Sign-In
Cart
Reading, Writing, and Proving: A Closer Look at Mathematics
Paperback
Series: Undergraduate Texts in Mathematics
Currently unavailable to order
Please enter your email and a message will be sent to you when this product becomes available on our website.
ISBN13: 9781461429159
Publisher: Springer
Published: Aug 1 2013
Pages: 378
Weight: 1.21
Height: 0.81 Width: 6.10 Depth: 9.25
Language: English
This book, which is based on Pólya's method of problem solving, aids students in their transition from calculus (or precalculus) to higher-level mathematics. The book begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends with suggested projects for independent study.
Students will follow Pólya's four step approach: analyzing the problem, devising a plan to solve the problem, carrying out that plan, and then determining the implication of the result. In addition to the Pólya approach to proofs, this book places special emphasis on reading proofs carefully and writing them well. The authors have included a wide variety of problems, examples, illustrations and exercises, some with hints and solutions, designed specifically to improve the student's ability to read and write proofs.
Historical connections are made throughout the text, and students are encouraged to use the rather extensivebibliography to begin making connections of their own. While standard texts in this area prepare students for future courses in algebra, this book also includes chapters on sequences, convergence, and metric spaces for those wanting to bridge the gap between the standard course in calculus and one in analysis.
Also in
Fiction
100 Years of Legends: The Official Celebration of the Le Mans 24 Hours
Davoine, Basile
Holtz, Gerard
Holtz, Julien
Hardcover
Pardon My Book: Ten Years of the Best (and Worst) in Sports from Pardon My Take
Big Cat
Commenter, Pft
Hardcover
The W: A History of the WNBA: How the WNBA Survived, Evolved, and Changed Professional Sports
Spruill, Tamryn
Hardcover
The Boys in the Boat: Nine Americans and Their Epic Quest for Gold at the 1936 Berlin Olympics
Brown, Daniel James
Paperback
Soccernomics (2026 World Cup Edition): Why European Men and American Women Usually Win--And American Men Don't (Yet)
Szymanski, Stefan
Kuper, Simon
Paperback
The Emerald Mile: The Epic Story of the Fastest Ride in History Through the Heart of the Grand Canyon
Fedarko, Kevin
Paperback
The Bosses of the Bronx: The Endless Drama of the Yankees Under the House of Steinbrenner
Vaccaro, Mike
Hardcover
The Shortest History of Soccer: From Ancient Kicking Games to the World's Most Popular Sport
Bunk, Brian D.
Paperback
The Girls Who Beat the Odds: Stories of Women Who Changed the Course of Sports History
Eder, Mari K.
Hardcover
Harvey Penick's Little Red Book: Lessons and Teachings from a Lifetime in Golf
Penick, Harvey
Hardcover
Making Camp: A Visual History of Camping's Most Essential Items and Activities
Hogue, Martin
Hardcover
The World Cup: A History of the Planet's Biggest Sporting Event, 2026 Edition
Lisi, Clemente A.
Paperback
A Beginner's Guide to the Roots of Yoga: How to Create a More Authentic Practice
Desai, Nikita
Paperback
Cinderella Man: James J. Braddock, Max Baer, and the Greatest Upset in Boxing History
Schaap, Jeremy
Paperback
Urban Trails: San Francisco: Coastal Bluffs/ The Presidio/ Hilltop Parks & Stairways
Kenin, Alexandra
Paperback
Carlisle vs. Army: Jim Thorpe, Dwight Eisenhower, Pop Warner, and the Forgotten Story of Football'sgreatest Battle
Anderson, Lars
Paperback
Sports Illustrated the Stanley Cup: A History of Hockey's Greatest Prize from the Pages of Sports Illustrated
Sports Illustrated
Hardcover
The Boys in the Boat: Nine Americans and Their Epic Quest for Gold at the 1936 Berlin Olympics
Brown, Daniel James
Hardcover
Lambeau Ladies: The Boundary-Breaking Women Behind Lombardi's Packers
Kostelnik Biskupic, Laura
Paperback
When the Garden Was Eden: Clyde, the Captain, Dollar Bill, and the Glory Days of the New York Knicks
Araton, Harvey
Paperback
La Historia del Fã°tbol En 500 Partidos / The History of Soccer in 500 Matches
Wernicke, Luciano
Paperback
Mastering Logical Fallacies: The Definitive Guide to Flawless Rhetoric and Bulletproof Logic
Withey, Michael
Paperback
The Club: How the English Premier League Became the Wildest, Richest, Most Disruptive Force in Sports
Robinson, Joshua
Clegg, Jonathan
Paperback
Da Bears!: How the 1985 Monsters of the Midway Became the Greatest Team in NFL History
Delsohn, Steve
Paperback
The Boys in the Boat: Nine Americans and Their Epic Quest for Gold at the 1936 Berlin Olympics (Large Print Edition)
Brown, Daniel James
Paperback
A People's History of Sports in the United States: 250 Years of Politics, Protest, People, and Play
Zirin, Dave
Paperback
Integration at Second Base: Jackie Robinson and the Quest for Black Citizenship
Eisenstadt, Peter
Hardcover
The Horse God Built: The Untold Story of Secretariat, the World's Greatest Racehorse
Scanlan, Lawrence
Paperback
The Secret Game: A Wartime Story of Courage, Change, and Basketball's Lost Triumph
Ellsworth, Scott
Paperback
American Soccer Nation: The Remarkable 150-Year History of Yanks on a Roll, from Mob Football to the Modern Game
Franek, Mark C.
Paperback
Ignorance: What We Do Not Know, Cannot Know, Must Not Know, and Refuse to Know
Szpiro, George G.
Hardcover
The Long Red Line: Cornell Lacrosse and the Forty-Eight-Year Quest for Glory
Swezey, Christian
Hardcover
Fifty Places to Play Golf Before You Die: Golf Experts Share the World's Greatest Destinations
Santella, Chris
Hardcover
Norwegian Method: The Culture, Science, and Humans Behind the Groundbreaking Approach to Elite Endurance Performance
Culp, Brad
Paperback
Hail to the Redskins: Gibbs, the Diesel, the Hogs, and the Glory Days of D.C.'s Football Dynasty
Lazarus, Adam
Paperback
Notre Dame Fighting Irish Football Firsts: The Players, Moments, and Records That Were First in Team History
Heisler, John
Bourret, Timothy
Paperback
A Big Mess in Texas: The Miraculous, Disastrous 1952 Dallas Texans and the Craziest Untold Story in NFL History
Fleming, David
Hardcover
No Advantage Given: The Incomplete History of U.S. Women's Rugby, 1972-2026
United States Women's Rugby Foundation
Paperback
The Emerald Mile: The Epic Story of the Fastest Ride in History Through the Heart of the Grand Canyon
Fedarko, Kevin
Hardcover
That First Season: How Vince Lombardi Took the Worst Team in the NFL and Set It on the Path to Glory
Eisenberg, John
Paperback
La Apasionante Historia de Los Mundiales / The Exciting History of the World Cups
Lati, Alberto
Paperback
1000 Football Shirts Revised and Updated: From Vintage Classics to the Latest Releases
Lions, Bernard
Paperback
The Three-Year Swim Club: The Untold Story of Maui's Sugar Ditch Kids and Their Quest for Olympic Glory
Checkoway, Julie
Paperback
A Home on the Field: How One Championship Team Inspires Hope for the Revival of Small Town America
Cuadros, Paul
Paperback
Angels with Dirty Faces: How Argentinian Soccer Defined a Nation and Changed the Game Forever
Wilson, Jonathan
Paperback
The Game That Saved the NHL: The Broad Street Bullies, the Soviet Red Machine, and Super Series '76
Gruver, Ed
Hardcover
The Glory of Their Times: The Story of the Early Days of Baseball Told by the Men Who Played It
Ritter, Lawrence S.
Paperback
Shattering the Glass: The Remarkable History of Women's Basketball
Grundy, Pamela
Shackelford, Susan
Paperback
The Game of Their Lives: The Untold Story of the World Cup's Biggest Upset
Douglas, Geoffrey
Paperback
To Mock a Mockingbird: And Other Logic Puzzles Including an Amazing Adventure in Combinatory Logic
Smullyan, Raymond M.
Paperback
Wheelmen: Lance Armstrong, the Tour de France, and the Greatest Sports Conspiracy Ever
Albergotti, Reed
O'Connell, Vanessa
Paperback
The Lions Finally Roar: The Detroit Lions and the Road to Redemption in the NFL
Morris, Bill
Paperback
Ironmania: The 1984 Hawaii Ironman Triathlon World Championship and the making of an Iconic Event
Evans, David
Paperback
Battles at Annapolis: Two Remarkable Football Games in the Army-Navy Rivalry
Gendell, David
Paperback
If These Walls Could Talk: Pittsburgh Steelers: Stories from the Sideline, Locker Room, and Press Box
Wexell, Jim
Wolfley, Craig
Paperback
The Official History of the Tour de France: Revised and Updated
Laget, Serge
McGrath, Andy
Edwardes-Evans, Luke
Hardcover
Three-Ring Circus: Kobe, Shaq, Phil, and the Crazy Years of the Lakers Dynasty
Pearlman, Jeff
Paperback