TUTM. Undergraduate Texts in Mathematics. Klaus Jänich. This is an intellectually stimulating, informal presentation of those parts of point set topology that are. Topology by Klaus Janich: Forward. Content. Sample. Back cover. Review. This is an intellectually stimulating, informal presentation of those parts of point set topology that are of importance to the nonspecialist.
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Customers who viewed this item also viewed. I feel uncomfortable with the proofs Hatcher gives.
Topology : Undergraduate Texts in Mathematics
As long as it is backed by the gold standard of rigorous proofs, the paper money of gestures is an invaluable aid for quick communication and fast circulation of ideas. East Dane Designer Men’s Fashion. As long as it is backed by the gold standard of rigorous proofs,the paper money of gestures is an invaluable aid for quick topologgy and fast circulation of ideas. The question of what constitutes a proof has constantly been questioned and revised since the beginnings of mathematics in the Ancient World.
For the same reason, intuitive arguments have I would even say crippled the speed at which I could otherwise read texts, which I understand is the opposite of what most people would say. If the intuitive argument cannot be rewritten in a completely axiomatic and pedantic manner where there is a completely logical progression from premises to a conclusion, then jjanich should seriously reconsider whether or not our intuitive argument is a valuable one. Share your thoughts with other customers.
Sometimes in mathematics it is difficult to see the forest for the trees.
Discover Prime Book Box for Kids. Get to Know Us. I believe that experienced mathematicians, who perhaps learned point-set topology from books such topoolgy those of Munkres, Topoology, or Bredon or even an analysis book such as Roydenappreciate how this book focuses on motivating the concepts, explaining how the various objects are used elsewhere in mathematics – for that purpose this is one of the finest books I have seen.
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Topology : K Janich :
Janich, Topology ,page 49,translation by Silvio Levy. Ships from and sold by Amazon. Write a customer review. ComiXology Thousands of Digital Comics. Buy the selected items together This item: But since algebraic topology is so jabich related to classical geometry, completely abstract reasoning would probably strip away much understanding of the sources of most of the central concepts,which I believe was Hatcher’s reason for writing the text in this manner.
Does that make sense? Is this level of rigour acceptable? Would you like to tell us about a lower price? Most of the proofs until the last chapters are of the 1- or 2-paragraph variety, with some pictures added, although as the book progresses the level becomes increasingly more sophisticated.
Undergraduate Texts in Mathematics Hardcover: Some relevant remarks by Terry Tao. Post as a guest Name.
Unless you are taking something on faith on purpose, but I get the feeling that is not your intent here, but rather you want to understand the material.
The book also covers both point-set topology topological spaces, compactness, connectedness, separation axioms, completeness, metric topology, TVS, quotient topology, countability, metrization, etc. I especially enjoyed the section on covering spaces with which it concludes.
This text gives the reason behind many advanced topological concepts and tantalizes the reader with it’s varied applications.
The author does a brilliant job of teaching the reader the essential concepts of point set topology, and the book is very fun to read. I am taking toology course in Algebraic Topology. Looking back, I was never uncomfortable with the kind of justifications we used to give in high school calculus and this current discomfiture stems from the fact that I have taken a few courses in Analysis in between.
Topklogy text is useful to all students of mathematics and physics alike. Amazon Renewed Refurbished products with a warranty. It is often said against intuitive, spatial argumentation that it is not really argumentation,but janicj so much gesticulation-just ‘handwaving’.