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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Gordon, Ron |
Complex Integration |
I12609 |
2023 |
eBook |
|
| 2 |
Dubovyk, Ievgen |
Mellin-Barnes Integrals |
I12461 |
2022 |
Book |
|
| 3 |
Hannesdottir, Holmfridur Sigridar |
What is the i?? for the S-matrix? |
I12258 |
2022 |
Book |
|
| 4 |
Kapoor, A. K |
Quantum Hamilton-Jacobi Formalism |
I12235 |
2022 |
Book |
|
| 5 |
Cicogna, Giampaolo |
Exercises and Problems in Mathematical Methods of Physics |
I09803 |
2018 |
eBook |
|
| 6 |
Kemppainen, Antti |
Schramm???Loewner Evolution |
I09669 |
2017 |
eBook |
|
| 7 |
Nahin, Paul J |
Inside Interesting Integrals |
I09510 |
2020 |
eBook |
|
| 8 |
Cicogna, Giampaolo |
Exercises and Problems in Mathematical Methods of Physics |
I08828 |
2020 |
eBook |
|
| 9 |
Munteanu, Gheorghe |
Complex Spaces in Finsler, Lagrange and Hamilton Geometries |
I10677 |
2004 |
eBook |
|
| 10 |
Gogolin, A. O |
Lectures on Complex Integration |
I08010 |
2014 |
eBook |
|
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|
1.
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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
|
| Item Type | eBook |
Multi-Media Links
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12609 |
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On Shelf |
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2.
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| Title | Mellin-Barnes 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 Mellin-Barnes representation of complex multidimensional integrals. Experiments frontiered by the High-Luminosity 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 higher-order calculations in perturbative quantum field theory is of paramount importance. The Mellin-Barnes integrals technique has been successfully applied to the analytic and numerical analysis of integrals connected with virtual and real higher-order perturbative corrections to particle scattering. Easy-to-follow examples with the supplemental online material introduce the reader to the construction and the analytic, approximate, and numeric solution of Mellin-Barnes integrals in Euclidean and Minkowskian kinematic regimes. It also includes an overview of the state-of-the-art software packages for manipulating and evaluating Mellin-Barnes 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 |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12461 |
|
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On Shelf |
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3.
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| Title | What is the i?? for the S-matrix? |
| Author(s) | Hannesdottir, Holmfridur Sigridar;Mizera, Sebastian |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | VI, 165 p. 39 illus., 37 illus. in color : online resource |
| Abstract Note | This book provides a modern perspective on the analytic structure of scattering amplitudes in quantum field theory, with the goal of understanding and exploiting consequences of unitarity, causality, and locality. It focuses on the question: Can the S-matrix be complexified in a way consistent with causality? The affirmative answer has been well understood since the 1960s, in the case of 2???2 scattering of the lightest particle in theories with a mass gap at low momentum transfer, where the S-matrix is analytic everywhere except at normal-threshold branch cuts. We ask whether an analogous picture extends to realistic theories, such as the Standard Model, that include massless fields, UV/IR divergences, and unstable particles. Especially in the presence of light states running in the loops, the traditional i?? prescription for approaching physical regions might break down, because causality requirements for the individual Feynman diagrams can be mutually incompatible. We demonstrate that such analyticity problems are not in contradiction with unitarity. Instead, they should be thought of as finite-width effects that disappear in the idealized 2???2 scattering amplitudes with no unstable particles, but might persist at higher multiplicity. To fix these issues, we propose an i??-like prescription for deforming branch cuts in the space of Mandelstam invariants without modifying the analytic properties of the physical amplitude. This procedure results in a complex strip around the real part of the kinematic space, where the S-matrix remains causal. We illustrate all the points on explicit examples, both symbolically and numerically, in addition to giving a pedagogical introduction to the analytic properties of the perturbative S-matrix from a modern point of view. To help with the investigation of related questions, we introduce a number of tools, including holomorphic cutting rules, new approaches to dispersion relations, as well as formulae for local behavior of Feynman integrals near branch points. This book is well suited for anyone with knowledge of quantum field theory at a graduate level who wants to become familiar with the complex-analytic structure of Feynman integrals |
| ISBN,Price | 9783031182587 |
| Keyword(s) | 1. APPROXIMATION THEORY
2. Approximations and Expansions
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. Functions of a Complex Variable
8. FUNCTIONS OF COMPLEX VARIABLES
9. PARTICLE PHYSICS
10. PARTICLES (NUCLEAR PHYSICS)
11. QUANTUM FIELD THEORY
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12258 |
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On Shelf |
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4.
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| Title | Quantum Hamilton-Jacobi Formalism |
| Author(s) | Kapoor, A. K;Panigrahi, Prasanta K;Ranjani, S. Sree |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XV, 112 p. 13 illus., 3 illus. in color : online resource |
| Abstract Note | This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allows computation of eigenvalues of quantum mechanical potential problems without solving for the wave function. The examples presented include exotic potentials such as quasi-exactly solvable models and Lame an dassociated Lame potentials. A careful application of boundary conditions offers an insight into the nature of solutions of several potential models. Advanced undergraduates having knowledge of complex variables and quantum mechanics will find this as an interesting method to obtain the eigenvalues and eigen-functions. The discussion on complex zeros of the wave function gives intriguing new results which are relevant for advanced students and young researchers. Moreover, a few open problems in research are discussed as well, which pose a challenge to the mathematically oriented readers |
| ISBN,Price | 9783031106248 |
| Keyword(s) | 1. Applications of Mathematics
2. EBOOK
3. EBOOK - SPRINGER
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. MATHEMATICAL PHYSICS
7. MATHEMATICS
8. QUANTUM PHYSICS
9. Theoretical, Mathematical and Computational Physics
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12235 |
|
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On Shelf |
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5.
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| Title | Exercises and Problems in Mathematical Methods of Physics |
| Author(s) | Cicogna, Giampaolo |
| Publication | Cham, Springer International Publishing, 2018. |
| Description | X, 182 p. 8 illus : online resource |
| Abstract Note | This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value. |
| ISBN,Price | 9783319761657 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. FOURIER ANALYSIS
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. GROUP THEORY
7. Group Theory and Generalizations
8. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Mathematical Methods in Physics
11. Operational calculus
12. OPERATOR THEORY
13. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09803 |
|
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On Shelf |
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6.
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| 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 |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09669 |
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On Shelf |
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7.
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| Title | Inside Interesting Integrals : A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus Numerous Challenge Problems with Complete, Detailed Solutions) |
| Author(s) | Nahin, Paul J |
| Publication | Cham, Springer International Publishing, 2020. |
| Description | XLVII, 503 p. 48 illus : online resource |
| Abstract Note | What???s the point of calculating definite integrals since you can???t possibly do them all? What makes doing the specific integrals in this book of value aren???t the specific answers we???ll obtain, but rather the methods we???ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion. |
| ISBN,Price | 9783030437886 |
| Keyword(s) | 1. APPLIED MATHEMATICS
2. EBOOK
3. EBOOK - SPRINGER
4. ENGINEERING MATHEMATICS
5. Functions of a Complex Variable
6. FUNCTIONS OF COMPLEX VARIABLES
7. FUNCTIONS OF REAL VARIABLES
8. Mathematical and Computational Engineering
9. Mathematical Methods in Physics
10. PHYSICS
11. REAL FUNCTIONS
12. Sequences (Mathematics)
13. Sequences, Series, Summability
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09510 |
|
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On Shelf |
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8.
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| Title | Exercises and Problems in Mathematical Methods of Physics |
| Author(s) | Cicogna, Giampaolo |
| Publication | Cham, Springer International Publishing, 2020. |
| Description | XII, 218 p. 9 illus : online resource |
| Abstract Note | This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible. |
| ISBN,Price | 9783030594725 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. FOURIER ANALYSIS
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. GROUP THEORY
7. Group Theory and Generalizations
8. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Mathematical Methods in Physics
11. Operational calculus
12. OPERATOR THEORY
13. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08828 |
|
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On Shelf |
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9.
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| 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 self-geometries: 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 work-skills 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 |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10677 |
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On Shelf |
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10.
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| Title | Lectures on Complex Integration |
| Author(s) | Gogolin, A. O;Tsitsishvili, Elena G;Komnik, Andreas |
| Publication | Cham, Springer International Publishing, 2014. |
| Description | IX, 285 p. 64 illus : online resource |
| Abstract Note | The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions |
| ISBN,Price | 9783319002125 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. Functions of a Complex Variable
4. FUNCTIONS OF COMPLEX VARIABLES
5. Mathematical Applications in the Physical Sciences
6. MATHEMATICAL PHYSICS
7. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08010 |
|
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On Shelf |
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