Graph theory

Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics - compute...

 The Mathematics of Information Coding, Extraction and Distribution

High performance computing consumes and generates vast amounts of data, and the storage, retrieval, and transmission of this data are major obstacles to effective use of computing power. Challenges inherent in all of these operations are security, speed, ...

 Mathematics and Music A Diderot Mathematical Forum

In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for inst...

 Foundation of Computational Mathematics

The Society for the Foundations of Computational Mathematics supports fundamental research in a wide spectrum of computational mathematics and its application areas. As part of its endeavour to promote research in computational mathematics, the society re...

 Astronomically Speaking A Dictionary of Quotations on Astronomy, Mathematics and Physics

Astronomically Speaking: A Dictionary of Quotations on Astronomy, Mathematics and Physics is the largest compilation of astronomy quotations published to date: it contains around 1550 quotations. There are many books of quotations, some of which have smal...

 The Last Recreations Hydras, Eggs, and Other Mathematical Mystifications

"It's fitting that a man who has written so lucidly on paradoxes has had a career that is in itself a bit of a paradox. Martin Gardner never took a mathematics course in college, yet probably has done more to stimulate an appreciation for curiosity about,...

 Integers, Polynomials, and Rings A Course in Algebra

Mathematics is often regarded as the study of calculation, but in fact, mathematics is much more. It combines creativity and logic in order to arrive at abstract truths. This book is intended to illustrate how calculation, creativity, and logic can be com...

 Trigonometric Delights

Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the worl...

 Mathematics for the Nonmathematician

Erudite and entertaining overview follows development of mathematics from ancient Greeks, through Middle Ages and Renaissance to the present. Chapters focus on Logic and Mathematics, the Number, the Fundamental Concept, Differential Calculus, the Theory o...

 Companion encyclopedia of the history and philosophy of the mathematical sciences - Volume I

Mathematics is one of the most basic-and most ancient-types of knowledge. Yet the details of its historical development remain obscure to all but a few specialists. The two-volume Companion Encyclopedia of the History and Philosophy of the Mathematical Sc...

 Mathematics for Physics

Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspect of physics that many students fear the most. Mathe...

 Across the board The Mathematics of Chessboard Problems

Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From...

 Worlds Out of Nothing A Course in the History of Geometry in the 19th Century

Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students in mathematics but will also appeal to ...

 Musimathics The Mathematical Foundations of Music, Volume 1

"Mathematics can be as effortless as humming a tune, if you know the tune," writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music--a commonsense, self-contained introduction for the ...

 Biostatistics A Guide to Design, Analysis, and Discovery

Today, mathematics, biology, medicine, and statistics are closing the interdisciplinary gap in an unprecedented way and many of the important unanswered questions now emerge at the interface of these disciplines. Now in its Second Edition, this user-frien...

 Sherlock Holmes in Babylon and Other Tales of Mathematical History

This book is a collection of 44 articles on the history of mathematics, published in MAA journals over the past 100 years. Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, it chronicles the enormous changes...

 Protecting Information

For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum co...

 Mathematically Speaking A Dictionary of Quotations

Mathematically Speaking has, for the first time, brought together in one easily accessible form the best expressed thoughts that are especially illuminating and pertinent to the discipline of Mathematics. Some of the quotes are profound, others are wise, ...

 Mathematics of Games and Gambling

This book introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, craps, blackjack, keno), some social games (bac...

 First Steps for Math Olympians Using the American Mathematics Competitions

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions (AMC) have been given for more than fifty years to millions of high school students. This book consider...

 Number Theory An approach through history from Hammurapi to Legendre

Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. It is no coincidence that the fundamental science of numbers has come to be known as the "Queen of Mathematic...

 The universality of the radon transform

Written by a leading scholar in mathematics, this monograph discusses the Radon transform. This topic has wide ranging applications, in particular X-ray technology, partial differential equations, nuclear magnetic resonance scanning, and tomography. Read...

 The Linear Algebra a Beginning Graduate Student Ought to Know

Linear algebra is a living, active branch of mathematics which is central to almost all other areas of mathematics, both pure and applied, as well as computer science, the physical and social sciences, and engineering. It entails an extensive corpus of th...

 Simulation and Monte Carlo With applications in finance and MCMC

Simulation and Monte Carlo is aimed at students studying for degrees in Mathematics, Statistics, Financial Mathematics, Operational Research, Computer Science, and allied subjects, who wish an up-to-date account of the theory and practice of Simulation. ...

 Fixed Income Mathematics Analytical and Statistical Techniques

The standard reference for fixed income portfolio managers Despite their conservative nature, fixed income instruments are among the investment industry's most complex and potentially risky investments. Fixed Income Mathematics is recognized worldwid...

 A Beginner's guide to Graph's theory

Graph theory continues to be one of the fastest growing areas of modern mathematics Second edition includes new chapters, more examples, exercises, hints and solutions to key problems Strikes a balance between a theoretical and practical approach ...

 Finite mathematics an applied approach

Finite Maths is often a required course, taken by students who come with a weak math background and struggle with the subject. Young/Lee's Finite Mathematics: An Applied Approach 3rd Edition is written with these students in mind. Despite the excellent...

 An Introduction to Quantum Computing

Assumes basic background in mathematics and computer science Emphasis on pedagogical presentation of concepts Clear, explanatory diagrams are provided throughout Contains numerous integrated exercises This concise, accessible text provides a tho...

 Discrete Mathematics Using a Computer

Discrete Mathematics Using a Computer offers a new, "hands-on" approach to teaching Discrete Mathematics. Using software that is freely available on Mac, PC and Unix platforms, the functional language Haskell allows students to experiment with mathematica...

 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, ...

 Discrete Mathematics and Its Applications

Discrete Mathematics and its Applications, Sixth Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned b...

 Mathematics of Digital Images Creation, Compression, Restoration, Recognition

Compression, restoration and recognition are three of the key components of digital imaging. The mathematics needed to understand and carry out all these components are explained here in a style that is at once rigorous and practical with many worked exam...

 Public-Key Cryptography Volume 62

This collection of articles grew out of an expository and tutorial conference on public-key cryptography held at the Joint Mathematics Meetings (Baltimore). The book provides an introduction and survey on public-key cryptography for those with consider...

 How to Prove It A Structured Approach

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teac...

 Mathematical Problems in Image Processing Partial Differential Equations and the Calculus of Variations

Partial differential equations and variational methods were introduced into image processing about 15 years ago, and intensive research has been carried out since then. The main goal of this work is to present the variety of image analysis applications an...

 The Oxford Handbook of Philosophy of Mathematics and Logic

Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on math...

 Discrete Mathematics for Computer Science

Discrete Mathematics for Computer Science is the perfect text to combine the fields of mathematics and computer science. Written by leading academics in these fields, the text introduces your students to all of the mathematics they need to know, with the ...

 Complexity and Cryptography An Introduction

Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both co...

 Mathematics for Computer Graphics

Baffled by maths? Then don't give up hope. John Vince will show you how to understand many of the mathematical ideas used in computer animation, virtual reality, CAD, and other areas of computer graphics. In thirteen chapters you will rediscover - a...

 The Limits of Abstraction

Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths....