Integral Evaluations Using the Gamma and Beta Functions and Elliptic Integrals in Engineering PDF Download

Author: Constantin C. Maican
Publisher:
ISBN: 9781571462626
Category : Beta functions
Languages : en
Pages : 318

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Author: Constantin C. Maican
Publisher:
ISBN: 9781571461582
Category : Beta functions
Languages : en
Pages : 314

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Book Description
For the evaluation of many integrals, the Euler's gamma and beta functions and the complete elliptic integrals are among the useful functions in engineering, physics and probability. This book illustrates how the properties of these functions may be used for integral evaluation.

Author: C. C. (Constantin C.) Maican
Publisher: Mississauga, Ont. : C.C. Maican
ISBN: 9780969685517
Category : Beta functions
Languages : en
Pages : 318

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Book Description

Author: C. C. (Constantin C.) Maican
Publisher:
ISBN: 9780969685500
Category : Beta functions
Languages : en
Pages : 270

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Book Description

Author: International Press of Boston, Incorporated
Publisher:
ISBN: 9781571461582
Category :
Languages : en
Pages :

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For the evaluation of many integrals, the Euler's gamma and beta functions and the complete elliptic integrals are among the useful functions in engineering, physics and probability. This book illustrates how the properties of these functions may be used for integral evaluation.

Author: Anthony A. Ruffa
Publisher: Springer
ISBN: 9783031621222
Category : Mathematics
Languages : en
Pages : 0

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Book Description
In its second installment, Innovative Integrals and Their Applications II explores multidimensional integral identities, unveiling powerful techniques for attacking otherwise intractable integrals, thus demanding ingenuity and novel approaches. This volume focuses on novel approaches for evaluating definite integrals, with the aid of tools such as Mathematica as a means of obtaining useful results. Building upon the previous methodologies, this volume introduces additional concepts such as interchanging the order of integration, permutation symmetry, and the use of pairs of Laplace transforms and Fourier transforms, offering readers a comprehensive array of integral identities. The content further elucidates the techniques of permutation symmetry and extends the multivariate substitution approach to integrals with finite limits of integration. These insights culminate in a collection of integral identities involving gamma functions, incomplete beta functions, Bessel functions, polylogarithms, and the Meijer G-function. Additionally, readers will encounter applications of error functions, inverse error functions, hypergeometric functions, the Lambert W-function, elliptic integrals, Jacobi elliptic functions, and the Riemann zeta function, among many others, with a focus on their relevance in various scientific disciplines and cutting-edge technologies. Each chapter in this volume concludes with many interesting exercises for the reader to practice. 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, lead to no result at all, or 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, lead to new and useful results, and can also enable the reader to generate other new results that do not appear in the book. The intended readership includes science, technology, engineering, and mathematics (STEM) undergraduates and graduates, as well as STEM researchers and the community of engineers, scientists, and physicists; most of these potential readers have experienced the importance and/or the applications of integration from finding areas, volumes, lengths, and velocities to more advanced applications. The pedagogical approach of the exposition empowers students to comprehend and efficiently wield multidimensional integrals from their foundations, fostering a deeper understanding of advanced mathematical concepts.

Author: Khristo N Boyadzhiev
Publisher: World Scientific
ISBN: 9811235775
Category : Mathematics
Languages : en
Pages : 401

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Book Description
This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.

Author: M. Aslam Chaudhry
Publisher: CRC Press
ISBN: 1420036041
Category : Mathematics
Languages : en
Pages : 515

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Book Description
The subject of special functions is rich and expanding continuously with the emergence of new problems encountered in engineering and applied science applications. The development of computational techniques and the rapid growth in computing power have increased the importance of the special functions and their formulae for analytic representations

Author: Daniele Ritelli
Publisher: CRC Press
ISBN: 1351245090
Category : Mathematics
Languages : en
Pages : 211

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Book Description
Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed. The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course. Features: Written with applications in mind, and maintaining mathematical rigor. Suitable for undergraduate or master's level students with an Economics or Management background. Complemented with various solved examples and exercises, to support the understanding of the subject.

Author: Victor H. Moll
Publisher: CRC Press
ISBN: 1482256517
Category : Mathematics
Languages : en
Pages : 262

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Book Description
A Guide to the Evaluation of Integrals Special Integrals of Gradshetyn and Ryzhik: The Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica® to verify the formulas. Readers discover the beauty, patterns, and unexpected connections behind the formulas. Volume I collects 15 papers from Revista Scientia covering logarithmic integrals, the gamma function, trigonometric integrals, the beta function, the digamma function, the incomplete beta function, Frullani integrals, and various combinations. The book presents entries without indicating the range of parameters for their validity, encouraging readers to determine this range themselves. Many entries have a variety of proofs that can be evaluated using a symbolic language or point to the development of a new algorithm.