| |
| |
Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Khakshournia, Samad |
The Art of Gluing Space-Time Manifolds |
I12922 |
2023 |
eBook |
|
| 2 |
Liang, Canbin |
Differential Geometry and General Relativity |
I12761 |
2023 |
eBook |
|
| 3 |
Carfora, Mauro |
Einstein Constraints and Ricci Flow |
I12582 |
2023 |
eBook |
|
| 4 |
Jany??ka, Josef |
An Introduction to Covariant Quantum Mechanics |
I12533 |
2022 |
Book |
|
| 5 |
Ludu, Andrei |
Nonlinear Waves and Solitons on Contours and Closed Surfaces |
I12309 |
2022 |
Book |
|
| 6 |
Liu, Chaoqun |
Liutex and Third Generation of Vortex Definition and Identification |
I11661 |
2021 |
eBook |
|
| 7 |
Kimura, Taro |
Instanton Counting, Quantum Geometry and Algebra |
I11645 |
2021 |
eBook |
|
| 8 |
Tristan Needham |
Visual differential geometry and forms: A Mathematical Drama in Five Acts |
026961 |
2021 |
Book |
|
| 9 |
Rodrigues, Jr, Waldyr A |
The Many Faces of Maxwell, Dirac and Einstein Equations |
I10404 |
2016 |
eBook |
|
| 10 |
Fr??, Pietro Giuseppe |
Advances in Geometry and Lie Algebras from Supergravity |
I10019 |
2018 |
eBook |
|
|
|
1.
  |
 |
| Title | The Art of Gluing Space-Time Manifolds : Methods and Applications |
| Author(s) | Khakshournia, Samad;Mansouri, Reza |
| Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. |
| Description | VIII, 122 p. 1 illus : online resource |
| Abstract Note | This concise book reviews methods used for gluing space-time manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two space-time manifolds from the early times of general relativity up to now |
| ISBN,Price | 9783031486128 |
| Keyword(s) | 1. Classical and Quantum Gravity
2. CONDENSED MATTER
3. CONDENSED MATTER PHYSICS
4. COSMOLOGY
5. DIFFERENTIAL GEOMETRY
6. EBOOK - SPRINGER
7. GENERAL RELATIVITY
8. GENERAL RELATIVITY (PHYSICS)
9. GEOMETRY, DIFFERENTIAL
10. GLOBAL ANALYSIS (MATHEMATICS)
11. Global Analysis and Analysis on Manifolds
12. GRAVITATION
13. Manifolds (Mathematics)
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12922 |
|
|
On Shelf |
|
|
|
|
2.
 |
|
| Title | Differential Geometry and General Relativity : Volume 1 |
| Author(s) | Liang, Canbin;Zhou, Bin |
| Publication | Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. |
| Description | XXX, 546 p. 179 illus., 2 illus. in color : online resource |
| Abstract Note | This book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book???s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists |
| ISBN,Price | 9789819900220 |
| Keyword(s) | 1. Classical and Quantum Gravity
2. COSMOLOGY
3. DIFFERENTIAL GEOMETRY
4. EBOOK - SPRINGER
5. GEOMETRY, DIFFERENTIAL
6. GRAVITATION
7. Mathematical Methods in Physics
8. MATHEMATICAL PHYSICS
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12761 |
|
|
On Shelf |
|
|
|
|
|
3.
|
|
| Title | Einstein Constraints and Ricci Flow : A Geometrical Averaging of Initial Data Sets |
| Author(s) | Carfora, Mauro;Marzuoli, Annalisa |
| Publication | Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. |
| Description | XII, 173 p. 33 illus., 32 illus. in color : online resource |
| Abstract Note | This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another distinct Einstein initial data set, both supported on a given closed n-dimensional manifold. This is a case study where two vibrant areas of research in geometric analysis, Ricci flow and Einstein constraints theory, interact in a quite remarkable way. The interaction is of great relevance for applications in relativistic cosmology, allowing a mathematically rigorous approach to the initial data set averaging problem, at least when data sets are given on a closed space-like hypersurface. The book does not assume an a priori knowledge of Ricci flow theory, and considerable space is left for introducing the necessary techniques. These introductory parts gently evolve to a detailed discussion of the more advanced results concerning a Fourier-mode expansion and a sophisticated heat kernel representation of the Ricci flow, both of which are of independent interest in Ricci flow theory. This work is intended for advanced students in mathematical physics and researchers alike. |
| ISBN,Price | 9789811985409 |
| Keyword(s) | 1. DIFFERENTIAL GEOMETRY
2. EBOOK - SPRINGER
3. GEOMETRY, DIFFERENTIAL
4. MATHEMATICAL PHYSICS
|
| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12582 |
|
|
On Shelf |
|
|
|
|
|
4.
|
|
| Title | An Introduction to Covariant Quantum Mechanics |
| Author(s) | Jany??ka, Josef;Modugno, Marco |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XVIII, 838 p. 10 illus : online resource |
| Abstract Note | This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book |
| ISBN,Price | 9783030895891 |
| Keyword(s) | 1. CLASSICAL MECHANICS
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. GEOMETRY, DIFFERENTIAL
6. MECHANICS
7. QUANTUM PHYSICS
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12533 |
|
|
On Shelf |
|
|
|
|
|
5.
|
|
| Title | Nonlinear Waves and Solitons on Contours and Closed Surfaces |
| Author(s) | Ludu, Andrei |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XXXII, 566 p. 171 illus., 68 illus. in color : online resource |
| Abstract Note | This new edition has been thoroughly revised, expanded and contain some updates function of the novel results and shift of scientific interest in the topics. The book has a Foreword by Jerry L. Bona and Hongqiu Chen. The book is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first part of the book introduces the mathematical concept required for treating the manifolds considered, providing relevant notions from topology and differential geometry. An introduction to the theory of motion of curves and surfaces - as part of the emerging field of contour dynamics - is given. The second and third parts discuss the modeling of various physical solitons on compact systems, such as filaments, loops and drops made of almost incompressible materials thereby intersecting with a large number of physical disciplines from hydrodynamics to compact object astrophysics. This book is intended for graduate students and researchers in mathematics, physics and engineering |
| ISBN,Price | 9783031146411 |
| Keyword(s) | 1. Classical and Continuum Physics
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. GEOMETRY, DIFFERENTIAL
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. Soft and Granular Matter
10. Soft condensed matter
11. Surface and Interface and Thin Film
12. Surfaces (Physics)
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12309 |
|
|
On Shelf |
|
|
|
|
|
6.
|
|
| Title | Liutex and Third Generation of Vortex Definition and Identification : An Invited Workshop from Chaos 2020 |
| Author(s) | Liu, Chaoqun;Wang, Yiqian |
| Publication | Cham, Springer International Publishing, 2021. |
| Description | XXXI, 468 p. 343 illus., 320 illus. in color : online resource |
| Abstract Note | This book collects papers presented in the Invited Workshop, ???Liutex and Third Generation of Vortex Definition and Identification for Turbulence,??? from CHAOS2020, June 9-12, 2020, which was held online as a virtual conference. Liutex is a new physical quantity introduced by Prof. Chaoqun Liu of the University of Texas at Arlington. It is a vector and could give a unique and accurate mathematical definition for fluid rotation or vortex. The papers in this volume include some Liutex theories and many applications in hydrodynamics, aerodynamics and thermal dynamics including turbine machinery. As vortex exists everywhere in the universe, a mathematical definition of vortex or Liutex will play a critical role in scientific research. There is almost no place without vortex in fluid dynamics. As a projection, the Liutex theory will play an important role on the investigations of the vortex dynamics in hydrodynamics, aerodynamics, thermodynamics, oceanography, meteorology, metallurgy, civil engineering, astronomy, biology, etc. and to the researches of the generation, sustenance, modelling and controlling of turbulence |
| ISBN,Price | 9783030702175 |
| Keyword(s) | 1. Aerospace engineering
2. Aerospace Technology and Astronautics
3. ASTRONAUTICS
4. DIFFERENTIAL GEOMETRY
5. EBOOK
6. EBOOK - SPRINGER
7. Engineering Fluid Dynamics
8. FLUID MECHANICS
9. FLUIDS
10. GEOMETRY, DIFFERENTIAL
11. PLASMA TURBULENCE
12. Soft condensed matter
13. Turbulence in plasmas
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11661 |
|
|
On Shelf |
|
|
|
|
|
7.
|
|
| Title | Instanton Counting, Quantum Geometry and Algebra |
| Author(s) | Kimura, Taro |
| Publication | Cham, Springer International Publishing, 2021. |
| Description | XXIII, 285 p. 36 illus., 13 illus. in color : online resource |
| Abstract Note | This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras. The key concept is the instanton, which is a solution to the anti-self-dual Yang???Mills equation in four dimensions. In the first part of the book, starting with the systematic description of the instanton, how to integrate out the instanton moduli space is explained together with the equivariant localization formula. It is then illustrated that this formalism is generalized to various situations, including quiver and fractional quiver gauge theory, supergroup gauge theory. The second part of the book is devoted to the algebraic geometric description of supersymmetric gauge theory, known as the Seiberg???Witten theory, together with string/M-theory point of view. Based on its relation to integrable systems, how to quantize such a geometric structure via the ??-deformation of gauge theory is addressed. The third part of the book focuses on the quantum algebraic structure of supersymmetric gauge theory. After introducing the free field realization of gauge theory, the underlying infinite dimensional algebraic structure is discussed with emphasis on the connection with representation theory of quiver, which leads to the notion of quiver W-algebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and elliptic deformation of W-algebra |
| ISBN,Price | 9783030761905 |
| Keyword(s) | 1. ALGEBRAIC GEOMETRY
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. GEOMETRY, DIFFERENTIAL
8. MATHEMATICAL PHYSICS
9. QUANTUM FIELD THEORY
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11645 |
|
|
On Shelf |
|
|
|
|
|
8.
|
|
| Title | Visual differential geometry and forms: A Mathematical Drama in Five Acts |
| Author(s) | Tristan Needham |
| Publication | USA, Princeton University Press, 2021. |
| Description | PB : 584pp |
| Abstract Note | An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner.Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book.Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught. |
| ISBN,Price | 978-0691203706 : $ 45.00 |
| Classification | 1. 514.7 NEE
2. 514.77 NEE
3. 517.7 NEE
|
| Keyword(s) | 1. DIFFERENTIAL GEOMETRY
2. Forms
3. Geometry and Forms
|
| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 026961 |
|
|
Issued |
AP05: Prakash Arumugasamy |
18/May/2024 |
|
|
|
9.
|
|
| Title | The Many Faces of Maxwell, Dirac and Einstein Equations : A Clifford Bundle Approach |
| Author(s) | Rodrigues, Jr, Waldyr A;Capelas de Oliveira, Edmundo |
| Publication | Cham, Springer International Publishing, 2016. |
| Description | XVI, 587 p. 14 illus : online resource |
| Abstract Note | This book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. From the reviews of the first edition: ???The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k) |
| ISBN,Price | 9783319276373 |
| Keyword(s) | 1. Classical and Quantum Gravitation, Relativity Theory
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. GRAVITATION
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10404 |
|
|
On Shelf |
|
|
|
|
|
10.
| |
| Title | Advances in Geometry and Lie Algebras from Supergravity |
| Author(s) | Fr??, Pietro Giuseppe |
| Publication | Cham, Springer International Publishing, 2018. |
| Description | XX, 556 p. 64 illus., 32 illus. in color : online resource |
| Abstract Note | This book aims to provide an overview of several topics in advanced Differential Geometry and Lie Group Theory, all of them stemming from mathematical problems in supersymmetric physical theories. It presents a mathematical illustration of the main development in geometry and symmetry theory that occurred under the fertilizing influence of supersymmetry/supergravity. The contents are mainly of mathematical nature, but each topic is introduced by historical information and enriched with motivations from high energy physics, which help the reader in getting a deeper comprehension of the subject.?? |
| ISBN,Price | 9783319744919 |
| Keyword(s) | 1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK - SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. History and Philosophical Foundations of Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. QUANTUM FIELD THEORY
10. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10019 |
|
|
On Shelf |
|
|
|
| |