Three Families of Integrals which Arise in Some Three-body Problems PDF Download
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Author: John R. Jasperse
Publisher:
ISBN:
Category : Coulomb functions
Languages : en
Pages : 40
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Book Description
Three families of integrals that arise in the three-body problem with Coulomb pair potentials are examined. Two of the families are definite integrals on a single variable where the integrands are products of two Coulomb Sturmian functions. The third family is a triple integral where the integrands are products of four Coulomb Sturmian functions and two Legendre polynomials. Closed-form expressions are derived for all the integrals, except for one subset of the most general triple integral. An outline of the procedure necessary to obtain a closed expression for this subset is given. (Author).
Author: John R. Jasperse
Publisher:
ISBN:
Category : Coulomb functions
Languages : en
Pages : 40
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Book Description
Three families of integrals that arise in the three-body problem with Coulomb pair potentials are examined. Two of the families are definite integrals on a single variable where the integrands are products of two Coulomb Sturmian functions. The third family is a triple integral where the integrands are products of four Coulomb Sturmian functions and two Legendre polynomials. Closed-form expressions are derived for all the integrals, except for one subset of the most general triple integral. An outline of the procedure necessary to obtain a closed expression for this subset is given. (Author).
Author: Santanu Saha Ray
Publisher: CRC Press
ISBN: 0429771789
Category : Mathematics
Languages : en
Pages : 269
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Book Description
This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.
Author: Tsong-kha-pa Blo-bzang-grags-pa
Publisher: Oxford University Press
ISBN: 0195147324
Category : Philosophy
Languages : en
Pages : 628
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Book Description
Tsong kha pa (14th-century) is arguably the most important and influential philosopher in Tibetan history. An Ocean of Reasoning is the most extensive and perhaps the deepest extant commentary on Nagarjuna's Mulamadhyamakakarika (Fundamental Wisdom of the Middle Way), and it can be argued that it is impossible to discuss Nagarjuna's work in an informed way without consulting it. It discusses alternative readings of the text and prior commentaries and provides a detailed exegesis, constituting a systematic presentation of Madhyamaka Buddhist philosophy. Despite its central importance, however, of Tsong kha pa's three most important texts, only An Ocean of Reasoning remains untranslated, perhaps because it is both philosophically and linguistically challenging, demanding a rare combination of abilities on the part of a translator. Jay Garfield and Ngawang Samten bring the requisite skills to this difficult task, combining between them expertise in Western and Indian philosophy, and fluency in Tibetan, Sanskrit, and English. The resulting translation of this important text will not only be a landmark contribution to the scholarship of Indian and Tibetan Buddhism, but will serve as a valuable companion volume to Jay Garfield's highly successful translation of The Fundamental Wisdom of the Middle Way.
Author: Steven J. Miller
Publisher: Princeton University Press
ISBN: 1400885388
Category : Mathematics
Languages : en
Pages : 753
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Book Description
The essential lifesaver for students who want to master probability For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement—both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a course Numerous worked-out examples Lectures based on the chapters are available free online Intuition of problems emphasized first, then technical proofs given Appendixes review proof techniques Relaxed, conversational approach
Author: Wooster Beach
Publisher:
ISBN:
Category : Physiology
Languages : en
Pages : 236
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Book Description
Author:
Publisher:
ISBN:
Category : Natural history
Languages : en
Pages : 516
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Book Description
Author: Henry Gray
Publisher:
ISBN:
Category :
Languages : en
Pages : 828
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Book Description
Author: K. B. Zandin
Publisher: CRC Press
ISBN: 1482275945
Category : Technology & Engineering
Languages : en
Pages : 548
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Book Description
This book is an essential guide for those in training for their MOST certification and a great value to anyone looking to enhance their marketability to prospective employers. Revised to accommodate the evolving needs of current and emerging industries, the third edition clarifies the working rules and data card format for BasicMOST, MiniMOST and M
Author: Linda Kean
Publisher: International Monetary Fund
ISBN: 1484350715
Category : Business & Economics
Languages : en
Pages : 3722
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Book Description
The Annual Report on Exchange Arrangements and Exchange Restrictions has been published by the IMF since 1950. It draws on information available to the IMF from a number of sources, including that provided in the course of official staff visits to member countries, and has been prepared in close consultation with national authorities.
Author: Stephen D. Smith
Publisher: American Mathematical Soc.
ISBN: 1470442914
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the “quasithin” part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources.
