Mathematical Perspectives on Theoretical Physics: A Journey from Black Holes to Superstrings by Nirmala Prakash (PDF)

Description

This book presents the basics of mathematics that are needed for learning the physics of today. It describes briefly the theories of groups and operators, finite- and infinite-dimensional algebras, concepts of symmetry and supersymmetry, and then delineates their relations to theories of relativity and black holes, classical and quantum physics, electroweak fields and Yang-Mills. It concludes with a chapter on (the complex theory of) strings and superstrings and their link to black holes — an idea that fascinates both the physicist and the mathematician.

User’s Reviews

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

⭐This book attempts to cover the amount of theory that would require a shelf of books to cover adequately. As a result, it basically only gives the definitions and results (theorems without proofs) in each topic, something that one could get for free from online encyclopedias. There are problems with partial solutions, but they are not problems that a student who is exposed to the topics for the first time can solve. Since there are no proofs of theorems or examples, one cannot solve those problems from studying from this book alone, so why even put those problems in?To me this seems like a book that the author wrote to summarize the author’s knowledge (if the author has really indeed memorized this plethora of information???), while there is no way of understanding what the topics are about if you are reading the topics for the very first time. To master all the topics in this book would require years of serious studying, so you are better off buy books that specialize in these topics.

⭐Why did I by this book?Because I gave a look at the first pages using the “view inside” option. The first pages seemed great and in the index there was a big chapter on string theory. I thought: “ok, great, it seems I’ve found one more book covering string theory. If the formalism is the same as in introduction it it a good book to have to add to GSW and Polchinski”. The formalism is not the same. If fact each chapter seems to be disconnected to the others. And last but not the least: the last chapter is a copy/paste version, really copy/paste version, of green, schwartz, witten. Even the images are the same! How could it be connected to the previous chapters… And the author dares to say in the intro: “this book grew from the author’s conviction…”. No. At least the last chapter, it grew from copying another book. And that is not mentioned in the intro when the chapter is introduced. Only in the awknoledgments schwartz is cited among many others. In the string theory chapter where everything is copied from GSW the green book is not even cited! I was never so escandalised in my live. At least never in a matter related to physics.

⭐辞書として、講義のまとめ等、参考書としては、よいのでしょうが、もう少し、ぜい肉があっても、遊びの部分と一息つけてよかったのでは？特性類は、数学からのアイディア、物理側の具体例をだぶつきつつ、肥満気味にしてほしかった。ですが、適宜参考にするには、辞書の及ぶところではありません。（因みに、全部読み切れていません「-ing」ですので、ご了承を。

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Mathematical Perspectives on Theoretical Physics: A Journey from Black Holes to Superstrings PDF Free Download
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