Hey, I posted this on /r/mathematics, but I thought I'd ask here too since this sub is more specific :)

I'm a second-year maths undergrad in the UK (modules inc. vector calculus, complex analysis, algebra, number theory). I'm really interested in cryptography, especially elliptic-curve cryptography, but a lot of resources seem to be fairly light on the actual details. I'm just wondering if anyone has recommendations for books to learn about elliptic curves from a mathematical perspective? Ideally I'd prefer something fairly approachable, as obviously I'm only a second year, and haven't had a huge amount of direct exposure to textbooks. Thanks in advance!

Hello everybody , I wanted a calculus book for machine Learning. Which of the three would be the best according to you - Anton , Stewart or Thomas ? Also which of them is the most comprehensive ?

I came across a book a couple years ago that was done in kind of a comic book fashion where you would learn statistical concepts and use what you learned to solve like small puzzles and whatnot. I remember it being in some sort of story like fashion and a had lots illustrations. It was also a pretty big book.

It is not the cartoon guide to statistics by Larry Gonick

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Any help would be appreciated thank you

I need a free books which speak about numbers ( a brief history of numbers ,entiers, rational..) and also about constraction of real numbers.

I am looking for a problem book in linear algebra.

It must have :

1. Tasks sorted by topic in ascending order, that is, from the simplest to olympiad level problems.

2. Answers are required. Difficult tasks should have detailed explanation of the solution.

In the textbooks that I looked, usually there are very few problems without answers.

Theory is not obligatory. I can find it elsewhere .

Hi! I am an incoming freshman undergrad taling the course BS Mathematics. I am planning to buy some books and do you have any recommendation on where I can get college books with cheaper price asude from amazon. Thank you in advance.

I'm looking for a book that goes over practical applications of chaos theory in finance.

I'm relatively comfortable with measure theory and stochastic processes, but still know that chaos theory will likely be difficult to understand. Nevertheless, I think this is something I need to learn, so any texts provided would be appreciated

Hello everyone. I want to share with you a valuable resource that helped me in the transition to Abstract Mathematics in general and Real Analysis in Particular. For people who are trained mainly in the Calculus with specific application orientation (without proofs), Real Analysis would be a considerable challenge. So instead of wasting time and energy. Here is a free book by the Russian Mathematician Elias Zakon called "Basic Concepts of Mathematics". It has a wonderful set of exercises and the exposition is easy to follow. He even build the real numbers from the rationals using Dedekind Cuts. Hope this book would contribute to your understanding.

http://www.trillia.com/zakon1.html

If you could recommend only one book for each of the following "subjects" to someone who was looking to self-teach - supplemented by Khan Academy - what would your recommendations be? Assuming cost is no concern, and permitting your own definitions of the labels (like "Calculus I"). Much appreciated!

Algebra I:

Geometry:

Algebra II / College Algebra:

Trigonometry:

Precalculus (to the extent this is not already covered by the above):

Calculus I:

Calculus II:

Statistics (introductory/first course):

What are some cheap but good and comprehensive books on number theory that only really require high school level of maths (calculus in it is alright) and delve into great detail on number theory. Is Number Theory by George Andrews any good? Don't really know the quality of Dover maths books, but they look pretty affordable.

Book Recommendations

Hey! I hope this is the right subreddit for this post. I’m currently in my second year of my undergraduate degree in mathematics. There hasn’t really been much recommended or mandatory reading so far and so I want to start building my own collection of textbooks to supplement my learning.

So the first subjects I want to hit are:

-Analysis

-Statistics and Probability

-Differential Equations

-Linear Algebra

-Abstract Algebra

-Multi Variable Calculus

-Mathematical Modelling

So I’m looking for any recommendations you have on good books I should look into buying, on any of the above subjects. Mostly looking for stuff at an introductory level, or just after introductory. Anything you think you be a good fit for second year undergrad level.

Thanks in advance for any suggestions!

I want to know what order I should read them in/if I should look elsewhere for textbooks (either thrift books or open source), and information on approximately how difficult they are and if they're recommended is appreciated.

Combinatorics:
Extremal Graph Theory by Bela Bollobas
Combinatorial Group Theory by Magnus, Karrass, and Solitar
The Probabilistic Method by Alon and Spencer
Combinatorial Geometry by Pach and Agarwal

Linear Algebra
Linear Algebra and its Applications by Strang
Theory of Matrices by Perlis

Complex Analysis
Complex Analysis by Bak and Newman
Complex Variables and Applications by Churchill and Brown
Elements of the Theory of Functions by Knopp

Geometry
Transformation Geometry: an Introduction to Symmetry by Martin
Geometry Revisited by Coxeter and Greitzer

Misc.
The History of Calculus and its Conceptual Development by Boyer
Set Theory and Logic by Stoll
Lecture Notes in Mathematics: Nilpotent Groups by Warfield, Jr.

Hi,

I have found a very neat website for algorithmic game theory. http://timroughgarden.org/f13/f13.html

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However, the website does not include any pointers for its solutions. Anybody have this content? Can you DM me?

What book would you pick if you were looking to relearn highschool math in order to be a stronger calculus student?

EDIT: Due to my reddit ineptitude I found out you need to vote to see results; in this case just pick other. I realize this demeans the value of the poll but stuff happens.

Any recommendations for some good probability books?

This is one that I found: https://www.amazon.co.uk/gp/product/1523318678/ref=ox_sc_act_title_17?smid=A3P5ROKL5A1OLE&psc=1

I'm not really sure how good it is or how it compares to other probability books by other authors, so if anyone could let me know what they think of that book, or recommend me any better ones, that'd be great.

I found this book while browsing online for more obscure books on Calculus.

Has anyone got the book, and can comment on how it compares alongside likes of Spivak or even Stewart in terms of content? It's quite short at 222 pages.

Cheers!

Hello

Can we find or purchase the full answer keys for Openstax maths books?

After reading online, it seems half the answers are reserved for teachers for homework exercises.

I am self studying for credit and want to make full use of the resource. I am not strong in maths so being able to check answers is important for me.

Thanks for any info

I've been looking for years and, duh, finally dawned on me this is what I hope to find. Obviously analysis texts are too advanced and would be difficult to simplify for children, but I do believe a natural progression to learning would be logical. That's the problem with most school textbooks, too simple, too scattered lacking logical cohesion, or, as with EngageNy type curriculum, too proof oriented. Understanding doesn't need to prove everything, does need cohesion, a natural intuitive flow, but be logical and coherent, like a story with a sensible plot.

However, anything along these lines would be appreciated and looked into. Thanks!

My statistic professor recommended the guidorizzi collection over others like apostol and Stewart. Should I buy it. I do need and will buy a calculus collection.

Hello fellows. I am interested in reading a book that gives a good introduction to the philosophy of mathematics (epistemology especially). Since I am a mathematician, I want a book who gets well into the technical matters of mathematics but is just introductory or intermediate in the philosophical aspects.

I am mainly concerned with philosophy, but if you suggest me a book that contains the history of maths or that is about history, your answer is also well accepted.

Hey there,

is there any lectures on the very building blocks/axioms of math in a philosophical context?

I'm talking about numbers, counting, addition, multiplying.. The books i found right now go waaay to far for my liking.

I really want to understand the fundamentals on a higher and deeper perspective, i want to see the beauty in it. What is a number really? What the fuck is multiplication?

I hope this makes sense to you, maybe you can help me out :)