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Author  Title  Accn#  Year  Item Type  Claims 
1 
Khakshournia, Samad 
The Art of Gluing SpaceTime 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 SpaceTime 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 spacetime 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 spacetime 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)

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I12922 


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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 threevolume 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 workedout example in each chapter to facilitate the learning experience. Chiefly written for graduatelevel courses, the book???s content will also benefit upperlevel 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I12761 


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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 selfconsistent 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 ndimensional 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 spacelike 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 Fouriermode 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 
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Call#  Status  Issued To  Return Due On  Physical Location 
I12582 


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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 spacetime, along with three dynamical classical and quantum examples. The appendix accounts for several nonstandard 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 
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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 
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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 912, 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 
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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 fourdimensional 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 antiselfdual 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/Mtheory 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 Walgebra. It is then clarified that such a gauge theory construction of the algebra naturally gives rise to further affinization and elliptic deformation of Walgebra 
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 
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Call#  Status  Issued To  Return Due On  Physical Location 
I11645 


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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 handdrawn 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 GaussBonnet 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 nmanifold; 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 2forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2forms. 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  9780691203706 : $ 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 SpinClifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an indepth understanding of spacetime 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 semiRiemannian 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 selfstudy 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 workedout 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 
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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 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10019 


On Shelf 



 