How Long to Read Lecture Notes in Algebraic Topology

By James F. Davis

How Long Does it Take to Read Lecture Notes in Algebraic Topology?

It takes the average reader 6 hours and 32 minutes to read Lecture Notes in Algebraic Topology by James F. Davis

Assuming a reading speed of 250 words per minute. Learn more

Description

The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies, students must make the transition from understanding simple proofs line-by-line to understanding the overall structure of proofs of difficult theorems. To help students make this transition, the material in this book is presented in an increasingly sophisticated manner. It is intended to bridge the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating on those areas of algebraic topology that are geometrically motivated. Prerequisites for using this book include basic set-theoretic topology, the definition of CW-complexes, some knowledge of the fundamental group/covering space theory, and the construction of singular homology. Most of this material is briefly reviewed at the beginning of the book. The topics discussed by the authors include typical material for first- and second-year graduate courses. The core of the exposition consists of chapters on homotopy groups and on spectral sequences. There is also material that would interest students of geometric topology (homology with local coefficients and obstruction theory) and algebraic topology (spectra and generalized homology), as well as preparation for more advanced topics such as algebraic $K$-theory and the s-cobordism theorem. A unique feature of the book is the inclusion, at the end of each chapter, of several projects that require students to present proofs of substantial theorems and to write notes accompanying their explanations. Working on these projects allows students to grapple with the “big picture”, teaches them how to give mathematical lectures, and prepares them for participating in research seminars. The book is designed as a textbook for graduate students studying algebraic and geometric topology and homotopy theory. It will also be useful for students from other fields such as differential geometry, algebraic geometry, and homological algebra. The exposition in the text is clear; special cases are presented over complex general statements.

How long is Lecture Notes in Algebraic Topology?

Lecture Notes in Algebraic Topology by James F. Davis is 385 pages long, and a total of 98,175 words.

This makes it 130% the length of the average book. It also has 120% more words than the average book.

How Long Does it Take to Read Lecture Notes in Algebraic Topology Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 56 minutes to read Lecture Notes in Algebraic Topology aloud.

What Reading Level is Lecture Notes in Algebraic Topology?

Lecture Notes in Algebraic Topology is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Lecture Notes in Algebraic Topology?

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