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Author  Title  Accn#  Year  Item Type  Claims 
1 
Bargue??o, Pedro 
The GerochHeldPenrose Calculus 
I12839 
2023 
eBook 

2 
Gordon, Ron 
Complex Integration 
I12609 
2023 
eBook 


1.


Title  The GerochHeldPenrose 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 GerochHeldPenrose (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 TolmanOppenheimerVolkoff equations for stellar structure, including a derivation of new exact anisotropic fluid solutions. Finally, a rewriting 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 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I12839 


On Shelf 




2.
 
Title  Complex Integration : A Compendium of Smart and LittleKnown 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 eyeopening 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 
MultiMedia Links
media link description
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I12609 


On Shelf 



 