Geometry and the Imagination - 13 Angebote vergleichen

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Shipping costs to: USA.
Von Händler/Antiquariat, The World of Rare Books.
Chelsea Publishing Company, 1952. Hardcover. Good. 1952. 357 pages. No dust jacket. Purple boards. Book contains black and white illustrations. Illustrations are clean and neat. Neat clean pages with light tanning to endpapers and page edges. Some pencil annotations to paste-down. Few dog eared corners. Finger marking to page edges. Softening to spine with mild bleaching, sunning to spine, boards and edges. Water marks to spine, boards and edges. A few marks, wear and bumps to spine ends, boards and edges. Slight lean to spine.

Lieferung aus: Vereinigte Staaten von Amerika, Usually ships in 1-2 business days, Real shipping costs can differ.
Von Händler/Antiquariat, LeReve.
This remarkable book has endured as a true masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer--after more than half a century! The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. "Hilbert and Cohn-Vossen" is full of interesting facts, many of which you wish you had known before, or had wondered where they could be found. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in $\mathbb{R}^3$. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: $\pi/4 = 1 - 1/3 + 1/5 - 1/7 + - \ldots$. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is "Projective Configurations". In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. Here, we see regular polyhedra again, from a different perspective. One of the high points of the chapter is the discussion of Schlafli's Double-Six, which leads to the description of the 27 lines on the general smooth cubic surface. As is true throughout the book, the magnificent drawings in this chapter immeasurably help the reader. A particularly intriguing section in the chapter on differential geometry is Eleven Properties of the Sphere. Which eleven properties of such a ubiquitous mathematical object caught their discerning eye and why? Many mathematicians are familiar with the plaster models of surfaces found in many mathematics departments. The book includes pictures of some of the models that are found in the Göttingen collection. Furthermore, the mysterious lines that mark these surfaces are finally explained! The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the "pantheon" of great mathematics books. Hardcover, Label: Chelsea Pub Co, Chelsea Pub Co, Product group: Book, Published: 1952-06, Studio: Chelsea Pub Co, Sales rank: 4316823.

Lieferung aus: Vereinigte Staaten von Amerika, Usually ships in 6-10 business days, Real shipping costs can differ.
Von Händler/Antiquariat, Chris's Bargains.
In 1899, Hilbert proposed the Hilbert's axioms, substituting the traditional axioms of Euclid. They avoid weaknesses identified in those of Euclid, whose works at the time were still used textbook-fashion. Hilbert's approach signaled the shift to the modern axiomatic method. Axioms are not taken as self-evident truths. Geometry may treat things, about which we have powerful intuitions, but it is not necessary to assign any explicit meaning to the undefined concepts. The elements, such as point, line, plane, and others, could be substituted, as Hilbert is reported to have said, by tables, chairs, glasses of beer and other such objects. It is their defined relationships that are discussed. Hilbert first enumerates the undefined concepts: point, line, plane, lying on (a relation between points and lines, points and planes, and lines and planes), betweenness, congruence of pairs of points (line segments), and congruence of angles. The axioms unify both the plane geometry and solid geometry of Euclid in a single system. Hilbert put forth a most influential list of 23 unsolved problems at the International Congress of Mathematicians in Paris in 1900. This is generally reckoned the most successful and deeply considered compilation of open problems ever to be produced by an individual mathematician. Hardcover, Edition: 1st Edition, Label: Chelsea Publishing House, Chelsea Publishing House, Product group: Book, Published: 1952-01-01, Studio: Chelsea Publishing House, Sales rank: 3490721.

Lieferung aus: Vereinigte Staaten von Amerika, Lagernd.
geometry and topology,mathematics,science and math, Geometry and the Imagination (AMS Chelsea Publishing), This remarkable book has endured as a true masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer--after more than half a century! The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. "Hilbert and Cohn-Vossen" is full of interesting facts, many of which you wish you had known before, or had wondered where they could be found. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in $\mathbb{R}^3$. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: $\pi/4 = 1 - 1/3 + 1/5 - 1/7 + - \ldots$. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is "Projective Configurations". In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly ric.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, plus shipping, Shipping area: EUR.
Von Händler/Antiquariat, Anybook Ltd. Lincoln, [RE:4].
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket., 900grams, ISBN: 0828400873. Hard cover.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Shipping costs to: USA.
Von Händler/Antiquariat, Better World Books Ltd.
Chelsea Pub Co. Used - Good. Ships from the UK. Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee. Your purchase also supports literacy charities.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Shipping costs to: USA.
Von Händler/Antiquariat, Anybook Ltd.
Chelsea Publishing Company, 1952. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. , 900grams, ISBN:0828400873.

Lieferung aus: Vereinigte Staaten von Amerika, Shipping costs to: USA.
Von Händler/Antiquariat, allianz.
Good. Used book in good condition. Has wear to the cover and pages. Contains some markings such as highlighting and writing. 100% guaranteed. 031118.

Lieferung aus: Vereinigte Staaten von Amerika, Lagernd.
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Lieferung aus: Vereinigte Staaten von Amerika, plus shipping, Shipping area: DOM.
Von Händler/Antiquariat, booklab, VA, Chantilly, [RE:3].
Great customer service. You will be happy! Hardcover.