Journey through genius

Author: William Dunham
Publisher: Egully.com
ISBN: PSU:000023719095
Release Date: 1991-08-01
Genre: Mathematics

A rare combination of the historical, biographical, and mathematicalgenius, this book is a fascinating introduction to a neglected field of human creativity. Dunham places mathematical theorem, along with masterpieces of art, music, and literature and gives them the attention they deserve.

Journey through genius

Author: William Dunham
Publisher: John Wiley & Sons Inc
ISBN: MINN:31951D019412326
Release Date: 1990-03-30
Genre: Biography & Autobiography

Surveys the most enduring ideas in mathematics, looks at how difficult theorems are solved, and offers brief profiles of famous mathematicians

Journey Through Genius

Author: William Dunham
Publisher:
ISBN: LCCN:s89027366
Release Date: 1991
Genre: Mathematicians

Historia de las principales ideas matemáticas y otras disciplinas científicas parejas como la astronomía, al mismo tiempo que se incluyen algunos datos biográficos de los principales matemáticos.

The mathematical universe

Author: William Dunham
Publisher: Wiley
ISBN: MINN:31951D01941238U
Release Date: 1994-08-11
Genre: Mathematics

Travels through mathematical concepts from Arithmetic to Zero to explore the wonders of the Fibonacci series, Russell's Paradox, and the theory of Pythagorus, in a witty and enthusiastic investigation of the great proofs, conundrums, disputes, and solutions in mathematics today.

Euler

Author: William Dunham
Publisher: MAA
ISBN: 0883853280
Release Date: 1999-03-04
Genre: Mathematics

Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.

The Calculus Gallery

Author: William Dunham
Publisher: Princeton University Press
ISBN: 9780691184548
Release Date: 2018-11-13
Genre: Mathematics

More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.

An Introduction to Abstract Mathematics

Author: Robert J. Bond
Publisher: Waveland Press
ISBN: 9781478608059
Release Date: 2007-08-24
Genre: Mathematics

Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.

A History of Mathematics

Author: Carl B. Boyer
Publisher: John Wiley & Sons
ISBN: 9780470630563
Release Date: 2011-01-25
Genre: Mathematics

The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.

Mathematics

Author: Morris Kline
Publisher: Oxford University Press, USA
ISBN: 0195030850
Release Date: 1982
Genre: Mathematics

Refuting the accepted belief that mathematics is exact and infallible, the author examines the development of conflicting concepts of mathematics and their implications for the physical, applied, social, and computer sciences

Math Through the Ages

Author: William P. Berlinghoff
Publisher: MAA
ISBN: 0883857367
Release Date: 2004
Genre: Mathematics

An informal and accessible overview of the history of mathematics.

How to Read Historical Mathematics

Author: Benjamin Wardhaugh
Publisher: Princeton University Press
ISBN: 140083533X
Release Date: 2010-03-01
Genre: Mathematics

Writings by early mathematicians feature language and notations that are quite different from what we're familiar with today. Sourcebooks on the history of mathematics provide some guidance, but what has been lacking is a guide tailored to the needs of readers approaching these writings for the first time. How to Read Historical Mathematics fills this gap by introducing readers to the analytical questions historians ask when deciphering historical texts. Sampling actual writings from the history of mathematics, Benjamin Wardhaugh reveals the questions that will unlock the meaning and significance of a given text--Who wrote it, why, and for whom? What was its author's intended meaning? How did it reach its present form? Is it original or a translation? Why is it important today? Wardhaugh teaches readers to think about what the original text might have looked like, to consider where and when it was written, and to formulate questions of their own. Readers pick up new skills with each chapter, and gain the confidence and analytical sophistication needed to tackle virtually any text in the history of mathematics. Introduces readers to the methods of textual analysis used by historians Uses actual source material as examples Features boxed summaries, discussion questions, and suggestions for further reading Supplements all major sourcebooks in mathematics history Designed for easy reference Ideal for students and teachers

The Genius of Euler

Author: William Dunham
Publisher: MAA
ISBN: 0883855585
Release Date: 2007-03-15
Genre: Mathematics

Celebrating the 300th birthday of Leonhard Euler - collected articles address aspects of Euler's life and work.

The Mathematical Tourist

Author: Ivars Peterson
Publisher: Macmillan
ISBN: 9780805071597
Release Date: 1998-04-15
Genre: Mathematics

A guide to mathematics covers such topics as mathematical proofs, fractals, chaos, prime numbers, four-dimensional geometry, and quasicrystals.

The Language of Mathematics

Author: Keith Devlin
Publisher: Macmillan
ISBN: 0805072543
Release Date: 2000-03-13
Genre: Mathematics

"The great book of nature," said Galileo, "can be read only by those who know the language in which it was written. And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within. Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.