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How to Think About Algorithms
How to Think About Algorithms
There are many algorithm texts that provide lots of well-polished code and proofs of correctness. This book is not one of them. Instead, this book presents insights, notations, and analogies to help the novice describe and think about algorithms like an expert. By looking at both the big picture and easy step-by-step methods for developing...
The Art and Craft of Problem Solving
The Art and Craft of Problem Solving

The newly revised Second Edtion of this distinctive text uniquely blends interesting problems with strategies, tools, and techniques to develop mathematical skill and intuition necessary for problem solving. Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International...

Graph Theory: A Problem Oriented Approach (Mathematical Association of America Textbooks)
Graph Theory: A Problem Oriented Approach (Mathematical Association of America Textbooks)

Graph Theory presents a natural, reader-friendly way to learn some of the essential ideas of graph theory starting from first principles. The format is similar to the companion text, Combinatorics: A Problem Oriented Approach also by Daniel A. Marcus, in that it combines the features of a textbook with those of a problem...

Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)
Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics)
This book considers one of the basic problems in discrete mathematics: given a collection of constraints, describe up to isomorphism all the objects that meet them. Only a handful of classification results for combinatorial objects are dated before the mid-20th century; indeed, it is through modern computers and recent developments in algorithms...
Recent Advances in Algorithms and Combinatorics
Recent Advances in Algorithms and Combinatorics
From the reviews:

"Combinatorics is one of the fastest growing fields of mathematics. … From the table of contents one can see the wide range of topics covered. The authors are acknowledged researchers of the presented fields and guarantee the high quality of the volume. If you want to be up-to-date in combinatorics you should...

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...

An Introduction to the Analysis of Algorithms (2nd Edition)
An Introduction to the Analysis of Algorithms (2nd Edition)

Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully...

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...
A Second Course in Formal Languages and Automata Theory
A Second Course in Formal Languages and Automata Theory
Intended for graduate students and advanced undergraduates in computer science, A Second Course in Formal Languages and Automata Theory treats topics in the theory of computation not usually covered in a first course. After a review of basic concepts, the book covers combinatorics on words, regular languages, context-free languages, parsing and...
Thinking in Problems: How Mathematicians Find Creative Solutions
Thinking in Problems: How Mathematicians Find Creative Solutions

This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book...

Automata Theory with Modern Applications
Automata Theory with Modern Applications
'Anderson's book gives an excellent, clearly written account of automata theory.' SIAM Review

Recent applications to biomolecular science and DNA computing have created a new audience for automata theory and formal languages. This is the only introductory book to cover such applications. It begins with a clear and readily
...
Discrete Mathematics
Discrete Mathematics

Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing. This book is aimed at undergraduate mathematics and computer science students interested in developing a feeling for what mathematics is all about,...

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