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Integer and Polynomial Algebra
This book is a concrete introduction to abstract algebra and number theory. Starting from the basics, it develops the rich parallels between the integers and polynomials, covering …
Mathematical Gift, Volume 1-3
Addresses the interplay between topology, functions, geometry, and algebra. This title offers serious mathematics in a reader-friendly style. It includes exercises and many figures …
Mathematics 2
This is the translation from the Japanese textbook for the grade 11 course, 'General Mathematics'. It is part of the easier of the three elective courses in mathematics offered at …
Fixed Points
The theory of fixed points finds its roots in the work of Poincare, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, …
Mathematics of Encryption
An Elementary Introduction. Historical and mathematical tour of cryptography, from classical ciphers to quantum cryptography.
Mathematics of Voting and Elections
Have you ever wondered ... why elections often produce results that seem to be displeasing to many of the voters involved? Would you be surprised to learn that a perfectly fair …
Geometry of Conics
The book is devoted to the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known …