Mathematics and Its History

ISBN-10: 144196052X
ISBN-13: 9781441960528
Edition: 3rd 2010
Authors: John Stillwell
List price: $69.95 Buy it from $24.02
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Used Starting from $44.22
New Starting from $68.35
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Periodic Table Online content $4.95 $1.99
Add to cart
Study Briefs
Calculus 1 Online content $4.95 $1.99
Add to cart
Study Briefs
SQL Online content $4.95 $1.99
Add to cart
Study Briefs
MS Excel® 2010 Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $69.95
Edition: 3rd
Copyright year: 2010
Publisher: Springer
Publication date: 8/2/2010
Binding: Hardcover
Pages: 662
Size: 6.25" wide x 9.25" long x 1.50" tall
Weight: 2.838
Language: English

Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
The Theorem of Pythagoras
Arithmetic and Geometry
Pythagorean Triples
Rational Points on the Circle
Right-Angled Triangles
Irrational Numbers
The Definition of Distance
Biographical Notes: Pythagoras
Greek Geometry
The Deductive Method
The Regular Polyhedra
Ruler and Compass Constructions
Conic Sections
Higher-Degree Curves
Biographical Notes: Euclid
Greek Number Theory
The Role of Number Theory
Polygonal, Prime, and Perfect Numbers
The Euclidean Algorithm
Pell's Equation
The Chord and Tangent Methods
Biographical Notes: Diophantus
Infinity in Greek Mathematics
Fear of Infinity
Eudoxus's Theory of Proportions
The Method of Exhaustion
The Area of a Parabolic Segment
Biographical Notes: Archimedes
Number Theory in Asia
The Euclidean Algorithm
The Chinese Remainder Theorem
Linear Diophantine Equations
Pell's Equation in Brahmagupta
Pell's Equation in Bh�skara II
Rational Triangles
Biographical Notes: Brahmagupta and Bh�skara
Polynomial Equations
Algebra
Linear Equations and Elimination
Quadratic Equations
Quadratic Irrationals
The Solution of the Cubic
Angle Division
Higher-Degree Equations
Biographical Notes: Tartaglia, Cardano, and Vi�te
Analytic Geometry
Steps Toward Analytic Geometry
Fermat and Descartes
Algebraic Curves
Newton's Classification of Cubics
Construction of Equations, B�zout's Theorem
The Arithmetization of Geometry
Biographical Notes: Descartes
Projective Geometry
Perspective
Anamorphosis
Desargues's Projective Geometry
The Projective View of Curves
The Projective Plane
The Projective Line
Homogeneous Coordinates
Pascal's Theorem
Biographical Notes: Desargues and Pascal
Calculus
What Is Calculus?
Early Results on Areas and Volumes
Maxima, Minima, and Tangents
The Arithmetica Infinitorum of Wallis
Newton's Calculus of Series
The Calculus of Leibniz
Biographical Notes: Wallis, Newton, and Leibniz
Infinite Series
Early Results
Power Series
An Interpolation on Interpolation
Summation of Series
Fractional Power Series
Generating Functions
The Zeta Function
Biographical Notes: Gregory and Euler
The Number Theory Revival
Between Diophantus and Fermat
Fermat's Little Theorem
Fermat's Last Theorem
Rational Right-Angled Triangles
Rational Points on Cubics of Genus 0
Rational Points on Cubics of Genus 1
Biographical Notes: Fermat
Elliptic Functions
Elliptic and Circular Functions
Parameterization of Cubic Curves
Elliptic Integrals
Doubling the Arc of the Lemniscate
General Addition Theorems
Elliptic Functions
A Postscript on the Lemniscate
Biographical Notes: Abel and Jacobi
Mechanics
Mechanics Before Calculus
The Fundamental Theorem of Motion
Kepler's Laws and the Inverse Square Law
Celestial Mechanics
Mechanical Curves
The Vibrating String
Hydrodynamics
Biographical Notes: The Bernoullis
Complex Numbers in Algebra
Impossible Numbers
Quadratic Equations
Cubic Equations
Wallis's Attempt at Geometric Representation
Angle Division
The Fundamental Theorem of Algebra
The Proofs of d' Alembert and Gauss
Biographical Notes: d' Alembert
Complex Numbers and Curves
Roots and Intersections
The Complex Projective Line
Branch Points
Topology of Complex Projective Curves
Biographical Notes: Riemann
Complex Numbers and Functions
Complex Functions
Conformal Mapping
Cauchy's Theorem
Double Periodicity of Elliptic Functions
Elliptic Curves
Uniformization
Biographical Notes: Lagrange and Cauchy
Differential Geometry
Transcendental Curves
Curvature of Plane Curves
Curvature of Surfaces
Surfaces of Constant Curvature
Geodesies
The Gauss-Bonnet Theorem
Biographical Notes: Harriot and Gauss
Non-Euclidean Geometry
The Parallel Axiom
Spherical Geometry
Geometry of Bolyai and Lobachevsky
Beltrami's Projective Model
Beltrami's Conformal Models
The Complex Interpretations
Biographical Notes: Bolyai and Lobachevsky
Group Theory
The Group Concept
Subgroups and Quotients
Permutations and Theory of Equations
Permutation Groups
Polyhedral Groups
Groups and Geometries
Combinatorial Group Theory
Finite Simple Groups
Biographical Notes: Galois
Hypercomplex Numbers
Complex Numbers in Hindsight
The Arithmetic of Pairs
Properties of + and x
Arithmetic of Triples and Quadruples
Quaternions, Geometry, and Physics
Octonions
Why C, H, and O Are Special
Biographical Notes: Hamilton
Algebraic Number Theory
Algebraic Numbers
Gaussian Integers
Algebraic Integers
Ideals
Ideal Factorization
Sums of Squares Revisited
Rings and Fields
Biographical Notes: Dedekind, Hilbert, and Noether
Topology
Geometry and Topology
Polyhedron Formulas of Descartes and Euler
The Classification of Surfaces
Descartes and Gauss-Bonnet
Euler Characteristic and Curvature
Surfaces and Planes
The Fundamental Group
The Poincar� Conjecture
Biographical Notes: Poincar�
Simple Groups
Finite Simple Groups and Finite Fields
The Mathieu Groups
Continuous Groups
Simplicity of SO(3)
Simple Lie Groups and Lie Algebras
Finite Simple Groups Revisited
The Monster
Biographical Notes: Lie, Killing, and Cartan
Sets, Logic, and Computation
Sets
Ordinals
Measure
Axiom of Choice and Large Cardinals
The Diagonal Argument
Computability
Logic and G�del's Theorem
Provability and Truth
Biographical Notes: G�del
Combinatorics
What Is Combinatorics?
The Pigeonhole Principle
Analysis and Combinatorics
Graph Theory
Nonplanar Graphs
The Konig Infinity Lemma
Ramsey Theory
Hard Theorems of Combinatorics
Biographical Notes: Erdos
Bibliography
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×