This original monograph investigates several unsolved problems that currently exist in coding theory. A highly relevant branch of mathematical computer science, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite its fairly long history and consistent prominence, the field still contains interesting problems that have resisted solution by some of the most prominent mathematicians of recent decades.Employing SAGE—a free o...

This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible ...

The Venusians, a flamboyant people with a love for art-deco and spandex, face an energy crisis that threatens their luxurious lifestyle.Their solution? Earth's abundant plastic trash. They launch an audacious plan using avatar-teleportation technology to infiltrate Earth and steal plastic.Bevers Sonnof, a hapless but enthusiastic Venusian, neural-hijacks the mind and body of the fearsome El Toro, an enforcer for Victor the Vicious, a Baltimore mob boss. As ...

The Use of Aquatics in Orthopedic and Sports Medicine Rehabilitation and Physical Conditioning is a definitive and scientifically based text on the use and application of aquatic methodologies in both rehabilitation and physical conditioning appropriate for the general population to the elite athlete.The Use of Aquatics in Orthopedic and Sports Medicine Rehabilitation and Physical Conditioning represents a new generation of rehabi...

Differential equations can be taught using Sage as an inventive new approach.David Joyner and Marshall Hampton's lucid textbook explains differential equations using the free and open-source mathematical software Sage.Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice....

Teaching at Scale explores the characteristics and parameters of large-scale online learning by identifying, in its perceived drawbacks, a wealth of educational opportunities in disguise. Scalable learning platforms have exploded in popularity over recent years, with MOOCS (massive open online courses), online degree programs, informal learning communities, and alternative credentials all drawing significant enrollments. But, as many educators are asking, are the challenges to del...

This updated and revised edition of David Joyner’s entertaining “hands-on” tour of group theory and abstract algebra brings life, levity, and practicality to the topics through mathematical toys.Joyner uses permutation puzzles such as the Rubik’s Cube and its variants, the 15 puzzle, the Rainbow Masterball, Merlin’s Machine, the Pyraminx, and the Skewb to explain the basics of introductory algebra and group theory. Subjects covered include the Cayley graphs, symmetries, isomorphism...

Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Written by celebrated mathematician and educator A.A. Kirillov, A Tale of Two Fractals is ...

Algebra Study GuideFEATURES:- Includes both Algebra I and II - Clear and concise explanations - Difficult concepts are explained in simple terms - Illustrated with graphs and diagrams - Search for the words or phrases - Access the guide anytime, anywhere - at home, on the train, in the subway. - Use your down time to prepare for an exam. - Always have the guide available for a quick reference. TABLE OF CONTENTS:Introduction: Simple Operations Exponents and Powers Order of Operations Variab...

Some love stories are bigger than just two people. This one is told by friends, flatmates, exes and strangers - everybody but the main characters.'I laughed, I teared up, I couldn't put it down. This is a love story like no other''This book gave me genuine joy and broke my heart''For fans of Heartburn, David Nicholls, Sally Rooney''A beautifully written, emotionally rich story that surprised me in the best way''These characters ...

From spectator to superstar, that's The Champ! A brilliant new series from number one bestselling author Anh Do.Summer loves sport. She would love to charge down the field towards an open goal, or soar through the air over the basket. She would love to be part of a team. But instead she always seems to be the last one picked.That is until the day her life changes forever… Until the day Summer becomes THE CHAMP.But even the Champ will have her work c...

Your INTEGRAL tool for mastering ADVANCED CALCULUS Interested in going further in calculus but don't where to begin? No problem! With Advanced Calculus Demystified, there's no limit to how much you will learn. Beginning with an overview of functions of multiple variables and their graphs, this book covers the fundamentals, without spending too much time on rigorous proofs. Then you will move through more complex topics including partial derivatives, ...