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Unsolved Problems in Number Theory
Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane’s Online Encyclopedia of Integer Sequences, at the end of several of the sections.
La Divina Commedia (The Divine Comedy) : Inferno
This is the first book of a trilogy. Click on the links below to view the other two volumes of the trilogy. LA DIVINA COMMEDIA (THE DIVINE COMEDY) : Purgatorio LA DIVINA COMMEDIA (THE DIVINE COMEDY) : Paradiso
Index to Mathematical Problems, 1980-1984
A compendium of over 5,000 problems with subject, keyword, author and citation indexes.
Mathematical Delights
Mathematical Delights is a collection of 90 short elementary gems from algebra, geometry, combinatorics, and number theory. Ross Honsberger presents us with some surprising results, brilliant ideas, and beautiful arguments in mathematics, written in his wonderfully lucid style. The book is a mathematical entertainment to be read at a leisurely pace. High school mathematics should equip the reader to handle the problems presented in the book. The topics are entirely independent and can be read in any order. A useful set of indices helps the reader locate topics in the text.
Analytic Number Theory for Beginners
This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big $O$, little $o$, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet $L$-function, Dirichlet's Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this seco...
La Divina Commedia (The Divine Comedy) : Paradiso
This is the third book of a trilogy. Click on the links below to view the other two volumes of the trilogy. LA DIVINA COMMEDIA (THE DIVINE COMEDY) : Inferno LA DIVINA COMMEDIA (THE DIVINE COMEDY) : Purgatorio
Enumerative Combinatorics
Revised second volume of the standard guide to enumerative combinatorics, including the theory of symmetric functions and 159 new exercises.
