Download the calculus gallery masterpieces from newton to lebesgue in pdf or read the calculus gallery masterpieces from newton to lebesgue in pdf online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get the calculus gallery masterpieces from newton to lebesgue in pdf book now. This site is like a library, Use search box in the widget to get ebook that you want.



The Calculus Gallery

Author: William Dunham
Publisher: Princeton University Press
ISBN: 0691184542
Size: 71.13 MB
Format: PDF, Mobi
View: 4039
Download and Read
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.

Euler

Author: William Dunham
Publisher: MAA
ISBN: 9780883853283
Size: 56.30 MB
Format: PDF, Kindle
View: 5136
Download and Read
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.

How To Read Historical Mathematics

Author: Benjamin Wardhaugh
Publisher: Princeton University Press
ISBN: 9781400835331
Size: 55.47 MB
Format: PDF, ePub, Mobi
View: 5715
Download and Read
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

Journey Through Genius

Author: William Dunham
Publisher: Egully.com
ISBN:
Size: 14.22 MB
Format: PDF, Mobi
View: 2777
Download and Read
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.

Count Like An Egyptian

Author: David Reimer
Publisher: Princeton University Press
ISBN: 1400851416
Size: 80.95 MB
Format: PDF, Kindle
View: 3057
Download and Read
The mathematics of ancient Egypt was fundamentally different from our math today. Contrary to what people might think, it wasn't a primitive forerunner of modern mathematics. In fact, it can’t be understood using our current computational methods. Count Like an Egyptian provides a fun, hands-on introduction to the intuitive and often-surprising art of ancient Egyptian math. David Reimer guides you step-by-step through addition, subtraction, multiplication, and more. He even shows you how fractions and decimals may have been calculated—they technically didn’t exist in the land of the pharaohs. You’ll be counting like an Egyptian in no time, and along the way you’ll learn firsthand how mathematics is an expression of the culture that uses it, and why there’s more to math than rote memorization and bewildering abstraction. Reimer takes you on a lively and entertaining tour of the ancient Egyptian world, providing rich historical details and amusing anecdotes as he presents a host of mathematical problems drawn from different eras of the Egyptian past. Each of these problems is like a tantalizing puzzle, often with a beautiful and elegant solution. As you solve them, you’ll be immersed in many facets of Egyptian life, from hieroglyphs and pyramid building to agriculture, religion, and even bread baking and beer brewing. Fully illustrated in color throughout, Count Like an Egyptian also teaches you some Babylonian computation—the precursor to our modern system—and compares ancient Egyptian mathematics to today’s math, letting you decide for yourself which is better.

The Genius Of Euler

Author: William Dunham
Publisher: MAA
ISBN: 9780883855584
Size: 72.10 MB
Format: PDF, Mobi
View: 4458
Download and Read
Celebrating the 300th birthday of Leonhard Euler - collected articles address aspects of Euler's life and work.

Everyday Calculus

Author: Oscar E. Fernandez
Publisher: Princeton University Press
ISBN: 1400885663
Size: 35.53 MB
Format: PDF, ePub
View: 1136
Download and Read
Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.

The Mathematical Universe

Author: William Dunham
Publisher: Wiley
ISBN:
Size: 19.62 MB
Format: PDF
View: 3624
Download and Read
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.

Differential Games

Author: Rufus Isaacs
Publisher: Courier Corporation
ISBN: 0486135985
Size: 60.23 MB
Format: PDF, Docs
View: 4246
Download and Read
Definitive work draws on game theory, calculus of variations, and control theory to solve an array of problems: military, pursuit and evasion, athletic contests, many more. Detailed examples, formal calculations. 1965 edition.

Elementary Analysis

Author: Kenneth A. Ross
Publisher: Springer Science & Business Media
ISBN: 1461462711
Size: 38.69 MB
Format: PDF, Mobi
View: 1078
Download and Read
For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.