Dynamical Systems and Environmental Models : : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / / hrsg. von Hans Günter Bothe, Manfred Peschel, Alexander B. Kurzhanski, Werner Ebeling.
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©1987 |
Year of Publication: | 2022 |
Edition: | Reprint 2021 |
Language: | German |
Series: | Mathematical Ecology
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Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / hrsg. von Hans Günter Bothe, Manfred Peschel, Alexander B. Kurzhanski, Werner Ebeling. Reprint 2021 Berlin ; Boston : De Gruyter, [2022] ©1987 1 online resource (284 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematical Ecology Frontmatter -- Introductory Remarks -- List of Participants -- Contents -- Part I: Mathematical Theory of Dynamical Systems -- Hausdorff dimension of attractors: An example -- K-stability as an ecologically more relevant stability concept -- Stability, periodicity and chaos from the statistical point of view -- Singularly perturbed autonomous differential systems -- Difference equations with continuous time as mathematical models of the structure emergencies -- Stability of equilibria in critical cases -- Part II: General Mathematical Models -- Permanence in population dynamics -- Models of evolution processes including age structure -- Pattern formation in an ionic reaction-diffusion system: A contribution to the morphogene prepattern theory of mitosis -- Chaotic dynamics and fluctuations in a biochemical system -- Periodic, quasiperiodic and chaotic motion in a forced predator-prey ecosystem -- Chaotic dynamics of logical paradoxes -- Control of growth processes -- Part III. Mathematical Models for Concrete Processes -- The Belousov-Zhabotinskii Reaction : A paradigm for theoretical studies of dynamical systems -- The nitrogen transformation cycle in water -- Modelling of polymer growth -- A mathematical model of group defence in predator-prey systems -- Vector-transmitted diseases in structured populations -- Nonlinear behaviour in mathematical models of anaerobic digesters -- Examples of computer-aided exploration and design of dynamical systems in neurosciences: Design of optimal nets -- A dynamical model of synaptic transmission -- Gradients for replicator systems -- Part IV: Mathematical Description of Environmental Processes -- The limiting factor concept in relation to stability, sensitivity and bifurcation in plankton models -- Effects of structured environment to dynamic, behaviour : Some illustrations -- Modelling and control of yeast growth in biotechnical systems -- A dynamic simulation model of tree development under pollution stress -- A biota model to assess the influence of human impacts on the global carbon cycle -- An integrative approach to the solution of ecological problems with particular attention to the regional case -- Application of the evolon model on evolution and energy growth processes -- Non-linear dynamics of the epidemics of some childhood deseases in Copenhagen, Denmark -- Modelling an estimating transport and fate of heavy metals in water column and sediment layer in some enclosed branches of the sea in the S.W. Netherlands -- POSTER SESSION -- Mathematical software developed by the Karl-Weierstraß-Institute of Mathematics restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Issued also in print. Mode of access: Internet via World Wide Web. In German. Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2022) SCIENCE / System Theory. bisacsh Albrecht, K.-F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Aldenberg, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Amann, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Argoul, F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Arneodo, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Barna, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bley, Th., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bossel, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bothe, H. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bothe, Hans Günter, editor. edt http://id.loc.gov/vocabulary/relators/edt Brunovsky, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bröhl-Kerner, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cierzynski, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Czajkovski, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ebeling, W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ebeling, Werner, editor. edt http://id.loc.gov/vocabulary/relators/edt Engel, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Erdi, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Feistel, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Felber, F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Freedman, H. I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Heinritz, B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Herzel, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hunding, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kairiukstis, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kindlmann, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kmet, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Koch, B. P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kostova-Vasilevska, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kubíček, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kubíčková, Z., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kurzhanski, Alexander B., editor. edt http://id.loc.gov/vocabulary/relators/edt Labos, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lasota, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Leven, R. W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Maistrenko, Yu. L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Malchow, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Marek, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Markman, G. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Markov, S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mazenko, V. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mende, W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nicolis, J. S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nogradi, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Olsen, L. F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Peschel, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Peschel, Manfred, editor. edt http://id.loc.gov/vocabulary/relators/edt Richetti, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Roux, J. C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schneider, K. R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schulmeister, Th., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sharkovsky, A. N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shnol, E. E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sigmund, K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Voigt, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vrie, E. M. van den, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wolkowicz, G. S. K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Reference Works <1990 9783110637342 ZDB-23-GRW print 9783112484678 https://doi.org/10.1515/9783112484685 https://www.degruyter.com/isbn/9783112484685 Cover https://www.degruyter.com/document/cover/isbn/9783112484685/original |
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German |
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author_sort |
Albrecht, K.-F., |
title |
Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / |
spellingShingle |
Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / Mathematical Ecology Frontmatter -- Introductory Remarks -- List of Participants -- Contents -- Part I: Mathematical Theory of Dynamical Systems -- Hausdorff dimension of attractors: An example -- K-stability as an ecologically more relevant stability concept -- Stability, periodicity and chaos from the statistical point of view -- Singularly perturbed autonomous differential systems -- Difference equations with continuous time as mathematical models of the structure emergencies -- Stability of equilibria in critical cases -- Part II: General Mathematical Models -- Permanence in population dynamics -- Models of evolution processes including age structure -- Pattern formation in an ionic reaction-diffusion system: A contribution to the morphogene prepattern theory of mitosis -- Chaotic dynamics and fluctuations in a biochemical system -- Periodic, quasiperiodic and chaotic motion in a forced predator-prey ecosystem -- Chaotic dynamics of logical paradoxes -- Control of growth processes -- Part III. Mathematical Models for Concrete Processes -- The Belousov-Zhabotinskii Reaction : A paradigm for theoretical studies of dynamical systems -- The nitrogen transformation cycle in water -- Modelling of polymer growth -- A mathematical model of group defence in predator-prey systems -- Vector-transmitted diseases in structured populations -- Nonlinear behaviour in mathematical models of anaerobic digesters -- Examples of computer-aided exploration and design of dynamical systems in neurosciences: Design of optimal nets -- A dynamical model of synaptic transmission -- Gradients for replicator systems -- Part IV: Mathematical Description of Environmental Processes -- The limiting factor concept in relation to stability, sensitivity and bifurcation in plankton models -- Effects of structured environment to dynamic, behaviour : Some illustrations -- Modelling and control of yeast growth in biotechnical systems -- A dynamic simulation model of tree development under pollution stress -- A biota model to assess the influence of human impacts on the global carbon cycle -- An integrative approach to the solution of ecological problems with particular attention to the regional case -- Application of the evolon model on evolution and energy growth processes -- Non-linear dynamics of the epidemics of some childhood deseases in Copenhagen, Denmark -- Modelling an estimating transport and fate of heavy metals in water column and sediment layer in some enclosed branches of the sea in the S.W. Netherlands -- POSTER SESSION -- Mathematical software developed by the Karl-Weierstraß-Institute of Mathematics |
title_sub |
Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / |
title_full |
Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / hrsg. von Hans Günter Bothe, Manfred Peschel, Alexander B. Kurzhanski, Werner Ebeling. |
title_fullStr |
Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / hrsg. von Hans Günter Bothe, Manfred Peschel, Alexander B. Kurzhanski, Werner Ebeling. |
title_full_unstemmed |
Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / hrsg. von Hans Günter Bothe, Manfred Peschel, Alexander B. Kurzhanski, Werner Ebeling. |
title_auth |
Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / |
title_alt |
Frontmatter -- Introductory Remarks -- List of Participants -- Contents -- Part I: Mathematical Theory of Dynamical Systems -- Hausdorff dimension of attractors: An example -- K-stability as an ecologically more relevant stability concept -- Stability, periodicity and chaos from the statistical point of view -- Singularly perturbed autonomous differential systems -- Difference equations with continuous time as mathematical models of the structure emergencies -- Stability of equilibria in critical cases -- Part II: General Mathematical Models -- Permanence in population dynamics -- Models of evolution processes including age structure -- Pattern formation in an ionic reaction-diffusion system: A contribution to the morphogene prepattern theory of mitosis -- Chaotic dynamics and fluctuations in a biochemical system -- Periodic, quasiperiodic and chaotic motion in a forced predator-prey ecosystem -- Chaotic dynamics of logical paradoxes -- Control of growth processes -- Part III. Mathematical Models for Concrete Processes -- The Belousov-Zhabotinskii Reaction : A paradigm for theoretical studies of dynamical systems -- The nitrogen transformation cycle in water -- Modelling of polymer growth -- A mathematical model of group defence in predator-prey systems -- Vector-transmitted diseases in structured populations -- Nonlinear behaviour in mathematical models of anaerobic digesters -- Examples of computer-aided exploration and design of dynamical systems in neurosciences: Design of optimal nets -- A dynamical model of synaptic transmission -- Gradients for replicator systems -- Part IV: Mathematical Description of Environmental Processes -- The limiting factor concept in relation to stability, sensitivity and bifurcation in plankton models -- Effects of structured environment to dynamic, behaviour : Some illustrations -- Modelling and control of yeast growth in biotechnical systems -- A dynamic simulation model of tree development under pollution stress -- A biota model to assess the influence of human impacts on the global carbon cycle -- An integrative approach to the solution of ecological problems with particular attention to the regional case -- Application of the evolon model on evolution and energy growth processes -- Non-linear dynamics of the epidemics of some childhood deseases in Copenhagen, Denmark -- Modelling an estimating transport and fate of heavy metals in water column and sediment layer in some enclosed branches of the sea in the S.W. Netherlands -- POSTER SESSION -- Mathematical software developed by the Karl-Weierstraß-Institute of Mathematics |
title_new |
Dynamical Systems and Environmental Models : |
title_sort |
dynamical systems and environmental models : proceedings of an international workshop cosponsored by iiasa and the academy of sciences of the gdr, held on the wartburg, eisenach (gdr), march 17—21, 1986 / |
series |
Mathematical Ecology |
series2 |
Mathematical Ecology |
publisher |
De Gruyter, |
publishDate |
2022 |
physical |
1 online resource (284 p.) Issued also in print. |
edition |
Reprint 2021 |
contents |
Frontmatter -- Introductory Remarks -- List of Participants -- Contents -- Part I: Mathematical Theory of Dynamical Systems -- Hausdorff dimension of attractors: An example -- K-stability as an ecologically more relevant stability concept -- Stability, periodicity and chaos from the statistical point of view -- Singularly perturbed autonomous differential systems -- Difference equations with continuous time as mathematical models of the structure emergencies -- Stability of equilibria in critical cases -- Part II: General Mathematical Models -- Permanence in population dynamics -- Models of evolution processes including age structure -- Pattern formation in an ionic reaction-diffusion system: A contribution to the morphogene prepattern theory of mitosis -- Chaotic dynamics and fluctuations in a biochemical system -- Periodic, quasiperiodic and chaotic motion in a forced predator-prey ecosystem -- Chaotic dynamics of logical paradoxes -- Control of growth processes -- Part III. Mathematical Models for Concrete Processes -- The Belousov-Zhabotinskii Reaction : A paradigm for theoretical studies of dynamical systems -- The nitrogen transformation cycle in water -- Modelling of polymer growth -- A mathematical model of group defence in predator-prey systems -- Vector-transmitted diseases in structured populations -- Nonlinear behaviour in mathematical models of anaerobic digesters -- Examples of computer-aided exploration and design of dynamical systems in neurosciences: Design of optimal nets -- A dynamical model of synaptic transmission -- Gradients for replicator systems -- Part IV: Mathematical Description of Environmental Processes -- The limiting factor concept in relation to stability, sensitivity and bifurcation in plankton models -- Effects of structured environment to dynamic, behaviour : Some illustrations -- Modelling and control of yeast growth in biotechnical systems -- A dynamic simulation model of tree development under pollution stress -- A biota model to assess the influence of human impacts on the global carbon cycle -- An integrative approach to the solution of ecological problems with particular attention to the regional case -- Application of the evolon model on evolution and energy growth processes -- Non-linear dynamics of the epidemics of some childhood deseases in Copenhagen, Denmark -- Modelling an estimating transport and fate of heavy metals in water column and sediment layer in some enclosed branches of the sea in the S.W. Netherlands -- POSTER SESSION -- Mathematical software developed by the Karl-Weierstraß-Institute of Mathematics |
isbn |
9783112484685 9783110637342 9783112484678 |
url |
https://doi.org/10.1515/9783112484685 https://www.degruyter.com/isbn/9783112484685 https://www.degruyter.com/document/cover/isbn/9783112484685/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783112484685 |
oclc_num |
1294425490 |
work_keys_str_mv |
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Title is part of eBook package: De Gruyter DGBA Reference Works <1990 |
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Dynamical Systems and Environmental Models : Proceedings of an International Workshop cosponsored by IIASA and the Academy of Sciences of the GDR, held on the Wartburg, Eisenach (GDR), March 17—21, 1986 / |
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Title is part of eBook package: De Gruyter DGBA Reference Works <1990 |
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Kurzhanski, Werner Ebeling.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2021</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2022]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1987</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (284 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Mathematical Ecology</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Introductory Remarks -- </subfield><subfield code="t">List of Participants -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Part I: Mathematical Theory of Dynamical Systems -- </subfield><subfield code="t">Hausdorff dimension of attractors: An example -- </subfield><subfield code="t">K-stability as an ecologically more relevant stability concept -- </subfield><subfield code="t">Stability, periodicity and chaos from the statistical point of view -- </subfield><subfield code="t">Singularly perturbed autonomous differential systems -- </subfield><subfield code="t">Difference equations with continuous time as mathematical models of the structure emergencies -- </subfield><subfield code="t">Stability of equilibria in critical cases -- </subfield><subfield code="t">Part II: General Mathematical Models -- </subfield><subfield code="t">Permanence in population dynamics -- </subfield><subfield code="t">Models of evolution processes including age structure -- </subfield><subfield code="t">Pattern formation in an ionic reaction-diffusion system: A contribution to the morphogene prepattern theory of mitosis -- </subfield><subfield code="t">Chaotic dynamics and fluctuations in a biochemical system -- </subfield><subfield code="t">Periodic, quasiperiodic and chaotic motion in a forced predator-prey ecosystem -- </subfield><subfield code="t">Chaotic dynamics of logical paradoxes -- </subfield><subfield code="t">Control of growth processes -- </subfield><subfield code="t">Part III. Mathematical Models for Concrete Processes -- </subfield><subfield code="t">The Belousov-Zhabotinskii Reaction : A paradigm for theoretical studies of dynamical systems -- </subfield><subfield code="t">The nitrogen transformation cycle in water -- </subfield><subfield code="t">Modelling of polymer growth -- </subfield><subfield code="t">A mathematical model of group defence in predator-prey systems -- </subfield><subfield code="t">Vector-transmitted diseases in structured populations -- </subfield><subfield code="t">Nonlinear behaviour in mathematical models of anaerobic digesters -- </subfield><subfield code="t">Examples of computer-aided exploration and design of dynamical systems in neurosciences: Design of optimal nets -- </subfield><subfield code="t">A dynamical model of synaptic transmission -- </subfield><subfield code="t">Gradients for replicator systems -- </subfield><subfield code="t">Part IV: Mathematical Description of Environmental Processes -- </subfield><subfield code="t">The limiting factor concept in relation to stability, sensitivity and bifurcation in plankton models -- </subfield><subfield code="t">Effects of structured environment to dynamic, behaviour : Some illustrations -- </subfield><subfield code="t">Modelling and control of yeast growth in biotechnical systems -- </subfield><subfield code="t">A dynamic simulation model of tree development under pollution stress -- </subfield><subfield code="t">A biota model to assess the influence of human impacts on the global carbon cycle -- </subfield><subfield code="t">An integrative approach to the solution of ecological problems with particular attention to the regional case -- </subfield><subfield code="t">Application of the evolon model on evolution and energy growth processes -- </subfield><subfield code="t">Non-linear dynamics of the epidemics of some childhood deseases in Copenhagen, Denmark -- </subfield><subfield code="t">Modelling an estimating transport and fate of heavy metals in water column and sediment layer in some enclosed branches of the sea in the S.W. Netherlands -- </subfield><subfield code="t">POSTER SESSION -- </subfield><subfield code="t">Mathematical software developed by the Karl-Weierstraß-Institute of Mathematics</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In German.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. 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