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Author  Title  Accn#  Year  Item Type  Claims 
1 
Luo, Albert C. J 
TwoDimensional Quadratic Nonlinear Systems 
I11975 
2021 
eBook 

2 
Boos, Jens 
Effects of Nonlocality in Gravity and Quantum Theory 
I11881 
2021 
eBook 

3 
Zhu, Yichao 
Equations and Analytical Tools in Mathematical Physics 
I11851 
2021 
eBook 

4 
??chsner, Andreas 
Classical Beam Theories of Structural Mechanics 
I11828 
2021 
eBook 

5 
Yoshida, Kentaroh 
Yang???Baxter Deformation of 2D NonLinear Sigma Models 
I11819 
2021 
eBook 

6 
Marinca, Vasile 
Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems 
I11650 
2021 
eBook 

7 
Grigorieva, Elena V 
Asymptotic Representation of Relaxation Oscillations in Lasers 
I10175 
2017 
eBook 

8 
Schuch, Dieter 
Quantum Theory from a Nonlinear Perspective 
I10013 
2018 
eBook 

9 
Maximon, Leonard C 
Differential and Difference Equations 
I09655 
2016 
eBook 

10 
Papachristou, Costas J 
Aspects of Integrability of Differential Systems and Fields 
I09485 
2019 
eBook 


2.


Title  Effects of Nonlocality in Gravity and Quantum Theory 
Author(s)  Boos, Jens 
Publication  Cham, Springer International Publishing, 2021. 
Description  XIX, 210 p. 37 illus., 33 illus. in color : online resource 
Abstract Note  This thesis is devoted to the systematic study of nonlocal theories that respect Lorentz invariance and are devoid of new, unphysical degrees of freedom. Such theories are attractive for phenomenological applications since they are mostly unconstrained by current experiments. Nonlocality has played an increasingly important role in the physics of the last decades, appearing in effective actions in quantum field theory, and arising naturally in string theory and noncommutative geometry. It may even be a necessary ingredient for quantum theories of gravity. It is a feature of quantum entanglement, and may even solve the longstanding black hole information loss problem. ???Nonlocality??? is a broad concept with many promising and fruitful applications in theoretical and mathematical physics. After a historical and pedagogical introduction into the concept of nonlocality the author develops the notion of nonlocal Green functions to study various nonlocal weakfield problems in quantum mechanics, quantum field theory, gravity, and quantum field theory in curved spacetime. This thesis fills a gap in the literature by providing a selfcontained exploration of weakfield effects in nonlocal theories, thereby establishing a ???nonlocal intuition??? which may serve as a stepping stone for studies of the full, nonlinear problem of nonlocality 
ISBN,Price  9783030829100 
Keyword(s)  1. Classical and Quantum Gravity
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK  SPRINGER
5. Fundamental concepts and interpretations of QM
6. GRAVITATION
7. MATHEMATICAL PHYSICS
8. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11881 


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3.


Title  Equations and Analytical Tools in Mathematical Physics : A Concise Introduction 
Author(s)  Zhu, Yichao 
Publication  Singapore, Springer Nature Singapore, 2021. 
Description  XII, 252 p. 37 illus., 29 illus. in color : online resource 
Abstract Note  This book highlights a concise and readable introduction to typical treatments of partial differential equations in mathematical physics. Mathematical physics is regarded by many as a profound discipline. In conventional textbooks of mathematical physics, the known and the new pieces of knowledge often intertwine with each other. The book aims to ease readers' struggle by facilitating a smooth transition to new knowledge. To achieve so, the author designs knowledge maps before each chapter and provides comparative summaries in each chapter whenever appropriate. Through these unique ways, readers can clarify the underlying structures among different equations and extend one's vision to the big picture. The book also emphasizes applications of the knowledge by providing practical examples. The book is intended for all those interested in mathematical physics, enabling them to develop a solid command in using partial differential equations to solve physics and engineering problems in a notsopainful learning experience 
ISBN,Price  9789811654411 
Keyword(s)  1. Applications of Mathematics
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK  SPRINGER
5. Mathematical Methods in Physics
6. MATHEMATICAL PHYSICS
7. MATHEMATICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11851 


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4.


Title  Classical Beam Theories of Structural Mechanics 
Author(s)  ??chsner, Andreas 
Publication  Cham, Springer International Publishing, 2021. 
Description  XIII, 186 p. 160 illus., 70 illus. in color : online resource 
Abstract Note  This book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shearrigid) according to EulerBernoulli, and the theories for thick beams (shearflexible) according to Timoshenko and Levinson. The understanding of basic, i.e., onedimensional structural members, is essential in applied mechanics. A systematic and thorough introduction to the theoretical concepts for onedimensional members keeps the requirements on engineering mathematics quite low, and allows for a simpler transfer to higherorder structural members. The new approach in this textbook is that it treats singleplane bending in the xy plane as well in the xz plane equivalently and applies them to the case of unsymmetrical bending. The fundamental understanding of these onedimensional members allows a simpler understanding of thin and thick plate bending members. Partial differential equations lay the foundation to mathematically describe the mechanical behavior of all classical structural members known in engineering mechanics. Based on the three basic equations of continuum mechanics, i.e., the kinematics relationship, the constitutive law, and the equilibrium equation, these partial differential equations that describe the physical problem can be derived. Nevertheless, the fundamental knowledge from the first years of engineering education, i.e., higher mathematics, physics, materials science, applied mechanics, design, and programming skills, might be required to master this topic 
ISBN,Price  9783030760359 
Keyword(s)  1. CONTINUUM MECHANICS
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK  SPRINGER
5. Mechanics, Applied
6. Solid Mechanics
7. SOLIDS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11828 


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5.


Title  Yang???Baxter Deformation of 2D NonLinear Sigma Models : Towards Applications to AdS/CFT 
Author(s)  Yoshida, Kentaroh 
Publication  Singapore, Springer Nature Singapore, 2021. 
Description  XII, 70 p. 2 illus : online resource 
Abstract Note  In mathematical physics, one of the fascinating issues is the study of integrable systems. In particular, nonperturbative techniques that have been developed have triggered significant insight for real physics. There are basically two notions of integrability: classical integrability and quantum integrability. In this book, the focus is on the former, classical integrability. When the system has a finite number of degrees of freedom, it has been well captured by the Arnold???Liouville theorem. However, when the number of degrees of freedom is infinite, as in classical field theories, the integrable structure is enriched profoundly. In fact, the study of classically integrable field theories has a long history and various kinds of techniques, including the classical inverse scattering method, which have been developed so far. In previously published books, these techniques have been collected and well described and are easy to find in traditional, standard textbooks. One of the intriguing subjects in classically integrable systems is the investigation of deformations preserving integrability. Usually, it is not considered systematic to perform such a deformation, and one must study systems case by case and show the integrability of the deformed systems by constructing the associated Lax pair or actionangle variables. Recently, a new, systematic method to perform integrable deformations of 2D nonlinear sigma models was developed. It was invented by C. Klimcik in 2002, and the integrability of the deformed sigma models was shown in 2008. The original work was done for 2D principal chiral models, but it has been generalized in various directions nowadays. In this book, the recent progress on this Yang???Baxter deformation is described in a pedagogical manner, including some simple examples. Applications of Yang???Baxter deformation to string theory are also described briefly. 
ISBN,Price  9789811617034 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. MATHEMATICAL PHYSICS
5. SPECIAL FUNCTIONS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11819 


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6.


Title  Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems 
Author(s)  Marinca, Vasile;Herisanu, Nicolae;Marinca, Bogdan 
Publication  Cham, Springer International Publishing, 2021. 
Description  XIII, 479 p. 442 illus., 414 illus. in color : online resource 
Abstract Note  This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of ???optimal auxiliary functions??? which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergencecontrol parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books ???Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches???, Springer2011 and ???The Optimal Homotopy Asymptotic Method. Engineering Applications???, Springer2015 
ISBN,Price  9783030756536 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Engineering Fluid Dynamics
5. FLUID MECHANICS
6. FLUIDS
7. Soft condensed matter
8. Surfaces (Technology)
9. Surfaces, Interfaces and Thin Film
10. THERMODYNAMICS
11. THIN FILMS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11650 


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7.


Title  Asymptotic Representation of Relaxation Oscillations in Lasers 
Author(s)  Grigorieva, Elena V;Kaschenko, Sergey A 
Publication  Cham, Springer International Publishing, 2017. 
Description  VIII, 230 p. 73 illus : online resource 
Abstract Note  In this book we analyze relaxation oscillations in models of lasers with nonlinear elements controlling light dynamics. The models are based on rate equations taking into account periodic modulation of parameters, optoelectronic delayed feedback, mutual coupling between lasers, intermodal interaction and other factors. With the aim to study relaxation oscillations we present the special asymptotic method of integration for ordinary differential equations and differentialdifference equations. As a result, they are reduced to discrete maps. Analyzing the maps we describe analytically such nonlinear phenomena in lasers as multistability of largeamplitude relaxation cycles, bifurcations of cycles, controlled switching of regimes, phase synchronization in an ensemble of coupled systems and others. The book can be fruitful for students and technicians in nonlinear laser dynamics and in differential equations 
ISBN,Price  9783319428604 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Engineering Fluid Dynamics
5. FLUID MECHANICS
6. LASERS
7. MATHEMATICAL PHYSICS
8. Optics, Lasers, Photonics, Optical Devices
9. ORDINARY DIFFERENTIAL EQUATIONS
10. PHOTONICS
11. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I10175 


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8.


Title  Quantum Theory from a Nonlinear Perspective : Riccati Equations in Fundamental Physics 
Author(s)  Schuch, Dieter 
Publication  Cham, Springer International Publishing, 2018. 
Description  XIV, 258 p. 15 illus., 7 illus. in color : online resource 
Abstract Note  This book provides a unique survey displaying the power of Riccati equations to describe reversible and irreversible processes in physics and, in particular, quantum physics. Quantum mechanics is supposedly linear, invariant under timereversal, conserving energy and, in contrast to classical theories, essentially based on the use of complex quantities. However, on a macroscopic level, processes apparently obey nonlinear irreversible evolution equations and dissipate energy. The Riccati equation, a nonlinear equation that can be linearized, has the potential to link these two worlds when applied to complex quantities. The nonlinearity can provide information about the phaseamplitude correlations of the complex quantities that cannot be obtained from the linearized form. As revealed in this wide ranging treatment, Riccati equations can also be found in many diverse fields of physics from BoseEinsteincondensates to cosmology. The book will appeal to graduate students and theoretical physicists interested in a consistent mathematical description of physical laws 
ISBN,Price  9783319655949 
Keyword(s)  1. Applications of Nonlinear Dynamics and Chaos Theory
2. DIFFERENTIAL EQUATIONS
3. EBOOK
4. EBOOK  SPRINGER
5. History and Philosophical Foundations of Physics
6. ORDINARY DIFFERENTIAL EQUATIONS
7. PHYSICS
8. QUANTUM PHYSICS
9. STATISTICAL PHYSICS

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10013 


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9.


Title  Differential and Difference Equations : A Comparison of Methods of Solution 
Author(s)  Maximon, Leonard C 
Publication  Cham, Springer International Publishing, 2016. 
Description  XV, 162 p : online resource 
Abstract Note  This book, intended for researchers and graduate students in physics, applied mathematics and engineering, presents a detailed comparison of the important methods of solution for linear differential and difference equations  variation of constants, reduction of order, Laplace transforms and generating functions  bringing out the similarities as well as the significant differences in the respective analyses. Equations of arbitrary order are studied, followed by a detailed analysis for equations of first and second order. Equations with polynomial coefficients are considered and explicit solutions for equations with linear coefficients are given, showing significant differences in the functional form of solutions of differential equations from those of difference equations. An alternative method of solution involving transformation of both the dependent and independent variables is given for both differential and difference equations. A comprehensive, detailed treatment of Green???s functions and the associated initial and boundary conditions is presented for differential and difference equations of both arbitrary and second order. A dictionary of difference equations with polynomial coefficients provides a unique compilation of second order difference equations obeyed by the special functions of mathematical physics. Appendices augmenting the text include, in particular, a proof of Cramer???s rule, a detailed consideration of the role of the superposition principal in the Green???s function, and a derivation of the inverse of Laplace transforms and generating functions of particular use in the solution of second order linear differential and difference equations with linear coefficients 
ISBN,Price  9783319297361 
Keyword(s)  1. APPLIED MATHEMATICS
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. DIFFERENTIAL EQUATIONS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. FUNCTIONAL EQUATIONS
9. Mathematical and Computational Engineering
10. Mathematical Applications in the Physical Sciences
11. Mathematical Methods in Physics
12. MATHEMATICAL PHYSICS
13. ORDINARY DIFFERENTIAL EQUATIONS
14. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09655 


On Shelf 



 