Following a Laurea degree at the Università degli Studia di Milano and a PhD at Illinois Institute of Technology, Professor Radaelli has held posts at the Argonne National Laboratory, CNRS Grenoble, the Institute Laue-Langevin and the ISIS Facility at the Rutherford Appleton Laboratory. His main interest is the study of transition metal oxides displaying novel physical phenomena, such as high-temperature superconductivity, 'colossal' magneto-resistance or multiferroics behaviour, with the potential of device applications. He is now Dr Lee's Professor of Experimental Philosophy at the Clarendon Laboratory, Oxford University

Written in a very stylish and accessible manner and supported with many useful black-and-white pictures and photographs in addition to important equations... Paolo Radaelli has succeeded in handling the subject of symmetry and its relevance to crystallography over just 144 pages which is in itself a great accomplishment. The book contains a great collection of monographs and textbooks lists and symmetry-related references in different topics of art, crystallography, mathematical and physical sciences that can be excellent supporting materials to the reader.

• 1. Symmetry around a fixed point ; 2. Frieze patterns and frieze groups ; 3. Wallpaper (plane) groups ; 4. Coordinate systems in crystallography ; 5. The mathematical form of symmetry operators ; 6. Distances, angles and the real and reciprocal spaces ; 7. A phase transition in 2 dimensions ; 8. Point groups in 3D ; 9. The 14 3D Bravais lattices ; 10. 3D space group symmetry ; 11. Symmetry and reflection conditions in reciprocal space ; 12. The Wigner-Seitz constructions and the Brillouin zones

Following a Laurea degree at the Università degli Studia di Milano and a PhD at Illinois Institute of Technology, Professor Radaelli has held posts at the Argonne National Laboratory, CNRS Grenoble, the Institute Laue-Langevin and the ISIS Facility at the Rutherford Appleton Laboratory. His main interest is the study of transition metal oxides displaying novel physical phenomena, such as high-temperature superconductivity, 'colossal' magneto-resistance or multiferroics behaviour, with the potential of device applications. He is now Dr Lee's Professor of Experimental Philosophy at the Clarendon Laboratory, Oxford University

Written in a very stylish and accessible manner and supported with many useful black-and-white pictures and photographs in addition to important equations... Paolo Radaelli has succeeded in handling the subject of symmetry and its relevance to crystallography over just 144 pages which is in itself a great accomplishment. The book contains a great collection of monographs and textbooks lists and symmetry-related references in different topics of art, crystallography, mathematical and physical sciences that can be excellent supporting materials to the reader.

• 1. Symmetry around a fixed point ; 2. Frieze patterns and frieze groups ; 3. Wallpaper (plane) groups ; 4. Coordinate systems in crystallography ; 5. The mathematical form of symmetry operators ; 6. Distances, angles and the real and reciprocal spaces ; 7. A phase transition in 2 dimensions ; 8. Point groups in 3D ; 9. The 14 3D Bravais lattices ; 10. 3D space group symmetry ; 11. Symmetry and reflection conditions in reciprocal space ; 12. The Wigner-Seitz constructions and the Brillouin zones

Following a Laurea degree at the Università degli Studia di Milano and a PhD at Illinois Institute of Technology, Professor Radaelli has held posts at the Argonne National Laboratory, CNRS Grenoble, the Institute Laue-Langevin and the ISIS Facility at the Rutherford Appleton Laboratory. His main interest is the study of transition metal oxides displaying novel physical phenomena, such as high-temperature superconductivity, 'colossal' magneto-resistance or multiferroics behaviour, with the potential of device applications. He is now Dr Lee's Professor of Experimental Philosophy at the Clarendon Laboratory, Oxford University

Written in a very stylish and accessible manner and supported with many useful black-and-white pictures and photographs in addition to important equations... Paolo Radaelli has succeeded in handling the subject of symmetry and its relevance to crystallography over just 144 pages which is in itself a great accomplishment. The book contains a great collection of monographs and textbooks lists and symmetry-related references in different topics of art, crystallography, mathematical and physical sciences that can be excellent supporting materials to the reader.

• 1. Symmetry around a fixed point ; 2. Frieze patterns and frieze groups ; 3. Wallpaper (plane) groups ; 4. Coordinate systems in crystallography ; 5. The mathematical form of symmetry operators ; 6. Distances, angles and the real and reciprocal spaces ; 7. A phase transition in 2 dimensions ; 8. Point groups in 3D ; 9. The 14 3D Bravais lattices ; 10. 3D space group symmetry ; 11. Symmetry and reflection conditions in reciprocal space ; 12. The Wigner-Seitz constructions and the Brillouin zones