Found insideToday, zero lies at the heart of one of the biggest scientific controversies of all time: the quest for a theory of everything. Within the concept of zero lies a philosophical and scientific history of humanity. Found inside"...a story of great mathematicians and their achievements, of practical successes and failures, and of human perfidy and generosity...this is one of the still too rare occasions in which mathematicians are shown as frail, flesh-and-blood ... Traces the eccentric life of legendary mathematician Paul Erdos, a wandering genius who fled his native Hungary during the Holocaust and helped devise the mathematical basis of computer science. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in ... This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition. From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. Since the first volume of this work came out in Germany in 1937, this book, together with its first volume, has remained standard in the field. The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought. This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students. A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning. Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. The interlocking lives of two very different and unique men have been brought together for the first time in this combined edition of Constance Reid's two popular books. Found insideUsing a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus ... Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books Integration is treated before differentiation--this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. Found insideThe present book deals with subjects of this category. Found insideCovering the theory of computation, information and communications, the physical aspects of computation, and the physical limits of computers, this text is based on the notes taken by one of its editors, Tony Hey, on a lecture course on ... Found insideWhat followed - the founding and development of one of America's most important centers of applied mathematics, the Courant Institute at New York University - is one of the great success stories of mathematics. Found insideMath Controls Just About Everything Inspire your children with numbers and help bring mathematical explanations to life with this engaging educational book. Found insideThis is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. A retitled and revised edition of Ian Stewart's The Problem of Mathematics, this is the perfect guide to today's mathematics. Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Courant and Friedrich's classical treatise was first published in 1948 and tThe basic research for it took place during World War II. However, many aspects make the book just as interesting as a text and a reference today. Found insideThis book allows students to stretch their mathematical abilities and bridges the gap between school and university. Found insideIn The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Paul Lockhart is the author of Arithmetic, Measurement, and A Mathematician’s Lament. This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet. A companion publication to the international exhibition "Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture", the catalogue explores the working lives and activities of Jewish mathematicians in German-speaking ... Since the dramatic discovery of the mathematical concept of chaos in 1989, the controversy of its contents has settled down. This revised edition of Does God Play Dice? takes a fresh look at its achievements and potential. From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students. A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations. "The book is heavily based on primary archival sources that have not been analyzed before. Many people will profit from its illuminating discussions of the material."--Leo Corry, Tel Aviv University "This is an excellent book. This text motivates the study of the analysis of several variables with examples, observations, exercises, and illustrations. Tries to refine the philosophy of mathematics to reflect what mathematicians really do, and argues that mathematics must be understood in a social context. In the tradition of G.H. Hardy's classic A Mathematician's Apology, this book is sure to be a perennial favorite with students at all levels, as well as with other readers who are curious about the frequently incomprehensible world of ... From the Preface: (...) The book is addressed to students on various levels, to mathematicians, scientists, engineers. This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. A mathematical sightseeing tour of the natural world from the author of THE MAGICAL MAZE Why do many flowers have five or eight petals, but very few six or seven? Each biographical essay was written by a member of the Academy familiar with the professional career of the deceased. 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