A Panoramic View of Riemannian Geometry by Marcel Berger (PDF)

Description

This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field. From the reviews “The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry.” –MATHEMATICAL REVIEWS

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Great book!!!

⭐This is one of the greatest mathematics books ever written!I say that because Marcel Berger has an encyclopedic knowledge of Riemannian geometry, and he shares much of that withthe world in a manner that is so educational.I am studying this subject for the second time, and at this stage I wanted to get a broad view of what the subject is about, what isits history, what are important examples etc. Berger provides exactly what I wanted, in a very enjoyable style.There are 1,310 references listed, all of which Berger has read. He has given his life to this subject.Merci, Marcel! Bien fait.

⭐This is a beautifully written survey of a wide swath of modern mathematics and mathematical physics related to Riemannian geometry. For a non-expert, like me, it allowed me to get a broad perspective on the field without having to struggle through so many proofs. The explanations are clear and rigorous (two goals which are frequently in conflict). There is a vast bibliography as well. A number of problems I was familiar with in other contexts turn out to have unplumbed (by me at least) geometrical significance. All in all, a wonderful book.

⭐Excellent exposition of a wide variety of topics in geometry for the non-expert like me. It helped me get a better grasp of a number of differential geometric structures that are used in theoretical physics these days, without having to wade through a bunch of proofs. The list of references is immense, so that the reader can follow up with more detailed, and more rigorous, material for topics of choice. Highly recommended for mathematicians and physicists alike.

⭐This book is a good reference for anyone who wants to know about the development of riemannian geometry. It covers many active topics in modern differential geometry for every graduated students who can choose some interested fields for the thesis.

⭐very good to emage the space

⭐Everything excellent.

⭐Stare aggiornati sugli ultimi sviluppi della Materia trattata.

⭐

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