Murakami Sale
 
 

Recently Viewed clear list


Q&A | August 19, 2014

Richard Kadrey: IMG Powell’s Q&A: Richard Kadrey



Describe your latest book. The Getaway God is the sixth book in the Sandman Slim series. In it, the very unholy nephilim, James Stark, aka Sandman... Continue »
  1. $17.49 Sale Hardcover add to wish list

spacer

Glimpses of Algebra & Geometry 2ND Edition

by

Glimpses of Algebra & Geometry 2ND Edition Cover

 

Synopses & Reviews

Publisher Comments:

The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between Number Theory, Classical Geometry and Modern Algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further. Glimpses also sheds light on some of the links between the first recorded intellectual attempts to solve ancient problems of Number Theory and Geometry and twentieth century mathematics. GLIMPSES will appeal to students who wish to learn modern mathematics, but have few prerequisite courses, and to high-school teachers who always had a keen interest in mathematics, but seldom the time to pursue background technicalities. Even postgraduate mathematicians will enjoy being able to browse through a number of mathematical disciplines in one sitting. This new edition includes invaluable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Möbius groups a la Klein, and a quick, direct, and modern approach to Felix Kleins "Normalformsatz," the main result of his spectacular theory of icosahedron and his solution of the irreducible quintic in terms of hypergeometric functions. Gabor Toth is the Chair and Graduate Director of the Department of Mathematical Sciences at Rutgers University, Camden. His previous publications include Finite Mobius Groups, Spherical Minimal Immersions and Moduli (2001), Harmonic Maps and Minimal Immersion Through Representation Theory (1990) and Harmonic and Minimal Maps with Applications in Geometry and Physics (1984). Professor Toths main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers.

Synopsis:

Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http://mathsgi01.rutgers.edu/cgi-bin/wrap/gtoth/; Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems

Synopsis:

The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between number theory, classical geometry and modern algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further.

Table of Contents

* "A Number is a multitude composed of units" (Euclid) * "..there are no irrational numbers at all" (Kronecker) * Rationality, Elliptic Curves and Fermat's Last Theorem * Algebraic or Transcendential? * Complex Arithmetic * Quadratic, Cubic, and Quartic Equations * Stereographic Projection * Proof of the Fundamental Theorem of Algebra * Symmetries of Regular Polygons * Discrete Subgroups of Iso(R^2) * Möbius Geometry * Complex Linear Fractional Transformations * "Out of nothing I have created a new universe" (Bolyai) * Fuchsian Groups * Riemann Surfaces * General Surfaces * The Five Platonic Solids * Finite Möbius Groups * Detour in Topology: Euler-Poincare Characteristic * Detour in Graph Theory: Euler, Hamilton and the Four Color Theorem * Dimension Leap * Quaternions * Back to R^3! * Invariants * The Icosahedron and the Unsolvable Quintic * The Fourth Dimension * Appendices * Solutions for 100 Selected Problems * Index

Product Details

ISBN:
9780387953458
Author:
Toth, Gabor
Publisher:
Springer
Author:
Toth, G.
Location:
New York, NY
Subject:
Algebra
Subject:
Geometry - General
Subject:
Geometry
Subject:
Algebra - General
Subject:
Mathematics - Algebra
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Number Theory
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2002
Series:
Undergraduate Texts in Mathematics
Series Volume:
no. 8370
Publication Date:
20020502
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
472
Dimensions:
235 x 178 mm 1000 gr

Other books you might like

  1. Asymptotic Formulae in Spectral... New Hardcover $185.50
  2. Shape and Shape Theory (Wiley-Praxis... New Hardcover $294.75
  3. An Introduction to Semiclassical and... New Hardcover $87.75
  4. Introduction to Geometry New Trade Paper $212.95
  5. The Mountain Pass Theorem: Variants,... New Hardcover $176.25
  6. Graduate Texts in Mathematics #196:... New Trade Paper $99.25

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Glimpses of Algebra & Geometry 2ND Edition Used Hardcover
0 stars - 0 reviews
$87.75 Backorder
Product details 472 pages Springer-Verlag - English 9780387953458 Reviews:
"Synopsis" by , Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http://mathsgi01.rutgers.edu/cgi-bin/wrap/gtoth/; Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems
"Synopsis" by , The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between number theory, classical geometry and modern algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further.
spacer
spacer
  • back to top
Follow us on...




Powell's City of Books is an independent bookstore in Portland, Oregon, that fills a whole city block with more than a million new, used, and out of print books. Shop those shelves — plus literally millions more books, DVDs, and gifts — here at Powells.com.