The Foundations of Mathematics presents the lives and accomplishments of 10 mathematicians who lived between CE 1800 and 1900 and contributed to one or more of the four major initiatives that characterized the rapid growth of mathematics during the 19th century: the introduction of rigor, the investigation of the structure of mathematical systems, the development of new branche...(展开全部)

PREFACE TO THE FIRST EDITION This book is intended for readers in transition from school mathematics to the fully-fledged type of thinking used by professional mathematicians. It should prove useful to first-year students in universities and colleges, and to advanced students in school contemplating further study in pure mathematics. It should also be of interest to a wider cla...(展开全部)

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used...(展开全部)

Practical Foundations of Mathematics explains the basis of mathematical reasoning both in pure mathematics itself (algebra and topology in particular) and in computer science. In addition to the formal logic, this volume examines the relationship between computer languages and "plain English" mathematical proofs. The book introduces the reader to discrete mathematics, reasoning...(展开全部)

Modern Mathematics: 1900 to 1950 provides an eye-opening introduction to five historic 20th-century decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of ...(展开全部)

In a series of one hundred maps, Franco Moretti explores the fictionalization of geography in the nineteenth-century novel. Balzac's Paris, Dickens's London and Scott's Scottish Lowlands are mapped, alongside the territories of Spanish picaresque novels, African colonial romances and Russian novels of ideas, in a path-breaking study which suggests that space may well be the sec...(展开全部)

In a series of one hundred maps, Franco Moretti explores the fictionalization of geography in the nineteenth-century novel. Balzac's Paris, Dickens's London and Scott's Scottish Lowlands are mapped, alongside the territories of Spanish picaresque novels, African colonial romances and Russian novels of ideas, in a path-breaking study which suggests that space may well be the sec...(展开全部)

What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen: we learn, for example, how the béchamel in a lasagna can be a lot like the number 5, and why ...(展开全部)