Finding the Right Book for Vectors at High School Level

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SUMMARY

The discussion centers on finding suitable books for high school students studying vectors. Participants recommend several resources, including "Elementary Linear Algebra" by Paul C. Shields (ISBN: 0879010258) and "Introduction to Matrix Algebra" by the School Mathematics Study Group. The conversation highlights the importance of understanding both geometric and algebraic representations of vectors, emphasizing the need for comprehensive materials that cover addition, multiplication, and orthogonal vectors. The recommendations cater to varying levels of understanding, from basic trigonometry to more advanced linear algebra concepts.

PREREQUISITES
  • Basic understanding of vectors and their representations
  • Familiarity with trigonometry and Pythagorean theorem
  • Knowledge of linear algebra concepts
  • Experience with geometric applications of vectors
NEXT STEPS
  • Research "Elementary Linear Algebra" by Paul C. Shields for foundational concepts
  • Explore "Introduction to Matrix Algebra" for a historical perspective on vector studies
  • Study geometric applications of vectors, focusing on triangle law
  • Investigate additional resources on orthogonal vectors and their applications
USEFUL FOR

High school students, educators, and anyone seeking to deepen their understanding of vectors and their applications in mathematics and physics.

sadhu
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hi,
I am at high school level, I just started with vectors,but topics given in my school books
didn't seem enough to me, they are just too brief and unorganized.

could anyone tell which book could best for me, to study vectors?
 
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Let me just ask you a few questions.

Are you at the level of drawing out the vectors, and using bith trig and pythagoras to find the resultant? Have you done any work on inclined plains?
 
yes I am just starting with addition ,multiplication , and using orthogonal vectors
 
Any conservative, old, trigonometry book should be helpful. What book are you currently using? I found a Trigonometry book by Larson & Hostetler of a few years old, seems to be good. Information about handling vectors is more difficult; so maybe you just need to concentrate on this more than other topics.
 
i like adams and shifrin. i also have a free linear algebra book on my website.

there was good beginning book by paul shields a long time ago, that started in 2 and 3 dimensions.

heres one for a dollar:

Elementary linear algebra (ISBN: 0879010258)
Paul C Shields
Bookseller: thriftbooks.com
(Auburn, WA, U.S.A.)
Bookseller Rating:
Price: US$ 1.00
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US$ 3.75
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Book Description: Worth Publishers. Book Condition: Good. Spend Less. Read More. Millions of satisfied customers and climbing. Thriftbooks is the name you can trust, guaranteed. Bookseller Inventory # G0879010258I3N00
 
and here is one written especially for high school students in the 1960's:

Introduction to Matrix Algebra
School Mathematics Study Group
Bookseller: Ship Today Books
(Charlotte, NC, U.S.A.)
Bookseller Rating:
Price: US$ 29.00
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Quantity: 1 Shipping within U.S.A.:
US$ 3.50
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Book Description: Yale Univ. Press 1961, 1961. Very good plus. Bookseller Inventory # 4021418

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The difficulty, sadhu, is that you didn't tell us what kind of vectors you are interested in.

I suspect that you are dealing with vectors as "arrows", perhaps representing motion, velocity, or acceleration. That's the kind of "vector" CrawfordK and symbolipoint are talking about (although your response "yes I am just starting with addition ,multiplication , and using orthogonal vectors" doesn't really help distinguish).

Mathwonk is talking about vectors in "Linear Algbra" a more abstract, mathematical treatment that is taught in some high schools.
 
I have started with spatial vectors , involving triangle law and more importantly their application in geometery
 

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