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It remains indispensable to those who desire a rigorous presentation of the foundations of the subject. -- "Quarterly of Applied Mathematics
The translator and publisher have performed a service in making the classic available to a wider circle of English-speaking readers. It remains indispensable to those who desire a rigorous presentation of the foundations of the subject. -- A. F. Stevenson, Quarterly of Applied Mathematics
The translator and publisher have performed a service in making the classic available to a wider circle of English-speaking readers. It remains indispensable to those who desire a rigorous presentation of the foundations of the subject. -- A. F. Stevenson, Quarterly of Applied Mathematics
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Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some of the general problems of quantum theory, such as quantum statistical mechanics as well as measurement processes. Regarded as a tour de force at the time of publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.
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The year 1925 brought the resolution. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Back Cover
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12 of 16 people found the following review helpful
Format:Paperback
The content of this book needs no review. John von Neumann was a man of rare genius who , unfortunately, died while still in his prime. It would be presumptuous in the extreme for an amateur and dilettante mathematician like myself, to criticise his work. The task, for someone like me is to read and attempt to understand his writing. To comment on the publishing standards however, do fall within my competence. On opening this book, I am reminded of nothing more than the typed and Xeroxed lecture notes that were occasionally available from a tutor. The paper is claimed to be acid free. It feels like the material which gave pulp magazines their name. Thick and coarse. The worst aspect of this book though, is the font. The Greek characters are miniscule compared to the main type. The superscripts and subscripts are almost indistinguishable from the body type, both in size and position. This makes it a very tiring task to read the mathematical script which makes up the majority of the text. A groundbreaking contribution to this area of physics which ought to be studied by anyone interested . A task made considerably harder by the publishing standards of this book. The cover however, is very slick and well presented. There is probably a proverb there for anyone who has a mind to create one.
Format:Paperback|Amazon Verified Purchase
Straight into Hilbert space. The algebra is the fount of everything. And it works.
You get the feeling that von Neumann just steam-rollerred the whole infant subject into submission.
Given who the author is, this is to be expected. It is undoubtedly a magnificent achievement.
But the book is clearly a photocopy of a manuscript knocked up on an old fashioned typewriter. The layout is very poor. It even contains hand-written special characters. It is a very poor production for a vast amount of money.
I particularly wanted to see his proof that the actual point of measurement is when that measurement sinks into the consciousness. Found it. The logic is impeccable, but I don't know that I believe it.
I had also heard that the concept of "the collapse of the wave function" is due to von Neumann. I did not find that confirmed in this book. But as a wave function is, for von Neumann, only another chance to get straight back into Hilbert space, perhaps he did not invent this concept, after all.
This is a historical document - not a book for students or (like me) the casual observer.
You get the feeling that von Neumann just steam-rollerred the whole infant subject into submission.
Given who the author is, this is to be expected. It is undoubtedly a magnificent achievement.
But the book is clearly a photocopy of a manuscript knocked up on an old fashioned typewriter. The layout is very poor. It even contains hand-written special characters. It is a very poor production for a vast amount of money.
I particularly wanted to see his proof that the actual point of measurement is when that measurement sinks into the consciousness. Found it. The logic is impeccable, but I don't know that I believe it.
I had also heard that the concept of "the collapse of the wave function" is due to von Neumann. I did not find that confirmed in this book. But as a wave function is, for von Neumann, only another chance to get straight back into Hilbert space, perhaps he did not invent this concept, after all.
This is a historical document - not a book for students or (like me) the casual observer.
0 of 4 people found the following review helpful
Format:Paperback
I agree with the previous reviewer. There are no diagrams and plenty of maths. You cannot see the wood for the trees. Do not waste your money, buy Modern Spectroscopy by Hollis. It has maths but there are plenty of diagrams. Pictures explain a theory much better to you, than some arcane intergral. It is a shame because it has applications to lasers, all types of spectra and superconductivity and the heavy metals spectra. No disrespect to Janosh (John in English) he was a great physicist and mathematician.
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