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Books on the topic 'Geometry of metric spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Snapper, Ernst. Metric affine geometry. Dover Publications, 1989.

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2

D, Burago I︠U︡, and Ivanov Sergeĭ 1972-, eds. A course in metric geometry. American Mathematical Society, 2001.

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3

Bridson, Martin R. Metric spaces of non-positive curvature. Springer, 1999.

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4

Lectures on coarse geometry. American Mathematical Society, 2003.

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5

1954-, Graham C. Robin, ed. The ambient metric. Princeton University Press, 2011.

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6

Wildberger, N. J. Divine proportions: Rational trigonometry to universal geometry. Wild Egg Pty, 2005.

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7

Deza. Geometry of cuts and metrics. Springer-Verlag, 1997.

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8

Kigami, Jun. Geometry and Analysis of Metric Spaces via Weighted Partitions. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-54154-5.

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9

Geometry: An algebraic approach. BI-Wissenschaftsverlag, 1992.

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10

Nicola, Gigli, Savaré Giuseppe, Struwe Michael 1955-, and SpringerLink (Online service), eds. Gradient Flows: In Metric Spaces and in the Space of Probability Measures. Birkhäuser Basel, 2008.

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11

1962-, Semmes Stephen, ed. Fractured fractals and broken dreams: Self-similar geometry through metric and measure. Clarendon Press, 1997.

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12

Metric rigidity theorems on Hermitian locally symmetric manifolds. World Scientific, 1989.

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13

Yuri, Brudnyi, and SpringerLink (Online service), eds. Methods of Geometric Analysis in Extension and Trace Problems: Volume 2. Springer Basel AG, 2012.

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14

Mitrea, Dorina. Groupoid Metrization Theory: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis. Birkhäuser Boston, 2013.

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15

1968-, Dafni Galia Devora, McCann Robert John 1968-, and Stancu Alina 1968-, eds. Analysis and geometry of metric measure spaces: Lecture notes of the 50th Séminaire de Mathématiques Supérieures (SMS), Montréal, 2011. American Mathematical Society, 2013.

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16

Spaces of constant curvature. 6th ed. AMS Chelsea Pub., 2011.

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17

1939-, Deza M., and SpringerLink (Online service), eds. Encyclopedia of Distances. Springer-Verlag Berlin Heidelberg, 2009.

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18

1983-, Spadaro Emanuele Nunzio, ed. Q-valued functions revisited. American Mathematical Society, 2010.

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19

K, Jain P. Metric spaces. Narosa Publishing House, 1993.

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20

Metric linear spaces. D. Reidel, 1985.

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21

Schweizer, B. Probabilistic metric spaces. Dover Publications, 2005.

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22

Chistyakov, Vyacheslav. Metric Modular Spaces. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25283-4.

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23

Metric and comparison geometry. International Press, 2007.

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24

Dai, Xianzhe, and Xiaochun Rong, eds. Metric and Differential Geometry. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0257-4.

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25

author, Tian Gang 1958, ed. The geometrization conjecture. American Mathematical Society, 2014.

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26

Metric spaces: Iteration and application. Cambridge University Press, 1985.

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27

Probability measures on metric spaces. AMS Chelsea Pub., 2005.

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28

Lin, Shou, and Ziqiu Yun. Generalized Metric Spaces and Mappings. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-216-8.

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29

Alvarado, Ryan, and Marius Mitrea. Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18132-5.

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30

Optimization on metric and normed spaces. Springer, 2010.

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31

Grove, Karsten. Riemannian geometry: A metric entrance. University of Aarhus, Dept. of Mathemtics, 1999.

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32

Walschap, Gerald. Metric structures in differential geometry. Springer-Verlag, 2004.

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33

Walschap, Gerard. Metric Structures in Differential Geometry. Springer New York, 2004. http://dx.doi.org/10.1007/978-0-387-21826-7.

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34

A, Sutherland W. Introduction to metric and topological spaces. 2nd ed. Oxford University Press, 2009.

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35

Introduction to metric and topological spaces. 2nd ed. Oxford University Press, 2009.

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36

1945-, Vogel Pierre, ed. Geometry on Poincaré spaces. Princeton University Press, 1993.

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37

Geometry of phase spaces. Wiley, 1991.

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38

Geometry of digital spaces. Birkhäuser Boston, 1998.

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39

Herman, Gabor T. Geometry of Digital Spaces. Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-4136-2.

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40

Verheul, E. R. Multimedians in metric and normed spaces. Centrum voor Wiskunde en Informatica, 1993.

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41

Jana, Björn, ed. Nonlinear potential theory on metric spaces. European Mathematical Society, 2011.

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42

Paolo, Tilli, ed. Topics on analysis in metric spaces. Oxford University Press, 2004.

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43

Jain, P. K., and Khalil Ahmad. Metric Spaces. 2nd ed. Alpha Science International, Ltd, 2004.

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44

Bridson, Martin R., and André Haefliger. Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften). Springer, 2007.

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45

Geometry of Cuts and Metrics Algorithms and Combinatorics. Springer, 2009.

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46

Busemann, Herbert. Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8). Princeton University Press, 2016.

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47

Adams, Rebecca Ann. History of metrization, 1905-1951. 1992.

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48

Dimitric, Radoslav. Slenderness: Volume 1, Abelian Categories. Cambridge University Press, 2018.

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49

David, Guy, and Stephen Semmes. Fractured Fractals and Broken Dreams: Self-Similar Geometry through Metric and Measure (Oxford Lecture Series in Mathematics and Its Applications, No 7). Oxford University Press, USA, 1998.

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50

Goebel, Kazimierz, and Stanislaw Prus. Elements of Geometry of Balls in Banach Spaces. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198827351.001.0001.

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Abstract:

One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need of such considerations comes from a number of applications to problems of mathematical analysis. The list of subjects contains: differential calculus in normed spaces, approximation theory, weak topologies and reflexivity, general theory of convexity and convex functions, metric fixed point theory, and others. The aim of this book is to present basic facts from this field. It is addressed to advanced undergraduate and graduate students interested in the subject. For some it may result in further interest, a continuation and deepening of their study of the subject. It may be also useful for instructors running courses on functional analysis, supervising diploma theses or essays on various levels.

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