Benjamin, Arthur
Overview
Works:  54 works in 168 publications in 5 languages and 6,801 library holdings 

Genres:  Educational films Filmed lectures Nonfiction films Popular works Instructional films Miscellanea 
Roles:  Author, Editor, osp, Adapter 
Classifications:  QA111, 510 
Publication Timeline
.
Most widely held works by
Arthur Benjamin
The magic of math : solving for x and figuring out why by
Arthur Benjamin(
Book
)
12 editions published between 2015 and 2016 in English and held by 1,102 WorldCat member libraries worldwide
"The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examplesfrom ice cream scoops and poker hands to measuring mountains and making magic squaresthis book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius!"
12 editions published between 2015 and 2016 in English and held by 1,102 WorldCat member libraries worldwide
"The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examplesfrom ice cream scoops and poker hands to measuring mountains and making magic squaresthis book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius!"
Proofs that really count : the art of combinatorial proof by
Arthur Benjamin(
Book
)
16 editions published between 2003 and 2014 in English and held by 916 WorldCat member libraries worldwide
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, awardwinning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The arguments primarily take one of two forms:  A counting question is posed and answered in two different ways. Since both answers solve the same question they must be equal. Two different sets are described, counted, and a correspondence found between them. Onetoone correspondences guarantee sets of the same size. Almost onetoone correspondences take error terms into account. Even manytoone correspondences are utilized. The book explores more than 200 identities throughout the text and exercises, frequently emphasizing numbers not often thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians
16 editions published between 2003 and 2014 in English and held by 916 WorldCat member libraries worldwide
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, awardwinning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The arguments primarily take one of two forms:  A counting question is posed and answered in two different ways. Since both answers solve the same question they must be equal. Two different sets are described, counted, and a correspondence found between them. Onetoone correspondences guarantee sets of the same size. Almost onetoone correspondences take error terms into account. Even manytoone correspondences are utilized. The book explores more than 200 identities throughout the text and exercises, frequently emphasizing numbers not often thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians
Secrets of mental math : the mathemagician's guide to lightning calculation and amazing math tricks by
Arthur Benjamin(
Book
)
10 editions published between 2006 and 2014 in English and Thai and held by 836 WorldCat member libraries worldwide
An accessible guide to mathematical calculation reveals the secrets of rapid mental calculation, memorization, and other feats of the mind, with tips on how to add, subtract, multiply, divide, and work with fractions, squares, and cube roots
10 editions published between 2006 and 2014 in English and Thai and held by 836 WorldCat member libraries worldwide
An accessible guide to mathematical calculation reveals the secrets of rapid mental calculation, memorization, and other feats of the mind, with tips on how to add, subtract, multiply, divide, and work with fractions, squares, and cube roots
The joy of mathematics by
Arthur Benjamin(
Visual
)
10 editions published in 2007 in English and held by 644 WorldCat member libraries worldwide
"This course celebrates the sheer joy of mathematics, taught by a mathematician who is literally a magician with numbers. Professor Arthur T. Benjamin of Harvey Mudd College is renowned for his feats of mental calculation performed before audiences at schools, theaters, museums, conferences, and other venues. Although racing a calculator to solve a difficult problem may seem like a superhuman achievement, Professor Benjamin shows that there are simple tricks that allow anyone to look like a math magician. Professor Benjamin has another goal in this course: throughout these lectures, he shows how everything in mathematics is connectedhow the beautiful and often imposing edifice that has given us algebra, geometry, trigonometry, calculus, probability, and so much else is based on nothing more than fooling around with numbers"Publisher's web site
10 editions published in 2007 in English and held by 644 WorldCat member libraries worldwide
"This course celebrates the sheer joy of mathematics, taught by a mathematician who is literally a magician with numbers. Professor Arthur T. Benjamin of Harvey Mudd College is renowned for his feats of mental calculation performed before audiences at schools, theaters, museums, conferences, and other venues. Although racing a calculator to solve a difficult problem may seem like a superhuman achievement, Professor Benjamin shows that there are simple tricks that allow anyone to look like a math magician. Professor Benjamin has another goal in this course: throughout these lectures, he shows how everything in mathematics is connectedhow the beautiful and often imposing edifice that has given us algebra, geometry, trigonometry, calculus, probability, and so much else is based on nothing more than fooling around with numbers"Publisher's web site
Mathemagics : how to look like a genius without really trying by
Arthur Benjamin(
Book
)
8 editions published between 1992 and 1998 in English and held by 571 WorldCat member libraries worldwide
Shows how to get maximum effect out of four basic math skills by teaching tricks and techniques that make calculating in your head very easy
8 editions published between 1992 and 1998 in English and held by 571 WorldCat member libraries worldwide
Shows how to get maximum effect out of four basic math skills by teaching tricks and techniques that make calculating in your head very easy
The fascinating world of graph theory by
Arthur Benjamin(
Book
)
14 editions published in 2015 in English and Japanese and held by 429 WorldCat member libraries worldwide
"The fascinating world of graph theory goes back several centuries and revolves around the study of graphs  mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics  and some of its most famous problems. For example, what is the shortest route for a traveling salesman seeking to visit a number of cities in one trip? What is the least number of colors needed to fill in any map so that neighboring regions are always colored differently? Requiring readers to have a math background only up to high school algebra, this book explores the questions and puzzles that have been studied, and often solved, through graph theory. In doing so, the book looks at graph theory's development and the vibrant individuals responsible for the field's growth."Jacket
14 editions published in 2015 in English and Japanese and held by 429 WorldCat member libraries worldwide
"The fascinating world of graph theory goes back several centuries and revolves around the study of graphs  mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics  and some of its most famous problems. For example, what is the shortest route for a traveling salesman seeking to visit a number of cities in one trip? What is the least number of colors needed to fill in any map so that neighboring regions are always colored differently? Requiring readers to have a math background only up to high school algebra, this book explores the questions and puzzles that have been studied, and often solved, through graph theory. In doing so, the book looks at graph theory's development and the vibrant individuals responsible for the field's growth."Jacket
The secrets of mental math by
Arthur Benjamin(
Visual
)
7 editions published between 2010 and 2011 in English and held by 408 WorldCat member libraries worldwide
One key to improving and expanding your math potentialwhether you're a corporate executive or a highschool studentlies in the powerful ability to perform mental math calculations. Solving basic math problems in your head is a gateway to success in understanding and mastering higher mathematical fields such as algebra, statistics, and calculus. Mental mathematics also is valuable when you're shopping for groceries or figuring out how much to tip at a restaurant. This 12lecture course guides you through all the essential skills, tips, and tricks for improving and enhancing your ability to solve a range of mathematical problems right in your head
7 editions published between 2010 and 2011 in English and held by 408 WorldCat member libraries worldwide
One key to improving and expanding your math potentialwhether you're a corporate executive or a highschool studentlies in the powerful ability to perform mental math calculations. Solving basic math problems in your head is a gateway to success in understanding and mastering higher mathematical fields such as algebra, statistics, and calculus. Mental mathematics also is valuable when you're shopping for groceries or figuring out how much to tip at a restaurant. This 12lecture course guides you through all the essential skills, tips, and tricks for improving and enhancing your ability to solve a range of mathematical problems right in your head
Biscuits of number theory by
Arthur Benjamin(
Book
)
9 editions published between 2008 and 2009 in English and held by 315 WorldCat member libraries worldwide
An anthology of articles designed to supplement a first course in number theory
9 editions published between 2008 and 2009 in English and held by 315 WorldCat member libraries worldwide
An anthology of articles designed to supplement a first course in number theory
Discrete mathematics by
Arthur Benjamin(
Visual
)
4 editions published in 2009 in English and held by 141 WorldCat member libraries worldwide
Discusses discrete mathematics, a subject that is off the beaten track that most of us followed in school but that has vital applications in computer science, cryptography, engineering, and problem solving of all types. Focusing on three of discrete mathematics most important fields (combinatorics, number theory and graph theory), presents a selection of problems, proofs, and applications
4 editions published in 2009 in English and held by 141 WorldCat member libraries worldwide
Discusses discrete mathematics, a subject that is off the beaten track that most of us followed in school but that has vital applications in computer science, cryptography, engineering, and problem solving of all types. Focusing on three of discrete mathematics most important fields (combinatorics, number theory and graph theory), presents a selection of problems, proofs, and applications
The mathematics of games and puzzles : from cards to sudoku by
Arthur Benjamin(
Visual
)
3 editions published in 2013 in English and held by 130 WorldCat member libraries worldwide
This course takes a mathematical approach to playing games and solving puzzles. In this course, you will be introduced to all kinds of games, from games of pure strategy (like chess) to games of pure luck (like many casino games) to games that mix strategy and luck (like blackjack, backgammon, and poker). You will analyze puzzles that have stumped people for centuries to modern favorites like sudoku and Rubik's Cube. You will improve your ability to play these games and solve these puzzles, but you will also learn some interesting mathematics along the way
3 editions published in 2013 in English and held by 130 WorldCat member libraries worldwide
This course takes a mathematical approach to playing games and solving puzzles. In this course, you will be introduced to all kinds of games, from games of pure strategy (like chess) to games of pure luck (like many casino games) to games that mix strategy and luck (like blackjack, backgammon, and poker). You will analyze puzzles that have stumped people for centuries to modern favorites like sudoku and Rubik's Cube. You will improve your ability to play these games and solve these puzzles, but you will also learn some interesting mathematics along the way
Think like a maths genius : the art of calculating in your head by
Arthur Benjamin(
Book
)
4 editions published between 2006 and 2011 in English and held by 67 WorldCat member libraries worldwide
Explains how to add, subtract, multiply and divide in your head using tricks and techniques and how to apply these newfound skills to reallife situations
4 editions published between 2006 and 2011 in English and held by 67 WorldCat member libraries worldwide
Explains how to add, subtract, multiply and divide in your head using tricks and techniques and how to apply these newfound skills to reallife situations
The joy of mathematics by
Arthur Benjamin(
Visual
)
3 editions published in 2007 in English and held by 62 WorldCat member libraries worldwide
This course aims to show how mathematics  from the simplest notions of numbers and counting to the more complex ideas of calculus, imaginary numbers, and infinity  is indeed a great source of joy. This course covers the highlights of the traditional high school mathematics curriculum of algebra, geometry, trigonometry, and calculus, but it also introduces surprising features of the numbers 9, pi, i, and e; the Fibonacci numbers, and the numbers in Pascal's triangle. Two lectures explore probability and applications to games of chance, and the course concludes with a lecture on the joy of mathematical magic
3 editions published in 2007 in English and held by 62 WorldCat member libraries worldwide
This course aims to show how mathematics  from the simplest notions of numbers and counting to the more complex ideas of calculus, imaginary numbers, and infinity  is indeed a great source of joy. This course covers the highlights of the traditional high school mathematics curriculum of algebra, geometry, trigonometry, and calculus, but it also introduces surprising features of the numbers 9, pi, i, and e; the Fibonacci numbers, and the numbers in Pascal's triangle. Two lectures explore probability and applications to games of chance, and the course concludes with a lecture on the joy of mathematical magic
The joy of mathematics by
Arthur Benjamin(
Visual
)
5 editions published in 2007 in English and held by 58 WorldCat member libraries worldwide
This course aims to show how mathematics  from the simplest notions of numbers and counting to the more complex ideas of calculus, imaginary numbers, and infinity  is indeed a great source of joy. This course covers the highlights of the traditional high school mathematics curriculum of algebra, geometry, trigonometry, and calculus, but it also introduces surprising features of the numbers 9, pi, i, and e; the Fibonacci numbers, and the numbers in Pascal's triangle. Two lectures explore probability and applications to games of chance, and the course concludes with a lecture on the joy of mathematical magic
5 editions published in 2007 in English and held by 58 WorldCat member libraries worldwide
This course aims to show how mathematics  from the simplest notions of numbers and counting to the more complex ideas of calculus, imaginary numbers, and infinity  is indeed a great source of joy. This course covers the highlights of the traditional high school mathematics curriculum of algebra, geometry, trigonometry, and calculus, but it also introduces surprising features of the numbers 9, pi, i, and e; the Fibonacci numbers, and the numbers in Pascal's triangle. Two lectures explore probability and applications to games of chance, and the course concludes with a lecture on the joy of mathematical magic
Secrets of mental math by
Arthur Benjamin(
Recording
)
2 editions published in 2011 in English and held by 29 WorldCat member libraries worldwide
In twelve lectures, provides an overview for improving and enhancing your ability to solve a range of mathematical problems right in your head
2 editions published in 2011 in English and held by 29 WorldCat member libraries worldwide
In twelve lectures, provides an overview for improving and enhancing your ability to solve a range of mathematical problems right in your head
MatheMagie : verblüffende Tricks für blitzschnelles Kopfrechnen und ein phänomenales Zahlengedächtnis by
Arthur Benjamin(
Book
)
5 editions published between 2007 and 2014 in German and Undetermined and held by 28 WorldCat member libraries worldwide
Sammlung von Tricks zum rationellen Kopfrechnen mit Übungsaufgaben und Läsungen
5 editions published between 2007 and 2014 in German and Undetermined and held by 28 WorldCat member libraries worldwide
Sammlung von Tricks zum rationellen Kopfrechnen mit Übungsaufgaben und Läsungen
Shu xue su suan mo fa by
Arthur Benjamin(
Book
)
3 editions published in 2011 in Chinese and held by 12 WorldCat member libraries worldwide
3 editions published in 2011 in Chinese and held by 12 WorldCat member libraries worldwide
The joy of mathematics by
Arthur Benjamin(
Book
)
4 editions published in 2007 in English and held by 9 WorldCat member libraries worldwide
This course of 24 halfhour lectures celebrates the sheer joy of mathematics, taught by a mathematician who is literally a magician with numbers
4 editions published in 2007 in English and held by 9 WorldCat member libraries worldwide
This course of 24 halfhour lectures celebrates the sheer joy of mathematics, taught by a mathematician who is literally a magician with numbers
MatheMagie für Durchblicker : die verblüffendsten MatheTricks für alle Rechenarten by
Arthur Benjamin(
Book
)
2 editions published in 2016 in German and held by 9 WorldCat member libraries worldwide
2 editions published in 2016 in German and held by 9 WorldCat member libraries worldwide
The secrets of mental math(
Visual
)
1 edition published in 2011 in English and held by 9 WorldCat member libraries worldwide
One key to expanding your math potentialwhether you're a CEO or a high school studentlies in the power to perform mental calculations. Solving basic math problems in your head offers lifelong benefits including a competitive edge at work, a more active and sharper mind, and improved standardized test scores. Discover the skills, tips, and tricks for tapping into your hidden math skills
1 edition published in 2011 in English and held by 9 WorldCat member libraries worldwide
One key to expanding your math potentialwhether you're a CEO or a high school studentlies in the power to perform mental calculations. Solving basic math problems in your head offers lifelong benefits including a competitive edge at work, a more active and sharper mind, and improved standardized test scores. Discover the skills, tips, and tricks for tapping into your hidden math skills
Discrete mathematics by
Arthur Benjamin(
Visual
)
1 edition published in 2009 in English and held by 8 WorldCat member libraries worldwide
Discusses discrete mathematics, a subject that is off the beaten track that most of us followed in school but that has vital applications in computer science, cryptography, engineering, and problem solving of all types. Focusing on three discrete mathematics most important fields (combinatorics, number theory and graph theory), presents a selection of problems, proofs, and applications
1 edition published in 2009 in English and held by 8 WorldCat member libraries worldwide
Discusses discrete mathematics, a subject that is off the beaten track that most of us followed in school but that has vital applications in computer science, cryptography, engineering, and problem solving of all types. Focusing on three discrete mathematics most important fields (combinatorics, number theory and graph theory), presents a selection of problems, proofs, and applications
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Related Identities
 Shermer, Michael Author
 Teaching Company
 Quinn, Jennifer J. Other Contributor
 St. Clair, Natalya Illustrator
 Rhoades, Zachary
 Leven, Jon Director
 Aigret, Jaimée M. Producer
 Chartrand, Gary Contributor
 Zhang, Ping 1957 Contributor
 Bernett, Rich
Useful Links
Associated Subjects
Algebra Arithmetic Binomial coefficients Calculus, Integral Combinatorial analysis Combinatorial enumeration problems Computer scienceMathematics Differential calculus Factorials Fermat's last theorem Fibonacci numbers GamesMathematics Games of chance (Mathematics) Geometry Graph theory Groups of divisibility Lucas numbers Magic tricks in mathematics education Markov processes Mathematical recreations Mathematics MathematicsStudy and teaching Matrices Mental arithmetic Mental calculators Numbers, Prime Number theory Pi Probabilities Proof theory Public key cryptography Ramsey theory Series, Infinite Trees (Graph theory) Trigonometry
Alternative Names
Arthur Benjamin Arthur Benjamin
Arthur T. Benjamin Amerikaans wiskundige
Arthur T. Benjamin matemático estadounidense
Arthur T. Benjamin mathématicien américain
Arthur T. Benjamini amerikanischer Mathematiker
Benjamin, Art 1961
Benjamin, Arthur.
Benjamin, Arthur 1961
Benjamin, Arthur (Arthur T.), 1961
Benjamin, Arthur T.
Benjamin, Arthur T. 1961
Артур Бенджамин Американский математик
Артур Т. Бенджамин Американский математик
آرتور تی. بنجامین ریاضیدان آمریکایی
벤저민, 아서
アーサー・ベンジャミン
ベンジャミン, アーサー
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