Princeton University Press’s #NewBooks for this week

Books released during the week of October 6, 2014
The <i>Bhagavad Gita</i>: A Biography<br>Richard H. Davis The Bhagavad Gita:
A Biography
Richard H. Davis


“This is an exciting book about an exciting book, namely, the Bhagavad Gita, a text in which Hinduism comes closest to possessing a universal scripture. Davis traces the varying course of its semantic trajectory through history with erudite clarity. A must-read for anyone interested in the Gita.”–Arvind Sharma, author of Gandhi: A Spiritual Biography
Biomolecular Feedback Systems<br>Domitilla Del Vecchio & Richard M. Murray Biomolecular Feedback Systems
Domitilla Del Vecchio & Richard M. Murray


“This is an excellent compendium of the most important techniques and results in the application of feedback and control to biomolecular systems. Biomolecular Feedback Systems is very timely, and a must-read for students and researchers.”–Ernesto Estrada, University of Strathclyde
Birds of New Guinea: Second Edition<br>Thane K. Pratt & Bruce M. Beehler<br>Illustrated by John C. Anderton & Szabolcs Kókay Birds of New Guinea:
Second Edition
Thane K. Pratt & Bruce M. Beehler
Illustrated by John C. Anderton & Szabolcs Kókay


Praise for the first edition:”This book is not only indispensable to any bird-watcher visiting New Guinea and the adjacent islands, but, owing to the wealth of its information, it will be of great interest to anyone who is seriously interested in birds.”–American Scientist
Birds of Western Africa: Second Edition<br>Nik Borrow & Ron Demey Birds of Western Africa:
Second Edition
Nik Borrow & Ron Demey


Praise for the first edition:”Invaluable for serious birders and scientists working in or visiting the area. It would also make an excellent addition to a collection of field guides for home or office use.”–Condor
The Birth of Hedonism: The Cyrenaic Philosophers and Pleasure as a Way of Life<br>Kurt Lampe The Birth of Hedonism:
The Cyrenaic Philosophers and Pleasure as a Way of Life
Kurt Lampe


“The Cyrenaics were the earliest philosophical hedonists. Evidence for their views is limited, but Kurt Lampe combines expert historical scholarship and imaginative sympathy to offer a compelling account of what they believed, what it might have been like to inhabit their worldview, and why it matters today. His itinerary takes him in the end to Walter Pater, who offered late Victorians the profound experience and attractions of a ‘new Cyrenaicism.’ This is a learned and important book, in which Lampe, like Pater, brings aspects of a lost Greek philosophical past to life.”–Charles Martindale, University of Bristol and University of York
Change They Can't Believe In: The Tea Party and Reactionary Politics in America<br>Christopher S. Parker & Matt A. Barreto<br>With a new afterword by the authors Change They Can’t Believe In:
The Tea Party and Reactionary Politics in America
Christopher S. Parker & Matt A. Barreto
With a new afterword by the authors


“A scathing analysis of the Tea Party movement, linking it in spirit to the Ku Klux Klan and the John Birch Society. Taking today’s conservative populists to be dangerous and their ideas self-incriminating, the authors speculate that Tea Party supporters may perceive of social change as subversion. Based on research and interviews, they suggest racism, desire for social dominance . . . drives the Tea Party.”–Publishers Weekly
The Fourth Pig<br>Naomi Mitchison<br>With a new introduction by Marina Warner The Fourth Pig
Naomi Mitchison
With a new introduction by Marina Warner


“At her best, Naomi Mitchison is forthright and witty, writes with brio and passion and lucidity, and conveys a huge appetite for life, for people, for new adventures, and for breaking through barriers.”–From the introduction by Marina Warner
Genealogy of the Tragic: Greek Tragedy and German Philosophy<br>Joshua Billings Genealogy of the Tragic:
Greek Tragedy and German Philosophy
Joshua Billings


“There is no body of work as important for understanding the idea of the tragic as German Idealism, which fundamentally changed modernity’s notions of tragedy. I can think of no better guide to these formidable writings than Joshua Billings, who takes the reader through them with clarity, deep knowledge, and revelatory exposition. A great achievement, this is a book that scholars and students of tragedy have needed for years.”–Simon Goldhill, University of Cambridge
The Great Rebalancing: Trade, Conflict, and the Perilous Road Ahead for the World Economy<br>Michael Pettis<br>With a new preface by the author The Great Rebalancing:
Trade, Conflict, and the Perilous Road Ahead for the World Economy
Michael Pettis
With a new preface by the author


“[Michael Pettis is] a brilliant economic thinker.”–Edward Chancellor, Wall Street Journal
How to Solve It: A New Aspect of Mathematical Method<br>G. Polya<br>With a foreword by John Conway How to Solve It:
A New Aspect of Mathematical Method
G. Polya
With a foreword by John Conway


“Every prospective teacher should read it. In particular, graduate students will find it invaluable. The traditional mathematics professor who reads a paper before one of the Mathematical Societies might also learn something from the book: ‘He writes a, he says b, he means c; but it should be d.’”–E. T. Bell, Mathematical Monthly
Inheriting Abraham: The Legacy of the Patriarch in Judaism, Christianity, and Islam<br>Jon D. Levenson Inheriting Abraham:
The Legacy of the Patriarch in Judaism, Christianity, and Islam
Jon D. Levenson


“[T]he figure of Abraham has more often been a battleground than a meeting place. This is the brilliantly elaborated theme of Levenson’s book, which retells the Abraham story while examining the use made of Abraham in later Jewish, Christian, and (to a lesser extent) Muslim thought.”–Adam Kirsch, New York Review of Books
Latino Catholicism: Transformation in America's Largest Church<br>Timothy Matovina Latino Catholicism:
Transformation in America’s Largest Church
Timothy Matovina

“Matovina gives a detailed examination of the different pastoral approaches that have been adopted to deal with the influx of Latino immigrants, with some advocating the need to assimilate quickly to American ways and others preferring to focus on preserving the religious and cultural heritage that the immigrants have brought with them. . . . Matovina’s book should be mandatory reading for all bishops, clergy, and lay leaders, and for anyone else who wants to understand the future of American Catholicism.”–Michael Sean Winters, New Republic
The Life of Roman Republicanism<br>Joy Connolly The Life of Roman Republicanism
Joy Connolly


“As a demonstration of how reading Roman literature becomes absorbing political argument, this book succeeds brilliantly. Joy Connolly possesses a keen mind and her approach is informed by an astonishing stock of contemporary intellectual perspectives. She is also a deeply imaginative reader with a gift for explaining complex ideas lucidly and compellingly. I learned a great deal from this book: about Hannah Arendt and Philip Pettit as well as about Cicero, Sallust, and Horace.”—Andrew Feldherr, Princeton University
The Meaning of Relativity: Including the Relativistic Theory of the Non-Symmetric Field (Fifth Edition)<br>Albert Einstein<br>With a new introduction by Brian Greene The Meaning of Relativity:
Including the Relativistic Theory of the Non-Symmetric Field (Fifth Edition)
Albert Einstein
With a new introduction by Brian Greene


“A condensed unified presentation intended for one who has already gone through a standard text and digested the mechanics of tensor theory and the physical basis of relativity. Einstein’s little book then serves as an excellent tying-together of loose ends and as a broad survey of the subject.”–Physics Today
Poetic Trespass: Writing between Hebrew and Arabic in Israel/Palestine<br>Lital Levy Poetic Trespass:
Writing between Hebrew and Arabic in Israel/Palestine
Lital Levy


“This is a work of immense accomplishment dedicated to understanding what it means to write in two languages about a condition of life that is, at once, both shared and separate. Lital Levy’s critical speculations are careful and courageous as her beautiful prose moves back and forth across the borderline of Israel/Palestine, forging a way of moving toward a solidarity built of sorrow and survival, failure and hope. Read Poetic Trespass and reflect anew on the ethical and poetic possibilities of a translational dialogue in a star-crossed region.”–Homi Bhabha, Harvard University
Power Lines: Phoenix and the Making of the Modern Southwest<br>Andrew Needham Power Lines:
Phoenix and the Making of the Modern Southwest
Andrew Needham


“Rarely does a work of history unite so many seemingly disconnected fields of inquiry in such new and exciting ways. Masterfully interweaving urban, Native American, and environmental history, Power Lines is a sobering assessment of Phoenix’s expansive postwar development. The legacies of the region’s coal-powered history continue to shape contemporary politics, spaces, and our shared environmental future, making Power Lines as timely as it is insightful.”–Ned Blackhawk, Yale University
QED: The Strange Theory of Light and Matter<br>Richard P. Feynman<br>With a new introduction by A. Zee QED:
The Strange Theory of Light and Matter
Richard P. Feynman
With a new introduction by A. Zee


“Physics Nobelist Feynman simply cannot help being original. In this quirky, fascinating book, he explains to laymen the quantum theory of light, a theory to which he made decisive contributions.”–The New Yorker
The Struggle for Equality: Abolitionists and the Negro in the Civil War and Reconstruction<br>James M. McPherson<br>With a new preface by the author The Struggle for Equality:
Abolitionists and the Negro in the Civil War and Reconstruction
James M. McPherson
With a new preface by the author


“Must surely be assigned an important place in the literature of the history of ideas and of race relations in the United States.”–The Times Literary Supplement
Theories of International Politics and Zombies: Revived Edition<br>Daniel W. Drezner Theories of International Politics and Zombies:
Revived Edition
Daniel W. Drezner


“Drezner . . . comes up with an intriguing intellectual conceit to explain various schools of international political theory. He imagines a world overrun with zombies and considers the likely responses of national governments, the U.N and other international organizations, and nongovernment organizations (NGOs). . . . This slim book is an imaginative and very helpful way to introduce its subject–who knew international relations could be this much fun?”–Publishers Weekly
Theory of Stellar Atmospheres: An Introduction to Astrophysical Non-equilibrium Quantitative Spectroscopic Analysis<br>Ivan Hubeny & Dimitri Mihalas Theory of Stellar Atmospheres:
An Introduction to Astrophysical Non-equilibrium Quantitative Spectroscopic Analysis
Ivan Hubeny & Dimitri Mihalas


“This eagerly anticipated book is an excellent guide for anyone interested in radiation transport in astrophysics, as well as for those wanting to make detailed analyses of astrophysical spectra. Comprehensive, lucid, and stimulating, Theory of Stellar Atmospheres is ideal for students and scientists alike.”–Bengt Gustafsson, Uppsala University
Told Again: Old Tales Told Again<br>Walter de la Mare<br>With a new introduction by Philip Pullman<br>Illustrated by A. H. Watson Told Again:
Old Tales Told Again
Walter de la Mare
With a new introduction by Philip Pullman
Illustrated by A. H. Watson


Praise for previous editions: “Walter de la Mare has given the familiar old tales so much sparkle and humor and romance that they are like new stories.”–Horn Book Magazine
The Two-Mile Time Machine: Ice Cores, Abrupt Climate Change, and Our Future<br>Richard B. Alley<br>With a new preface by the author The Two-Mile Time Machine:
Ice Cores, Abrupt Climate Change, and Our Future
Richard B. Alley
With a new preface by the author


“Although not all scientists will agree with Alley’s conclusions, [this] engaging book–a brilliant combination of scientific thriller, memoir and environmental science–provides instructive glimpses into our climatic past and global future . . . “–Publisher’s Weekly
Worldly Philosopher: The Odyssey of Albert O. Hirschman<br>Jeremy Adelman Worldly Philosopher:
The Odyssey of Albert O. Hirschman
Jeremy Adelman


“[A] biography worthy of the man. Adelman brilliantly and beautifully brings Hirschman to life, giving us an unforgettable portrait of one of the twentieth century’s most extraordinary intellectuals. . . . [M]agnificent.”–Malcolm Gladwell, New Yorker

The Imitation Game official trailer

In THE IMITATION GAME. in theaters November 21, 2014, Benedict Cumberbatch stars as Alan Turing, the genius British mathematician, logician, cryptologist and computer scientist who led the charge to crack the German Enigma Code that helped the Allies win WWII. Turing went on to assist with the development of computers at the University of Manchester after the war, but was prosecuted by the UK government in 1952 for homosexual acts which the country deemed illegal. [(c) The Weinstein Company. Source: http://www.rottentomatoes.com/m/the_imitation_game/]

This major motion picture is inspired by Andrew Hodges’s widely acclaimed biography. We previously published a centenary edition of the biography in 2012, but we are releasing a completely redesigned, movie-edition of the book this November. The new edition will have a reader-friendly interior, feature a film still on the cover, and also include a new preface that brings the story up to date including the royal pardon of Turing in 2014.

Read the book, see the movie, and celebrate an unlikely hero who cracked the Enigma code and inspired modern day computing.


The book that inspired the film:

 

bookjacket

Alan Turing: The Enigma:
The Book That Inspired the Film The Imitation Game
Andrew Hodges
With a foreword by Douglas Hofstadter and a new preface by the author

Einstein and the Quantum wins The Phi Beta Kappa Award in Science

EinsteinCongratulations are in order for author A. Douglas Stone as the Phi Beta Kappa Society recently announced Einstein and the Quantum: The Quest of the Valiant Swabian was selected for the Phi Beta Kappa Award in Science.

It is a tremendous honor to be recognized this way by Phi Beta Kappa which is “the nation’s oldest and most recognized academic honor society…Its mission is to champion education in the liberal arts and sciences, to recognize academic excellence, and to foster freedom of thought and expression.”

One of three awards (the other two being The Christian Gauss Award and the Ralph Waldo Emerson Award), the Phi Beta Kappa Award in Science recognizes “outstanding contributions by scientists to the literature of science.” Notable winners of the award include scientists James Gleick, Brian Greene, Stephen Jay Gould, and Nate Silver.

Of Einstein and the Quantum, one Selection Panel member said, “I wish I’d had this book to read when I was an undergraduate. Statistical mechanics and thermodynamics are taught as such dry topics… [this book] brings the subject to life.” Again, we are thrilled to congratulate A. Douglas Stone on this amazing achievement.

Cover reveal — Alan Turing: The Enigma: The Book That Inspired the Film “The Imitation Game”

We can finally reveal the cover for the movie-edition of the book Alan Turing: The Enigma: The Book That Inspired the Film “The Imitation Game”. It depicts Alan Turing (as played by Benedict Cumberbatch), standing in front of the Turing Machine that enabled the Allies to crack the enigma code.

Hodges_AlanTuring movie tie in

Italo Calvino: Letters, 1941-1985 selected entry in 2014 AAUP Book, Jacket, and Journal Show

AAUPDon’t judge a book by its cover, unless of course you’re at the annual Association of American University Presses Book, Jacket, and Journal Show. According to AAUP’s catalog, “The show recognizes meritorious achievement in design, production, and manufacture of books, jackets, covers, and journals by members of the university press community.” For 2014, there were 268 books and 326 jackets and covers submitted for consideration; Jurors selected 40 books and 22 jackets and covers respectively. For the entire list of 2014′s selected entries, click here.

We are delighted to congratulate Jason A. Alejandro for the selection of his work on Italo Calvino: Letters, 1941-1985. Of this entry, Judge Emmet Byrne said:

“This was by far my favorite book of the competition. When wrapped in the belly band, the book feels elegant and modern, featuring beautiful, serious typography that is well spaced, well sized, and stylishly entered. When unwrapped, the book reveals itself as an enigmatic object—the hip illustration of the author brutally slapped dead center in the middle of the cover, obscuring some of the type. The completely blank white spine and the reversed type on the back—all come together to present a cryptic, somewhat impenetrable face that feels incredibly appropriate for Calvino’s writing.”

This slideshow shows off the book’s cover, typography, and design:

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Italo Calvino: Letters, 1941-1985, cloth edition with belly band cover.

Italo Calvino: Letters, 1941-1985, cloth edition.

Italo Calvino: Letters, 1941-1985, cloth edition without cover.

Italo Calvino: Letters, 1941-1985, title page.

Italo Calvino: Letters, 1941-1985, title page.

Italo Calvino: Letters, 1941-1985, interior.

Italo Calvino: Letters, 1941-1985, rear cover.

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Invisible in the Storm wins the 2015 Louis J. Battan Author’s Award, American Meteorological Society

Congratulations to Ian Roulstone & John Norbury, co-authors of Invisible in the Storm: The Role of Mathematics in Understanding Weather, on winning the 2015 Louis J. Battan Author’s Award given by the American Meteorological Society.

The prize is “presented to the author(s) of an outstanding, newly published book on the atmospheric and related sciences of a technical or non-technical nature, with consideration to those books that foster public understanding of meteorology in adult audiences.” In the announcement of the prize, the committee said Invisible in the Storm “illuminates the mathematical foundation of weather prediction with lucid prose that provides a bridge between meteorologists and the public.”

For more information about the 2015 AMS awards: http://www.ametsoc.org/awards/2015awardrecipients.pdf


bookjacket

Invisible in the Storm
The Role of Mathematics in Understanding Weather
Ian Roulstone & John Norbury

Princeton at Heffers Bookshop

Heffers Bookshop in Cambridge (UK) is looking very “Princeton” right now. Heffers, which has been selling books in Cambridge for over 130 years, is currently displaying 7 “subject bays” of Princeton books: Economics, History, Maths, Natural History, Philosophy, Politics, and Popular Science. With 20 titles on offer per bay (and 20% off all Princeton titles), there’s bound to be something for everyone.

Princeton at Heffers_1

This display  will remain at Heffers well into October, so do pop in if you’re in the area.

Princeton at Heffers_3

This is how you survive the zombie apocalypse

Williams College math professor Colin Adams risks life and limb to record these survival guide videos. Ready your gear–armor, baseball bat, calculus textbook–and prepare for the onslaught.

Part 1: Why we can’t quite finish the zombies off.

Part 2: Escaping zombies in hot pursuit.

Credit: PBS’s NOVA and director Ari Daniel.
 


bookjacket Zombies and Calculus
Colin Adams

Grab your M&Ms and ace math this year with Math Bytes

In this segment from WCCB in Charlotte, NC, Tim Chartier shows how math can be both educational and delicious! This experiment is taken directly from his recent book Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing. There are lots of other hands-on experiments that are suitable for aspirational mathematicians of all ages in the book.


bookjacket Math Bytes:
Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing
Tim Chartier

Quick Questions for Ian Roulstone and John Norbury, co-authors of Invisible in the Storm

Ian Roulstone (top) and John Norbury (bottom) are authors of Invisible in the Storm: The Role of Mathematics in Understanding Weather and experts on the application of mathematics in meteorology and weather prediction. As we head into hurricane season along the Eastern coast of the United States, we are still not fully recovered from Hurricane Sandy, empty lots still dot the stretch between Seaside and Point Pleasant and in countless other beach communities. But it could have been worse without the advance warning of meteorologists, so we had a few questions about the accuracy of weather prediction and how it can be further refined in the future.

Now, on to the questions!

Ian RoulstoneNorbury

 

What inspired you to get into this field?

Every day millions of clouds form, grow, and move above us, blown by the restless winds of our ever-changing atmosphere. Sometimes they bring rain and sometimes they bring snow – nearly always in an erratic, non-recurring way. Why should we ever be able to forecast weather three days or a week ahead? How can we possibly forecast climate ten years or more in the future? The secret behind successful forecasting involves a judicious mix of big weather-satellite data, information technology, and meteorology. What inspired us was that mathematics turns out to be crucial to bringing it all together.

Why did you write this book?

Many books describe various types of weather for a general audience. Other books describe the physical science of forecasting for more specialist audiences. But no-one has explained, for a general readership, the ideas behind the successful algorithms of the latest weather and climate apps running on today’s supercomputers. Our book describes the achievements and the challenges of modern weather and climate prediction.

There’s quite a lot about the history and personalities involved in the development of weather forecasting in your book; why did you consider this aspect important?

When reviewing the historical development of weather science over the past three centuries, we found the role of individuals ploughing their own furrow to be at least as important as that of big government organisations. And those pioneers ranged from essentially self-taught, and often very lonely individuals, to charming and successful prodigies. Is there a lesson here for future research organisation?


“We can use mathematics to warn us of the potential for chaotic behaviour, and this enables us to assess the risks of extreme events.”


Weather forecasts are pretty good for the next day or two, but not infallible: can we hope for significant improvements in forecasting over the next few years? 

The successful forecasts of weather events such as the landfall of Hurricane Sandy in New Jersey in October 2012, and the St Jude Day storm over southern England in October 2013, both giving nearly a week’s warning of the oncoming disaster, give a taste of what is possible. Bigger computers, more satellites and radar observations, and even cleverer algorithms will separate the predictable weather from the unpredictable gust or individual thunderstorm. Further improvements will rely not only on advanced technology, but also, as we explain in our book, on capturing the natural variability of weather using mathematics.

But isn’t weather chaotic?

Wind, warmth and rain are all part of weather. But the very winds are themselves tumbling weather about. This feedback of cause and effect, where the “effects help cause the causes”, has its origins in both the winds and the rain. Clouds are carried by the wind, and rainfall condensing in clouds releases further heat, which changes the wind. So chaotic feedback can result in unexpected consequences, such as the ice-storm or cloudburst that wasn’t mentioned in the forecast. But we can use mathematics to warn us of the potential for chaotic behaviour, and this enables us to assess the risks of extreme events.

Are weather and climate predictions essentially “big data” problems?

We argue no. Weather agencies will continually upgrade their supercomputers, and have a never-ending thirst for weather data, mostly from satellites observing the land and sea. But if all we do is train computer programs by using data, then our forecasting will remain primitive. Scientific ideas formulated with mathematical insight give the edge to intelligent forecasting apps.

So computer prediction relies in various ways on clever mathematics: it gives a language to describe the problem on a machine; it extracts the predictable essence from the weather data; and it selects the predictable future from the surrounding cloud of random uncertainty. This latter point will come to dominate climate prediction, as we untangle the complex interactions of the atmosphere, oceans, ice-caps and life in its many varied forms.

Can climate models produce reliable scenarios for decision-makers?

The models currently used to predict climate change have proved invaluable in attributing trends in global warming to human activity. The physical principles that govern average global temperatures involve the conservation of energy, and these over-arching principles are represented very accurately by the numerical models. But we have to be sure how to validate the predictions: running a model does not, in itself, equate to understanding.

As we explain, although climate prediction is hugely complicated, mathematics helps us separate the predictable phenomena from the unpredictable. Discriminating between the two is important, and it is frequently overlooked when debating the reliability of climate models. Only when we take such factors into account can we – and that includes elected officials – gauge the risks we face from climate change.

What do you hope people will take away from this book?

From government policy and corporate strategy to personal lifestyle choices, we all need to understand the rational basis of weather and climate prediction. Answers to many urgent and pressing environmental questions are far from clear-cut. Predicting the future of our environment is a hugely challenging problem that will not be solved by number-crunching alone. Chaos and the butterfly effect were the buzzwords of the closing decades of the 20th Century. But incomplete and inaccurate data need not be insurmountable obstacles to scientific progress, and mathematics shows us the way forward.

 

bookjacket Invisible in the Storm
The Role of Mathematics in Understanding Weather
Ian Roulstone & John Norbury

 

 

6 Free to Low-Cost Resources to Teach You Calculus in a Fun and Interactive Way

In his new book, Everyday Calculus: Discovering the Hidden Math All around Us, Oscar E. Fernandez shows that calculus can actually be fun and applicable to our daily lives. Whether you’re trying to regulate your sleep schedule or find the best seat in the movie theater, calculus can help, and Fernandez’s accessible prose conveys complex mathematical concepts in terms understandable even to readers with no prior knowledge of calculus. Fernandez has also provided a list below of his favorite affordable resources for teaching yourself calculus, both on- and offline.

Princeton University Press offers several other books to help you master this most notorious of the mathematics. If you’re already good at calculus, but want to be great at it, check out Adrian Banner’s The Calculus Lifesaver: All the Tools You Need to Excel at Calculus, an informal but comprehensive companion to any single-variable calculus textbook. For high school mathletes and aspiring zombie hunters of all ages, there’s also Colin Adams’s Zombies and Calculus, an interactive reading experience set at a small liberal arts college during a zombie apocalypse. Readers learn as they go, using calculus to defeat the walking dead.

Calculus. There, I said it. If your heart skipped a beat, you might be one of the roughly 1 million students–or the parent of one of these brave souls–that will take the class this coming school year. Math is already tough, you might have been told, and calculus is supposed to be the “make or break” math class that may determine whether you have a future in STEM (science, technology, engineering, or mathematics); no pressure huh?

But you’ve got a little under two months to go. That’s plenty of time to brush up on your precalculus, learn a bit of calculus, and walk in on day one well prepared–assuming you know where to start.

That’s where this article comes in. As a math professor myself I use several free to low-cost resources that help my students prepare for calculus. I’ve grouped these resources below into two categories: Learning Calculus and Interacting with Calculus.

Learning Calculus.

1. Paul’s online math notes–an interactive website (free).

This online site from Paul Dawkins, math professor at Lamar University, is arguably the best (free) online site for learning calculus. In a nutshell, it’s an interactive textbook. There are tons of examples, each followed by a complete solution, and various links that take you to different parts of the course as needed (i.e., instead of saying, for example, “recall in Section 2.1…” the links take you right back to the relevant section). I consider Prof. Dawkins’ site to be just as good, if not better, at teaching calculus than many actual calculus textbooks (and it’s free!). I should also mention that Prof. Dawkins’ site also includes fairly comprehensive precalculus and algebra sections.

2. Khan Academy–short video lectures (free).

A non-profit run by educator Salman Khan, the Khan academy is a popular online site featuring over 6,000 (according to Wikipedia) video mini-lectures–typically lasting about 15 minutes–on everything from art history to mathematics. The link I’ve included here is to the differential calculus set of videos. You can change subjects to integral calculus, or to trigonometry or algebra once you jump onto the site.

3. MIT online lectures–actual course lectures in video format (free).

One of the earliest institutions to do so, MIT records actual courses and puts up the lecture videos and, in some cases, homeworks, class notes, and exams on its Open Courseware site. The link above is to the math section. There you’ll find several calculus courses, in addition to more advanced math courses. Clicking on the videos may take you to iTunes U, Apple’s online library of video lectures. Once there you can also search for “calculus” and you’ll find other universities that have followed in MIT’s footsteps and put their recorded lectures online.

4. How to Ace Calculus: The Streetwise Guide, by Colin Adams, Abigail Thompson, and Joel Hass

If you’re looking for something in print, this book is a great resource. The book will teach you calculus, probably have you laughing throughout due to the authors’ good sense of humor, and also includes content not found in other calculus books, like tips for taking calculus exams and interacting with your instructor. You can read the first few pages on the book’s site.

Interacting with Calculus.

1. Calculus java applets–online interactive demonstrations of calculus topics(free).

There are many sites that include java-based demonstrations that will help you visualize math. Two good ones I’ve come across are David Little’s site and theUniversity of Notre Dame’s site. By dragging a point or function, or changing specific parameters, these applets make important concepts in calculus come alive; they also make it far easier to understand certain things. For example, take this statement: “as the number of sides of a regular polygon inscribed in a circle increases, the area of that polygon better approximates the area of the circle.” Even if you followed that, text is no comparison to this interactive animation.

One technological note: Because these are java applets, some of you will likely run into technology issues (especially if you’re on a Mac). For example, your computer may block these applets because it thinks that they are malicious. Here is a workaround from Java themselves that may help you in these cases.

2. Everyday Calculus, by Oscar E. Fernandez.

Self-promotion aside, calculus teachers often sell students (and parents) on the need to study calculus by telling them about how applicable the subject is. The problem is that the vast majority of the applications usually discussed are to things that many of us will likely never experience, like space shuttle launches and the optimization of company profits. The result: math becomes seen as an abstract subject that, although has applications, only become “real” if you become a scientist or engineer.

In  Everyday Calculus I flip this script and start with ordinary experiences, like taking a shower and driving to work, and showcase the hidden calculus behind these everyday events and things. For example, there’s some neat trigonometry that helps explain why we sometimes wake up feeling groggy, and thinking more carefully about how coffee cools reveals derivatives at work. This sort of approach makes it possible to use the book as an experiential learning tool to discover the calculus hidden all around you.

With so many good resources it’s hard to know where to start and how to use them all effectively. Let me suggest one approach that uses the resources above synergistically.

For starters, the link to Paul’s site takes you to the table of contents of his site. The topic ordering there is roughly the same as what you’d find in a calculus textbook. So, you’d probably want to start with his review of functions. From there, the next steps depend on the sort of learning experience you want.

1. If you’re comfortable learning from Paul’s site you can just stay there, using the other resources to complement your learning along the way.

2. If you learn better from lectures, then use Paul’s topics list and jump on the Khan Academy site and/or the MIT and iTunes U sites to find video lectures on the corresponding topics.

3. If you’re more of a print person, then How to Ace Calculus would be a great way to start. That book’s topics ordering is pretty much the same as Paul’s, so there’d be no need to go back and forth.

Whatever method you decided on, I still recommend that you use Paul’s site, the interactive java applets, and Everyday Calculus. These three resources, used together, will allow you to completely interact with the calculus you’ll be learning. From working through examples and checking your answer (on Paul’s site), to interacting directly with functions, derivatives, and integrals (on the java applet sites), to exploring and experiencing the calculus all around you (Everyday Calculus), you’ll gain an appreciation and understanding of calculus that will no doubt put you miles ahead of your classmates come September.

This article is cross-posted with The Huffington Post with permission of the author.

Recommended Reading:

 Fernandez_Everyday cover Everyday Calculus: Discovering the Hidden Math All around Us by Oscar E. Fernandez
The Calculus Lifesaver The Calculus Lifesaver: All the Tools You Need to Excel in Calculus by Adrian Banner
 7-18 Zombies  Zombies & Calculus by Colin Adams

Paying It Forward, Using Math: Oscar Fernandez’s ‘Everyday Calculus’ Donated to Libraries in Franklin County, PA

Everyday Calculus, O. FernandezWhat a week!

It was recently announced that one of our books, Everyday Calculus by Oscar Fernandez, is to be donated by the United Way of Franklin County, in partnership with the Franklin County Library System, to public libraries all throughout Franklin County. The decision recognizes the 2013 Campaign Chair, Jim Zeger, who has demonstrated a dedication to service and a “willingness to teach others” during the course of his four-year tenure on the board of directors.

But the choice of text was far from random; Everyday Calculus was selected “because of the need for materials that support financial and mathematical literacy within our library systems,” says Mr. Zeger. He’s one to know; before coming to United Way, Zeger studied math at Juniata College and taught mathematics at the Maryland Correctional Institute. He also served for a number of years as part of the Tuscarora School District school board, and “is very supportive and understanding of the value of relating and connecting applied math to students.”

Bernice Crouse, executive director of the Franklin County Library System, accepted the books and has found them a place in each County library, including the bookmobile, in order to make them more accessible to readers. According to Crouse, this book fits perfectly with Pennsylvania Library Association’s PA Forward initiative, which “highlights Financial Literacy as a key to economic vitality in Pennsylvania.”

Mr. Fernandez is reportedly “delighted” and “honored” by the decision, and looks forward to further collaborating with United Way.