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The Calculus of Friendship: What a Teacher and a Student Learned about Life while Corresponding about Math Paperback – March 27, 2011
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The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculus--until a day comes when calculus is no longer enough.
Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters.
For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey.
- Print length184 pages
- LanguageEnglish
- PublisherPrinceton University Press
- Publication dateMarch 27, 2011
- Dimensions5.25 x 0.5 x 8.25 inches
- ISBN-100691150389
- ISBN-13978-0691150383
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Editorial Reviews
Review
"The spring of his freshman year in college, Strogatz began to exchange letters with his high school calculus teacher, Don Joffray. At some point, their amiable correspondence about math problems led to a true friendship. In The Calculus of Friendship, Strogatz weaves their letters into reflections on the philosophical similarities between calculus and human relationships and portrays a friendship firmly founded on a love of dreaming up and solving calculus problems . . . . One can also feel the personality and humor of these pen pals emerging through their symbol-sprinkled sentences." ― Science
"Part biography, part autobiography and part off-the-beaten-path guide to calculus, this quick read details 30 years of correspondence between Strogatz and Joffray. Calculus, Isaac Newton's ingenious invention for modeling change mathematically, serves as both text and subtext for the letters that pass between Strogatz and Joff. Focusing almost exclusively on questions of mathematics, these brief notes frame the unlikely friendship of a teacher and his star student. With the precision of an award-winning mathematician and the clarity of a best-selling science author, Strogatz leads us on an excursion through some of the lesser-known mathematical sights--the ones usually reserved for the 'members only' tour. . . . The mathematics covered in these letters is impressive for such a short volume." ― American Scientist
"There is no better English-language explicator of complex quantitative concepts than Steven Strogatz. His work is a model for how mathematics needs to be popularized."---Michael Schrage, Harvard Business Review
"This story will draw in both the novice and the veteran. Teachers of mathematics will appreciate the long-term effect their teaching can have on students. The included mathematics can be related to both high school and undergraduate calculus sequences to demonstrate some interesting, thought-provoking, and 'big picture' connections to these courses." ― Mathematics Teacher
"[A] beautiful book, bound to become a classic in the mathematical literature. . . . Like Hardy's A Mathematician's Apology, you don not have to know any mathematics whatsoever to read this book. It is a candid and all-too-human story told with brutal honesty, warts and all, sharing with the reader the elation and sincere regrets bound up in the relationship--but in the end, the victories, too. With some beautiful mathematics throughout!"---Lawrence S. Braden, Notices of the American Mathematical Society
"You wouldn't guess it from the title, but The Calculus of Friendship is a genuine tearjerker. I defy anyone to follow the correspondence between mathematician Steven Strogatz and his high school teacher Don Joffray (affectionately nicknamed 'Joff') without getting just a little lachrymose. If you don't, check to see if there is a heart in your chest. If there is, ensure that it's not just a cold slab of stone." ― Bookslut
"The story of the correspondence between these two men is at once charming and subtly powerful. Strogatz writes directly and honestly, telling the story of a slow-growing friendship that was at once somewhat stilted and yet deep and sustaining. The immediacy and intimacy of Strogatz's writing transform the pleasures and tragedies of normal life into the elements of a compelling narrative, and because the book works so well on this human level, it also very effective in presenting some important lessons about education and about mathematics." ― Mathrecreation blog
Review
"The Calculus of Friendship is an intriguing journey that casts mathematics in a most unusual light. Through thirty years of correspondence between student and teacher, we enter a private world where the rigors of logic are the last defense against the vagaries of life."―Brian Greene, author of The Elegant Universe
"In this delightfully inspired account of a thirty-year correspondence, two mathematicians discover even deeper things than theorems that are fundamental. A math book for the mind and for the heart."―Larry Zimmerman, winner of the 1986 Presidential Award for Excellence in Mathematics Teaching
"Steven Strogatz has written an unpretentious, charming, original, and inspiring book. In a disarmingly personal depiction, Strogatz leads us through a story of friendship between understated mentor and virtuosic student. The mathematical excursions are as much a pleasure to read as the moving narrative of the unusual friendship that the mathematics inspires."―Janna Levin, author of A Madman Dreams of Turing Machines
"It is unusual for mathematicians to write in such personal terms and with such candor. Readers with any mathematical background will find this book intriguing and fascinating."―John Adam, coauthor of Guesstimation
"The gentle but unremittingly honest account of this friendship utterly absorbed me. Also, some of the calculus is hilarious."―John Cleese
"Containing many mathematical morsels, this decades-long correspondence tells the story of a very special student-teacher relationship. These men have taught each other more than they could ever have envisioned."―Adrian Banner, author of The Calculus Lifesaver
"Mathematics speaks to the transcendental, as does this extraordinary friendship. A beautiful book!"―James Tanton, founding director of the St. Mark's Institute of Mathematics
"This is a lovely book. Strogatz succeeds in producing a sincere tribute to teachers, and he emphasizes in a direct way the human element of mathematics."―Barry Cipra, author of Misteaks...and How to Find Them before the Teacher Does: A Calculus Supplement
From the Back Cover
"As these two men find truer, deeper friendship through an exchange of letters on math, you may be surprised to find yourself, as I was, moved by powerful emotions. I never thought I'd get choked up by an equation--but these guys are plotting out the hardest kind of change to track: the movement from Me to Us."--Alan Alda
"The Calculus of Friendship is an intriguing journey that casts mathematics in a most unusual light. Through thirty years of correspondence between student and teacher, we enter a private world where the rigors of logic are the last defense against the vagaries of life."--Brian Greene, author of The Elegant Universe
"In this delightfully inspired account of a thirty-year correspondence, two mathematicians discover even deeper things than theorems that are fundamental. A math book for the mind and for the heart."--Larry Zimmerman, winner of the 1986 Presidential Award for Excellence in Mathematics Teaching
"Steven Strogatz has written an unpretentious, charming, original, and inspiring book. In a disarmingly personal depiction, Strogatz leads us through a story of friendship between understated mentor and virtuosic student. The mathematical excursions are as much a pleasure to read as the moving narrative of the unusual friendship that the mathematics inspires."--Janna Levin, author of A Madman Dreams of Turing Machines
"It is unusual for mathematicians to write in such personal terms and with such candor. Readers with any mathematical background will find this book intriguing and fascinating."--John Adam, coauthor of Guesstimation
"The gentle but unremittingly honest account of this friendship utterly absorbed me. Also, some of the calculus is hilarious."--John Cleese
"Containing many mathematical morsels, this decades-long correspondence tells the story of a very special student-teacher relationship. These men have taught each other more than they could ever have envisioned."--Adrian Banner, author of The Calculus Lifesaver
"Mathematics speaks to the transcendental, as does this extraordinary friendship. A beautiful book!"--James Tanton, founding director of the St. Mark's Institute of Mathematics
"This is a lovely book. Strogatz succeeds in producing a sincere tribute to teachers, and he emphasizes in a direct way the human element of mathematics."--Barry Cipra, author of Misteaks...and How to Find Them before the Teacher Does: A Calculus Supplement
About the Author
Product details
- Publisher : Princeton University Press; Reprint edition (March 27, 2011)
- Language : English
- Paperback : 184 pages
- ISBN-10 : 0691150389
- ISBN-13 : 978-0691150383
- Item Weight : 8.8 ounces
- Dimensions : 5.25 x 0.5 x 8.25 inches
- Best Sellers Rank: #1,124,145 in Books (See Top 100 in Books)
- #940 in Calculus (Books)
- #2,208 in Scientist Biographies
- #32,571 in Memoirs (Books)
- Customer Reviews:
About the author

STEVEN STROGATZ is the Winokur Distinguished Professor for the Public Understanding of Science and Mathematics at Cornell University. A renowned teacher and one of the world’s most highly cited mathematicians, he has blogged about math for the New York Times and The New Yorker and has been a frequent guest on Radiolab and Science Friday. He lives in Ithaca, New York.
Customer reviews
Customer Reviews, including Product Star Ratings help customers to learn more about the product and decide whether it is the right product for them.
To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average. Instead, our system considers things like how recent a review is and if the reviewer bought the item on Amazon. It also analyzed reviews to verify trustworthiness.
Learn more how customers reviews work on AmazonCustomers say
Customers find the story poignant, special, and evolving. They also describe the writing quality as amazing, interesting, and easy to follow. Readers also mention the math is interesting and well explained.
AI-generated from the text of customer reviews
Customers find the story poignant, special, and evolving.
"...It's a beautiful, poignant story of the intense, special, and evolving relationship between student & teacher...." Read more
"...inclined whatsoever, I skipped over all the math, and found it a touching story. For those interested in the math too, it will be a double treat." Read more
"...picture of Joff the man & Joff the teacher, and also weaves a compelling story about the enduring friendship between two math geeks..." Read more
"...The student and teacher have some very powerful moments and it's just a really great story...." Read more
Customers find the writing quality amazing, well explained, and touching. They also say the book successfully combines math and memoir.
"...It is also an amazing writing accomplishment that successfully combines math and memoir...." Read more
"...Also, the math in the book is very interesting and well explained, if I could give if more than five stars I would." Read more
"A touching collection of letters between a high school math teacher and a former student which explores the role of mentoring over many decades...." Read more
"...Very well-written." Read more
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Top reviews
Top reviews from the United States
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through the most complicated calculus problems since I did not understand one damn thing about them! No wonder
I didn't major in Math!
Top reviews from other countries
Aunque me pareció que estos temas se trataron en forma breve. Me hubiera gustado que se hubieran tratado un poco más. Me pareció que se terminó muy rápido. Me quedé ganas de más.
Está más o menos el libro.




