Geometry Is Geometry by Lang and Murrow Enough for a High School Course?

  • Thread starter Thread starter micromass
  • Start date Start date
  • Tags Tags
    Geometry Lang
AI Thread Summary
The discussion centers on the geometry textbook by Serge Lang and Gene Murrow, which is designed for high school students and requires a background in high school algebra. The book covers essential topics such as distance and angles, coordinate systems, the Pythagorean theorem, polygons, congruent triangles, dilations, volumes, vectors, transformations, and isometries. Key concepts include the properties of triangles, the area and volume calculations, and the application of transformations in geometry. There is a query regarding whether this book sufficiently covers a high school geometry curriculum, with confidence expressed in its quality based on previous works by Lang. Overall, the text is positioned as a comprehensive resource for high school geometry education.

For those who have used this book

  • Strongly Recommend

    Votes: 0 0.0%
  • Lightly Recommend

    Votes: 0 0.0%
  • Lightly don't Recommend

    Votes: 0 0.0%

  • Total voters
    1
micromass
Staff Emeritus
Science Advisor
Homework Helper
Insights Author
Messages
22,169
Reaction score
3,327

Table of Contents:
Code:
[LIST]
[*] Introduction
[*] Distance and Angles
[LIST]
[*] Lines
[*] Distance
[*] Angles
[*] Proofs
[*] Right Angles and Perpendicularity
[*] The Angles of a Triangle
[*] An Application: Angles of Reflection
[/LIST]
[*] Coordinates
[LIST]
[*] Coordinate Systems
[*] Distance Between Points on a Line
[*] Equation of a Line
[/LIST]
[*] Area and the Pythagoras Theorem
[LIST]
[*] The Area of a Triangle
[*] The Pythagoras Theorem
[/LIST]
[*] The Distance Formula
[LIST]
[*] Distance Between Arbitrary Points
[*] Higher Dimensional Space
[*] Equation of a Circle
[/LIST]
[*] Some Applications of Right Triangles
[LIST]
[*] Perpendicular Bisector
[*] Isosceles and Equilateral Triangles
[*] Theorems About Circles
[/LIST]
[*] Polygons
[LIST]
[*] Basic Ideas
[*] Convexity and Angles
[*] Regular Polygons
[/LIST]
[*] Congruent Triangles
[LIST]
[*] Euclid's Tests for Congruence
[*] Some Applications of Congruent Triangles
[*] Special Triangles
[/LIST]
[*] Dilations and Similarities
[LIST]
[*] Definition
[*] Change of Area Under Dilation
[*] Change of Length Under Dilation 
[*] The Circumference of a Circle
[*] Similar Triangles
[/LIST]
[*] Volumes
[LIST]
[*] Boxes and Cylinders
[*] Change of Volume Under Dilations 
[*] Cones and Pyramids
[*] The Volume of the Ball
[*] The Area of the Sphere
[/LIST]
[*] Vectors and Dot Product
[LIST]
[*] Vector Addition
[*] The Scalar Product
[*] Perpendicularity
[*] Projections
[*] Ordinary Equation for a Line
[*] The 3- Dimensional Case
[*] Equation for a Plane in 3-Space
[/LIST]
[*] Transformations 
[LIST]
[*] Introduction 
[*] Symmetry and Reflections 
[*] Terminology
[*] Reflection Through a Line
[*] Reflection Through a Point 
[*] Rotations
[*] Translations
[*] Translations and Coordinates
[/LIST]
[*] Isometries
[LIST]
[*] Definitions and Basic Properties
[*] Relations with Coordinates
[*] Composition of Isometries
[*] Definition of Congruence
[*] Proofs of Euclid's Tests for Congruent Triangles 
[*] Isometries as Compositions of Reflections
[/LIST]
[*] Index 
[/LIST]
 
Last edited by a moderator:
Physics news on Phys.org
Is this book enough to cover a high school geometry course? Despite the name, I think I should confirm if this would count as enough. However, as with other Lang's book, I'm pretty sure this would be a good one.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

Similar threads

Replies
7
Views
5K
Replies
4
Views
22K
  • Poll Poll
Replies
1
Views
4K
Replies
5
Views
7K
Replies
2
Views
4K
  • Poll Poll
Replies
1
Views
4K
Replies
1
Views
2K
  • Poll Poll
Replies
16
Views
13K
Replies
1
Views
4K
Back
Top