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Mathematical Conversations: Multicolor Problems, Problems in the Theory of Numbers, and Random Walks

by E. B. Dynkin & V. A. Uspenskii Dover Publications (October 30, 2013)

Comprises Multicolor Problems, dealing with map-coloring problems; Problems in the Theory of Numbers, an elementary introduction to algebraic number theory; Random Walks, addressing basic problems in probability...


History of the Theory of Numbers, Volume II: Diophantine Analysis

by Leonard Eugene Dickson Dover Publications (September 19, 2013)

Written by a distinguished University of Chicago professor, this 2nd volume in the series History of the Theory of Numbers presents material related to Diophantine Analysis. 1919 edition.


The Theory of Algebraic Numbers

by Harry Pollard & Harold G. Diamond Dover Publications (June 14, 2012)

Excellent intro to basics of algebraic number theory. Gausian primes; polynomials over a field; algebraic number fields; algebraic integers and integral bases; uses of arithmetic in algebraic number fields;...


Essays on the Theory of Numbers

by Richard Dedekind Dover Publications (June 14, 2012)

Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties...


Topics in Number Theory, Volumes I and II

by William J. LeVeque Dover Publications (May 25, 2012)

Classic 2-part work now available in a single volume. Contents range from chapters on binary quadratic forms to the Thue-Siegel-Roth Theorem and the Prime Number Theorem. Includes problems and solutions. 1956...


Algebraic Number Theory

by Edwin Weiss Dover Publications (January 27, 2012)

Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global,...


The Theory of Remainders

by Andrea Rothbart Dover Publications (November 06, 2012)

An imaginative introduction to number theory and abstract algebra, this unique approach employs a pair of fictional characters whose dialogues explain theories and demonstrate applications in terms of football...


Elementary Number Theory: An Algebraic Approach

by Ethan D. Bolker Dover Publications (May 17, 2012)

This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more....


An Adventurer's Guide to Number Theory

by Richard Friedberg Dover Publications (June 08, 2012)

This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.


Topological Methods in Galois Representation Theory

by Victor P. Snaith Dover Publications (November 05, 2013)

This advanced monograph on Galois representation theory by a renowned algebraist covers abelian and nonabelian cohomology of groups, characteristic classes of forms and algebras, explicit Brauer induction theory,...


Theory and Application of Infinite Series

by Konrad Knopp Dover Publications (March 29, 2013)

Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic...


Introductory Complex Analysis

by Richard A. Silverman Dover Publications (March 18, 2013)

Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers....


Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger

by Pierre Samuel Dover Publications (March 12, 2013)

This text covers the basics of algebraic number theory, including divisibility theory in principal ideal domains, the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition....


Diophantine Approximations

by Ivan Niven Dover Publications (December 26, 2012)

This self-contained treatment covers approximation of irrationals by rationals, product of linear forms, multiples of an irrational number, approximation of complex numbers, and product of complex linear forms....


Mathematics: The Man-Made Universe

by Sherman K. Stein Dover Publications (February 21, 2013)

Highly readable volume covers number theory, topology, set theory, geometry, algebra, and analysis, plus the primes, fundamental theory of arithmetic, probability, and more. Solutions manual available upon request....


Number Theory and Its History

by Oystein Ore Dover Publications (June 08, 2012)

Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.


Number Theory

by George E. Andrews Dover Publications (April 02, 2012)

Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on...


Elementary Real and Complex Analysis

by Georgi E. Shilov Dover Publications (July 03, 2012)

Excellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition.


Elementary Number Theory: Second Edition

by Underwood Dudley Dover Publications (May 07, 2012)

Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.


Introductory Real Analysis

by A. N. Kolmogorov, S. V. Fomin & Richard A. Silverman Dover Publications (April 25, 2012)

Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear...


Introduction to Real Analysis

by Michael J. Schramm Dover Publications (April 13, 2012)

This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.


Fragments of Infinity: A Kaleidoscope of Math and Art

by Ivars Peterson Wiley (May 02, 2008)

A visual journey to the intersection of math and imagination, guided by an award-winning author

Mathematics is right brain work, art left brain, right? Not so. This intriguing book shows how intertwined the disciplines...


Sacred Geometry: Language of the Angels

by Richard Heath Inner Traditions (October 20, 2020)

Reveals how the number science found in ancient sacred monuments reflects wisdom transmitted from the angelic orders

• Explains how the angels transmitted megalithic science to early humans to further our...


The Number Mysteries

by Marcus du Sautoy St. Martin's Press (May 23, 2011)

Every time we download music, take a flight across the Atlantic or talk on our cell phones, we are relying on great mathematical inventions. In The Number Mysteries, one of our generation's foremost mathematicians...


Weird Math

by David Darling & Agnijo Banerjee Civitas Books (April 16, 2018)

A teenage genius and his teacher take readers on a wild ride to the extremes of mathematics

Everyone has stared at the crumpled page of a math assignment and wondered, where on Earth will I ever use this? It...


Love and Math

by Edward Frenkel Basic Books (September 30, 2013)

An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics

What if you had to take an art class in which you were only taught how to paint a fence? What if...


Advanced Number Theory

by Harvey Cohn Dover Publications (May 04, 2012)

"A very stimulating book ... in a class by itself." — American MathematicalMonthly

Advanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which...


A Stuck on Learning Math Sticker Book for Toddlers - Counting Book

by Baby Professor Baby Professor (February 15, 2017)

Counting is made more playful with this sticker book for toddlers. Nobody is allowed to get stuck on Mathematics. You must keep your kids moving up the ladder of learning with this activity book. Let’s all...


Here's Looking at Euclid

by Alex Bellos Free Press (June 15, 2010)

Too often math gets a bad rap, characterized as dry and difficult. But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race,...


Abstract Analytic Number Theory

by John Knopfmacher Dover Publications (March 17, 2015)

Innovative study applies classical analytic number theory to nontraditional subjects. Covers arithmetical semigroups and algebraic enumeration problems, arithmetical semigroups with analytical properties of...