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Author  Title  Accn#  Year  Item Type  Claims 
1 
Bargue??o, Pedro 
The GerochHeldPenrose Calculus 
I12839 
2023 
eBook 

2 
Leonel, Edson Denis 
Dynamical Phase Transitions in Chaotic Systems 
I12794 
2023 
eBook 

3 
Gordon, Ron 
Complex Integration 
I12609 
2023 
eBook 

4 
Durst, Franz 
Fluid Mechanics 
I12432 
2022 
Book 

5 
Musielak, Dora 
Leonhard Euler and the Foundations of Celestial Mechanics 
I12301 
2022 
Book 

6 
Ferreira, M??rio F. S 
Dissipative Optical Solitons 
I12206 
2022 
Book 

7 
??rl??, Ramis 
Progress in Turbulence IX 
I11870 
2021 
eBook 

8 
Nagao, Hidehito 
Pad?? Methods for Painlev?? Equations 
I11676 
2021 
eBook 

9 
Leonel, Edson Denis 
Scaling Laws in Dynamical Systems 
I11671 
2021 
eBook 

10 
Doyle, James F 
Spectral Analysis of Nonlinear Elastic Shapes 
I09613 
2020 
eBook 


1.


Title  The GerochHeldPenrose Calculus : Fundamentals and Applications 
Author(s)  Bargue??o, Pedro;Contreras, Ernesto 
Publication  Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. 
Description  XVI, 70 p. 2 illus : online resource 
Abstract Note  This book offers a primer on the fundamentals and applications of the GerochHeldPenrose (GHP) calculus, a powerful formalism designed for spacetimes that occur frequently in the teaching of General Relativity. Specifically, the book shows in detail the power of the calculus when dealing with spherically symmetric spacetimes. After introducing the basics, a new look at all the classical spherically symmetric black hole solutions is given within the GHP formalism. This is then employed to give new insights into the TolmanOppenheimerVolkoff equations for stellar structure, including a derivation of new exact anisotropic fluid solutions. Finally, a rewriting of some essential features of black hole thermodynamics within the GHP formalism is performed. The book is based on the authors' lecture notes, used in their undergraduate and graduate lectures and while supervising their upper undergraduate and graduate students. To fully benefit from this concise primer, readers only need an undergraduate background in general relativity 
ISBN,Price  9783031429484 
Keyword(s)  1. EBOOK  SPRINGER
2. Foundations of Physics and Cosmology
3. GENERAL RELATIVITY
4. GENERAL RELATIVITY (PHYSICS)
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. Integral Transforms and Operational Calculus
8. Manifolds (Mathematics)
9. MATHEMATICAL ANALYSIS
10. MATHEMATICAL PHYSICS
11. SCIENCE
12. Theoretical, Mathematical and Computational Physics

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I12839 


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2.


Title  Dynamical Phase Transitions in Chaotic Systems 
Author(s)  Leonel, Edson Denis 
Publication  Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. 
Description  XVI, 74 p. 23 illus., 16 illus. in color : online resource 
Abstract Note  This book discusses some scaling properties and characterizes twophase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to nonintegrability observed in a twodimensional, nonlinear, and areapreserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in timedependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to nonintegrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior or graduatelevel students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering 
ISBN,Price  9789819922444 
Keyword(s)  1. CONDENSED MATTER
2. DYNAMICAL SYSTEMS
3. EBOOK  SPRINGER
4. MATHEMATICAL ANALYSIS
5. Phase Transitions and Multiphase Systems
6. SCALE INVARIANCE

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Call#  Status  Issued To  Return Due On  Physical Location 
I12794 


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3.


Title  Complex Integration : A Compendium of Smart and LittleKnown Techniques for Evaluating Integrals and Sums 
Author(s)  Gordon, Ron 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2023. 
Description  XVIII, 239 p. 36 illus., 3 illus. in color : online resource 
Abstract Note  Integrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate students who have had two semesters of calculus, are usually limited to a very small set of problems. Few practitioners consider complex integration as a tool for computing difficult integrals. While there are a number of books on the market that provide tutorials on this subject, the existing texts in this field focus on real methods. Accordingly, this book offers an eyeopening experience for computation enthusiasts used to relying on clever substitutions and transformations to evaluate integrals and sums. The book is the result of nine years of providing solutions to difficult calculus problems on forums such as Math Stack Exchange or the author's website, residuetheorem.com.It serves to detail to the enthusiastic mathematics undergraduate, or the physics or engineering graduate student, the art and science of evaluating difficult integrals, sums, and products 
ISBN,Price  9783031242281 
Keyword(s)  1. EBOOK  SPRINGER
2. ENGINEERING
3. ENGINEERING MATHEMATICS
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. FUNCTIONS OF REAL VARIABLES
7. Integral Transforms and Operational Calculus
8. MATHEMATICAL ANALYSIS
9. Mathematical and Computational Engineering Applications
10. Mathematical Methods in Physics
11. MATHEMATICAL PHYSICS
12. REAL FUNCTIONS

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Call#  Status  Issued To  Return Due On  Physical Location 
I12609 


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4.


Title  Fluid Mechanics : An Introduction to the Theory of Fluid Flows 
Author(s)  Durst, Franz 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2022. 
Description  XX, 818 p. 398 illus., 13 illus. in color : online resource 
Abstract Note  This book provides the fundamental knowledge allowing students in engineering and natural sciences to enter fluid mechanics and its applications in various fields where fluid flows need to be dealt with. Analytical treatments of flows are provided based on the ???Conventional NavierStokesEquations??? (CNSE). The physics and mathematics of fundamental flow problems are explained in such detail that the reader receives a good introduction into the subject. Numerical methods and experimental techniques, applied in fluid mechanics, are also introduced. This second edition of the book stresses that the CNSE are incomplete. They are missing molecular transport terms. These terms are derived in the book to yield the ???Extended NavierStokesEquations???. These equations allow flows with strong fluid property gradients to be treated correctly, while the CNSE do not allow this. The main benefit the reader will derive from the book is a sound introduction into various aspects of fluid mechanics 
ISBN,Price  9783662639153 
Keyword(s)  1. ANALYSIS
2. CONTINUUM MECHANICS
3. EBOOK
4. EBOOK  SPRINGER
5. Engineering Fluid Dynamics
6. FLUID MECHANICS
7. MATHEMATICAL ANALYSIS
8. PHYSICAL CHEMISTRY

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Call#  Status  Issued To  Return Due On  Physical Location 
I12432 


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5.


Title  Leonhard Euler and the Foundations of Celestial Mechanics 
Author(s)  Musielak, Dora 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XXVIII, 208 p. 65 illus., 17 illus. in color : online resource 
Abstract Note  The intention of this book is to shine a bright light on the intellectual context of Euler???s contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler???s analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the SunEarthMoon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general nbody problem and who discovered the three collinear points in the threebody problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the SunEarthMoon system, while future missions to study the universe will place observatories in orbit around SunEarth and EarthMoon equilibrium points that should be properly called EulerLagrange points. In this book, the author uses Euler???s memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time 
ISBN,Price  9783031123221 
Keyword(s)  1. ANALYSIS
2. ASTRONAUTICS
3. Astronomers???Biography
4. Biographies of Physicists and Astronomers
5. CLASSICAL MECHANICS
6. EBOOK
7. EBOOK  SPRINGER
8. GRAVITATION
9. History of Physics and Astronomy
10. MATHEMATICAL ANALYSIS
11. MECHANICS
12. NEWTONIAN PHYSICS
13. Outer space???Exploration
14. Physicists???Biography
15. Physics???History
16. Space Exploration and Astronautics

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Call#  Status  Issued To  Return Due On  Physical Location 
I12301 


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6.


Title  Dissipative Optical Solitons 
Author(s)  Ferreira, M??rio F. S 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XII, 364 p. 175 illus., 163 illus. in color : online resource 
Abstract Note  This book introduces the basic concept of a dissipative soliton, before going to explore recent theoretical and experimental results for various classes of dissipative optical solitons, highenergy dissipative solitons and their applications, and modelocked fiber lasers. A soliton is a concept which describes various physical phenomena ranging from solitary waves forming on water to ultrashort optical pulses propagating in an optical fiber. While solitons are usually attributed to integrability, in recent years the notion of a soliton has been extended to various systems which are not necessarily integrable. Until now, the main emphasis has been given to wellknown conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of nonintegrable and nonconservative systems leading to the concept of socalled dissipative optical solitons. Dissipative optical solitons have many unique properties which differ from those of their conservative counterparts. For example, except for very few cases, they form zeroparameter families and their properties are completely determined by the external parameters of the optical system. They can exist indefinitely in time, as long as these parameters stay constant. These features of dissipative solitons are highly desirable for several applications, such as inline regeneration of optical data streams and generation of stable trains of laser pulses by modelocked cavities 
ISBN,Price  9783030974930 
Keyword(s)  1. ANALYSIS
2. EBOOK
3. EBOOK  SPRINGER
4. LASER
5. LASERS
6. MATHEMATICAL ANALYSIS
7. MATHEMATICAL PHYSICS
8. Microwaves, RF Engineering and Optical Communications
9. QUANTUM OPTICS
10. TELECOMMUNICATION

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Call#  Status  Issued To  Return Due On  Physical Location 
I12206 


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7.


Title  Progress in Turbulence IX : Proceedings of the iTi Conference in Turbulence 2021 
Author(s)  ??rl??, Ramis;Talamelli, Alessandro;Peinke, Joachim;Oberlack, Martin 
Publication  Cham, Springer International Publishing, 2021. 
Description  XVIII, 315 p. 158 illus., 127 illus. in color : online resource 
Abstract Note  This volume collects the edited and reviewed contribution presented in the 9th iTi Conference that took place virtually, covering fundamental and applied aspects in turbulence. In the spirit of the iTi conference, the volume is produced after the conference so that the authors had the opportunity to incorporate comments and discussions raised during the meeting. In the present book, the contributions have been structured according to the topics: I Experiments II Simulations and Modelling III Data Processing and Scaling IV Theory V Miscellaneous topics 
ISBN,Price  9783030807160 
Keyword(s)  1. ANALYSIS
2. Applied Dynamical Systems
3. CIVIL ENGINEERING
4. Classical and Continuum Physics
5. DYNAMICS
6. EBOOK
7. EBOOK  SPRINGER
8. Engineering Fluid Dynamics
9. FLUID MECHANICS
10. MATHEMATICAL ANALYSIS
11. NONLINEAR OPTICS
12. NONLINEAR THEORIES
13. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11870 


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8.


Title  Pad?? Methods for Painlev?? Equations 
Author(s)  Nagao, Hidehito;Yamada, Yasuhiko 
Publication  Singapore, Springer Nature Singapore, 2021. 
Description  VIII, 90 p. 2 illus., 1 illus. in color : online resource 
Abstract Note  The isomonodromic deformation equations such as the Painlev?? and Garnier systems are an important class of nonlinear differential equations in mathematics and mathematical physics. For discrete analogs of these equations in particular, much progress has been made in recent decades. Various approaches to such isomonodromic equations are known: the Painlev?? test/Painlev?? property, reduction of integrable hierarchy, the Lax formulation, algebrogeometric methods, and others. Among them, the Pad?? method explained in this book provides a simple approach to those equations in both continuous and discrete cases. For a given function f(x), the Pad?? approximation/interpolation supplies the rational functions P(x), Q(x) as approximants such as f(x)~P(x)/Q(x). The basic idea of the Pad?? method is to consider the linear differential (or difference) equations satisfied by P(x) and f(x)Q(x). In choosing the suitable approximation problem, the linear differential equations give the Lax pair for some isomonodromic equations. Although this relation between the isomonodromic equations and Pad?? approximations has been known classically, a systematic study including discrete cases has been conducted only recently. By this simple and easy procedure, one can simultaneously obtain various results such as the nonlinear evolution equation, its Lax pair, and their special solutions. In this way, the method is a convenient means of approaching the isomonodromic deformation equations 
ISBN,Price  9789811629983 
Keyword(s)  1. ANALYSIS
2. EBOOK
3. EBOOK  SPRINGER
4. MATHEMATICAL ANALYSIS
5. MATHEMATICAL PHYSICS
6. SPECIAL FUNCTIONS

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Call#  Status  Issued To  Return Due On  Physical Location 
I11676 


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10.
 
Title  Spectral Analysis of Nonlinear Elastic Shapes 
Author(s)  Doyle, James F 
Publication  Cham, Springer International Publishing, 2020. 
Description  XI, 409 p : online resource 
Abstract Note  This book concerns the elastic stability of thinwalled structures ??? one of the most challenging problems facing structural engineers because of its high degree of nonlinearity ??? and introduces the innovative approach of using spectral analysis of the shapes and the stiffness to gain insights into the nonlinear deformations. The methodology greatly facilitates correlating the shape changes with the stiffness changes. Professor Doyle also develops specific computer procedures that complement finite element methods so that the ideas and methods are applicable to general structural problems. Basic validity of the procedures is established using key archetypal problems from buckling/postbuckling of columns, arches, curved plates, and cylindrical shells, all worked out in significant detail. The book is ideal for a wide variety of structural engineers, particularly those in aerospace and civil fields. Researchers in computational mechanics also find a rich source of new ideas for postprocessing data from nonlinear analyses. Presents an innovative way of tackling nonlinear elastic stability problems with many new results and insights presented; Adopts a thoroughly modern, computationally based approach using finite elements as its basis as well as for its validations; Reinforces reader understanding with a range of practical problems encompassing arbitrary frame and shell structures; Develops concepts systematically starting with basic deformations of structural members followed by analysis of structures with coupled deformations, progressing seemlessly to the nonlinear analysis of structures and buckling/postbuckling behaviors 
ISBN,Price  9783030594947 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. Applications of Nonlinear Dynamics and Chaos Theory
4. APPLIED MATHEMATICS
5. CIVIL ENGINEERING
6. EBOOK
7. EBOOK  SPRINGER
8. ENGINEERING MATHEMATICS
9. MATHEMATICAL ANALYSIS
10. Mathematical and Computational Engineering
11. Measurement Science and Instrumentation
12. Measurement??????
13. MECHANICAL ENGINEERING
14. PHYSICAL MEASUREMENTS
15. STATISTICAL PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09613 


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