Henry Carter Hull

Geared toward upper-level undergraduates and graduate students, this elementary introduction to classical umbral calculus requires only an acquaintance with the basic notions of algebra and a bit of applied mathematics (such as differential equations) to help put the theory in mathematical perspective. The text focuses on classical umbral calculus, which dates back to the 1850s and continues to receive the attention of modern mathematicians. Subjects...

Many people suffer from an inferiority complex where mathematics is concerned, regarding figures and equations with a fear based on bewilderment and inexperience. This book dispels some of the subject's alarming aspects, starting at the very beginning and assuming no mathematical education. Written in a witty and engaging style, the text contains an illustrative example for every point, as well as absorbing glimpses into mathematical history and philosophy....

Introducing sophisticated mathematical ideas like fractals and infinity, these hands-on activity books present concepts to children using interactive and comprehensible methods. With intriguing projects that cover a wide range of math content and skills, these are ideal resources for elementary school mathematics enrichment programs, regular classroom instruction, and home-school programs. Reproducible activity sheets lead students through a process...

A fine example of a great mathematician's intellect and mathematical style, this classic on linear algebra is widely cited in the literature. The treatment is an ideal supplement to many traditional linear algebra texts and is accessible to undergraduates with some background in algebra. "This is a classic but still useful introduction to modern linear algebra. It is primarily about linear transformations ... It's also extremely well-written and logical,...

A concise monograph by two Russian experts provides an account of the operational calculus in two variables based on the two-dimensional Laplace transform. Suitable for advanced undergraduates and graduate students in mathematics, the treatment requires some familiarity with operational calculus in one variable. Part One of the two-part approach presents the fundamental theory in two chapters, examining the two-dimensional Laplace transform and offering...

From addition and subtraction to plane and space geometry, simultaneous linear equations, and probability, this book explains middle school math with problems that kids want to solve: "Seventy-five employees of a company buy a lotto ticket together and win $22.5 million. How much does each employee get?-Intriguing facts about the history of math show what a human creation it is, and human errors are revealed through explorations of both Maya and Hindu...

On the required reading list for all thoughtful students who wish to see mathematics from the 'higher standpoint.' -- American Mathematical Monthly Elegant and original, this exposition explores the foundations and development of both Euclidean and non-Euclidean geometry, particularly the postulational geometry of planes. Emphasis is placed upon the coordination of affine and projective planes as well as the basic unity of algebra and geometry. Geared...

This is a beautiful, important book, a pleasure to read, in which the history recounted truly illuminates the mathematical ideas, and the ideas themselves are superbly explained; a wonderful accomplishment. -- Barry Mazur, Harvard University " Math Through the Ages is a treasure, one of the best history of math books at its level ever written. Somehow, it manages to stay true to a surprisingly sophisticated story, while respecting the needs of its...