I have always wanted to learn about number theory. There is actually no one here who can teach me and it's also not in my regular school syllabus, but the greatness of number theory attracts me towards it. Though I am usually able to solve simple questions I still feel a lack of ability in trying to crack tough problems. So can anybody help me in telling me from where (any book, reference article etc.) I should study this great topic to become a complete master of the subject.
2026-04-09 07:24:35.1775719475
Self Study of number theory
3.2k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in SOFT-QUESTION
- Reciprocal-totient function, in term of the totient function?
- Ordinals and cardinals in ETCS set axiomatic
- Does approximation usually exclude equality?
- Transition from theory of PDEs to applied analysis and industrial problems and models with PDEs
- Online resources for networking and creating new mathematical collaborations
- Random variables in integrals, how to analyze?
- Could anyone give an **example** that a problem that can be solved by creating a new group?
- How do you prevent being lead astray when you're working on a problem that takes months/years?
- Is it impossible to grasp Multivariable Calculus with poor prerequisite from Single variable calculus?
- A definite integral of a rational function: How can this be transformed from trivial to obvious by a change in viewpoint?
Related Questions in SELF-LEARNING
- Best book to study Lie group theory
- How do you prevent being lead astray when you're working on a problem that takes months/years?
- how to solve Lazy janitor problem
- How deep do you have to go before you can contribute to the research frontier
- Use the binomial theorem to prove that for $n$ a positive integer the following holds
- Am I right or wrong in this absolute value?
- good introduction to algebra over a field?
- What are the mathematical topics most essential for an applied mathematician?
- Are there any analysis textbooks like Charles Pinter's A book of abstract algebra?
- How to use the AOPS books?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
There are lots of great number theory texts for beginners and it really depends on your tastes,level of preparation and interests.
One of the most commonly used introductory texts and one of the most user-friendly is Kenneth Rosen's Elementary Number Theory And Its Applications.It starts from jump and covers basically the entire range of what can be learned in number theory using just high school algebra and without abstract algebra or real analysis- which a surprising amount. It has many solved examples,many wonderful side historical notes as well as applications to computer science. If you have very minimal background and are looking to learn strictly by self-study, I don't think you can do better. The one problem is the book is rather expensive. If you can get a used copy or an international edition, then by all means,do so.
If you're short on time and want to learn the subject actively,there's the old classic,Number Theory For Beginners by Andre Weil,which I love. It was recommended to me as a graduate student by Melvyn Nathanson, who first learned number theory from Weil himself using this text. It's a crystal clear problem course with a lot of very straightforward exercises-it's perfect for those trying to learn it quickly.
If you're looking for a historical presentation of number theory, John Stillwell's Elements of Number Theory can't be beat. It's a bit more difficult then the other 2 books as it functions as a companion to his abstract algebra text and presents the integers in the context of the development of basic ring theory from the Ancient Greek to today. Like all Stillwell's texts,it's scholarly, well written and provides a narrative for the basics of number theory, such as the development of Diophantine equations in antiquity and number theoretic codes in computer science.A wonderful read, as all Stillwell's books are.
That should get you started. Good luck!