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Numbers and Geometry by John Stillwell: Used
US $21.73
Approximately£16.29
Condition:
Good
A book that has been read, but is in good condition. Minimal damage to the book cover eg. scuff marks, but no holes or tears. If this is a hard cover, the dust jacket may be missing. Binding has minimal wear. The majority of pages are undamaged with some creasing or tearing, and pencil underlining of text, but this is minimal. No highlighting of text, no writing in the margins, and no missing pages. See the seller’s listing for full details and description of any imperfections.
- Buy it nowNumbers and Geometry by John Stillwell: Used
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Located in: Sparks, Nevada, United States
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eBay item number:403938081844
Item specifics
- Condition
- Book Title
- Numbers and Geometry
- Publication Date
- 1997-10-30
- Pages
- 343
- ISBN
- 9780387982892
About this product
Product Identifiers
Publisher
Springer New York
ISBN-10
0387982892
ISBN-13
9780387982892
eBay Product ID (ePID)
730528
Product Key Features
Number of Pages
Xiv, 343 Pages
Publication Name
Numbers and Geometry
Language
English
Publication Year
1997
Subject
Geometry / General, General, Number Theory
Type
Textbook
Subject Area
Mathematics
Series
Undergraduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.3 in
Item Weight
53.6 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
97-022858
Dewey Edition
21
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
510
Table Of Content
1 Arithmetic.- 1.1 The Natural Numbers.- 1.2 Division, Divisors, and Primes.- 1.3 The Mysterious Sequence of Primes.- 1.4 Integers and Rationals.- 1.5 Linear Equations.- 1.6 Unique Prime Factorization.- 1.7 Prime Factorization and Divisors.- 1.8 Induction.- 1.9* Foundations.- 1.10 Discussion.- 2 Geometry.- 2.1 Geometric Intuition.- 2.2 Constructions.- 2.3 Parallels and Angles.- 2.4 Angles and Circles.- 2.5 Length and Area.- 2.6 The Pythagorean Theorem.- 2.7 Volume.- 2.8* The Whole and the Part.- 2.9 Discussion.- 3 Coordinates.- 3.1 Lines and Circles.- 3.2 Intersections.- 3.3 The Real Numbers.- 3.4 The Line.- 3.5 The Euclidean Plane.- 3.6 Isometries of the Euclidean Plane.- 3.7 The Triangle Inequality.- 3.8* Klein's Definition of Geometry.- 3.9* The Non-Euclidean Plane.- 3.10 Discussion.- 4 Rational Points.- 4.1 Pythagorean Triples.- 4.2 Pythagorean Triples in Euclid.- 4.3 Pythagorean Triples in Diophantus.- 4.4 Rational Triangles.- 4.5 Rational Points on Quadratic Curves.- 4.6* Rational Points on the Sphere.- 4.7* The Area of Rational Right Triangles.- 4.8 Discussion.- 5 Trigonometry.- 5.1 Angle Measure.- 5.2 Circular Functions.- 5.3 Addition Formulas.- 5.4 A Rational Addition Formula.- 5.5* Hubert's Third Problem.- 5.6* The Dehn Invariant.- 5.7* Additive Functions.- 5.8* The Tetrahedron and the Cube.- 5.9 Discussion.- 6 Finite Arithmetic.- 6.1 Three Examples.- 6.2 Arithmetic mod n.- 6.3 The Ring ?/n?.- 6.4 Inverses mod n.- 6.5 The Theorems of Fermat and Wilson.- 6.6 The Chinese Remainder Theorem.- 6.7 Squares mod p.- 6.8* The Quadratic Character of-1 and.- 6.9* Quadratic Reciprocity.- 6.10 Discussion.- 7 Complex Numbers.- 7.1 Addition, Multiplication, and Absolute Value.- 7.2 Argument and the Square Root of -1.- 7.3 Isometries of the Plane.- 7.4 The GaussianIntegers.- 7.5 Unique Gaussian Prime Factorization.- 7.6 Fermat's TWo Squares Theorem.- 7.7* Factorizing a Sum of Two Squares.- 7.8 Discussion.- 8 Conic Sections.- 8.1 Too Much, Too Little, and Just Right.- 8.2 Properties of Conic Sections.- 8.3 Quadratic Curves.- 8.4* Intersections.- 8.5 Integer Points on Conics.- 8.6* Square Roots and the Euclidean Algorithm.- 8.7* Pell's Equation.- 8.8 Discussion.- 9 Elementary Functions.- 9.1 Algebraic and Transcendental Functions.- 9.2 The Area Bounded by a Curve.- 9.3 The Natural Logarithm and the Exponential.- 9.4 The Exponential Function.- 9.5 The Hyperbolic Functions.- 9.6 The Pell Equation Revisited.- 9.7 Discussion.
Synopsis
Numbers and Geometry is a beautiful and relatively an elementary account of the part of mathematics where algebra, analysis and geometry meet. Stillwell has chosen an array of exciting and worthwhile topics, and elegantly combines mathematics with mathematical history. This book covers the main ideas of Euclid, but with 2000 years of extra insights attached. It can be read by any well prepared student entering college., NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. The key is algebra, which brings arithmetic and geometry together, and allows them to flourish and branch out in new directions. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He believes that most of mathematics is about numbers, curves and functions, and the links between these concepts can be suggested by a thorough study of simple examples, such as the circle and the square. This book covers the main ideas of Euclid--geometry, arithmetic and the theory of real numbers, but with 2000 years of extra insights attached. NUMBERS AND GEOMETRY presupposes only high school algebra and therefore can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics because it is such an attractive and unusual treatment of fundamental topics. Also, it will serve admirably in courses aimed at giving students from other areas a view of some of the basic ideas in mathematics. There is a set of well-written exercises at the end of each section, so new ideas can be instantly tested and reinforced., NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields-algebra, analysis and geometry-meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre- calculus) book. It can be read by any well prepared student entering university and will appeal to graduate students and researchers in mathematics.
LC Classification Number
QA241-247.5
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- a***e- Feedback left by buyer.Past monthVerified purchaseProfessional Seller; Wide Inventory Selection; Competitive Prices; Great Communication; FAST Ship; Item Safely & Well-Packaged; Item Accurately Described in Listing; Item of High Quality and in Mint Condition; Appearance of Item is Great! Highly Recommended; Hope to Do Business with Again! Thank You Very Much!
- m***u (847)- Feedback left by buyer.Past monthVerified purchaseAbsolutely delightful seller! As pictured and described, fast shipping, and great communication! Excellent packaging and a phenomenal value! This seller is an extremely valuable asset to the eBay community! A++++! ✨🥇✨
- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)
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Seller Feedback (501,399)
- a***e- Feedback left by buyer.Past monthVerified purchaseProfessional Seller; Wide Inventory Selection; Competitive Prices; Great Communication; FAST Ship; Item Safely & Well-Packaged; Item Accurately Described in Listing; Item of High Quality and in Mint Condition; Appearance of Item is Great! Highly Recommended; Hope to Do Business with Again! Thank You Very Much!
- m***u (847)- Feedback left by buyer.Past monthVerified purchaseAbsolutely delightful seller! As pictured and described, fast shipping, and great communication! Excellent packaging and a phenomenal value! This seller is an extremely valuable asset to the eBay community! A++++! ✨🥇✨
- a***a (346)- Feedback left by buyer.Past 6 monthsVerified purchaseThis hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.Tameshigiri - The History and Development of Japanese Sword Testing by Sesko (#282906424466)