Warriors B2G1 Free
 
 

Special Offers see all

Enter to WIN a $100 Credit

Subscribe to PowellsBooks.news
for a chance to win.
Privacy Policy

Visit our stores


    Recently Viewed clear list


    Q&A | May 12, 2015

    Aleksandar Hemon: IMG Powell’s Q&A: Aleksandar Hemon



    Describe your latest book. The Making of Zombie Wars is a roller-coaster ride of violence and sex. The main character, Joshua Levin, is a modestly... Continue »
    1. $18.20 Sale Hardcover add to wish list

      The Making of Zombie Wars

      Aleksandar Hemon 9780374203412

    spacer
Qualifying orders ship free.
$87.75
New Trade Paper
Ships in 1 to 3 days
Add to Wishlist
available for shipping or prepaid pickup only
Available for In-store Pickup
in 7 to 12 days
Qty Store Section
25 Remote Warehouse Mathematics- Analysis General

Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics)

by

Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics) 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:
9781441929624
Author:
Toth, Gabor
Publisher:
Springer
Location:
New York, NY
Subject:
Mathematical Analysis
Subject:
Analysis
Subject:
Number Theory
Subject:
Geometry
Subject:
Mathematics-Analysis General
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis (Mathematics)
Copyright:
Edition Description:
2nded. 2002
Series:
Undergraduate Texts in Mathematics
Publication Date:
20110701
Binding:
TRADE PAPER
Language:
English
Pages:
472
Dimensions:
235 x 178 mm

Related Subjects


Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Number Theory

Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics) New Trade Paper
0 stars - 0 reviews
$87.75 In Stock
Product details 472 pages Springer - English 9781441929624 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.