T. A. Vilgis is Professor of Theoretical Physics at the University of Mainz and a researcher at the Max Planck Institute for Polymer Research. He is a member of several scientific societies including the German Physical Society, EPS, and APS. He has written three popular science books and two scientific cookbooks. G. Heinrich is Professor of Polymer Materials at Technische Universität Dresden and is also Director of the Institute of Polymer Materials within the Leibniz Institute of Polymer Research. He has written or contributed to over 250 scientific papers and book chapters on polymer science. M. Klüppel is a Lecturer in Polymer Materials at Leibniz University, Hannover and Head of the Department of Material Concepts and Modelling at the German Institute of Rubber Technology (DIK). He has published more than 150 scientific papers and is a member of the German Physical Society, the German Rubber Society and the Rubber Division of ACS.

• 1. Introduction; 2. Basics about polymers; 3. Many chain systems: melts and screenings; 4. Rubber formation; 5. The elastomer matrix; 6. Polymers of larger connectivity: branched polymers and polymeric fractals; 7. Reinforcing fillers; 8. Hydrodynamic reinforcement of elastomers; 9. Polymer-filler interactions; 10. Filler-filler interactions.

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T. A. Vilgis is Professor of Theoretical Physics at the University of Mainz and a researcher at the Max Planck Institute for Polymer Research. He is a member of several scientific societies including the German Physical Society, EPS, and APS. He has written three popular science books and two scientific cookbooks. G. Heinrich is Professor of Polymer Materials at Technische Universität Dresden and is also Director of the Institute of Polymer Materials within the Leibniz Institute of Polymer Research. He has written or contributed to over 250 scientific papers and book chapters on polymer science. M. Klüppel is a Lecturer in Polymer Materials at Leibniz University, Hannover and Head of the Department of Material Concepts and Modelling at the German Institute of Rubber Technology (DIK). He has published more than 150 scientific papers and is a member of the German Physical Society, the German Rubber Society and the Rubber Division of ACS.

• 1. Introduction; 2. Basics about polymers; 3. Many chain systems: melts and screenings; 4. Rubber formation; 5. The elastomer matrix; 6. Polymers of larger connectivity: branched polymers and polymeric fractals; 7. Reinforcing fillers; 8. Hydrodynamic reinforcement of elastomers; 9. Polymer-filler interactions; 10. Filler-filler interactions.

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T. A. Vilgis is Professor of Theoretical Physics at the University of Mainz and a researcher at the Max Planck Institute for Polymer Research. He is a member of several scientific societies including the German Physical Society, EPS, and APS. He has written three popular science books and two scientific cookbooks. G. Heinrich is Professor of Polymer Materials at Technische Universität Dresden and is also Director of the Institute of Polymer Materials within the Leibniz Institute of Polymer Research. He has written or contributed to over 250 scientific papers and book chapters on polymer science. M. Klüppel is a Lecturer in Polymer Materials at Leibniz University, Hannover and Head of the Department of Material Concepts and Modelling at the German Institute of Rubber Technology (DIK). He has published more than 150 scientific papers and is a member of the German Physical Society, the German Rubber Society and the Rubber Division of ACS.

• 1. Introduction; 2. Basics about polymers; 3. Many chain systems: melts and screenings; 4. Rubber formation; 5. The elastomer matrix; 6. Polymers of larger connectivity: branched polymers and polymeric fractals; 7. Reinforcing fillers; 8. Hydrodynamic reinforcement of elastomers; 9. Polymer-filler interactions; 10. Filler-filler interactions.

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