MBsums - a Mathematics Package for the Representation of Mellin-Barnes Integrals by Multiple Sums

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ISBN 13 :
Total Pages : pages
Book Rating : 4.12/5 ( download)

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Book Synopsis MBsums - a Mathematics Package for the Representation of Mellin-Barnes Integrals by Multiple Sums by : M. Ochman

Download or read book MBsums - a Mathematics Package for the Representation of Mellin-Barnes Integrals by Multiple Sums written by M. Ochman and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mellin-Barnes Integrals

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Publisher : Springer Nature
ISBN 13 : 3031142721
Total Pages : 296 pages
Book Rating : 4.27/5 ( download)

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Book Synopsis Mellin-Barnes Integrals by : Ievgen Dubovyk

Download or read book Mellin-Barnes Integrals written by Ievgen Dubovyk and published by Springer Nature. This book was released on 2022-12-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymptotics and Mellin-Barnes Integrals

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Publisher :
ISBN 13 : 9780511069192
Total Pages : 422 pages
Book Rating : 4.97/5 ( download)

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Book Synopsis Asymptotics and Mellin-Barnes Integrals by : R. B. Paris

Download or read book Asymptotics and Mellin-Barnes Integrals written by R. B. Paris and published by . This book was released on 2001 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotics and Mellin-Barnes Integrals provides an account of the use and properties of a type of complex integral representation that arises frequently in the study of special functions typically of interest in classical analysis and mathematical physics.

Grassmannian Geometry of Scattering Amplitudes

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Publisher : Cambridge University Press
ISBN 13 : 1316571645
Total Pages : 205 pages
Book Rating : 4.44/5 ( download)

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Book Synopsis Grassmannian Geometry of Scattering Amplitudes by : Nima Arkani-Hamed

Download or read book Grassmannian Geometry of Scattering Amplitudes written by Nima Arkani-Hamed and published by Cambridge University Press. This book was released on 2016-05-05 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outlining a revolutionary reformulation of the foundations of perturbative quantum field theory, this book is a self-contained and authoritative analysis of the application of this new formulation to the case of planar, maximally supersymmetric Yang–Mills theory. The book begins by deriving connections between scattering amplitudes and Grassmannian geometry from first principles before introducing novel physical and mathematical ideas in a systematic manner accessible to both physicists and mathematicians. The principle players in this process are on-shell functions which are closely related to certain sub-strata of Grassmannian manifolds called positroids - in terms of which the classification of on-shell functions and their relations becomes combinatorially manifest. This is an essential introduction to the geometry and combinatorics of the positroid stratification of the Grassmannian and an ideal text for advanced students and researchers working in the areas of field theory, high energy physics, and the broader fields of mathematical physics.

Electroweak Physics - Proceedings Of The Fourteenth Lake Louise Winter Institute

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Publisher : World Scientific
ISBN 13 : 9814543373
Total Pages : 594 pages
Book Rating : 4.78/5 ( download)

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Book Synopsis Electroweak Physics - Proceedings Of The Fourteenth Lake Louise Winter Institute by : Alan Astbury

Download or read book Electroweak Physics - Proceedings Of The Fourteenth Lake Louise Winter Institute written by Alan Astbury and published by World Scientific. This book was released on 2000-01-11 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the electroweak interactions at low and high energies. The results of the collider experiments are discussed, and the low energy experiments with complications for astrophysics are considered. Also, theoretical developments are presented to highlight the impact of forthcoming experiments and to find new directions of study.

Optics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387261680
Total Pages : 459 pages
Book Rating : 4.83/5 ( download)

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Book Synopsis Optics by : Karl Dieter Moeller

Download or read book Optics written by Karl Dieter Moeller and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition is intended for a one semester course in optics for juniors and seniors in science and engineering. It uses scripts from Maple, MathCad, Mathematica, and MATLAB to provide a simulated laboratory where students can learn by exploration and discovery instead of passive absorption. The text covers all the standard topics of a traditional optics course. It contains step by step derivations of all basic formulas in geometrical, wave and Fourier optics. The threefold arrangement of text, applications, and files makes the book suitable for "self-learning" by scientists or engineers who would like to refresh their knowledge of optics.

Renormalization

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Publisher : Cambridge University Press
ISBN 13 : 1009401769
Total Pages : 393 pages
Book Rating : 4.60/5 ( download)

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Book Synopsis Renormalization by : John C. Collins

Download or read book Renormalization written by John C. Collins and published by Cambridge University Press. This book was released on 2023-07-31 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations and Boundary Value Problems with Maple

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Publisher : Academic Press
ISBN 13 : 0080885063
Total Pages : 733 pages
Book Rating : 4.63/5 ( download)

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Book Synopsis Partial Differential Equations and Boundary Value Problems with Maple by : George A. Articolo

Download or read book Partial Differential Equations and Boundary Value Problems with Maple written by George A. Articolo and published by Academic Press. This book was released on 2009-03-23 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours - an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations. This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided. Provides a quick overview of the software w/simple commands needed to get started Includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations Incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions Numerous example problems and end of each chapter exercises

Mathematica for Theoretical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387251138
Total Pages : 407 pages
Book Rating : 4.34/5 ( download)

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Book Synopsis Mathematica for Theoretical Physics by : Gerd Baumann

Download or read book Mathematica for Theoretical Physics written by Gerd Baumann and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

Essentials of Mathematica

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Publisher : Springer Science & Business Media
ISBN 13 : 0387495142
Total Pages : 550 pages
Book Rating : 4.49/5 ( download)

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Book Synopsis Essentials of Mathematica by : Nino Boccara

Download or read book Essentials of Mathematica written by Nino Boccara and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book teaches how to use Mathematica to solve a wide variety of problems in mathematics and physics. It is based on the lecture notes of a course taught at the University of Illinois at Chicago to advanced undergrad and graduate students. The book is illustrated with many detailed examples that require the student to construct meticulous, step-by-step, easy to read Mathematica programs. The first part, in which the reader learns how to use a variety of Mathematica commands, contains examples, not long explanations; the second part contains attractive applications.