Essays in Constructive Mathematics - Image 1

£82.99

Springer Essays in Constructive Mathematics

Name: Essays in Constructive Mathematics
Brand: Springer
Price: 82.99 GBP
Availability: InStock

Algebra

This is the most expensive it has ever been. Walk away.

£83 today · previous high £83 · all-time low £80

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 51 days • 51 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 51 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £80 (49 days, 96.1%)

Price range: £80 - £83

Price levels: 2 different prices over 51 days

Description

This collection of essays aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it. All definitions and proofs are based on finite algorithms, which pave illuminating paths to nontrivial results, primarily in algebra, number theory, and the theory of algebraic curves. The second edition adds a new set of essays that reflect and expand upon the first. The topics covered derive from classic works of nineteenth-century mathematics, among them Galois’s theory of algebraic equations, Gauss’s theory of binary quadratic forms, and Abel’s theorems about integrals of rational differentials on algebraic curves. Other topics include Newton's diagram, the fundamental theorem of algebra, factorization of polynomials over constructive fields, and the spectral theorem for symmetric matrices, all treated using constructive methods in the spirit of Kronecker. In this second edition, the essays of the first edition are augmented with newessays that give deeper and more complete accounts of Galois’s theory, points on an algebraic curve, and Abel’s theorem. Readers will experience the full power of Galois’s approach to solvability by radicals, learn how to construct points on an algebraic curve using Newton’s diagram, and appreciate the amazing ideas introduced by Abel in his 1826 Paris memoir on transcendental functions. Mathematical maturity is required of the reader, and some prior knowledge of Galois theory is helpful. But experience with constructive mathematics is not necessary; readers should simply be willing to set aside abstract notions of infinity and explore deep mathematics via explicit constructions.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3030985571
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 30 September 2022
Listed Since: 11 February 2022

Barcode

No barcode data available

Springer Essays in Constructive Mathematics

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

A Classical Introduction to Galois Theory

Galois' Theory Of Algebraic Equations

Elementary Galois Theory: A Constructive Approach: 3 (Mathematics Study Resources, 3)

Galois Theory (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Abstract Algebra and Famous Impossibilities: Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations (Undergraduate Texts in Mathematics)

Abstract Algebra and Famous Impossibilities: Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations (Undergraduate Texts in Mathematics)

Abel’s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold (Kluwer International Series in Engineering & Computer Scienc)

Abel’s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold

Algebraic Groups and Differential Galois Theory (Graduate Studies in Mathematics): 122

An Invitation to Abstract Algebra (Textbooks in Mathematics)

The Brauer–Grothendieck Group: 71 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 71)

Introduction to Quadratic Forms Over Fields (Graduate Studies in Mathematics)

Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms (Springer Monographs in Mathematics)

Capacity Theory with Local Rationality: The Strong Fekete-Szego Theorem on Curves (Mathematical Surveys and Monographs)

Number Theory and Geometry: An Introduction to Arithmetic Geometry (Pure and Applied Undergraduate Texts)

Galois Groups and Fundamental Groups: 117 (Cambridge Studies in Advanced Mathematics)

Lectures in Abstract Algebra: III. Theory of Fields and Galois Theory: 32 (Graduate Texts in Mathematics, 32)

Differential Galois Theory Through Riemann-Hilbert Correspondence: An Elementary Introduction (Graduate Studies in Mathematics)

Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-176) (Annals of Mathematics Studies)

Arithmetic Algebraic Geometry: 89 (Progress in Mathematics, 89)

Galois Groups and Fundamental Groups: 41 (Mathematical Sciences Research Institute Publications, Series Number 41)

Modular Forms and Special Cycles on Shimura Curves. (AM-161) (Annals of Mathematics Studies)

Inverse Galois Theory (Springer Monographs in Mathematics)

Elliptic Curves: Function Theory, Geometry, Arithmetic