

Click the serial number on the left to view the details of the item. 
# 
Author  Title  Accn#  Year  Item Type  Claims 
1 
Jany??ka, Josef 
An Introduction to Covariant Quantum Mechanics 
I12533 
2022 
Book 

2 
Ludu, Andrei 
Nonlinear Waves and Solitons on Contours and Closed Surfaces 
I12309 
2022 
Book 

3 
Liu, Chaoqun 
Liutex and Third Generation of Vortex Definition and Identification 
I11661 
2021 
eBook 

4 
Kimura, Taro 
Instanton Counting, Quantum Geometry and Algebra 
I11645 
2021 
eBook 

5 
I.M. Singer 
Lecture notes on elementary topology and geometry 
001514 
1987 
Book 


1.


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 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I12533 


On Shelf 




2.


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 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I12309 


On Shelf 




3.


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 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11661 


On Shelf 




4.


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 
MultiMedia Links
Please Click here for eBook
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11645 


On Shelf 



 