best mathematics books for self study pdf
How many free math books are there?
If anyone is interested in learning mathematics, here are 18 beautiful free math books! Set theory is an essential mathematical skill required in the computer science field. Most individuals often struggle to learn set theory due to the lack of guidance and accurate resources.
Which math books should I read If I'm not a mathematician?
For a historical view, I highly recommend reading through Kline's Mathematics for the Nonmathematician. It contains a small handful of exercises, but they're not the main focus - this is one of the few math books I recommend that you can just leisurely read.
Is self-studying math a good idea?
Mathematics is the best tool to enhance brain skills. However, self-studying mathematics is a challenging habit. So many people start but learning math, but then they give up after a few months. Some intelligent people have been learning math on their own.
Should you learn math on your own?
So many people start but learning math, but then they give up after a few months. Some intelligent people have been learning math on their own. They have used the most reliable and easy-going books to easily understand math because choosing a good and appropriate book of the right level is crucial.
How It All Began For Me
I used to love mathematics. Though I ended up getting an engineering degree and my career is in software development, I had initially wanted to study maths at university. But the reality is, that's a very tough road to take in life - the academic world is, generally speaking, a quite tortuous path with low pay, long hours, and rife with burnout. So
Why Learn Mathematics?
Growing up I always loved puzzles and problem solving. I would spend hours working my way through puzzle books, solving riddles, and generally latching on to anything that gives you that little dopamine hit. If you're similar, mathematics might just be for you. Mathematics is hard. Seriously hard. And then suddenly, what was hard is easy, trivial,
Picking The Right Books and Courses For Self-Learning
As a self-learner, it's critical to pick books with exercises and solutions. At some point later on you can swap to books without exercises and/or solutions, but in the beginning you need that feedback to be able to learn from your mistakes and move forward when you're stuck. The books you pick as a self-learner are also sometimes different from wh
Foundations
I'm going to assume a high-school level of maths is where you last left-off and that it's been some time since then that you've last done any maths. To get going, there's a couple of books I recommend: The Art of Problem Solving, Vol 1 & 2 (with solutions manuals)- Lehoczky and Rusczyk The Art of Problem Solving books are wonderful starter books. T
A Historical (and Motivated) Perspective
I think it's useful early on in the learning journey to have a broad map of where math has been, what has motivated its development to date, and also where it's going. Mathematics for the Nonmathematician (Dover)- Kline For a historical view, I highly recommend reading through Kline's Mathematics for the Nonmathematician. It contains a small handfu
Proofs and Mathematical Logic
For many, your first proof book is where everything clicks and you begin to understand that there is more to math than just calculation. For this reason, many people have very strong feelings about their favourite proofs book and there are indeed several that are quite good. But my favourite of all of them is: An Introduction to Mathematical Reason
Calculus/Real Analysis
Calculus- Spivak Spivak's Calculus is the among the best maths book I have ever worked through but don't be fooled by the name - this is an introductory book to real analysis and is very different from the Calculus books mentioned earlier which emphasize computation. The emphasis for this book is on building up the foundations step by step for sing
Linear Algebra
For Linear Algebra, I can suggest two different learning paths. If you prefer to work through books only, I recommend working through Savov and Axler for both the applied and pure views of linear algebra. However, if you're comfortable with video instruction, I really like Gilbert Strang's Linear Algebra material (both the book and the online cours
Multivariable Calculus
MIT OCW Multivariable Calculus The MIT OCW Multivariable Calculuscourse is the best resource I've found for getting comfortable with multivariable calculus. I don't really know of any good books covering this subject (no, please don't say Stewart) and I found the MIT course to be really enjoyable. Good collection of problems and worked solutions, c
Differential Equations
Ordinary Differential Equations (Dover)- Tenenbaum and Pollard ODEs get a bit of a bad rap for being a quite boring subject, and I think many people view the process of learning about differential equations as being about internalizing an almost random collection of "tricks" to solve certain ODE forms. But it doesn't have to be that way, and I lear
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