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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Bargue??o, Pedro |
The Geroch-Held-Penrose Calculus |
I12839 |
2023 |
eBook |
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| 2 |
Gordon, Ron |
Complex Integration |
I12609 |
2023 |
eBook |
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1.
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| Title | The Geroch-Held-Penrose 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 Geroch-Held-Penrose (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 Tolman-Oppenheimer-Volkoff equations for stellar structure, including a derivation of new exact anisotropic fluid solutions. Finally, a re-writing 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
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| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12839 |
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On Shelf |
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2.
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| Title | Complex Integration : A Compendium of Smart and Little-Known 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 eye-opening 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
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| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12609 |
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On Shelf |
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