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Books on the topic 'Intrinsic geometry'

Author: Grafiati

Published: 10 March 2023

Last updated: 24 August 2024

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1

Todd, Philip H. Intrinsic geometry ofbiological surface growth. Berlin: Springer-Verlag, 1986.

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2

Todd, Philip H. Intrinsic Geometry of Biological Surface Growth. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-93320-2.

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Chandra, Saurabh, ed. SOCRATES (Vol 3, No 2 (2015): Issue- June). 3rd ed. India: SOCRATES : SCHOLARLY RESEARCH JOURNAL, 2015.

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4

Intrinsic geometry of convex surfaces. Boca Raton, Fla: Chapman & Hall/CRC Press, 2004.

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5

Todd, Philip H. Intrinsic Geometry of Biological Surface Growth. Springer London, Limited, 2013.

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6

Intrinsic Geometry Of Biological Surface Growth. Springer, 1986.

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7

Todd, Philip H. Intrinsic Geometry of Biological Surface Growth. Island Press, 1986.

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8

Intrinsic geometry of biological surface growth. Berlin: Springer-Verlag, 1986.

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9

Theory of Complex Finsler Geometry and Geometry of Intrinsic Metrics. World Scientific Publishing Co Pte Ltd, 2016.

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10

Theory of Complex Finsler Geometry and Geometry of Intrinsic Metrics. World Scientific Publishing Co Pte Ltd, 2016.

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11

Aleksandrov, A. D., and V. A. Zalgaller. Intrinsic Geometry of Spaces (Translations of Mathematical Monographs). American Mathematical Society, 2000.

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12

Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems. Providence, R.I: American Mathematical Society, 2006.

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13

Kutateladze, S. S. A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces. Chapman & Hall/CRC, 2004.

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14

(Editor), S. S. Kutateladze, and Yu G. Reshetnyak (Editor), eds. A.D. Alexandrov: Selected Works: Intrinsic Geometry of Convex Surfaces - 2 Volume Set (Classics of Soviet Mathematics). CRC, 2005.

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15

Deruelle, Nathalie, and Jean-Philippe Uzan. Differential geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0004.

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This chapter presents some elements of differential geometry, the ‘vector’ version of Euclidean geometry in curvilinear coordinates. In doing so, it provides an intrinsic definition of the covariant derivative and establishes a relation between the moving frames attached to a trajectory introduced in Chapter 2 and the moving frames of Cartan associated with curvilinear coordinates. It illustrates a differential framework based on formulas drawn from Chapter 2, before discussing cotangent spaces and differential forms. The chapter then turns to the metric tensor, triads, and frame fields as well as vector fields, form fields, and tensor fields. Finally, it performs some vector calculus.

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16

Kutateladze, S. S. A. D. Alexandrov : Selected Works Part II: Intrinsic Geometry of Convex Surfaces. Taylor & Francis Group, 2005.

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17

Kutateladze, S. S., S. S. Kutateladze, and A. D. Aleksandrov. A. D. Alexandrov Selected Works Pt. II: Intrinsic Geometry of Convex Surfaces. Taylor & Francis Group, 2005.

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18

Kutateladze, S. S. A. D. Alexandrov : Selected Works Part II: Intrinsic Geometry of Convex Surfaces. Taylor & Francis Group, 2005.

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19

Kutateladze, S. S. A. D. Alexandrov : Selected Works Part II: Intrinsic Geometry of Convex Surfaces. Taylor & Francis Group, 2005.

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20

Kutateladze, S. S. A. D. Alexandrov : Selected Works Part II: Intrinsic Geometry of Convex Surfaces. Taylor & Francis Group, 2005.

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21

Deruelle, Nathalie, and Jean-Philippe Uzan. Vector geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0002.

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This chapter defines the mathematical spaces to which the geometrical quantities discussed in the previous chapter—scalars, vectors, and the metric—belong. Its goal is to go from the concept of a vector as an object whose components transform as Tⁱ → 𝓡ⱼ ⁱTj under a change of frame to the ‘intrinsic’ concept of a vector, T. These concepts are also generalized to ‘tensors’. The chapter also briefly remarks on how to deal with non-Cartesian coordinates. The velocity vector v is defined as a ‘free’ vector belonging to the vector space ε‎3 which subtends ε‎3. As such, it is not bound to the point P at which it is evaluated. It is, however, possible to attach it to that point and to interpret it as the tangent to the trajectory at P.

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22

Lezioni di geometria intrinseca. Napoli: Presso l'Autore-Editore, 1991.

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23

Lezioni Di Geometria Intrinseca. Creative Media Partners, LLC, 2022.

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24

Valenzuela, S. O. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198787075.003.0011.

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This chapter begins with a definition of spin Hall effects, which are a group of phenomena that result from spin–orbit interaction. These phenomena link orbital motion to spin direction and act as a spin-dependent magnetic field. In its simplest form, an electrical current gives rise to a transverse spin current that induces spin accumulation at the boundaries of the sample, the direction of the spins being opposite at opposing boundaries. It can be intuitively understood by analogy with the Magnus effect, where a spinning ball in a fluid deviates from its straight path in a direction that depends on the sense of rotation. spin Hall effects can be associated with a variety of spin-orbit mechanisms, which can have intrinsic or extrinsic origin, and depend on the sample geometry, impurity band structure, and carrier density but do not require a magnetic field or any kind of magnetic order to occur.

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25

Corfield, David. Modal Homotopy Type Theory. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198853404.001.0001.

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In[KF1] 1914, in an essay entitled ‘Logic as the Essence of Philosophy’, Bertrand Russell promised to revolutionize philosophy by introducing there the ‘new logic’ of Frege and Peano: “The old logic put thought in fetters, while the new logic gives it wings.” A century later, this book proposes a comparable revolution with a newly emerging logic, modal homotopy type theory. Russell’s prediction turned out to be accurate. Frege’s first-order logic, along with its extension to modal logic, is to be found throughout anglophone analytic philosophy. This book provides a considerable array of evidence for the claim that philosophers working in metaphysics, as well as those treating language, logic or mathematics, would be much better served with the new ‘new logic’. It offers an introduction to this new logic, thoroughly motivated by intuitive explanations of the need for all of its component parts—the discipline of a type theory, the flexibility of type dependency, the more refined homotopic notion of identity and a powerful range of modalities. Innovative applications of the calculus are given, including analysis of the distinction between objects and events, an intrinsic treatment of structure and a conception of modality both as a form of general variation and as allowing constructions in modern geometry. In this way, we see how varied are the applications of this powerful new language—modal homotopy type theory.

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26

Awodey, Steve. Structuralism, Invariance, and Univalence. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198748991.003.0004.

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The recent discovery of an interpretation of constructive type theory into abstract homotopy theory suggests a new approach to the foundations of mathematics with intrinsic geometric content and a computational implementation. Voevodsky has proposed such a program, including a new axiom with both geometric and logical significance: the univalence axiom. It captures the familiar aspect of informal mathematical practice according to which one can identify isomorphic objects. This powerful addition to homotopy type theory gives the new system of foundations a distinctly structural character.

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