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The Green Book of Mathematical Problems
The Green Book of Mathematical Problems
There is a famous set of fairy tale books, each volume of which is designated by the colour of its cover: The Red Book, The Blue Book, The Yellow Book, etc. We are not presenting you with The Green Book of fairy stories. but rather a book of mathematical problems. However, the conceptual idea of all fairy stories, that of mystery, search, and...
Advanced Number Theory
Advanced Number Theory
Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, theories have evolved during last 2 centuries. Abounds with numerical examples, over 200 problems, many concrete, specific theorems. Includes numerous graphs and tables.

The prerequisites for this book
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Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)
Codes, Ciphers and Secret Writing (Test Your Code Breaking Skills)
Experiment with cryptography — the science of secret writing. Cipher and decipher codes: transposition and polyalphabetical ciphers, famous codes, typewriter and telephone codes, codes that use playing cards, knots, and swizzle sticks...even invisible writing and sending messages through outer space. Hours of intrigue and challenge. 45...
The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)
The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)
Since 1934 the analytic theory of numbers has been largely transformed by the \vork of Vinogradov. This \vork, which has led to remarkable ne\v results, is characterized by its supreme ingenuity and great power.

Vinogradov has expounded his method and its applications in a series of papers and in two monographs 1), which appeared in 1937
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The Works of Archimedes
The Works of Archimedes

The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a...

Taxicab Geometry: An Adventure in Non-Euclidean Geometry
Taxicab Geometry: An Adventure in Non-Euclidean Geometry

Develops a simple non-Euclidean geometry and explores some of its practical applications through graphs, research problems, and exercises. Includes selected answers.

This book has a triple purpose: to develop a very simple, concrete non-Euclidean geometry; to explore a few of its many real-world applications; to pose some of the...

A Word to the Wise: Traditional Advice and Old Country Ways
A Word to the Wise: Traditional Advice and Old Country Ways
If you've ever wondered whether carrots improve your vision (they do) and why elephants have great memories, consult A Word to the Wise. You'll discover that it's never too late to learn from a proverb or an old wives' tale. This captivating book is a fascinating compilation of age-old expressions and...
Quantum Monte Carlo: Origins, Development, Applications
Quantum Monte Carlo: Origins, Development, Applications
Monte Carlo methods are a class of computational algorithms for simulating the behavior of a wide range of various physical and mathematical systems (with many variables). Their utility has increased with general availability of fast computers, and new applications are continually forthcoming. The basic concepts of Monte Carlo are both simple and...
Mathematical Fallacies and Paradoxes
Mathematical Fallacies and Paradoxes
Stimulating, thought-provoking analysis of a number of the most interesting intellectual inconsistencies in mathematics, physics and language. Delightful elucidations of methods for misunderstanding the real world of experiment (Aristotle™s Circle paradox), being led astray by algebra (De Morgan™s paradox) and other mind-benders. Some...
The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)
The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)
This text features Leibniz's own accounts of his work and comprises critical and historical notes and essays. An informative Introduction leads to the "postscript" to Leibniz's 1703 letter to James Bernoulli, his "Historia et Origio Calculi Differentialis," and manuscripts of the period 1673-77. Essays by C. I....
Introduction to Numerical Analysis: Second Edition
Introduction to Numerical Analysis: Second Edition
Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, other topics in lucid presentation. Includes 150 additional problems in this edition. Bibliography.

This volume is intended to
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Mathematics for the Physical Sciences
Mathematics for the Physical Sciences
Advanced undergraduates and graduate students in the natural sciences receive a solid foundation in several fields of mathematics with this text. Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems....
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