Nash Manifolds
Masahiro Shiota
Reading Time
at 250 WPM3h 56m
The average reader, reading at a speed of 250 WPM, would take 3h 56m to read Nash Manifolds.
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8
days at 30 min/day
236
total minutes
Nash Manifolds
Published
Jul 28, 1987
Publisher
Springer
Pages
236
ISBN-13
9783540181026
ISBN-10
3540181024
Description
A Nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of Nash that a compact differentiable manifold can be imbedded in a Euclidean space so that the image is precisely such a manifold. This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. Basic to the theory is an algebraic analogue of Whitney's Approximation Theorem. This theorem induces a "finiteness" of Nash manifold structures and differences between Nash and differentiable manifolds. The point of view of the author is topological. However the proofs also require results and techniques from other domains so elementary knowledge of commutative algebra, several complex variables, differential topology, PL topology and real singularities is required of the reader. The book is addressed to graduate students and researchers in differential topology and real algebraic geometry.
Subjects
The Mathematical works of J. H. C. Whitehead
Mathematical analysis
Mathematics Without Boundaries
Global Analysis in Mathematical Physics
Mathematical Visualization
Topics in Physical Mathematics
Frequently Asked Questions
How many pages are in Nash Manifolds?
This edition of Nash Manifolds has approximately 236 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Nash Manifolds?
For most readers, Nash Manifolds typically takes between 4h 55m and 3h 17m to complete. This is based on the book's length of approximately 59,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 3h 56m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 8 days • Estimated word count: 59,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Nash Manifolds?
The estimated word count for Nash Manifolds is approximately 59,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Nash Manifolds?
Nash Manifolds was written by Masahiro Shiota.
When was Nash Manifolds published?
The publication date for this specific edition is Jul 28, 1987. The original work may have been published on a different date.