Essentials of Topology with Applications (Textbooks in Mathematics) Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:

Brings Readers Up to Speed in This Important and Rapidly Growing Area

Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories.

After discussing the key ideas of topology, the author examines the more advanced topics of algebraic topology and manifold theory. He also explores meaningful applications in a number of areas, including the traveling salesman problem, digital imaging, mathematical economics, and dynamical systems. The appendices offer background material on logic, set theory, the properties of real numbers, the axiom of choice, and basic algebraic structures.

Taking a fresh and accessible approach to a venerable subject, this text provides excellent representations of topological ideas. It forms the foundation for further mathematical study in real analysis, abstract algebra, and beyond.

Essentials of Topology with Applications (Textbooks in Mathematics) by Steven G. Krantz

From reader reviews:

Sarah Johnson:

Do you really one of the book lovers? If yes, do you ever feeling doubt while you are in the book store? Try to pick one book that you just dont know the inside because don't determine book by its deal with may doesn't work here is difficult job because you are afraid that the inside maybe not since fantastic as in the outside look likes. Maybe you answer may be Essentials of Topology with Applications (Textbooks in Mathematics) why because the fantastic cover that make you consider with regards to the content will not disappoint a person. The inside or content is definitely fantastic as the outside or cover. Your reading sixth sense will directly show you to pick up this book.

Patrick Oneil:

Are you kind of stressful person, only have 10 as well as 15 minute in your moment to upgrading your mind expertise or thinking skill possibly analytical thinking? Then you are receiving problem with the book when compared with can satisfy your short period of time to read it because all of this time you only find book that need more time to be go through. Essentials of Topology with Applications (Textbooks in Mathematics) can be your answer given it can be read by an individual who have those short time problems.

Robert Wilkes:

Is it anyone who having spare time in that case spend it whole day through watching television programs or just lying down on the bed? Do you need something totally new? This Essentials of Topology with Applications (Textbooks in Mathematics) can be the solution, oh how comes? The new book you know. You are thus out of date, spending your spare time by reading in this completely new era is common not a geek activity. So what these books have than the others?

Clara Brownfield:

As we know that book is important thing to add our knowledge for everything. By a e-book we can know everything we wish. A book is a set of written, printed, illustrated or even blank sheet. Every year seemed to be exactly added. This book Essentials of Topology with Applications (Textbooks in Mathematics) was filled regarding science. Spend your extra time to add your knowledge about your scientific disciplines competence. Some people has various feel when they reading some sort of book. If you know how big good thing about a book, you can sense enjoy to read a reserve. In the modern era like currently, many ways to get book that you just wanted.