Differential Geometry and Lie Groups for Physicists

Review of the hardback: 'All basic material that is necessary for a young scientist in the field of geometrical formulation of physical theories is included ... ordered and represented in a very appropriate manner ... with a great respect to the reader. ... I truly believe that reading this book will bring a real pleasure to all physically inclined young mathematicians and mathematically inclined young physicists ... a very good high level textbook ... [I] recommend it to all young scientists being interested in finding correspondence between harmony in the physical world and harmony in geometrical structures. ... well written, very well ordered and the exposition is very clear.' Journal of Geometry and Symmetry in Physics Review of the hardback: 'the contents of this book covers a lot (if not most) of what a theoretical physicist might wish to know about differential geometry and Lie groups. particularly useful may be that the modern formalism is always related to the classical one with tensor indices still mostly used in the physics literature.' American Mathematical Society Review of the hardback: '... the presentation is almost colloquial and this makes reading rather pleasant. The author has made a concerted effort to give intuitive interpretations of complicated ideas such as: the Lie derivative, tensors, the Hodge star operator, Lie group representations, Hamiltonian and Lagrangian mechanics, parallel transport, connections, curvature, gauge theories, spinors and Dirac operators. This will be much appreciated by students (and even researchers, I think). ... an excellent reference for geometers.' Zentralblatt MATH Review of the hardback: 'The contents of this book cover a lot (if not most) of what a theoretical physicist might wish to know about differential geometry and Lie groups.' Mathematical Reviews Hans-Peter Kunzle Review of the hardback: 'Marian Fecko deftly guides you through the material step-by-step, with all the rigour, but without the pain. When going through the chapters, definition by definition, proof by proof and hint by hint, you get an impression of a caring, experienced (and often quirkily funny, but never boring) tutor who really, really wants you to succeed.' Physics in Canada Review of the hardback: 'From the point of view of presentation the book has a lot going for it. It is written in a pedagogically discursive, conversational style with numerous workable examples and exercises distributed through the text. ... From the UK perspective a student undertaking a level 4 (level 5 in Scotland) or MSc course in theoretical physics would find this book well-pitched to his or her needs.' Contemporary Physics The contents of this book cover a lot (if not most) of what a theoretical physicist might wish to know about differential geometry and Lie groups. Hans-Peter Kunzle, Mathematical Reviews All basic material that is necessary for a young scientist in the field of geometrical formulation of physical theories is included ... ordered and represented in a very appropriate manner ... with a great respect to the reader. ... I truly believe that reading this book will bring a real pleasure to all physically inclined young mathematicians and mathematically inclined young physicists ... a very good high level textbook ... [I] recommend it to all young scientists being interested in finding correspondence between harmony in the physical world and harmony in geometrical structures. ... well written, very well ordered and the exposition is very clear. Journal of Geometry and Symmetry in Physics the contents of this book covers a lot (if not most) of what a theoretical physicist might wish to know about differential geometry and Lie groups. particularly useful may be that the modern formalism is always related to the classical one with tensor indices still mostly used in the physics literature. American Mathematical Society ... the presentation is almost colloquial and this makes reading rather pleasant. The author has made a concerted effort to give intuitive interpretations of complicated ideas such as: the Lie derivative, tensors, the Hodge star operator, Lie group representations, Hamiltonian and Lagrangian mechanics, parallel transport, connections, curvature, gauge theories, spinors and Dirac operators. This will be much appreciated by students (and even researchers, I think). ... an excellent reference for geometers. Zentralblatt MATH Marian Fecko deftly guides you through the material step-by-step, with all the rigor, but without the pain. When going through the chapters, definition by definition, proof by proof and hint by hint, you get an impression of a caring, experienced (and often quirkily funny, but never boring) tutor who really, really wants you to succeed. Sergei Slobodov, UBC for Physics in Canada