Which Way Did The Bicycle Go And Other Intriguing Mathematical Mysteries
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Which Way Did The Bicycle Go And Other Intriguing Mathematical Mysteries
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Author : Joseph D. E. Konhauser
language : en
Publisher: American Mathematical Soc.
Release Date : 1996-12-31
Which Way Did The Bicycle Go And Other Intriguing Mathematical Mysteries written by Joseph D. E. Konhauser and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-31 with Education categories.
MAA Press: An Imprint of the American Mathematical Society This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product 1⋅2⋅3⋯1,000,000 1⋅2⋅3⋯1,000,000? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.
Which Way Did The Bicycle Go
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Author : Joseph D. E. Konhauser
language : en
Publisher:
Release Date : 1997
Which Way Did The Bicycle Go written by Joseph D. E. Konhauser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematical recreations categories.
Sink Or Float
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Author : Keith Kendig
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-12-31
Sink Or Float written by Keith Kendig and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-31 with Mathematics categories.
A collection of over 250 multiple-choice problems to challenge and delight everyone from school students to professional mathematicians.
Proofs That Really Count
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Author : Arthur T. Benjamin
language : en
Publisher: American Mathematical Society
Release Date : 2022-09-21
Proofs That Really Count written by Arthur T. Benjamin and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-21 with Mathematics categories.
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, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not 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.
Biscuits Of Number Theory
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Author : Arthur T. Benjamin
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-29
Biscuits Of Number Theory written by Arthur T. Benjamin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-29 with Mathematics categories.
An anthology of articles designed to supplement a first course in number theory.
Proofs That Really Count The Art Of Combinatorial Proof
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Author : Arthur T. Benjamin
language : en
Publisher: American Mathematical Soc.
Release Date : 2003-11-13
Proofs That Really Count The Art Of Combinatorial Proof written by Arthur T. Benjamin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-13 with Education categories.
Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2006! 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, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not 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.
Charming Proofs
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Author : Claudi Alsina
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
Charming Proofs written by Claudi Alsina and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.
Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy.' Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming. Topics include the integers, selected real numbers, points in the plane, triangles, squares and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, threedimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school, college, and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving.
Conics
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Author : Keith Kendig
language : en
Publisher: American Mathematical Society
Release Date : 2020-07-29
Conics written by Keith Kendig and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-29 with Mathematics categories.
This book engages the reader in a journey of discovery through a spirited discussion among three characters: philosopher, teacher, and student. Throughout the book, philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, worked-out examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.
Linear Algebra Problem Book
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Author : Paul R. Halmos
language : en
Publisher: American Mathematical Soc.
Release Date : 1995-12-31
Linear Algebra Problem Book written by Paul R. Halmos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-31 with Mathematics categories.
Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.
A Guide To Plane Algebraic Curves
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Author : Keith Kendig
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-12-31
A Guide To Plane Algebraic Curves written by Keith Kendig and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-31 with Mathematics categories.
An accessible introduction to plane algebraic curves that also serves as a natural entry point to algebraic geometry.