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Books on the topic 'Geometrı́a moderna'

Author: Grafiati

Published: 5 June 2025

Last updated: 24 June 2025

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1

Collezione Maramotti (Gallery : Reggio Emilia, Italy), ed. Geometria figurativa: Figurative geometry. Silvana editoriale, 2017.

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2

Dubrovin, B. A. Modern geometry--methods and applications. 2nd ed. Springer-Verlag, 1992.

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3

Muñoz, Vicente, Ivan Smith, and Richard Thomas, eds. Modern Geometry. American Mathematical Society, 2018. http://dx.doi.org/10.1090/pspum/099.

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4

Faure, Claude-Alain, and Alfred Frölicher. Modern Projective Geometry. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-015-9590-2.

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5

Alfred, Frölicher, ed. Modern projective geometry. Kluwer Academic Publishers, 2000.

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6

Kubištová, Mariana. Poetická geometrie: Moderní architektura ve fotografiích Josefa Sudka = A poetic geometry : modern architecture in the photographs of Jusef Sudek. U(P)M, 2018.

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7

Jennings, George A. Modern Geometry with Applications. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0855-6.

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8

Leitner, Bernhard. Bernhard Leitner: Geometrie der Töne, wiegen/wölben = geometry of sound, swinging/arching. Cantz Verlag, 1997.

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9

Chavel, Isaac. Riemannian geometry: A modern introduction. Cambridge University Press, 1995.

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10

Chavel, Isaac. Riemannian geometry: A modern introduction. Cambridge University Press, 1993.

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11

Falconer, K. J. Fractal Geometry. John Wiley & Sons, Ltd., 2003.

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12

Haesen, Stefan, and Leopold Verstraelen, eds. Topics in Modern Differential Geometry. Atlantis Press, 2017. http://dx.doi.org/10.2991/978-94-6239-240-3.

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13

Dubrovin, B. A., S. P. Novikov, and A. T. Fomenko. Modern Geometry — Methods and Applications. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-4398-4.

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14

Dubrovin, B. A., S. P. Novikov, and A. T. Fomenko. Modern Geometry—Methods and Applications. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-4474-5.

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15

Dubrovin, B. A., S. P. Novikov, and A. T. Fomenko. Modern Geometry— Methods and Applications. Springer New York, 1985. http://dx.doi.org/10.1007/978-1-4612-1100-6.

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16

T, Kromann Matthias, ed. Projective geometry and modern algebra. Birkhäuser, 1996.

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17

Helfer, Adam. Introduction to modern differential geometry. Addison-Wesley, 1998.

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18

Dubrovin, B. A. Modern geometry: Methods and applications. Springer-Verlag, 1990.

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19

Eves, Howard Whitley. Fundamentals of modern elementary geometry. Jones and Bartlett, 1992.

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20

Dubrovin, B. A. Modern geometry: Methods and applications. Springer-Verlag, 1985.

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21

1963-, Shen Zhongmin, ed. Introduction to modern Finsler geometry. Higher Education Press Limited Company : World Scientific Publishing Co., 2016.

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22

Henle, Michael. Modern geometries: The analytic approach. Prentice Hall, 1997.

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23

Henle, Michael. Modern geometries: Non-Euclidean, projective, and discrete. 2nd ed. Prentice Hall, 2001.

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24

Cederberg, Judith N. A course in modern geometries. Springer-Verlag, 1989.

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25

Cederberg, Judith N. A course in modern geometries. Springer-Verlag, 1989.

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26

Nolte, David D. Geometry on my Mind. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805847.003.0005.

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This chapter reviews the history of modern geometry with a focus on the topics that provided the foundation for the new visualization of physics. It begins with Carl Gauss and Bernhard Riemann, who redefined geometry and identified the importance of curvature for physics. Vector spaces, developed by Hermann Grassmann, Giuseppe Peano and David Hilbert, are examples of the kinds of abstract new spaces that are so important for modern physics, such as Hilbert space for quantum mechanics. Fractal geometry developed by Felix Hausdorff later provided the geometric language needed to solve problems in chaos theory. Motion cannot exist without space—trajectories are the tracks of points, mathematical or physical, through it.

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27

Siddons, Arthur Warry, and Charles Godfrey. Modern Geometry. Franklin Classics, 2018.

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28

Modern Geometry. Creative Media Partners, LLC, 2022.

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29

Modern Geometry. Creative Media Partners, LLC, 2022.

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30

Modern geometry. Brooks/Cole, 2002.

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31

Siddons, Arthur Warry, and Charles Godfrey. Modern Geometry. Creative Media Partners, LLC, 2018.

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32

Thomas, David A. Modern Geometry. Brooks Cole, 2001.

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33

Siddons, Arthur Warry, and Charles Godfrey. Modern Geometry. Franklin Classics, 2018.

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34

Siddons, Arthur Warry, and Charles Godfrey. Modern Geometry. Creative Media Partners, LLC, 2018.

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35

Modern Differential Geometry for Physicists. World Scientific Publishing Co Pte Ltd, 1989.

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36

Modern differential geometry for physicists. 2nd ed. World Scientific, 1999.

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37

Fomenko, A. T., S. P. Novikov, and B. A. Dubrovin. Modern Geometry (Graduate Texts in Mathematics). Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1991.

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38

Nolte, David D. Introduction to Modern Dynamics. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198844624.001.0001.

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Introduction to Modern Dynamics: Chaos, Networks, Space and Time (2nd Edition) combines the topics of modern dynamics—chaos theory, dynamics on complex networks and the geometry of dynamical spaces—into a coherent framework. This text is divided into four parts: Geometric Mechanics, Nonlinear Dynamics, Complex Systems, and Relativity. These topics share a common and simple mathematical language that helps students gain a unified physical intuition. Geometric mechanics lays the foundation and sets the tone for the rest of the book by emphasizing dynamical spaces, like state space and phase space, whose geometric properties define the set of all trajectories through those spaces. The section on nonlinear dynamics has chapters on chaos theory, synchronization, and networks. Chaos theory provides the language and tools to understand nonlinear systems, introducing fixed points that are classified through stability analysis and nullclines that shepherd system trajectories. Synchronization and networks are central paradigms in this book because they demonstrate how collective behavior emerges from the interactions of many individual nonlinear elements. The section on complex systems contains chapters on neural dynamics, evolutionary dynamics, and economic dynamics. The final section contains chapters on metric spaces and the special and general theories of relativity. In the second edition, sections on conventional topics, like applications of Lagrangians, have been strengthened, as well as being updated to provide a modern perspective. Several of the introductory chapters have been rearranged for improved logical flow and there are expanded homework problems at the end of each chapter.

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39

Wooton, William. Modern Analytic Geometry. Houghton Mifflin Company, 1988.

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40

Faure, Claude-Alain, and Alfred Frölicher. Modern Projective Geometry. Springer Netherlands, 2010.

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41

ölicher, Alfred, and Claude-Alain Faure. Modern Projective Geometry. Springer, 2013.

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42

Modern Geometry: Methods and Applications: The Geometry and Topology of Manifolds. Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1985.

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43

Dubrovin, B. A., A. T. Fomenko, and S. P. Novikov. Modern Geometry - Methods and Applications: Part 3: Introduction to Homology Theory (Graduate Texts in Mathematics). Springer, 1990.

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44

Blumenthal, Leonard M. Modern View of Geometry. Dover Publications, Incorporated, 2017.

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45

Jennings, George A. Modern Geometry with Applications. Springer, 2012.

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46

Silvester, John R. Geometry: Ancient and Modern. Oxford University Press, USA, 2001.

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47

Geometry: Ancient and Modern. Oxford University Press, USA, 2001.

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48

Modern geometry with applications. Springer-Verlag, 1994.

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49

Modern Geometry with Applications. Springer, 2011.

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50

Dubrovin, B. A., A. T. Fomenko, and S. P. Novikov. Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields (Graduate Texts in Mathematics). Springer, 1991.

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