- Tapa blanda: 158 páginas
- Editor: Minkowski Institute Press; Edición: 1 (21 de noviembre de 2013)
- Colección: Lecture Notes Series
- Idioma: Inglés
- ISBN-10: 1927763177
- ISBN-13: 978-1927763179
- Valoración media de los clientes: Sé el primero en opinar sobre este producto
- Clasificación en los más vendidos de Amazon: nº735.922 en Libros en idiomas extranjeros (Ver el Top 100 en Libros en idiomas extranjeros)
Topology: 1978 Lecture Notes: Volume 6 (Lecture Notes Series) (Inglés) Tapa blanda – 21 nov 2013
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This book is about the branch of mathematics called topology. But its larger purpose is to illustrate how mathematics works: The interplay between intuition on the one hand and a pure mathematical formulation on the other. Thus, we develop the axioms for a topological space, formulate definitions within the context of those axioms and actually prove theorems from the axioms. But underlying all this is our intuition about topology. It is this intuition that guides and gives "meaning" to the definitions we make and to the theorems we prove. No prior knowledge of mathematics is assumed. In fact, these were originally the notes for a course for freshman non-scientists. This book, including over 100 figures and problem sets with solutions, should be of interest to those who would like to understand what mathematics is all about, as well as those who would like to learn about the this important branch of mathematics.
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I did not understand the four star review of "a little too easy". Makes me think he did not read it through. The two star review got it right with the comment "First --- 5 stars for the writing and the mathematics of Robert Geroch. Insight, creativity, inspiration, and relation to physics ---- all top notch," but the reviewer, I submit, takes off too many stars for the typos. That reviewer would be hell to have grading your papers.
This is a good book to have on one's bookshelf. Informal style and concise, yet clear.
First --- 5 stars for the writing and the mathematics of Robert Geroch. Insight, creativity, inspiration, and relation to physics ---- all top notch. Much of the material here has the same flavor as that in his book Mathematical Physics (University of Chicago Press). The latter should be on the shelf of all practicing and aspiring mathematical/theoretical physicists. The book under review is primarily point set topology, but it is the viewpoint which is so interesting.
Second ---- -1 stars for the proof reading of this book. Yes, a negative number of stars! There are way too many typographical errors. For the expert this is not a problem, but for the beginner it drastically decreases the value of the book. For example on page 5 there is a confusing discussion about the difference between the boundary and the interior of a set. `Each is to assign to a given set another set which is its interior.' O.K., but what follows is confusing and probably a mistranscription. And the interior of a circle is spelled disk or disc within the same paragraph. One wonders why the publisher didn't hire a grad student to proof read Geroch's notes. Or why Geroch didn't want the final product to look better than it does. But can we blame him?
We may never know, but quite possibly it was a publisher hungry to quickly publish something that was not quite ready for market, and who wanted to maximize his bottom line. This is one of the things wrong with publishing today