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The zombie apocalypse could occur at any time. The best weapon? Braaaiiinnnsss! The apocalypse survival kit includes such essentials as: mathematical models; differential equations; individual-based modelling; zombie swarming; statistical estimation; fuzzy decision-making; network theory; discrete-time models; spatial diffusion of the undead; and adaptive strategies for zombie attacks. Chapters also look at how modelling can advise government policy, how theoretical results can be communicated to a non-mathematical audience and how models can be formulated with only limited information. Robert Smith? also develops a mathematical model to track the viral spread of the story of his original math paper through the media. Oh, and it features a foreword by Andrew Cartmel, former script editor of Doctor Who, author, zombie fan and all-round famous person in science-fiction circles.
By understanding how to combat zombies, readers will see an introduction to a wide variety of modelling techniques, which are applicable to other real-world issues (such as diseases and ecology), but which engage the imagination. The aim of this collection is to illustrate the power of mathematical modelling using the fun hook of zombies.
This magisterial annotated bibliography of the earliest mathematical works to be printed in the New World challenges long-held assumptions about the earliest examples of American mathematical endeavor. Bruce Stanley Burdick brings together mathematical writings from Mexico, Lima, and the English colonies of Massachusetts, Pennsylvania, and New York. The book provides important information such as author, printer, place of publication, and location of original copies of each of the works discussed. Burdick’s exhaustive research has unearthed numerous examples of books not previously cataloged as mathematical. While it was thought that no mathematical writings in English were printed in the Americas before 1703, Burdick gives scholars one of their first chances to discover Jacob Taylor’s 1697 Tenebrae, a treatise on solving triangles and other figures using basic trigonometry. He also goes beyond the English language to discuss works in Spanish and Latin, such as Alonso de la Vera Cruz's 1554 logic text, the Recognitio Summularum; a book on astrology by Enrico Martínez; books on the nature of comets by Carlos de Sigüenza y Góngora and Eusebio Francisco Kino; and a 1676 almanac by Feliciana Ruiz, the first woman to produce a mathematical work in the Americas. Those fascinated by mathematics, its history, and its culture will note with interest that many of these works, including all of the earliest ones, are from Mexico, not from what is now the United States. As such, the book will challenge us to rethink the history of mathematics on the American continents.
In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
Eigenvalue and Singular Value Methods
The general properties and mathematical structures of semiseparable matrices were presented in volume 1 of Matrix Computations and Semiseparable Matrices. In volume 2, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi discuss the theory of structured eigenvalue and singular value computations for semiseparable matrices. These matrices have hidden properties that allow the development of efficient methods and algorithms to accurately compute the matrix eigenvalues. This thorough analysis of semiseparable matrices explains their theoretical underpinnings and contains a wealth of information on implementing them in practice. Many of the routines featured are coded in Matlab and can be downloaded from the Web for further exploration.
What makes mathematicians tick? How do their minds process formulas and concepts that, for most of the rest of the world’s population, remain mysterious and beyond comprehension? Is there a connection between mathematical creativity and mental illness? In The Mind of the Mathematician, internationally famous mathematician Ioan James and accomplished psychiatrist Michael Fitzgerald look at the complex world of mathematics and the mind. Together they explore the behavior and personality traits that tend to fit the profile of a mathematician. They discuss mathematics and the arts, savants, gender and mathematical ability, and the impact of autism, personality disorders, and mood disorders. These topics, together with a succinct analysis of some of the great mathematical personalities of the past three centuries, combine to form an eclectic and fascinating blend of story and scientific inquiry.
Notions fondamentales de la théorie des probabilités - Probabilité conditionnelle et espérance conditionnelle - La théorie de la décision - La gestion des stocks - Chaînes de Markov - Distribution stationnaire d'une chaîne de Markov - Processus de décision markoviens - Loi exponentielle et processus de Poisson - Processus de renouvellement - Files d'attente - Temps d'arrêt optimal sur une chaîne de Markov - La simulation.
A Comprehensive Dictionary of Latin, Greek, and Arabic Roots
Do you ever wonder about the origins of mathematical terms such as ergodic, biholomorphic, and strophoid? Here Anthony Lo Bello explains the roots of these and better-known words like asymmetric, gradient, and average. He provides Greek, Latin, and Arabic text in its original form to enhance each explanation. This sophisticated, one-of-a-kind reference for mathematicians and word lovers is based on decades of the author's painstaking research and work. Origins of Mathematical Words supplies definitions for words such as conchoids (a shell-shaped curve derived from the Greek noun for "mussel") and zenith (Arabic for "way overhead"), as well as approximation (from the Latin proximus, meaning "nearest"). These and hundreds of other terms wait to be discovered within the pages of this mathematical and etymological treasure chest.
Bien qu’un grand nombre d’habiles mathématiciens soient actifs dans le champ grandissant de la biologie mathématique, peu d’entre eux s’intéressent à la botanique. Le Professeur Jean s’est donné pour but d’inciter un plus grand nombre de mathématiciens à se tourner vers la botanique comme source intéressante de problèmes d’un domaine mûr pour le développement mathématique. Pour cela, il a écrit cette excellente introduction à la botanique mathématique.