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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Bargue??o, Pedro |
The Geroch-Held-Penrose 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 |
|
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1.
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| Title | The Geroch-Held-Penrose 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 Geroch-Held-Penrose (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 Tolman-Oppenheimer-Volkoff equations for stellar structure, including a derivation of new exact anisotropic fluid solutions. Finally, a re-writing 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
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12839 |
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On Shelf |
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2.
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| 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 two-phase 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 non-integrability observed in a two-dimensional, nonlinear, and area-preserving 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 time-dependent 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 non-integrability 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 graduate-level 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
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12794 |
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On Shelf |
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3.
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| Title | Complex Integration : A Compendium of Smart and Little-Known 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 eye-opening 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
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12609 |
|
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On Shelf |
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4.
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| 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 Navier-Stokes-Equations??? (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 Navier-Stokes-Equations???. 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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| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12432 |
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On Shelf |
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5.
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| 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 Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body 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 Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange 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
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12301 |
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On Shelf |
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6.
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| 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, high-energy dissipative solitons and their applications, and mode-locked 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 well-known conservative soliton systems, but new avenues of inquiry were opened when physicists realized that solitary waves did indeed exist in a wide range of non-integrable and non-conservative systems leading to the concept of so-called 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 zero-parameter 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 in-line regeneration of optical data streams and generation of stable trains of laser pulses by mode-locked 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
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12206 |
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On Shelf |
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7.
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| 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11870 |
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On Shelf |
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8.
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| 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, algebro-geometric 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11676 |
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On Shelf |
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10.
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| 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 thin-walled 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/post-buckling 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 post-processing 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/post-buckling 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09613 |
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On Shelf |
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