Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

The Four Pillars of Geometry

The Four Pillars of Geometry

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9780387290522
Condition
New
Product Description

Many people think there is only one right way to teach geometry. For two millennia, the right way was Euclids way, and it is still good in many respects. But in the 1950s the cry Down with triangles! was heard in France and new geometry books appeared, packed with linear algebra but with no diagrams. Was this the new right way, or was the right way something else again, perhaps transformation groups? In this book, I wish to show that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry? It not only explains why objects look the way they do; it also explains why geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. Two chapters are devoted to each approach: The ?rst is concrete and introductory, whereas the second is more abstract. Thus, the ?rst chapter on Euclid is about straightedge and compass constructions; the second is about axioms and theorems. The ?rst chapter on linear algebra is about coordinates; the second is about vector spaces and the inner product.

Available Colors
Available Sizes
1 Offer Price Range: $39.99 - $39.99
BEST PRICE

Single Product Purchase

$39.99
@ Link.springer.com     BUY Now

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$39.99 $39.99

$39.99
See Site In stock Visit Store

Similar Products

Evolution Equations, Semigroups and Functional Analysis

$39.99

Jan Patoka and the Phenomenology of Life After Death

$129.99

Internationale Politik und Governance in der Arktis: Eine Einfhrung

$24.99

Flexible Scripting to Facilitate Knowledge Construction in Computer-supported Collaborative Learning

$54.99

Computers in Building

$169.99

The Precision Farming Revolution

$79.99

Sacred Woman- A Guide to Healing the Feminine Body, Mind, and Spirit by Queen Afua

$20.00

Discourse, Structure and Linguistic Choice

$79.99

Erkundung von Verkehrswegen in Neulndern

$59.99

Principles and Modeling of the Power Transformers

$99.00

Chronic Myeloid Leukemia

$109.99

Ready-To-Go 2 25 Book Classroom Library: Nonfiction, Grade 3

$125.00

ICT for Intelligent Systems

$189.00

Economic Development in a Globalized Environment

$109.99

Therapeutic Kinase Inhibitors

$169.99

Principles of Applied Remote Sensing

$129.99

Injective Choice Functions

$29.99

Engineering Secure Software and Systems

$59.99

Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

$54.99

Cerebrospinal Fluid Analysis in Multiple Sclerosis

$54.99

Junie B, First Grader: Shipwrecked

$3.74

Primary Central Nervous System Tumors

$169.00

Computeruntersttzte Teamarbeit

$49.99

Human Interaction and Emerging Technologies

$119.00

Art Maker - Colormorphic Future Dreams Coloring Books

$13.99

The Alien Next Door: The New Kid

$4.46

Politics of Stigmatization

$139.99

National Geographic Kids Readers: Bats

$4.46

Automated Hierarchical Synthesis of Radio-Frequency Integrated Circuits and Systems

$39.99

Suppressing the Mind

$169.00

Nutrition and Metabolism

$169.99

Mathematical Optimization of Water Networks

$54.99

Reimagining Engineering Education

$129.99

Rntgendiagnostik des Pankreas und der Milz / Roentgen Diagnosis of the Pancreas and Spleen

$44.99

Der Holzmodellbau

$69.95

Intelligent Robotics and Applications

$54.99

Conjugate Gradient Algorithms and Finite Element Methods

$84.99

Schulabsentismus vor dem Hintergrund regionaler Disparitten

$79.99

Border Management in Transformation

$89.00

Recent Advances in Intelligent Engineering Systems

$169.99