The Calculus Gallery: Masterpieces from Newton to Lebesgue

4.35 avg rating
( 93 ratings by Goodreads )
 
9780691136264: The Calculus Gallery: Masterpieces from Newton to Lebesgue

More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into 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--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. "Students of literature read Shakespeare; students of music listen to Bach," he writes. But this tradition of studying the major works of the "masters" is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.


Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original "category theorem" (1899). Collectively, these selections document 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, most subtle problems imaginable.


Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.

"synopsis" may belong to another edition of this title.

From the Back Cover:

"The Calculus Gallery is one of the best efforts at mathematical exposition I have ever read! Dunham presents in detail and in his own words the sequence of ideas of classical giants of mathematics, but each new idea is described in modern terms and notation, so I had absolutely no trouble following along. Furthermore--and this is an astounding achievement--the entire work has a tightly woven development. If it were a detective story I would say it had a plot with no loose ends. An amazing feat. I wish I could plan a single lecture, never mind a course or a book, that well!"--Henry Pollak, Teachers College, Columbia University

"What a fine resource! All of the famous functions that have shaped calculus and analysis parade before the reader in the original words of their creators. Bill Dunham has produced an excellent volume that teachers and students will enjoy and appreciate."--Thomas Banchoff, Brown University

"Bill Dunham has done it again. The Calculus Gallery is a masterly journey through the works of thirteen mathematicians who formulated, formalised, and reformed the calculus into the modern analysis we learn today. Readers of his earlier books have learned to expect a clarity of exposition that few others can attain: they will not be disappointed."--Robin Wilson, author of Four Colors Suffice

"This is an excellent book--an amazing mathematical page-turner. William Dunham has done the seemingly impossible: he has taken some difficult, advanced mathematics and, without sacrificing the technical details, written a lively, readable book about it."--Barry Cipra, author of Misteaks . . . and How to Find Them Before the Teacher Does

"Pedagogically excellent and extremely well written, The Calculus Gallery bridges the gap between general histories and detailed studies of individual mathematicians. Dunham has described mathematical developments in an engaging style rarely found in literature of this kind."--Annette Imhausen, Trinity Hall, Cambridge

"A welcome addition to the literature. The idea of presenting a 'museum of mathematics' is new. It allows the author to present a nonstandard selection of theorems, so that even mathematicians with a strong historical background will learn a few things."--Franz Lemmermeyer, Bilkent University, author of Reciprocity Laws: From Euler to Eisenstein

About the Author:

William Dunham, Koehler Professor of Mathematics at Muhlenberg College, is the author of Journey Through Genius: The Great Theorems of Mathematics; The Mathematical Universe; and Euler: The Master of Us All. He has received the Mathematical Association of America's George Pólya, Trevor Evans, and Lester R. Ford awards, as well as its Beckenbach Prize for expository writing.

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Dunham, William
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Quantity Available: 1
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description 2008. PAP. Book Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # IB-9780691136264

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 22.45
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

William Dunham
Published by Princeton University Press, United States (2008)
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Paperback Quantity Available: 1
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Princeton University Press, United States, 2008. Paperback. Book Condition: New. Language: English . Brand New Book. More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into 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--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation. Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli s early attack upon the harmonic series (1689), Euler s brilliant approximation of pi (1779), Cauchy s classic proof of the fundamental theorem of calculus (1823), Weierstrass s mind-boggling counterexample (1872), and Baire s original category theorem (1899). Collectively, these selections document 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, most subtle problems imaginable. Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be. Bookseller Inventory # AAZ9780691136264

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 26.50
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

3.

William Dunham
Published by Princeton University Press, United States (2008)
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Paperback Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Princeton University Press, United States, 2008. Paperback. Book Condition: New. Language: English . Brand New Book. More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into 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--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation. Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli s early attack upon the harmonic series (1689), Euler s brilliant approximation of pi (1779), Cauchy s classic proof of the fundamental theorem of calculus (1823), Weierstrass s mind-boggling counterexample (1872), and Baire s original category theorem (1899). Collectively, these selections document 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, most subtle problems imaginable. Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be. Bookseller Inventory # AAZ9780691136264

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 27.35
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Dunham, William
Published by Princeton University Press (2008)
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Quantity Available: 18
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Princeton University Press, 2008. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # WP-9780691136264

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 20.65
Convert Currency

Add to Basket

Shipping: US$ 11.88
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Dunham, William
Published by Princeton University Press (2008)
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Paperback Quantity Available: 1
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2008. Paperback. Book Condition: New. Never used!. Bookseller Inventory # 0691136262

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 30.86
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

6.

William Dunham
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Quantity Available: 5
Seller:
ReadWhiz
(Portland, OR, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # ria9780691136264_ing

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 32.95
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

7.

William Dunham
Published by Princeton University Press, United States (2008)
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Paperback Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Princeton University Press, United States, 2008. Paperback. Book Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into 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--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation. Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli s early attack upon the harmonic series (1689), Euler s brilliant approximation of pi (1779), Cauchy s classic proof of the fundamental theorem of calculus (1823), Weierstrass s mind-boggling counterexample (1872), and Baire s original category theorem (1899). Collectively, these selections document 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, most subtle problems imaginable. Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be. Bookseller Inventory # BTE9780691136264

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 32.99
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

William Dunham
Published by Princeton University Press (2008)
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Paperback First Edition Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Princeton University Press, 2008. Paperback. Book Condition: New. book. Bookseller Inventory # M0691136262

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 33.58
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

9.

William Dunham
Published by Princeton University Press 2008-05-30, Princeton, N.J. |Oxford (2008)
ISBN 10: 0691136262 ISBN 13: 9780691136264
New paperback Quantity Available: 5
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description Princeton University Press 2008-05-30, Princeton, N.J. |Oxford, 2008. paperback. Book Condition: New. Bookseller Inventory # 9780691136264

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 26.18
Convert Currency

Add to Basket

Shipping: US$ 7.92
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

William Dunham
ISBN 10: 0691136262 ISBN 13: 9780691136264
New Quantity Available: 1
Seller:
Speedy Hen LLC
(Sunrise, FL, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # ST0691136262. Bookseller Inventory # ST0691136262

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 34.22
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book