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Author  Title  Accn#  Year  Item Type  Claims 
1 
Dubovyk, Ievgen 
MellinBarnes Integrals 
I12461 
2022 
Book 

2 
Kemppainen, Antti 
Schramm???Loewner Evolution 
I09669 
2017 
eBook 

3 
Munteanu, Gheorghe 
Complex Spaces in Finsler, Lagrange and Hamilton Geometries 
I10677 
2004 
eBook 

4 
Terziogammalu, T 
Advances in the Theory of Fr??chet Spaces 
I03867 
1989 
eBook 

5 
Gauthier, Paul M 
Complex Potential Theory 
I02935 
1994 
eBook 


1.


Title  MellinBarnes Integrals : A Primer on Particle Physics Applications 
Author(s)  Dubovyk, Ievgen;Gluza, Janusz;Somogyi, G??bor 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XVIII, 283 p. 21 illus. in color : online resource 
Abstract Note  In this book, the authors discuss the MellinBarnes representation of complex multidimensional integrals. Experiments frontiered by the HighLuminosity Large Hadron Collider at CERN and future collider projects demand the development of computational methods to achieve the theoretical precision required by experimental setups. In this regard, performing higherorder calculations in perturbative quantum field theory is of paramount importance. The MellinBarnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higherorder perturbative corrections to particle scattering. Easytofollow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of MellinBarnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the stateoftheart software packages for manipulating and evaluating MellinBarnes integrals. The book is meant for advanced students and young researchers to master the theoretical background needed to perform perturbative quantum field theory calculations 
ISBN,Price  9783031142727 
Keyword(s)  1. Applications of Mathematics
2. EBOOK
3. EBOOK  SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. FUNCTIONS OF COMPLEX VARIABLES
7. MATHEMATICAL PHYSICS
8. MATHEMATICS
9. QUANTUM FIELD THEORY
10. Several Complex Variables and Analytic Spaces
11. Theoretical, Mathematical and Computational Physics

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
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2.


Title  Schramm???Loewner Evolution 
Author(s)  Kemppainen, Antti 
Publication  Cham, Springer International Publishing, 2017. 
Description  IX, 145 p. 25 illus., 10 illus. in color : online resource 
Abstract Note  This book is a short, but complete, introduction to the Loewner equation and the SLEs, which are a family of random fractal curves, as well as the relevant background in probability and complex analysis. The connection to statistical physics is also developed in the text in an example case.??The book is based on a course (with the same title) lectured by the author.??First three chapters are devoted to the background material, but at the same time, give the reader a good understanding on the overview on the subject and on some aspects of conformal invariance. The chapter on the Loewner equation develops in detail the connection of growing hulls and the differential equation satisfied by families of conformal maps. The Schramm???Loewner evolutions are defined and their basic properties are studied in the following chapter, and the regularity properties of random curves as well as scaling limits of discrete random curves are investigated in the final chapter. The book is aimed at graduate students or researchers who want to learn the subject fairly quickly 
ISBN,Price  9783319653297 
Keyword(s)  1. COMPLEX SYSTEMS
2. DYNAMICAL SYSTEMS
3. EBOOK
4. EBOOK  SPRINGER
5. FUNCTIONS OF COMPLEX VARIABLES
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. PROBABILITIES
10. Probability Theory and Stochastic Processes
11. Several Complex Variables and Analytic Spaces
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I09669 


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3.


Title  Complex Spaces in Finsler, Lagrange and Hamilton Geometries 
Author(s)  Munteanu, Gheorghe 
Publication  Dordrecht, Springer Netherlands, 2004. 
Description  XII, 228 p : online resource 
Abstract Note  From a historical point of view, the theory we submit to the present study has its origins in the famous dissertation of P. Finsler from 1918 ([Fi]). In a the classical notion also conventional classification, Finsler geometry has besides a number of generalizations, which use the same work technique and which can be considered selfgeometries: Lagrange and Hamilton spaces. Finsler geometry had a period of incubation long enough, so that few math?? ematicians (E. Cartan, L. Berwald, S.S. Chem, H. Rund) had the patience to penetrate into a universe of tensors, which made them compare it to a jungle. To aU of us, who study nowadays Finsler geometry, it is obvious that the qualitative leap was made in the 1970's by the crystallization of the nonlinear connection notion (a notion which is almost as old as Finsler space, [SZ4]) and by workskills into its adapted frame fields. The results obtained by M. Matsumoto (coUected later, in 1986, in a monograph, [Ma3]) aroused interest not only in Japan, but also in other countries such as Romania, Hungary, Canada and the USA, where schools of Finsler geometry are founded and are presently widely recognized 
ISBN,Price  9781402022067 
Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK  SPRINGER
4. FUNCTIONS OF COMPLEX VARIABLES
5. Mathematical Modeling and Industrial Mathematics
6. MATHEMATICAL MODELS
7. MATHEMATICAL PHYSICS
8. QUANTUM PHYSICS
9. Several Complex Variables and Analytic Spaces
10. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
MultiMedia Links
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Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10677 


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