0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations

Buy Now

Innovative Integrals and Their Applications I (Hardcover, 1st ed. 2022) Loot Price: R3,549
Discovery Miles 35 490
Innovative Integrals and Their Applications I (Hardcover, 1st ed. 2022): Anthony A. Ruffa, Bourama Toni

Innovative Integrals and Their Applications I (Hardcover, 1st ed. 2022)

Anthony A. Ruffa, Bourama Toni

Series: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health

 (sign in to rate)
Loot Price R3,549 Discovery Miles 35 490 | Repayment Terms: R333 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means. It exposes a methodology based on the multivariate power substitution and its variants, assisted by the software tool Mathematica. The approaches introduced comprise the generalized method of exhaustion, the multivariate power substitution and its variants, and the use of permutation symmetry to evaluate definite integrals, which are very important both in their own right, and as necessary intermediate steps towards more involved computation. A key tenet is that such approaches work best when applied to integrals having certain characteristics as a starting point. Most integrals, if used as a starting point, will lead to no result at all, or will lead to a known result. However, there is a special class of integrals (i.e., innovative integrals) which, if used as a starting point for such approaches, will lead to new and useful results, and can also enable the reader to generate many other new results that are not in the book. The reader will find a myriad of novel approaches for evaluating integrals, with a focus on tools such as Mathematica as a means of obtaining useful results, and also checking whether they are already known. Results presented involve the gamma function, the hypergeometric functions, the complementary error function, the exponential integral function, the Riemann zeta function, and others that will be introduced as they arise. The book concludes with selected engineering applications, e.g., involving wave propagation, antenna theory, non-Gaussian and weighted Gaussian distributions, and other areas. The intended audience comprises junior and senior sciences majors planning to continue in the pure and applied sciences at the graduate level, graduate students in mathematics and the sciences, and junior and established researchers in mathematical physics, engineering, and mathematics. Indeed, the pedagogical inclination of the exposition will have students work out, understand, and efficiently use multidimensional integrals from first principles.

General

Imprint: Springer International Publishing AG
Country of origin: Switzerland
Series: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health
Release date: November 2022
First published: 2022
Authors: Anthony A. Ruffa • Bourama Toni
Dimensions: 235 x 155mm (L x W)
Format: Hardcover
Pages: 319
Edition: 1st ed. 2022
ISBN-13: 978-3-03-117870-2
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
LSN: 3-03-117870-X
Barcode: 9783031178702

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Generalized Radon Transforms And Imaging…
Gaik Ambartsoumian Hardcover R2,249 Discovery Miles 22 490
Operator Theory and Harmonic Analysis…
Alexey N. Karapetyants, Vladislav V. Kravchenko, … Hardcover R6,266 Discovery Miles 62 660
Weighted Polynomial Approximation and…
Peter Junghanns, Giuseppe Mastroianni, … Hardcover R4,418 Discovery Miles 44 180
Schwarz Methods and Multilevel…
Ernst P. Stephan, Thanh Tran Hardcover R4,739 Discovery Miles 47 390
Positivity and its Applications…
Eder Kikianty, Mokhwetha Mabula, … Hardcover R5,365 Discovery Miles 53 650
The Rademacher System in Function Spaces
Sergey V. Astashkin Hardcover R4,079 Discovery Miles 40 790
Tauberian Theory of Wave Fronts in…
Alexander A. Lokshin Hardcover R1,469 Discovery Miles 14 690
Delay Differential Equations and…
Fathalla A. Rihan Paperback R3,511 Discovery Miles 35 110
Density Evolution Under Delayed Dynamics…
Jerome Losson, Michael C. Mackey, … Hardcover R2,789 Discovery Miles 27 890
Volterra Integral and Differential…
Ted A. Burton Hardcover R5,102 Discovery Miles 51 020
Hardy Type Inequalities on Time Scales
Ravi P. Agarwal, Donal O'Regan, … Hardcover R3,798 Discovery Miles 37 980
Pseudodifferential Operators and…
Nguyen Minh Chuong Hardcover R3,324 Discovery Miles 33 240

See more

Partners