By George K. Francis
Praise for George Francis's A Topological Picturebook:
Bravo to Springer for reissuing this exact and lovely ebook! It not just reminds the older iteration of the pleasures of doing arithmetic through hand, but in addition exhibits the recent iteration what ``hands on'' quite means.
- John Stillwell, collage of San Francisco
The Topological Picturebook has taught an entire iteration of mathematicians to attract, to determine, and to think.
- Tony Robbin, artist and writer of Shadows of truth: The Fourth size in Relativity, Cubism, and smooth Thought
The vintage reference for the way to offer topological details visually, jam-packed with notable hand-drawn images of advanced surfaces.
- John Sullivan, Technische Universitat Berlin
A Topological Picturebook shall we scholars see topology because the unique discoverers conceived it: concrete and visible, freed from the formalism that burdens traditional textbooks.
- Jeffrey Weeks, writer of The form of Space
A Topological Picturebook is a visible banquet for somebody desirous about mathematical photos. Francis offers beautiful examples to construct one's "visualization muscles". even as, he explains the underlying ideas and layout ideas for readers to create their very own lucid drawings.
- George W. Hart, Stony Brook University
In this choice of narrative gemstones and interesting hand-drawn images, George Francis demonstrates the chicken-and-egg courting, in arithmetic, of picture and textual content. because the publication was once first released, the case for photographs in arithmetic has been gained, and now it's time to examine their that means. A Topological Picturebook continues to be indispensable.
- Marjorie Senechal, Smith university and co-editor of the Mathematical Intelligencer
Read or Download A Topological Picturebook PDF
Similar topology books
Comprises complete bookmarked desk of contents and numbered pages. this is often an development of a replica to be had throughout the Library Genesis venture. the actual Stillwell translation is dated July 31, 2009.
John Stillwell was once the recipient of the Chauvenet Prize for Mathematical Exposition in 2005. The papers during this ebook chronicle Henri Poincaré's trip in algebraic topology among 1892 and 1904, from his discovery of the elemental staff to his formula of the Poincaré conjecture. For the 1st time in English translation, you'll be able to stick with each step (and occasional stumble) alongside the way in which, with assistance from translator John Stillwell's creation and editorial reviews. Now that the Poincaré conjecture has eventually been proved, through Grigory Perelman, it kind of feels well timed to assemble the papers that shape the history to this well-known conjecture. Poincaré's papers are in reality the 1st draft of algebraic topology, introducing its major material (manifolds) and easy strategies (homotopy and homology). All mathematicians attracted to topology and its historical past will take pleasure in this e-book. This quantity is one among a casual series of works in the background of arithmetic sequence. Volumes during this subset, "Sources", are classical mathematical works that served as cornerstones for contemporary mathematical notion.
This quantity provides the court cases of the Tel Aviv overseas Topology convention held in the course of the particular Topology software at Tel Aviv college. The publication is devoted to Professor Mel Rothenberg at the party of his sixty fifth birthday. His contributions to topology are good known---from the early paintings on triangulations to varied papers on transformation teams and on geometric and analytic elements of torsion thought.
Jetzt in der achten Auflage, behandelt dieses bewährte Lehrbuch die Aspekte der mengentheoretischen Topologie, die jeder Mathematikstudent in mittleren Semestern kennen sollte. "Das erklärte Ziel des Autors battle es, von der mengentheoretischen Topologie in leicht faßlicher und anregender shape 'gerade so viel zu bringen, wie ein Mathematikstudent beherrschen sollte.
- Topological and Symbolic Dynamics
- Backgrounds of Arithmetic and Geometry: An Introduction
- Chemical Topology: Introduction and Fundamentals (Asian Mathematics Series,)
- Simplicial Homotopy Theory (Modern Birkhäuser Classics)
Additional info for A Topological Picturebook
In preparing a transparency, you have some choices to make. Despite technical advances, xerographic copies of your ink or pencil drawings on the plastic sheets usually require some touching up. Drawing ink works fine, and the picture can be enhanced further with the judicious use of colored inks. These come in two kinds, the water soluble, and thus eraseable, and the permanent ink markers. A combination of the two is useful if the transparency is to be reused. Ordinary india ink can also be erased by just rubbing.
Or, what comes to the same thing, the cross-ratio CR(D';Z,D,B) = - 1. Since it is the "perspectivist's ruler", a brief digression on the cross-ratio function is appropriate. For three points, O-U- V, on a line directed towards V, the function . _(X-O)(U-V) CR(X,O,U, V) - (X - V) (U - 0) assigns numbers to all points X on the line, once you give terms like (X - Q) the value of the signed distance from Q to X. Note that the function has values 0,1,00 when X = O,U,v. The mnemonic for the cross-ratio is: 0 for "origin", U for "unit" and V for "vanishing point".
Use razor blades to cut out, not scratch out, hopeless mistakes. An overlay will patch the hole nicely. I find it convenient to put the most complicated parts of a figure on the transparency before the lecture, CHAPTER 2 METHODS AND MEDIA 29 and add some details to it, or on an overlay, during the talk. Remember, you can work on both sides of the plastic. A figure can be drawn directly on the acetate, using a line pattern or complete picture as an underlay. Ordinary drawing ink works; inks more specifically intended for drawing on film are more permanent.