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Best Number Theory Books Reviewed & Ranked

Here is a list of the best Number Theory books, some I have read myself, some that I did research on, and all have great reviews!

1. Number Theory (Dover Books on Mathematics) (1994)

Best Number Theory Books Reviewed & RankedAlthough mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic.In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent…
Author(s): George E. Andrews

2. Art of Problem Solving Introduction to Number Theory Textbook and Solutions Manual 2-Book Set (1965)

Best Number Theory Books Reviewed & RankedAoPS 2-Book Set : Art of Problem Solving AoPS Introduction to Number Theory Textbook and Solutions Manual 2-Book Set : Learn the fundamentals of number theory from former MATHCOUNTS, AHSME, and AIME perfect scorer Mathew Crawford. Topics covered in the book include primes & composites, multiples & divisors, prime factorization and its uses, simple Diophantine equations, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and much more. The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so…
Author(s): Mathew Crawford

3. An Introduction to the Theory of Numbers (2008)

Best Number Theory Books Reviewed & RankedAn Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D. R. Heath-Brown, this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today’s students through the key milestones and developments in number theory.Updates include a chapter by J. H. Silverman on one of the most important developments…
Author(s): G. H. Hardy , Edward M. Wright, et al.

4. Elementary Number Theory (Paperback) (2017)

Best Number Theory Books Reviewed & RankedPrinted in Asia – Carries Same Contents as of US edition – Opt Expedited Shipping for 3 to 4 day delivery -…
Author(s): David Burton

5. Fuzzy Set Theory: Foundations and Applications (1997)

Best Number Theory Books Reviewed & RankedThis book is designed to help anyone understand the basics of fuzzy sets, whether or not they have a mathematical background. The book first presents a basic grounding in information theory, classical logic and set theories. Next, it introduces the basics of fuzzy sets, distinguishing them from traditional crisp sets, and introducing the concept of membership function. The distinctions between classical and fuzzy relations are introduced, as are representations of fuzzy relations; fuzzy equivalence relations; fuzzy partial orderings, and related topics. The book introduces fuzzy arithmetic and fuzzy numbers. It…
Author(s): George J. Klir , St. Clair, Ute, et al.

6. Number theory through exercises (2019)

Best Number Theory Books Reviewed & RankedThis book is intended as a teacher’s manual of Number Theory and a self-study handbook for high-school or college students, and mathematical competitors. The book teaches new and classical proof techniques of Number Theory through practical and challenging problems. It is arranged by topics and difficulty level.It mainly consists of new problems created by authors with author-prepared-solutions, some of these problems were proposed in different national and international Mathematical Olympiads from 1984 to 2018.The book gives a broad view of Number Theory and goes beyond the typical elementary…
Author(s): Hayk Sedrakyan, Nairi Sedrakyan

7. The Little Book of Maths, Theorems, Theories & Things (2008)

Best Number Theory Books Reviewed & RankedA unique collection of over 100 mathematicalideas, theories, theorems, conjectures,rules, facts, equations, formulas, paradoxes,fallacies, and puzzles with short, simpleand witty explanations that require no backgroundin mathematics.Easy to understand, you’ll have the world ofmath’s at your fingertips.A dip in and Dip out book to read at random….
Author(s): Surendra Verma

8. Elementary Number Theory (Springer Undergraduate Mathematics Series) (1998)

Best Number Theory Books Reviewed & RankedAn undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums…
Author(s): Gareth A. Jones, Josephine M. Jones

9. Elementary Number Theory by Kenneth H. Rosen (2010-03-26) ()

Best Number Theory Books Reviewed & RankedPaperback Publisher: Pearson (1738) ASIN: B01MY3URKD Average Customer Review: 4.3 out of 5 stars 4 customer reviews Amazon Best Sellers Rank: #6,789,786 in Books (See Top 100 in Books) Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support?…
Author(s): Jan 1, 1738

10. Friendly Introduction to Number Theory, A (Classic Version) (4th Edition) (Pearson Modern Classics for Advanced Mathematics Series) (2017)

Best Number Theory Books Reviewed & RankedFor one-semester undergraduate courses in Elementary Number Theory This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit for a complete list of titles.    is designed to introduce students to the overall themes and methodology of mathematics through the detailed study of one particular facet–number theory. Starting with nothing more than basic high school algebra, students are gradually led to the point of actively performing…
Author(s): Joseph Silverman

Euclid devoted part of his Elements to prime numbers and divisibility, topics that belong unambiguously to number theory and are basic to it (Books VII to IX of Euclid’s Elements). In particular, he gave an algorithm for computing the greatest common divisor of two numbers (the Euclidean algorithm; Elements, Prop. Elementary Number Theory (Dudley) provides a very readable introduction including practice problems with answers in the back of the book. It is also published by Dover which means it is going to be very cheap (right now it is $8.74 on Amazon). It’ “If the theory of numbers could be employed for any practical and obviously honourable purpose, if it could be turned directly to the furtherance of human happiness or the relief of human suffering, as physiology and even chemistry can, then surely neither Gauss nor any other mathematician would have been so foolish as to decry or regret such Number Theory For Beginners by Andre Weil is the slickest,most concise yet best written introduction to number theory I’ve ever seen-it’s withstood the test of time very well. For math students that have never learned number theory and want to learn it quickly and actively, this is still your best choice. number theory, postulates a very precise answer to the question of how the prime numbers are distributed. This chapter lays the foundations for our study of the theory of numbers by weaving together the themes of prime numbers, integer factorization, and the distribution of primes. In Section 1.1, we rigorously prove that the

We highly recommend you to buy all paper or e-books in a legal way, for example, on Amazon. But sometimes it might be a need to dig deeper beyond the shiny book cover. Before making a purchase, you can visit resources like Genesis and download some number theory books mentioned below at your own risk. Once again, we do not host any illegal or copyrighted files, but simply give our visitors a choice and hope they will make a wise decision.

A Pythagorean Introduction to Number Theory: Right Triangles, Sums of Squares, and Arithmetic

Publisher: SPRINGER, Year: 2019, Size: 4 Mb, Download: pdf
ID: 2290063

Mathematical Marvels First Steps in Number Theory A Primer on Divisibility by Shailesh Shirali Universities Press RMO INMO Mathematics Olympiad IMO

Author(s): Shailesh A Shirali
Publisher: Shailesh Shirali Universities Press, Year: 2019, Size: 47 Mb, Download: pdf
ID: 2318918

Number Theory by Shailesh Shirali echoes from Resonance Selected Articles C S Yogananda Universities Press

Author(s): Shailesh Shirali S Yogananda
Publisher: Universities Press, Year: 2019, Size: 1 Mb, Download: pdf
ID: 2344589

String fields, higher spins and number theory

Author(s): Polyakov, Dmitrii Borisovich
Publisher: World Scientific Publishing Co. Pte. Ltd., Year: 2019, Size: 2 Mb, Download: pdf
ID: 2361662

Introduction to Number Theory AOPS Part 2 Upto Chapter 9 to 15 Unit Digits Art of Problem Solving Mathew Crawford ISBN 978 1 934124 12 3 MIST Academy Mathematics Olympiad

Author(s): Mathew Crawford
Publisher: MIST Academy Mathematics Olympiad, Year: 2019, Size: 40 Mb, Download: pdf
ID: 2372484

Introduction to Number Theory AOPS Part 1 Upto Chapter 8 Page 164 Base Numbers Art of Problem Solving Mathew Crawford ISBN 978 1 934124 12 3 MIST Academy Mathematics Olympiad

Author(s): Mathew Crawford
Publisher: MIST Academy Mathematics Olympiad, Year: 2019, Size: 47 Mb, Download: pdf
ID: 2372486

Quadratic Number Theory: An Invitation to Algebraic Methods in the Higher Arithmetic

Author(s): J L Lehman
Publisher: Maa Press, Year: 2019, Size: 2 Mb, Download: pdf
ID: 2378178

Derived Langlands : monomial resolutions of admissible representations

Author(s): Snaith, Victor P.
Publisher: , Year: 2019, Size: 5 Mb, Download: pdf
ID: 2383986

MTH6128: Number Theory, 2018/2019

Author(s): Stephen Lester
Publisher: , Year: 2019, Size: 7 Mb, Download: zip
ID: 2399363

Number Theory and Geometry: An Introduction to Arithmetic Geometry

Author(s): Aalvaro Lozano-Robledo
Publisher: American Mathematical Society, Year: 2019, Size: 19 Mb, Download: pdf
ID: 2402429

Please note that this booklist is not final. Some books are truly best-sellers according to The Wall Street Journal, others are drafted by unknown writers. On top of that, you can always find additional tutorials and courses on Coursera, Udemy or edX, for example. Are there any other relevant resources you could recommend? Drop a comment if you have any feedback on the list.

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