In 1968 calculators, which only performed the 4 basic functions, where large machines that sat on your desktop (that would be the top of your desk where your books and papers would rest). We all carried around our CRC Handbook to look up function values. Handheld calculators arrived in the 69-70 time frame if memory serves. True story, another EE major and I both enrolled in a Matrix Math class thinking it would help us solving systems of equations. The prof taught the class as pure math and the first test was all proofs. We asked him about actually doing some matrix multiplications which he added on the second test. Oh how the rest of the class (probably 15 or so math majors) howled after the test but he said they should be able to actually use what they were learning in the class.
Texas Instruments invented the hand-held calculator in 1967. It would take another decade or so for "pocket calculators" to become inexpensive enough for students to purchase. Hewlett-Packard launched their model in 1972. It came with "scientific functions" aka exponents, roots, logarithms, and trigonometry functions. It also used reverse Polish notation (RPN), aka postfix notation, and retailed for nearly $400. That would be around $3,000 today. Texas Instruments introduced the first line of mass-marketed pocket calculators, the TI-30, in 1977. The line continues to the present.
In the early 70s, a friend of mine saved up his pennies, and bought a 10-step PROGRAMMABLE calculator. It came with a foam-lined, fiberglass case, and cost $800.
First decent calculators such as the HP-35 or HP-45 (that I used in college) didn't come out until around 1974 and as you say were quite expensive. I used a circular slide rule in high school chemistry and physics in the early 70s, lol. Your comments about the style of early math books make sense. For instance, in my 4th edition Thomas' Calculus and Analytic Geometry which seemed a bit rigorous and formal to me at the time when I used it and it did not even teach common method taught now to find extrema of multivariable functions f(x,y) with second derivative test and critical points. Maybe they thought Lagrange multipliers were more important and had more practical applications. This book that you reviewed seems to have been a better bridge from computational algebra to a proof-based algebra course.
I love your videos! I'm from South Africa and I'm currently in the tenth grade. Your videos have inspired me to study pure Mathematics after high school and I'm excited! I can't wait. When you get the time, and if you may, please help me out (explaining thoroughly) on this problem: Positive integers a, b, and c are all powers of k for some positive integer k. It is known that the equation ax^2 − bx + c = 0 has exactly one real solution r, and this value r is less than 100. Compute the maximum possible value of r.
I resonated with that matrices comment. They make no intuitive sense at all! I still go back at them because i stumble upon them in Cl.Mechanics or Q.Mechanics and time and time again i find myself struggling over them. They haven't clicked, i don't know why.
Comment on newer being easier than older books. I had a Algebra & Trigonometry from the 50's and I honestly couldn't understand it. I didn't think it showed instructions well, but it might have been because I just wasn't prepared for the content. I remember in junior high our math teacher let us have some old prealgebra books published in the 70's or early 80's. It was old textbooks they were going to throw away and not the book we used that year. We were not even on prealgebra that year. Anyway, I went through the old prealgebra book the teacher gave us later on and found it a lot more easier than the new prealgebra book we had. The older prealgebra book got through to me in a way the newer math book did not.
I ordered both Algebra: Method & Structure book 1 and Algebra & Trigonometry method & Structure book 2 by Mary Dolciani. My copies that are coming are from the 70's. I found some newer editions from the 90's or early 2000's.
There is also introductory analysis, that’s like precalculus. It has trig and vectors. The geometry book is good too. You can learn proof techniques from them also so it’s good preparation for college math. I bought the solutions for algebra 2 because I thought it’s easier to learn how to do proofs from easy algebra 2 material rather than learning new material and proofs at the same time like in college books.
I still have mine from Algebra II, although my high school called the class Math Analysis, iirc. That was 1983. Houghton Mifflin 1971, 1968. Dociani, Wooton, Beckenbach, Sharron. 15 Chapters. The prose is easy to read. It covers many topics with answers to odd exercises.
True. Amazon has a listing for it, but it's "currently unavailable." As for Ebay, nothing. There ARE listings for linear algebra books by those authors, that might be worth investigating.
That sounds more like a slightly more advanced pre-calculus math book than an (abstract) algebra book. The definition of a vector as an ordered list is one example. Interesting, nevertheless.
I think one of the best is "General Chemistry," by Linus Pauling....yes, THAT Linus Pauling. While it's "general chemistry," he delves into more advanced topics, but at an easy to understand level. I found it very helpful, as a supplement to my regular text (Atkins), when I took physical chemistry. Furthermore, it's published by Dover, and their books are always reasonably priced. Another good one is "Mellor's Modern Inorganic Chemistry," by Mellor and/or Parkes (depending on edition). I had the 1967 edition, P. by Longman's. It first came out in the nineteen-teens.
In 1968 calculators, which only performed the 4 basic functions, where large machines that sat on your desktop (that would be the top of your desk where your books and papers would rest). We all carried around our CRC Handbook to look up function values. Handheld calculators arrived in the 69-70 time frame if memory serves.
True story, another EE major and I both enrolled in a Matrix Math class thinking it would help us solving systems of equations. The prof taught the class as pure math and the first test was all proofs. We asked him about actually doing some matrix multiplications which he added on the second test. Oh how the rest of the class (probably 15 or so math majors) howled after the test but he said they should be able to actually use what they were learning in the class.
We appreciate you sharing useful textbooks like this. Not many fully understand Algebra, and I believe this can really help out some people.
Texas Instruments invented the hand-held calculator in 1967. It would take another decade or so for "pocket calculators" to become inexpensive enough for students to purchase. Hewlett-Packard launched their model in 1972. It came with "scientific functions" aka exponents, roots, logarithms, and trigonometry functions. It also used reverse Polish notation (RPN), aka postfix notation, and retailed for nearly $400. That would be around $3,000 today. Texas Instruments introduced the first line of mass-marketed pocket calculators, the TI-30, in 1977. The line continues to the present.
In the early 70s, a friend of mine saved up his pennies, and bought a 10-step PROGRAMMABLE calculator. It came with a foam-lined, fiberglass case, and cost $800.
First decent calculators such as the HP-35 or HP-45 (that I used in college) didn't come out until around 1974 and as you say were quite expensive. I used a circular slide rule in high school chemistry and physics in the early 70s, lol. Your comments about the style of early math books make sense. For instance, in my 4th edition Thomas' Calculus and Analytic Geometry which seemed a bit rigorous and formal to me at the time when I used it and it did not even teach common method taught now to find extrema of multivariable functions f(x,y) with second derivative test and critical points. Maybe they thought Lagrange multipliers were more important and had more practical applications. This book that you reviewed seems to have been a better bridge from computational algebra to a proof-based algebra course.
I love your videos! I'm from South Africa and I'm currently in the tenth grade. Your videos have inspired me to study pure Mathematics after high school and I'm excited! I can't wait. When you get the time, and if you may, please help me out (explaining thoroughly) on this problem:
Positive integers a, b, and c are all powers of k for some positive integer k. It is known that the equation ax^2 − bx + c = 0 has exactly one real solution r, and this value r is less than 100. Compute the maximum possible value of r.
I resonated with that matrices comment. They make no intuitive sense at all! I still go back at them because i stumble upon them in Cl.Mechanics or Q.Mechanics and time and time again i find myself struggling over them. They haven't clicked, i don't know why.
really cool!!!
You should also review linear algebra by caron and Salzmann, would be great ^^
If you want some more hardcore algebra texts, look at Higher Algebra by Hall and Knight and Algebra parts I and II by Chrystal
First view from KSA ,,
Best regards prof.
Comment on newer being easier than older books. I had a Algebra & Trigonometry from the 50's and I honestly couldn't understand it. I didn't think it showed instructions well, but it might have been because I just wasn't prepared for the content. I remember in junior high our math teacher let us have some old prealgebra books published in the 70's or early 80's. It was old textbooks they were going to throw away and not the book we used that year. We were not even on prealgebra that year. Anyway, I went through the old prealgebra book the teacher gave us later on and found it a lot more easier than the new prealgebra book we had. The older prealgebra book got through to me in a way the newer math book did not.
Do you know about the Dolciani high school math books? They are really good. I don't know why they are not used anymore.
I ordered both Algebra: Method & Structure book 1 and Algebra & Trigonometry method & Structure book 2 by Mary Dolciani. My copies that are coming are from the 70's. I found some newer editions from the 90's or early 2000's.
There is also introductory analysis, that’s like precalculus. It has trig and vectors. The geometry book is good too. You can learn proof techniques from them also so it’s good preparation for college math. I bought the solutions for algebra 2 because I thought it’s easier to learn how to do proofs from easy algebra 2 material rather than learning new material and proofs at the same time like in college books.
@@sunglee3935 I'll look for them. thanks😁😁
Dolciani and Wooten, with the transparency pges
I still have mine from Algebra II, although my high school called the class Math Analysis, iirc. That was 1983. Houghton Mifflin 1971, 1968. Dociani, Wooton, Beckenbach, Sharron. 15 Chapters. The prose is easy to read. It covers many topics with answers to odd exercises.
Darn it's impossible to find on eBay or Amazon.
True. Amazon has a listing for it, but it's "currently unavailable." As for Ebay, nothing. There ARE listings for linear algebra books by those authors, that might be worth investigating.
Why does it seem like discrete math book?
Do you have a P.O. box? I have some older physics books that are rather interesting.
I want it even if I failed
three years ago in my pure mathematics studies.
Is there a live chat room of people doing math?
sir please, suggest me a chemistry book please
That sounds more like a slightly more advanced pre-calculus math book than an (abstract) algebra book. The definition of a vector as an ordered list is one example. Interesting, nevertheless.
sir please, suggest me a chemistry book please 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
I think one of the best is "General Chemistry," by Linus Pauling....yes, THAT Linus Pauling. While it's "general chemistry," he delves into more advanced topics, but at an easy to understand level. I found it very helpful, as a supplement to my regular text (Atkins), when I took physical chemistry. Furthermore, it's published by Dover, and their books are always reasonably priced. Another good one is "Mellor's Modern Inorganic Chemistry," by Mellor and/or Parkes (depending on edition). I had the 1967 edition, P. by Longman's. It first came out in the nineteen-teens.
Who invented algebra, Arabian?
Yeah
@@roxynoz8245 But I think THEY got it from ancient India.
it was mister L. Gebra, over the years the name was morphed into Algebra.
@@dont-want-no-wrench would you like a ratchet?
why u shouldn't forgot math at this age?
Is it more hardcore than Baldor?