The Handbook of Cubic Math unveils the theory involved in Rubik's Cube's solution, the potential applications of that theory to other similar puzzles, and how the cube provides a physical example for many concepts in mathematics where such examples are difficult to find. Nonetheless, the authors have been able to cover and explain these topics in a way which is easily understandable to the layman, suitable for a junior-high-school or high-school course in math, and appropriate for a colleg...

David Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational ...

'The collection contains many delightful and enjoyable problems that are either original or taken from old books, which are no longer easily accessible. I especially like the detailed solutions, which make it clear that the author has carefully re-examined all the old problems and often discovered that the previously published solutions were incomplete. Some problems are best solved with the help of a computer, and can serve as original exercises in computer programming. The book provides ...

An essential outline of basic algebraic equations, formulas, properties and operations. This guide includes: properties of real numbers, operations of complex numbers and much more!

A tenth anniversary edition of the iconic book about the wonderful world of mathsSunday Times bestseller | Shortlisted for the BBC Samuel Johnson Prize'Original and highly entertaining' Sunday Times'A page turner about humanity's strange, never easy and, above all, never dull relationship with numbers' New Scientist'Will leave you hooked on n...

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical p...

Developed during ten years of teaching experience, this book serves as a set of lecture notes for an introductory course on numerical computation, at the senior undergraduate level. These notes contain the material that can be covered in a semester, together with a few optional sections for additional reading. Rather than surveying a large number of algorithms, the book presents the most important computational methods and emphasizes the underlying mathematical ideas. In most chapters, gra...

Why did Florence Nightingale introduce pie charts? How did Lewis Carroll regard Pythagoras? Who learned calculus from her nursery wallpaper?Spanning from the ancient world to the modern age, The Great Mathematicians tells fascinating and unusual tales of the men and women who transformed mathematics. We meet the mathematician who knew eight languages by the time he was 11, the one who was sent to jail for gambling and the one who published a lot yet never ...

Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance ...

This "fantastic revisionist history . . . captures the excitement of the scientific revolution and makes a point of celebrating the advances it ushered in" ( Financial Times).We live in a world transformed by scientific discovery. In The Invention of Science, historian David Wootton reveals why the Scientific Revolution was truly the greatest event in our history. Spanning continents and centuries, Wootton chronicles the factors that led to this cr...

An indispensable companion to the book hailed an "expository masterpiece of the highest didactic value" by Zentralblatt MATHThis solutions manual helps readers test and reinforce the understanding of the principles and real-world applications of abstract algebra gained from their reading of the critically acclaimed Introduction to Abstract Algebra. Ideal for students, as well as engineers, computer scientists, and applied mathematicians interested in the subject, i...

"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject."– Ed Witten, Recipient of the Fields Medal"I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accompl...