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Author  Title  Accn#  Year  Item Type  Claims 
11 
KosmannSchwarzbach, Yvette 
Integrability of Nonlinear Systems 
I10537 
2004 
eBook 

12 
Jeffrey, Alan 
Matrix Operations for Engineers and Scientists 
I07416 
2010 
eBook 

13 
Exner, Pavel 
Quantum Waveguides 
I06456 
2015 
eBook 

14 
Bremer, Hartmut 
Elastic Multibody Dynamics 
I05622 
2008 
eBook 

15 
Conte, Robert M 
The Painlev?? Handbook 
I05621 
2008 
eBook 

16 
Granas, Andrzej 
Topological Methods in Differential Equations and Inclusions 
I05285 
1995 
eBook 

17 
Sim??, Carles 
Hamiltonian Systems with Three or More Degrees of Freedom 
I03898 
1999 
eBook 

18 
Adomian, G 
Solving Frontier Problems of Physics: The Decomposition Method 
I03051 
1994 
eBook 

19 
Clarkson, P.A 
Applications of Analytic and Geometric Methods to Nonlinear Differential Equations 
I02446 
1993 
eBook 

20 
Schlomiuk, Dana 
Bifurcations and Periodic Orbits of Vector Fields 
I01719 
1993 
eBook 


11.


Title  Integrability of Nonlinear Systems 
Author(s)  KosmannSchwarzbach, Yvette;Grammaticos, Basil;Tamizhmani, K.M 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2004. 
Description  XII, 340 p : online resource 
Abstract Note  The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics 
ISBN,Price  9783540409625 
Keyword(s)  1. COMPLEX SYSTEMS
2. DIFFERENTIAL EQUATIONS
3. DYNAMICAL SYSTEMS
4. EBOOK
5. EBOOK  SPRINGER
6. Mathematical Methods in Physics
7. ORDINARY DIFFERENTIAL EQUATIONS
8. PARTIAL DIFFERENTIAL EQUATIONS
9. PHYSICS
10. STATISTICAL PHYSICS
11. Statistical Physics and Dynamical Systems

Item Type  eBook 
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12.


Title  Matrix Operations for Engineers and Scientists : An Essential Guide in Linear Algebra 
Author(s)  Jeffrey, Alan 
Publication  Dordrecht, Springer Netherlands, 2010. 
Description  IV, 278 p : online resource 
Abstract Note  Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the Univesity of Newcastle upon Tyne. He has given courses on engineering mathematics in UK and US Universities 
ISBN,Price  9789048192748 
Keyword(s)  1. ALGEBRA
2. APPLIED MATHEMATICS
3. DIFFERENTIAL EQUATIONS
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. Linear and Multilinear Algebras, Matrix Theory
8. Mathematical and Computational Engineering
9. Mathematical Methods in Physics
10. MATRIX THEORY
11. ORDINARY DIFFERENTIAL EQUATIONS
12. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I07416 


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13.


Title  Quantum Waveguides 
Author(s)  Exner, Pavel;Kova????k, Hynek 
Publication  Cham, Springer International Publishing, 2015. 
Description  XXII, 382 p. 9 illus., 3 illus. in color : online resource 
Abstract Note  This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly selfcontained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field 
ISBN,Price  9783319185767 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. OPERATOR THEORY
7. ORDINARY DIFFERENTIAL EQUATIONS
8. PHYSICS
9. QUANTUM PHYSICS
10. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I06456 


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14.


Title  Elastic Multibody Dynamics : A Direct Ritz Approach 
Author(s)  Bremer, Hartmut 
Publication  Dordrecht, Springer Netherlands, 2008. 
Description  X, 452 p : online resource 
Abstract Note  This textbook is an introduction to and exploration of a number of core topics in the field of applied mechanics: On the basis of Lagrange's Principle, a Central Equation of Dynamics is presented which yields a unified view on existing methods. From these, the Projection Equation is selected for the derivation of the motion equations of holonomic and of nonholonomic systems. The method is applied to rigid multibody systems where the rigid body is defined such that, by relaxation of the rigidity constraints, one can directly proceed to elastic bodies. A decomposition into subsystems leads to a minimal representation and to a recursive representation, respectively, of the equations of motion. Applied to elastic multibody systems one obtains, along with the use of spatial operators, a straighton procedure for the interconnected partial and ordinary differential equations and the corresponding boundary conditions. The spatial operators are eventually applied to a RITZ series for approximation. The resulting equations then appear in the same structure as in rigid multibody systems. The main emphasis is laid on methodical as well as on (graduate level) educational aspects. The text is accompanied by a large number of examples and applications, e.g., from rotor dynamics and robotics. The mathematical prerequisites are subsumed in a short excursion into stability and control 
ISBN,Price  9781402086809 
Keyword(s)  1. CLASSICAL MECHANICS
2. DIFFERENTIAL EQUATIONS
3. DYNAMICAL SYSTEMS
4. DYNAMICS
5. EBOOK
6. EBOOK  SPRINGER
7. Mathematical Methods in Physics
8. MECHANICS
9. ORDINARY DIFFERENTIAL EQUATIONS
10. PARTIAL DIFFERENTIAL EQUATIONS
11. PHYSICS
12. VIBRATION
13. Vibration, Dynamical Systems, Control

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Call#  Status  Issued To  Return Due On  Physical Location 
I05622 


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15.


Title  The Painlev?? Handbook 
Author(s)  Conte, Robert M;Musette, Micheline 
Publication  Dordrecht, Springer Netherlands, 2008. 
Description  XXIII, 256 p : online resource 
Abstract Note  Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reactiondiffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlev?? test. If the equation under study passes the Painlev?? test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schr??dinger equation (continuous and discrete), the Kortewegde Vries equation, the H??nonHeiles Hamiltonians, on the nonintegrable side the complex GinzburgLandau equation (encountered in optical fibers, turbulence, etc), the KuramotoSivashinsky equation (phase turbulence), the KolmogorovPetrovskiPiskunov equation (KPP, a reactiondiffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research 
ISBN,Price  9781402084911 
Keyword(s)  1. APPLIED MATHEMATICS
2. Chemometrics
3. DIFFERENTIAL EQUATIONS
4. Dynamical Systems and Ergodic Theory
5. DYNAMICS
6. EBOOK
7. EBOOK  SPRINGER
8. ENGINEERING MATHEMATICS
9. ERGODIC THEORY
10. Math. Applications in Chemistry
11. Mathematical and Computational Engineering
12. Mathematical Methods in Physics
13. ORDINARY DIFFERENTIAL EQUATIONS
14. PARTIAL DIFFERENTIAL EQUATIONS
15. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I05621 


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17.


Title  Hamiltonian Systems with Three or More Degrees of Freedom 
Author(s)  Sim??, Carles 
Publication  Dordrecht, Springer Netherlands, 1999. 
Description  XXIV, 658 p : online resource 
Abstract Note  A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of the applications are nonintegrable. Hence methods to prove nonintegrability results are presented and the different meaning attributed to nonintegrability are discussed. For systems near an integrable one, it can be shown that, under suitable conditions, some parts of the integrable structure, most of the invariant tori, survive. Many of the papers discuss nearintegrable systems. From a topological point of view, some singularities must appear in different problems, either caustics, geodesics, moving wavefronts, etc. This is also related to singularities in the projections of invariant objects, and can be used as a signature of these objects. Hyperbolic dynamics appear as a source on unpredictable behaviour and several mechanisms of hyperbolicity are presented. The destruction of tori leads to AubreyMather objects, and this is touched on for a related class of systems. Examples without periodic orbits are constructed, against a classical conjecture. Other topics concern higher dimensional systems, either finite (networks and localised vibrations on them) or infinite, like the quasiperiodic Schr??dinger operator or nonlinear hyperbolic PDE displaying quasiperiodic solutions. Most of the applications presented concern celestial mechanics problems, like the asteroid problem, the design of spacecraft orbits, and methods to compute periodic solutions 
ISBN,Price  9789401146739 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CLASSICAL MECHANICS
4. DIFFERENTIAL EQUATIONS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. GLOBAL ANALYSIS (MATHEMATICS)
9. Global Analysis and Analysis on Manifolds
10. Manifolds (Mathematics)
11. MECHANICS
12. ORDINARY DIFFERENTIAL EQUATIONS
13. PARTIAL DIFFERENTIAL EQUATIONS

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Call#  Status  Issued To  Return Due On  Physical Location 
I03898 


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18.


Title  Solving Frontier Problems of Physics: The Decomposition Method 
Author(s)  Adomian, G 
Publication  Dordrecht, Springer Netherlands, 1994. 
Description  XIV, 354 p : online resource 
Abstract Note  The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundaryvalue problems. This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationallyintensive approaches. The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundaryvalue problems with closed irregular contours or surfaces, and other frontier areas. The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted. For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations 
ISBN,Price  9789401582896 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. DIFFERENTIAL EQUATIONS
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. MATHEMATICAL PHYSICS
8. ORDINARY DIFFERENTIAL EQUATIONS
9. PARTIAL DIFFERENTIAL EQUATIONS
10. Theoretical, Mathematical and Computational Physics

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I03051 


On Shelf 




19.


Title  Applications of Analytic and Geometric Methods to Nonlinear Differential Equations 
Author(s)  Clarkson, P.A 
Publication  Dordrecht, Springer Netherlands, 1993. 
Description  X, 477 p : online resource 
Abstract Note  In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the selfdual YangMills (SDYM) equations, a fourdimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied. Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. `soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlev?? analysis of partial differential equations, studies of the Painlev?? equations and symmetry reductions of nonlinear partial differential equations. (ABSTRACT) In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for `soliton' equations and twistor theory, for the selfdual YangMills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlev?? analysis of partial differential equations, studies of the Painlev?? equations and symmetry reductions of nonlinear partial differential equations 
ISBN,Price  9789401120821 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. DIFFERENTIAL EQUATIONS
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. GLOBAL ANALYSIS (MATHEMATICS)
8. Global Analysis and Analysis on Manifolds
9. Manifolds (Mathematics)
10. Mathematical and Computational Engineering
11. MATHEMATICAL PHYSICS
12. ORDINARY DIFFERENTIAL EQUATIONS
13. PARTIAL DIFFERENTIAL EQUATIONS
14. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I02446 


On Shelf 



 