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Fundamental Approach to Discrete Mathematics
Fundamental Approach to Discrete Mathematics

The salient features of this book include: strong coverage of key topics involving recurrence relation, combinatorics, Boolean algebra, graph theory and fuzzy set theory. Algorithms and examples integrated throughout the book to bring clarity to the fundamental concepts. Each concept and definition is followed by thoughtful examples. There is...

The Cryptoclub: Using Mathematics to Make and Break Secret Codes
The Cryptoclub: Using Mathematics to Make and Break Secret Codes
Join the Cryptokids as they apply basic mathematics to make and break secret codes. This book has many hands-on activities that have been tested in both classrooms and informal settings. Classic coding methods are discussed, such as Caesar, substitution, Vigenère, and multiplicative ciphers as well as the modern RSA. Math topics covered...
Polyhedra
Polyhedra
"The major virtue of the book is that the author has managed to find many interesting paths in mathematics not often traveled." Notices of the AMS

This remarkable book goes far beyond the superficial, providing a solid and fascinating account of the history and mathematics of polyhedra... It is likely to become the classic
...
Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)
Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)
This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide...
A Primer for Mathematics Competitions
A Primer for Mathematics Competitions
The importance of mathematics competitions has been widely recognized for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of...
Sets, Logic and Maths for Computing (Undergraduate Topics in Computer Science)
Sets, Logic and Maths for Computing (Undergraduate Topics in Computer Science)
This book equips the student with essential intellectual tools that are needed from the very beginning of university studies in computing. These consist of abilities and skills - to pass from a concrete problem to an abstract representation, reason with the abstract structure coherently and usefully, and return with booty to the specific situation....
Mathematical Olympiad Challenges
Mathematical Olympiad Challenges
This significantly revised and expanded second edition of "Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry,...
Set Theory (Studies in Logic and the Foundations of Mathematics)
Set Theory (Studies in Logic and the Foundations of Mathematics)
...provides a good introduction to relative consistence proofs in axiomatic set theory. It can be recommended as a graduate text on the subject. -- Zentralblatt für Mathematik

Paperback. Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides
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Kazhdan's Property (T) (New Mathematical Monographs)
Kazhdan's Property (T) (New Mathematical Monographs)
Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of subjects, including discrete subgroups of Lie...
From Erdos to Kiev: Problems of Olympiad Caliber (Dolciani Mathematical Expositions)
From Erdos to Kiev: Problems of Olympiad Caliber (Dolciani Mathematical Expositions)
'The publication of every new volume in The Dolciani Mathematical Expositions of the Mathematical Association of America is an important event ... This book is recommended to teachers, students and everyone, who enjoy the fun and games of problem solving and have the opinion that asking and answering problems is what keeps a mathematician young in...
Discrete Mathematics DeMYSTiFied
Discrete Mathematics DeMYSTiFied
In today’s world, analytical thinking is a critical part of any solid education. An important segment of this kind of reasoning—one that cuts across many disciplines—is discrete mathematics. Discrete math concerns counting, probability, (sophisticated forms of) addition, and limit processes over discrete sets. Combinatorics, graph...
Proofs that Really Count:  The Art of Combinatorial Proof (Dolciani Mathematical Expositions)
Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions)
'This book is written in an engaging, conversational style, and this reviewer found it enjoyable to read through (besides learning a few new things). Along the way, there are a few surprises, like the 'world's fastest proof by induction' and a magic trick. As a resource for teaching, and a handy basic reference, it will be a great addition to the...
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