathematics of variational calculus and tensors. It is written in an informal, conversational style, which is accessible to students from a diverse range of backgrounds. The book begins with a simple ???toy model??? to demonstrate the physical significance of free energy. It then introduces two standard theories of phase transitions???the Ising model for ferromagnetism and van der Waals theory of gases and liquids???and uses them to illustrate principles of statistical mechanics. From those examples, it moves on to discuss order, disorder, and broken symmetry in many states of matter, and to explain the theoretical methods that are used to model the phenomena. It concludes with a chapter on liquid crystals, which brings together all of these physical and mathematical concepts. The book is accompanied by a set of ???interactive figures,??? which allow online readers to change parameters and see what happens to a graph, some allow users to rotate a plot or other graphics in 3D, and some do both. These interactive figures help students to develop their intuition for the physical meaning of equations. This book will prepare advanced undergraduate or early graduate students to go into more advanced theoretical studies. It will also equip students going into experimental soft matter science to be fully conversant with the theoretical aspects and have effective collaborations with theorists 
ISBN,Price  9783319210544 
Keyword(s)  1. Amorphous substances
2. Biomedical engineering
3. Biomedical Engineering and Bioengineering
4. Chemometrics
5. Complex fluids
6. EBOOK
7. EBOOK  SPRINGER
8. Math. Applications in Chemistry
9. PHYSICAL CHEMISTRY
10. Soft and Granular Matter, Complex Fluids and Microfluidics

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10283 


On Shelf 




4.


Title  Mathematics for Natural Scientists II : Advanced Methods 
Author(s)  Kantorovich, Lev 
Publication  Cham, Springer International Publishing, 2016. 
Description  XVII, 675 p. 107 illus., 104 illus. in color : online resource 
Abstract Note  This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter. Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics 
ISBN,Price  9783319278612 
Keyword(s)  1. APPLIED MATHEMATICS
2. Chemometrics
3. EBOOK
4. EBOOK  SPRINGER
5. ENGINEERING MATHEMATICS
6. Math. Applications in Chemistry
7. Mathematical and Computational Engineering
8. Mathematical Applications in the Physical Sciences
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. Numerical and Computational Physics, Simulation
12. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I10062 


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5.


Title  Quantal Density Functional Theory 
Author(s)  Sahni, Viraht 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2016. 
Description  XIX, 413 p. 71 illus., 20 illus. in color : online resource 
Abstract Note  This book deals with quantal density functional theory (QDFT) which is a timedependent local effective potential theory of the electronic structure of matter. The treated timeindependent QDFT constitutes a special case. In the 2nd edition, the theory is extended to include the presence of external magnetostatic fields. The theory is a description of matter based on the ???quantal Newtonian??? first and second laws which is in terms of ???classical??? fields that pervade all space, and their quantal sources. The fields, which are explicitly defined, are separately representative of electron correlations due to the Pauli exclusion principle, Coulomb repulsion, correlationkinetic, correlationcurrentdensity, and correlationmagnetic effects. The book further describes Schr??dinger theory from the new physical perspective of fields and quantal sources. It also describes traditional HohenbergKohnSham DFT, and explains via QDFT the physics underlying the various energy functionals and functional derivatives of the traditional approach to electronic structure. 
ISBN,Price  9783662498422 
Keyword(s)  1. Chemometrics
2. EBOOK
3. EBOOK  SPRINGER
4. Interfaces (Physical sciences)
5. Materials???Surfaces
6. Math. Applications in Chemistry
7. MATHEMATICAL PHYSICS
8. Surface and Interface Science, Thin Films
9. Surfaces (Physics)
10. Surfaces and Interfaces, Thin Films
11. Theoretical, Mathematical and Computational Physics
12. THIN FILMS

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09642 


On Shelf 




6.


Title  Mathematics for Natural Scientists : Fundamentals and Basics 
Author(s)  Kantorovich, Lev 
Publication  New York, NY, Springer New York, 2016. 
Description  XVII, 526 p. 124 illus., 118 illus. in color : online resource 
Abstract Note  This book, the first in a two part series, covers a course of mathematics tailored specifically for physics, engineering and chemistry students at the undergraduate level. It is unique in that it begins with logical concepts of mathematics first encountered at Alevel and covers them in thorough detail, filling in the gaps in students' knowledge and reasoning. Then the book aids the leap between Alevel and universitylevel mathematics, with complete proofs provided throughout and all complex mathematical concepts and techniques presented in a clear and transparent manner. Numerous examples and problems (with answers) are given for each section and, where appropriate, mathematical concepts are illustrated in a physics context. This text gives an invaluable foundation to students and a comprehensive aid to lecturers. 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 
ISBN,Price  9781493927852 
Keyword(s)  1. APPLIED MATHEMATICS
2. Chemometrics
3. EBOOK
4. EBOOK  SPRINGER
5. ENGINEERING MATHEMATICS
6. Math. Applications in Chemistry
7. Mathematical and Computational Engineering
8. Mathematical Applications in the Physical Sciences
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. Numerical and Computational Physics, Simulation
12. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09133 


On Shelf 




7.


Title  The Painlev?? Handbook 
Author(s)  Conte, Robert;Musette, Micheline 
Publication  Cham, Springer International Publishing, 2020. 
Description  XXXI, 389 p. 15 illus., 6 illus. in color : online resource 
Abstract Note  This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlev?? test and shows how Painlev?? analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schr??dinger equation, the Kortewegde Vries equation, H??nonHeiles type Hamiltonians, and numerous physically relevant examples such as the KuramotoSivashinsky equation, the KolmogorovPetrovskiPiskunov equation, and mainly the cubic and quintic GinzburgLandau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic GinzburgLandau equations; a close look at physical problems involving the sixth Painlev?? function; and an overview of new results since the book???s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences 
ISBN,Price  9783030533403 
Keyword(s)  1. APPLIED MATHEMATICS
2. Chemometrics
3. Dynamical Systems and Ergodic Theory
4. DYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. ERGODIC THEORY
9. Math. Applications in Chemistry
10. Mathematical and Computational Engineering
11. Mathematical Methods in Physics
12. MATHEMATICAL PHYSICS
13. PARTIAL DIFFERENTIAL EQUATIONS
14. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09128 


On Shelf 




8.


Title  Mathematics for the Physical Sciences 
Author(s)  Seaborn, James B 
Publication  New York, NY, Springer New York, 2002. 
Description  XI, 245 p : online resource 
Abstract Note  This book is intended to provide a mathematical bridge from a general physics course to intermediatelevel courses in classical mechanics, electricity and mag?? netism, and quantum mechanics. The book begins with a short review of a few topics that should be familiar to the student from a general physics course. These examples will be used throughout the rest of the book to provide physical con?? texts for introducing the mathematical applications. The next two chapters are devoted to making the student familiar with vector operations in algebra and cal?? culus. Students will have already become acquainted with vectors in the general physics course. The notion of magnetic flux provides a physical connection with the integral theorems of vector calculus. A very short chapter on complex num?? bers is sufficient to supply the needed background for the minor role played by complex numbers in the remainder of the text. Mathematical applications in in?? termediate and advanced undergraduate courses in physics are often in the form of ordinary or partial differential equations. Ordinary differential equations are introduced in Chapter 5. The ubiquitous simple harmonic oscillator is used to il?? lustrate the series method of solving an ordinary, linear, secondorder differential equation. The onedimensional, timedependent SchrOdinger equation provides an illus?? tration for solving a partial differential equation by the method of separation of variables in Chapter 6 
ISBN,Price  9781468492798 
Keyword(s)  1. APPLIED MATHEMATICS
2. Chemometrics
3. EBOOK
4. EBOOK  SPRINGER
5. ENGINEERING MATHEMATICS
6. Math. Applications in Chemistry
7. Mathematical and Computational Engineering
8. Mathematical Methods in Physics
9. Numerical and Computational Physics, Simulation
10. PHYSICS

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11155 


On Shelf 




10.
 
Title  Spectral Methods in Chemistry and Physics : Applications to Kinetic Theory and Quantum Mechanics 
Author(s)  Shizgal, Bernard 
Publication  Dordrecht, Springer Netherlands, 2015. 
Description  XVII, 415 p. 102 illus., 2 illus. in color : online resource 
Abstract Note  This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. The main objective of this book is to provide the basic concepts to enable the use of spectral and pseudospectral methods to solve problems in diverse fields of interest and to a wide audience. While spectral methods are generally based on Fourier Series or Chebychev polynomials, nonclassical polynomials and associated quadratures are used for many of the applications presented in the book. Fourier series methods are summarized with a discussion of the resolution of the Gibbs phenomenon. Classical and nonclassical quadratures are used for the evaluation of integrals in reaction dynamics including nuclear fusion, radial integrals in density functional theory, in elastic scattering theory and other applications. The subject matter includes the calculation of transport coefficients in gases and other gas dynamical problems based on spectral and pseudospectral solutions of the Boltzmann equation. Radiative transfer in astrophysics and atmospheric science, and applications to space physics are discussed.?? The relaxation of initial nonequilibrium distributions to equilibrium for several different systems is studied with the Boltzmann and FokkerPlanck equations. The eigenvalue spectra of the linear operators in the Boltzmann, FokkerPlanck and Schr??dinger equations are studied with spectral and pseudospectral methods based on nonclassical orthogonal polynomials. The numerical methods referred to as the Discrete Ordinate Method, Differential Quadrature, the Quadrature Discretization Method, the Discrete Variable Representation, the Lagrange Mesh Method, and others are discussed and compared. MATLAB codes are provided for most of the numerical results reported in the book 
ISBN,Price  9789401794541 
Keyword(s)  1. Chemometrics
2. EBOOK
3. EBOOK  SPRINGER
4. Math. Applications in Chemistry
5. MATHEMATICAL PHYSICS
6. PHYSICAL CHEMISTRY
7. QUANTUM PHYSICS
8. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08216 


On Shelf 



 