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this is from the book Calculus made easy
Don't tell me I don't support a thing that I support so that you can criticize me for not supporting it, lmao.
You lot aren't too bright, eh? I guess it's easier to argue against us when you just make shit up on the spot. Here's a book for you, since you like reading so much.
The CRC Standard Mathematical Tables book was my bible in engineering, back before graphing calculators were a thing. https://www.amazon.com/Standard-Mathematical-Formulae-Advances-Mathematics/dp/1439835489 I ended up with 2 copies, one in my car, one at home. Another good reference to have
Άσχετο, αλλά θα συνέστηνα ανεπιφύλακτα αυτό το βιβλίο. Είναι πραγματικά fun και easy read - πάντα το διάβαζα στην τουαλέτα πριν την διάδοση των κινητών.
Άλλα δυστυχώς, δεν περιέχει την Σταθερά ΚΚΕ.
Hey! Fellow sellout here.
I don't want to gloss over the fact that it's a massive lift, but I'm about 100 pages into the Princeton Companion (https://smile.amazon.com/dp/0691118809/ref=cm_sw_r_cp_apa_glt_fabc_BMQ2QH2XA4C6B34M130J) and I personally love it. It's extremely well cross referenced so you do not need to read it cover-to-cover.
I love it because it gives just enough depth for you to get an intuitive flavor of different topics and areas. It tells me just enough, without pulling punches, for me to tell if a topic is something I want to look more into and in a serious way.
I’ll add my 2 cents: this may help, get the book “humongous book of calculus problems by Michael Kelly” (see link below).
You may brush up on the fundamental theorem/topics of your choice to prepare you for Calc 3 multivariable calculus.
This book got me through 124/125. It didn't follow in the exact order of the concepts in class, but doing these practice exercises over and over I was way more prepared for tests than just doing the homework. https://www.amazon.com/Humongous-Book-Calculus-Problems-Books/dp/1592575129/ref=sr_1_4
I had a similar request to yours, except I wanted to go beyond Calculus to get a broad survey of mathematical topics, using a ground up approach. The Princeton Companion to Mathematics is exceptional, I can't recommend it enough! It covers all the topics you wish your mathematics teachers had instilled in you, all within a comprehensive & comprehensible form. It has been years since I studied math. I've long since forgotten a majority of what I was taught but, I can still easily progress in this book and I feel like I finally understand many of the ideas that were impenetrable before.
I'm not alone in my positive review. You'll note that people have been heaping praise onto this volume on Amazon and in more formal book reviews as well.
I second the Companion. It's $63 new on Amazon, and reading it has given me a much broader understanding of modern math.
That’s a way to think about it, no it would either still have one hole or no longer have one (if it cracked all the way up), and 50 Mathematical Ideas You Really Need to Knowis the only one I got that’s not masters level sorry. But numberphile should help
There are skills in algebra and skills in test taking that probably can help, especially in true false or multiple choice.
This is a very simple example, but odd X odd is always odd. Once you know that you can often eliminate some multiple choice options as a test management skill. Also, look at how points are allocated. Often you want the longer and higher skill points first and then move to lower point values.
Instructors like to repeat themselves. You'll probably see this format and know better how to study and what to master, but in math just seeing lots of variations in problems is super helpful.
https://www.amazon.com/Humongous-Book-Algebra-Problems-Books/dp/1592577229
For me, I need to see lots of problems and variations on problems. I have bought this type of book for every math class I've ever taken. I do lots and lots of problems (even the easy ones) so that I can both solve the easy ones quicker, but have more help with weird examples that maybe the book didn't have enough of.
I've had the same thought at different points in my math career while studying for my engineering degree, so I definitely understand the sentiment. I stared with pre-algebra at community college, worked my way up to calculus 1 and had to retake it, worked my way up to calc 3 and had to retake it, and every time I failed a math class I had the thought that maybe this is just as high as I can go.
I don't know if this is your case, but I've found that a lot of what hindered me while learning math was that so much of it is vocab and it's difficult to grasp the concept while also learning the very specific meanings of the words that are used. "The Humongous Book of..." series helped me out a lot with this, because it explains things in plain language without using the math terminology so that you grasp the concept first and then associate the vocab with what you already know. Here's a link if you're interested, just don't give up.
https://www.amazon.com/Humongous-Book-Algebra-Problems-Books/dp/1592577229
https://www.amazon.com/Mathematical-Ideas-Really-Need-Know/dp/1847240089
I enjoyed this book before I had a formal undergraduate math education. Don't know what all she knows about math already, but if she would probably enjoy it if she has not taken topology, abstract algebra, and/or analysis.
My apologizes. I was under the impression that you were going to jump into calculus without the basic foundations under your belt. Here is the deal with mathematics in general. Like nursing or medicine you need to continue to practice you skills, study your skills and exercise your skills regularly. I still buy practice books of calculus problems and run through them.
This is a great book
(https://www.amazon.com/Humongous-Book-Calculus-Problems-Books/dp/1592575129)
Khan Academy is cool if you want to self teach on your own. It can take you far, however, taking tests under pressure to prove that you have retained the materials is most recommended.
Great resources are Mathantics and Professor Leonard on YouTube.
Again, sorry I came across that way. I just want to be honest. Calculus is not a joke and Calc 2 and 3 are more difficult concepts. If you think you can get away with it, do it. It is not for everybody. I also recommend using the library tutor system if you get stuck. Good luck.
Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem, by Simon Singh. It's the definitive history of the 350 years long endeavor to solve Fermat's Last Theorem. I read it earlier this year and loved it; it does an excellent job of describing the problem and explaining why it's so difficult, and chronicles the main players and events in a way that's surprisingly captivating.
there's no point picking apart what you just wrote. if you can't take on board the painfully obvious problem with your initial logic there's no dragging you out of the hole you're digging yourself into... instead, i suggest reading this
And I wouldn't call those opinions of yours harmless; they give the impression that you have some quite homophobic underlying views.
Calculus Made Easy seems to be advocated for in terms of learning the basics/obtaining a better understanding. You can get it for pretty cheap on Amazon. Check out the reviews; the feedback’s pretty solid.
Once you get further, it looks like Michael Spivak’s Calculus book is also pretty renowned, though from what I gather, it’s a lot more advanced than the book above. I recommend it as a successor.
If you’re more of a visual learner (as I am) and prefer vocally taught classes, I’m sure you could find a variety of beneficial classes on Coursera. They’re all free (unless you want to pay for a certificate... which I’m sure you’ll opt out of). Looks like the University of Sydney has a pretty well-rated course titled “Intro to Calculus”. Maybe give that a look.
You should try Fermat's Enigma by Simon Singh. It is about number theory, in particular about Fermat's Last Theorem. It is written for laypeople, and discusses the pretty fascinating history on the problem, which went unsolved for hundreds of years and was only finally put to rest in the 1990's.
If you're not familiar with Fermat's Last Theorem, it is pretty simple to understand, but the proof took dozens of pages (edit: actually 129) of extremely specialized, advanced mathematics.
My favorite single-variable calculus text is "Calculus" by Spivak.
I would say that readers should have some experience with computational single-variable calculus (i.e. "What is a derivative intuitively?", "How do you compute derivatives of polynomials?"), but after that Spivak is the perfect introduction to calculus for someone who perhaps wants to go on to study mathematics.
Edit: By the way, books published by CreateSpace are typically really bad (they are publishing books that are in the public domain). A better version of Calculus Made Easy would probably be https://www.amazon.com/Calculus-Made-Easy-Silvanus-Thompson/dp/0312185480/.
Calculus Made Easy. Sylvanus Thompson. Updated and Expanded Edition Edited by Martin Gardner It worked for me. It's short, but covers everything and every chapter ends with a few problems.
https://www.amazon.com/Logic-Dummies-Mark-Zegarelli/dp/0471799416
And here you go! Since you failed to explain yourself, it is much needed, I suppose. Lets play this shitpost game together then. It seems that I won't have any kind of reasonable answer from you, so why not engage in some tomfoolery?
Oh! I have even better book for you:
It has something about giving proper arguments and explanations, I'm sure. Cannot recall it though - its been a while since I read it last time.
I found The Humongous Book of Calculus Problems to be very helpful. It breaks down a lot of the concepts simply and also gives you problems to work. It helped me refresh Calc I before Calc II and helped me prepare for Calc II ahead of time.
With Calc II trig identities come up a lot. Memorize them all. It would also be a good idea to know the unit circle very well. A flashcard program like anki can be very good for all the memorization this course requires.
This one : The Humongous Book of Algebra Problems https://www.amazon.com/dp/1592577229/ref=cm_sw_r_cp_apa_yTP9zbZNSH0W6
And this one: Algebra Survival Guide: A Conversational Handbook for the Thoroughly Befuddled https://www.amazon.com/dp/0984638199/ref=cm_sw_r_cp_apa_TUP9zb33RCXVY
Sorry for the long links.
These 2 I refer to when I forget basic stuff. Good luck.
A great book on Andrew Wiles and Fermat's Last Theorem is Simon Singh's <em>Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem</em>.
Keep this under your pillow, bought because of a recommendation from a PhD candidate and it hasn't left my side since as I work:
Here's a later edition, reworked by the late, great Martin Gardner: https://www.amazon.com/Calculus-Made-Easy-Silvanus-Thompson/dp/0312185480/ref=as_li_ss_tl?ie=UTF8&qid=1492709553&sr=8-1&keywords=calculus+made+easy&linkCode=sl1&tag=pausnisblo-20&linkId=1818a78067c98161b0aea3561b88ac0b
Here it is on Amazon: https://www.amazon.com/Calculus-Made-Easy-Silvanus-Thompson/dp/0312185480/ref=sr_1_1?s=books&ie=UTF8&qid=1492741701&sr=1-1&keywords=calculus+made+easy
It is noted in the reviews that the hard back copy is superior
What? The fact that you BOUGHT a stolen laptop shows that they ARE NOT worthless. Maybe this would help you out?