Differential Topology Bjrn Ian Dundas by Bjørn Ian Dundas instant download after payment.

There are several excellent texts on differential topology. Unfortunately none of them proved to meet the particular criteria for the new course for the civil engineering students at NTNU. These students have no prior background in point-set topology, and many have no algebra beyond basic linear algebra. However, the obvious solutions to these problems were unpalatable. Most “elementary” text books were not sufficiently to-the-point, and it was no space in our curriculum for “the necessary background” for more streamlined and advanced texts.
The solutions to this has been to write a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints. Through the many examples and worked exercises the students have a better chance at getting used to the language and spirit of the field before trying themselves at it. This said, the exercises are an essential part of the text, and the class has spent a substantial part of its time at them.
The appendix covering the bare essentials of point-set topology was covered at the be-ginning of the semester (parallel to the introduction and the smooth manifold chapters), with the emphasis that point-set topology was a tool which we were going to use all the time, but that it was NOT the subject of study (this emphasis was the reason to put this material in an appendix rather at the opening of the book).
The text owes a lot to Bröcker and Jänich’s book, both in style and choice of material. This very good book (which at the time being unfortunately is out of print) would have been the natural choice of textbook for our students had they had the necessary background and mathematical maturity. Also Spivak, Hirsch and Milnor’s books have been a source of examples.