Do I Need All Three Math Textbooks by Ron Larson?

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SUMMARY

The discussion centers on the necessity of purchasing three math textbooks by Ron Larson: "Algebra and Trigonometry," "Precalculus," and "Calculus." Participants unanimously recommend acquiring both the "Calculus" and "Precalculus" books, emphasizing that precalculus concepts are foundational for understanding calculus. They highlight the importance of algebraic manipulation techniques learned in precalculus, which are frequently applied in advanced calculus courses. Additionally, buying used editions of these textbooks is advised to save costs without sacrificing content quality.

PREREQUISITES
  • Understanding of basic algebra and trigonometry concepts.
  • Familiarity with calculus fundamentals.
  • Knowledge of textbook editions and their relevance in academic settings.
  • Awareness of effective study techniques for mathematical texts.
NEXT STEPS
  • Research the differences between various editions of Ron Larson's math textbooks.
  • Explore effective study techniques for mathematics, such as annotation methods.
  • Investigate alternative precalculus textbooks that may offer clearer explanations.
  • Learn about the role of algebraic manipulation in calculus applications.
USEFUL FOR

Students preparing for calculus, educators seeking effective teaching resources, and anyone interested in optimizing their understanding of mathematics through structured textbooks.

Which of the two book(s) should I purchase?

  • Algebra & Trigonometry

  • Precalculus

  • Neither

  • Both


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Maddie1609
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https://www.amazon.com/dp/1133949010/?tag=pfamazon01-20

https://www.amazon.com/dp/1285057090/?tag=pfamazon01-20

https://www.amazon.com/dp/1133959741/?tag=pfamazon01-20

So I'm planning on buying the books in the links above (Algebra and trig, precalc and calc by Ron Larson), but as they are quite expensive I was wondering if I would be missing out by not purchasing one of them instead of all three?

I've heard it's a good idea to skip precalculus and go straight to calculus for example. I've also had a great deal of algebra and trigonometry and know most of what's in the table of contents, but I was thinking maybe it has a better way of explaining concepts and includes proofs? I'm certain I'm going to buy calculus, but uncertain of the two others (maybe just one of them or neither). I also see there is some overlap in the content of algebra & trig and precalculus. Has anyone used any of these books and can offer some insight?

Excuse my messy and badly formulated inquery, hope you understand what I'm trying to convey :-)
 
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Of course Calculus is far more fun but take a look at the precalc stuff again. These concepts popup time and again and are really useful in the long run.
They lay the ground work for limits the basis for Calculus and prepare you for Advanced Calculus later on.
 
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People would always sit in my Pre-Calculus class and constantly complain "When will I ever use this". They maintained these feelings throughout first semester Calculus as well, however beyond calculus 1, I've noticed that a lot of manipulation techniques learned in precalculus begin to resurface. For example, partial fraction decomposition and completing the square come up regularly. Long story short, a strong understanding of the basic techniques used in calculus that you learn all the way back in Pre-calc classes do become important down the line, and it will make learning the concepts much easier if you are familiar with these methods of algebraic manipulation. If I were you, I would buy the Calculus book and the Precalculus book, the latter will most likely review the important trigonometry that you will need for calculus, e.g. trig identities and such.
 
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occh said:
People would always sit in my Pre-Calculus class and constantly complain "When will I ever use this". They maintained these feelings throughout first semester Calculus as well, however beyond calculus 1, I've noticed that a lot of manipulation techniques learned in precalculus begin to resurface. For example, partial fraction decomposition and completing the square come up regularly. Long story short, a strong understanding of the basic techniques used in calculus that you learn all the way back in Pre-calc classes do become important down the line, and it will make learning the concepts much easier if you are familiar with these methods of algebraic manipulation. If I were you, I would buy the Calculus book and the Precalculus book, the latter will most likely review the important trigonometry that you will need for calculus, e.g. trig identities and such.
Thank you! I'll purchase it right away :-)
 
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jasonRF said:
I know nothing about these books, but If you do buy them I strongly recommend buying used copies of old editions. They will be MUCH cheaper and are usually not very different than the current version. For example:
https://www.amazon.com/gp/product/0618643443/?tag=pfamazon01-20

so nothing changes in newer editions? It's just a ploy to make more money from basically the same book?
 
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Some profs derive extra income from their published books and so they will update them annually with small errata and better descriptions. Students are always asked to buy the most recent version. For introductory books, this can be quite a large income but for higher level books not so much.

For me, I always considered the importance of the book and whether I'd want to keep it for the future. After being out of school for quite a few decades now, I still have a couple of math books on Advanced Calc, Differential Geometry... and my physics books on QM (Rojansky), CM (Goldstein / Marion / Landau), and GR(Wheeler) for other courses that I still wanted to study, I have the Schaum's Outline equivalent.

One prof suggested that we nt use highlighter in our books as that detracts from reading it again. Its true, every time I see the highlighter on the first couple of chapter I grimace and wish I had followed that advice. Instead underlining with a pencil or annotations in the margins were a better solution. Now I tend to use graph paper sticky notes or bookmark notes.
 
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The proofs in Larson's 8th Edition Calculus flat out suck. They are either missing steps or seem vaguely circular.
 
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David Carroll said:
The proofs in Larson's 8th Edition Calculus flat out suck. They are either missing steps or seem vaguely circular.
Really? I have already purchased Calculus by Ron Larson:-( I'm not sure which edition it is, but I believe it's the 9th. Do you have any recommendations for an Precalculus textbook? :-)
 
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Well, I was being a little hyperbolic (no pun intended), Maddie1609. I think it's simply because I'm too retarded to see the logic in a proof when it's already there. But actually, you can't go wrong getting any of Larson's Calculus editions. I would go straight to the Calculus, rather than bothering with Precalc or trigonometry, since the Calculus (other than already having a Pre-Calculus section at the beginning of the book) book will review any trigonometric or algebraic concepts you might have forgotten about before it delves into the Calculus applications of those concepts.
 
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  • #12
I ended up ordering precalculus and calculus by Ron Larson, both newer editions. I also bought a physics book by Halliday(?) and Resnick :) Thanks for all the feedback!
 
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