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標(biāo)題: Titlebook: Higher Mathematics for Physics and Engineering; Tsuneyoshi Nakayama,Hiroyuki Shima Textbook 2010 Springer-Verlag Berlin Heidelberg 2010 An [打印本頁]

作者: IU421    時(shí)間: 2025-3-21 17:15
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作者: 逃避責(zé)任    時(shí)間: 2025-3-21 22:56
http://image.papertrans.cn/h/image/426969.jpg
作者: 嫌惡    時(shí)間: 2025-3-22 03:00
https://doi.org/10.1007/b138494Analysis; Applied mathematics; Mathematical physics textbook; Mathematical topology for knot theory; Mat
作者: Debrief    時(shí)間: 2025-3-22 07:14
978-3-642-42591-2Springer-Verlag Berlin Heidelberg 2010
作者: 送秋波    時(shí)間: 2025-3-22 11:17

作者: keloid    時(shí)間: 2025-3-22 13:21
Real Sequences and SeriesIn this chapter, we deal with the fundamental properties of sequences and series of real numbers.We place particular emphasis on the concept of “convergence,” a thorough understanding of which is important for the study of the various branches of mathematical physics that we are concerned with subsequent chapters.
作者: 卜聞    時(shí)間: 2025-3-22 18:03
Lebesgue Integralsconcept of length that allows us to quantify the length of a set that is composed of, for instance, an infinite number of infinitesimal points with a highly discontinuous distribution. Thus, the Lebesgue integral is an effective tool for integrating highly discontinuous functions that cannot be integrated using conventional Riemann integrals.
作者: 冷峻    時(shí)間: 2025-3-23 00:02

作者: 作嘔    時(shí)間: 2025-3-23 04:38
Contour Integralsng closed contours. This utility of singularities is based on the residue theorem (Sect. 9.1.1), argument principle (Sect. 9.4), and principal value integrals (Sect. 9.5.1), all of which correlate the nature of singularities within and/or on the contour with the relevant complex integrals.
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e GIS software.Readers may learn and create their own maps.Around the World in 80 Ways. offers a (sometimes opinionated) discussion of 80 data-driven maps of our planet. Taken together, the maps tell a story about the physical world; about the impact our species is having on the world; and about how
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作者: 不連貫    時(shí)間: 2025-3-24 10:17
veemerged independently asimportant objects in various fields of mathematics such ascombinatorics, braids, configuration spaces,representationtheory, reflection groups, singularity theory, and incomputer science and physics.This book is the first comprehensive study of the subject.It treats arrangem
作者: 偶像    時(shí)間: 2025-3-24 14:29
Hiroyuki Shima,Tsuneyoshi Nakayama one-forms .∈.. annihilated by some .∈..(.). This notion arises naturally from consideration of cohomology of the rank-one local systems generated by single-valued branches of .-master functions Φ...For the most part we focus on the case .=1. We will describe the features of .. (.) for . and also fo
作者: 材料等    時(shí)間: 2025-3-24 15:35

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作者: 最有利    時(shí)間: 2025-3-25 00:17
ation advice from the experts.Includes supplementary materia.The earliest descriptions of human chromosomes initiated the genomics revolution that is now upon us. .Array Comparative Genomic Hybridization: Protocols and Applications. .explores the scope of what is now possible as far as documenting a
作者: entail    時(shí)間: 2025-3-25 07:14
Hiroyuki Shima,Tsuneyoshi Nakayamaation advice from the experts.Includes supplementary materia.The earliest descriptions of human chromosomes initiated the genomics revolution that is now upon us. .Array Comparative Genomic Hybridization: Protocols and Applications. .explores the scope of what is now possible as far as documenting a
作者: 淘氣    時(shí)間: 2025-3-25 07:30

作者: GORGE    時(shí)間: 2025-3-25 14:39
Hiroyuki Shima,Tsuneyoshi Nakayamaation advice from the experts.Includes supplementary materia.The earliest descriptions of human chromosomes initiated the genomics revolution that is now upon us. .Array Comparative Genomic Hybridization: Protocols and Applications. .explores the scope of what is now possible as far as documenting a
作者: 沒有準(zhǔn)備    時(shí)間: 2025-3-25 17:36

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作者: pessimism    時(shí)間: 2025-3-26 03:26
Hiroyuki Shima,Tsuneyoshi Nakayamaation advice from the experts.Includes supplementary materia.The earliest descriptions of human chromosomes initiated the genomics revolution that is now upon us. .Array Comparative Genomic Hybridization: Protocols and Applications. .explores the scope of what is now possible as far as documenting a
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作者: 貞潔    時(shí)間: 2025-3-26 17:04
ation advice from the experts.Includes supplementary materia.The earliest descriptions of human chromosomes initiated the genomics revolution that is now upon us. .Array Comparative Genomic Hybridization: Protocols and Applications. .explores the scope of what is now possible as far as documenting a
作者: jeopardize    時(shí)間: 2025-3-27 00:06
Real Functionsnot generally preserve the nature of their constituents; e.g., a sequence of “continuous” functions can converge into a “discontinuous” function. In this chapter, we show that this is not true in cases of uniform convergence (Sect. 3.2.2), which is a special class of convergence that preserves the c
作者: 放氣    時(shí)間: 2025-3-27 03:56
Hilbert Spaces of the vector space, and the completeness property (Sect. 4.1.6), which guarantees the self-consistency of the space. Most of the mathematical topics covered in this volume are AQ1 based on Hilbert spaces. In particular, L. spaces and l. spaces (Sect. 4.3), which are specific classes of Hilbert spa
作者: RAG    時(shí)間: 2025-3-27 08:57
Orthonormal Polynomialshe sense of the L. space. In this chapter we present three important approaches for the construction of orthonormal polynomials, based, respectively, on the Weierstrass theorem (Sect. 5.1.1), the Rodrigues formula (Sect. 5.2.1), and generating functions (Sect. 5.2.7). We shall find that various orth
作者: 北京人起源    時(shí)間: 2025-3-27 13:10
Lebesgue Integralsconcept of length that allows us to quantify the length of a set that is composed of, for instance, an infinite number of infinitesimal points with a highly discontinuous distribution. Thus, the Lebesgue integral is an effective tool for integrating highly discontinuous functions that cannot be inte
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作者: 加強(qiáng)防衛(wèi)    時(shí)間: 2025-3-28 00:01
Contour Integralsng closed contours. This utility of singularities is based on the residue theorem (Sect. 9.1.1), argument principle (Sect. 9.4), and principal value integrals (Sect. 9.5.1), all of which correlate the nature of singularities within and/or on the contour with the relevant complex integrals.
作者: GENRE    時(shí)間: 2025-3-28 03:29

作者: 廢墟    時(shí)間: 2025-3-28 06:55
Fourier Seriesak up an arbitrary periodic function into a set of simple terms that can be solved individually and then recombined in order to obtain the solution to the original problem with the desired level of accuracy. In this chapter, we place particular emphasis on the mean convergence property of a Fourier
作者: 可轉(zhuǎn)變    時(shí)間: 2025-3-28 11:01
Fourier Transformationhe transformation enables us to measure certain correlations of a function with itself or with other functions; thus a Fourier transform can be applied to probability theory, signal analysis, etc. In this chapter we also provide the essence of a discrete Fourier transform (Sect. 12.3), which refers
作者: 放棄    時(shí)間: 2025-3-28 16:14

作者: 滔滔不絕的人    時(shí)間: 2025-3-28 20:20
Wavelet Transformationical mold with a finite-length and fast-decaying oscillating waveform, which is used to divide a given function into different scale components. Wavelet transforms have certain advantages over conventional Fourier transforms, as they can reveal the nature of a function in the time and frequency doma
作者: AXIS    時(shí)間: 2025-3-29 01:51
tical topology for knot theory.- Exposition of mathematical .Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporar
作者: Arb853    時(shí)間: 2025-3-29 05:54
Textbook 2010signed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical con
作者: 碌碌之人    時(shí)間: 2025-3-29 08:23

作者: Accessible    時(shí)間: 2025-3-29 13:48
Hilbert Spaces covered in this volume are AQ1 based on Hilbert spaces. In particular, L. spaces and l. spaces (Sect. 4.3), which are specific classes of Hilbert spaces, are crucial for the formulation of the theories of orthonormal polynomials, Lebesgue integrals, Fourier analyses, and others, as we discuss in subsequent chapters.
作者: Seminar    時(shí)間: 2025-3-29 19:15

作者: 任意    時(shí)間: 2025-3-29 22:50
Complex Functions that are highly relevant and useful in mathematical physics. However, before moving on to the principal discussion, we deal with the underlying concepts of analytic functions (Sect. 7.1.2) and the geometric meaning of analyticity (Sect. 7.1.5).
作者: 抵押貸款    時(shí)間: 2025-3-30 00:45
Conformal Mappingons with inconvenient geometries. In this chapter we show that a problem can be drastically simplified by choosing an appropriate mapping, which allows us to evaluate the solution using elementary calculus.
作者: thrombosis    時(shí)間: 2025-3-30 05:29
Fourier Seriesseries (Sect. 11.2.1) and the conditions that are necessary for the series to be uniformly convergent (Sect. 11.3.1). Better understanding of convergence properties clarifies the reasons for the utility and the limit of validity of Fourier series expansion in mathematical physics.
作者: 反省    時(shí)間: 2025-3-30 11:11
Fourier Transformationto a Fourier transform applied to a discrete complex-valued series. A discrete Fourier transform is commonly used in the numerical computation of Fourier transforms because of its computational efficiency.
作者: 惡臭    時(shí)間: 2025-3-30 12:26
Laplace Transformation the Laplace transform of a given function. Thus we devote a portion of this chapter to an analysis of the conditions necessary for the convergence of Laplace integrals, in contrast to the standard literature that deals primarily with the practical applications of Laplace transforms.
作者: athlete’s-foot    時(shí)間: 2025-3-30 20:22





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