派博傳思國際中心

標題: Titlebook: Clifford Algebra to Geometric Calculus; A Unified Language f David Hestenes,Garret Sobczyk Book 1984 Springer Science+Business Media Dordre [打印本頁]

作者: Cataplexy    時間: 2025-3-21 17:04
書目名稱Clifford Algebra to Geometric Calculus影響因子(影響力)




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書目名稱Clifford Algebra to Geometric Calculus網(wǎng)絡公開度學科排名




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書目名稱Clifford Algebra to Geometric Calculus被引頻次學科排名




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書目名稱Clifford Algebra to Geometric Calculus年度引用學科排名




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書目名稱Clifford Algebra to Geometric Calculus讀者反饋學科排名





作者: Rankle    時間: 2025-3-21 22:08

作者: 集中營    時間: 2025-3-22 02:36
The Method of Mobiles,nifold and the definitions and notations for differentials and codifferentials established in Sections 4-1 and 4-3, and a couple of results from Chapter 4 are used without taking the trouble to rederive them by the method of this chapter.
作者: 畫布    時間: 2025-3-22 07:13

作者: anagen    時間: 2025-3-22 11:06

作者: aqueduct    時間: 2025-3-22 16:05
Overall Conclusion and Discussion,defined on more general subsets of . called manifolds, and this will be considered in Chapter 4. But in the interest of simplicity, it is best to study calculus on linear spaces first. Calculus on more general manifolds involves differential geometry.
作者: aqueduct    時間: 2025-3-22 20:13
Differentiation,defined on more general subsets of . called manifolds, and this will be considered in Chapter 4. But in the interest of simplicity, it is best to study calculus on linear spaces first. Calculus on more general manifolds involves differential geometry.
作者: 不規(guī)則的跳動    時間: 2025-3-22 21:27
https://doi.org/10.1007/978-94-007-5527-7e generated by a few simple techniques. For example, Section 1-4 shows how easily geometric algebra generates the system of identities making up the theory of determinants. Thus we can see the theory of determinants as only part of a more comprehensive algebraic system.
作者: sultry    時間: 2025-3-23 04:48
https://doi.org/10.1007/3-540-59007-2re new, but our main objective is to demonstrate the unique advantages of the method and to develop the calculus to the point where application to any problem in differential geometry is straightforward.
作者: 小木槌    時間: 2025-3-23 07:46
https://doi.org/10.1007/3-540-59007-2nifold and the definitions and notations for differentials and codifferentials established in Sections 4-1 and 4-3, and a couple of results from Chapter 4 are used without taking the trouble to rederive them by the method of this chapter.
作者: 冬眠    時間: 2025-3-23 10:16
J. D. Garrett,J. R. German,J. M. Espinoc Algebra brings new methods and ideas to Lie theory which could simplify the theory and even lead to new results. Indeed, the structure of Geometric Algebra has so much in common with Lie algebra that we would be surprised if they could not be unified in a productive way.
作者: 不適當    時間: 2025-3-23 15:30
Book 1984s versatility has hardly been appreciated, and it has not yet been integrated into the mainstream of mathematics. We refer to the system commonly called ‘Clifford Algebra‘, though we prefer the name ‘Geometric Algebm‘ suggested by Clifford himself. Many distinct algebraic systems have been adapted o
作者: 偶然    時間: 2025-3-23 19:45
https://doi.org/10.1007/978-3-031-26833-5This chapter shows the advantages of developing the theory of linear and multilinear functions on finite dimensional spaces with Geometric Calculus. The theory is sufficiently well developed here to be readily applied to most problems of linear algebra.
作者: cultivated    時間: 2025-3-23 23:01

作者: voluble    時間: 2025-3-24 02:31
Linear and Multilinear Functions,This chapter shows the advantages of developing the theory of linear and multilinear functions on finite dimensional spaces with Geometric Calculus. The theory is sufficiently well developed here to be readily applied to most problems of linear algebra.
作者: perjury    時間: 2025-3-24 08:57
Directed Integration Theory,This chapter describes some basic contributions of Geometric Calculus to the theory of integration. The directed integral enables us to formulate and prove a few comprehensive theorems from which the main results of both real and complex variable theory are easily obtained.
作者: hedonic    時間: 2025-3-24 11:48

作者: 調(diào)整校對    時間: 2025-3-24 16:52

作者: Urea508    時間: 2025-3-24 23:00

作者: Oration    時間: 2025-3-25 01:02

作者: 策略    時間: 2025-3-25 05:17

作者: scrutiny    時間: 2025-3-25 07:44
Overall Conclusion and Discussion, the Universal Geometric Algebra .. This chapter deals with the differentiation of functions defined on linear subspaces of .. Differentiation can be defined on more general subsets of . called manifolds, and this will be considered in Chapter 4. But in the interest of simplicity, it is best to stud
作者: 傳授知識    時間: 2025-3-25 13:50
Signal and Background Modelling,creasing complexity are built up by introducing a succession of structures such as differentiable maps, fiber bundles, differential forms, connections and metrics. Without disputing that there are good reasons for this approach, we wish to point out that it has some serious practical drawbacks. To b
作者: 要控制    時間: 2025-3-25 19:50
https://doi.org/10.1007/3-540-59007-2ial geometry, the curvature tensor. We have endeavored to supply simple and systematic derivations of all properties of the curvature tensor including relations to extrinsic geometry, behavior under transformations, and generalization to nonRiemannian curvature. We believe that some of our results a
作者: Glycogen    時間: 2025-3-25 22:54

作者: overshadow    時間: 2025-3-26 02:50

作者: Foreshadow    時間: 2025-3-26 06:54

作者: doxazosin    時間: 2025-3-26 08:32
Differentiation, the Universal Geometric Algebra .. This chapter deals with the differentiation of functions defined on linear subspaces of .. Differentiation can be defined on more general subsets of . called manifolds, and this will be considered in Chapter 4. But in the interest of simplicity, it is best to stud
作者: theta-waves    時間: 2025-3-26 15:32
Calculus on Vector Manifolds,creasing complexity are built up by introducing a succession of structures such as differentiable maps, fiber bundles, differential forms, connections and metrics. Without disputing that there are good reasons for this approach, we wish to point out that it has some serious practical drawbacks. To b
作者: Chronic    時間: 2025-3-26 18:37
Differential Geometry of Vector Manifolds,ial geometry, the curvature tensor. We have endeavored to supply simple and systematic derivations of all properties of the curvature tensor including relations to extrinsic geometry, behavior under transformations, and generalization to nonRiemannian curvature. We believe that some of our results a
作者: 施魔法    時間: 2025-3-26 21:01
The Method of Mobiles,d is actually a special case of the theory in Section 5-6, but we develop it . here to make its relation to the classical method of tensor analysis as direct and clear as possible. This chapter does not depend on results of Chapters 4 and 5, though it does presume the basic properties of a vector ma
作者: 弄污    時間: 2025-3-27 03:41

作者: nurture    時間: 2025-3-27 05:29

作者: 有毒    時間: 2025-3-27 11:40
0168-1222 provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.978-90-277-2561-5978-94-009-6292-7Series ISSN 0168-1222 Series E-ISSN 2365-6425
作者: Expurgate    時間: 2025-3-27 17:15
Calculus on Vector Manifolds,ormulation which is simpler than any which can be developed by building it up from standard structures. For example, standard formulations of linear and multilinear algebra as independent subjects reveal considerable redundancy when combined, redundancy which we claim to have eliminated in the prece
作者: HARD    時間: 2025-3-27 21:49
Signal and Background Modelling,ormulation which is simpler than any which can be developed by building it up from standard structures. For example, standard formulations of linear and multilinear algebra as independent subjects reveal considerable redundancy when combined, redundancy which we claim to have eliminated in the prece
作者: 記憶法    時間: 2025-3-28 01:39
Book 2023t. Researchers have made many efforts to provide models of voter aggregation, and one of the bestresults of these efforts is the aggregation of votes based on the policy of data envelopment analysis. Thus, in group decisions, the opinions of experts are obtained in a simple structure and consolidate
作者: Admonish    時間: 2025-3-28 05:07

作者: GLOSS    時間: 2025-3-28 09:11

作者: offense    時間: 2025-3-28 13:08
Der Entwicklungsprozess der Sozialistischen Republik VietnamErfolge und Herausfo




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