Mathematics By Experiment

Author : Jonathan Borwein
Publisher : CRC Press
ISBN 13 : 1439865361
Total Pages : 393 pages
Book Rating : 4.61/5 ( download)

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Download or read book Mathematics by Experiment written by Jonathan Borwein and published by CRC Press. This book was released on 2008-10-27 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P

Author : V. I. Arnold
Publisher : American Mathematical Soc.
ISBN 13 : 0821894161
Total Pages : 170 pages
Book Rating : 4.63/5 ( download)

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Download or read book Experimental Mathematics written by V. I. Arnold and published by American Mathematical Soc.. This book was released on 2015-07-14 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the traditional ways mathematical ideas and even new areas of mathematics are created is from experiments. One of the best-known examples is that of the Fermat hypothesis, which was conjectured by Fermat in his attempts to find integer solutions for the famous Fermat equation. This hypothesis led to the creation of a whole field of knowledge, but it was proved only after several hundred years. This book, based on the author's lectures, presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open, i.e., are neither proved nor disproved. The hypotheses range from geometry and topology (statistics of plane curves and smooth functions) to combinatorics (combinatorial complexity and random permutations) to algebra and number theory (continuous fractions and Galois groups). For each subject, the author describes the problem and presents numerical results that led him to a particular conjecture. In the majority of cases there is an indication of how the readers can approach the formulated conjectures (at least by conducting more numerical experiments). Written in Arnold's unique style, the book is intended for a wide range of mathematicians, from high school students interested in exploring unusual areas of mathematics on their own, to college and graduate students, to researchers interested in gaining a new, somewhat nontraditional perspective on doing mathematics. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Author : Jonathan M. Borwein
Publisher : A K Peters Ltd
ISBN 13 : 9781568812113
Total Pages : 288 pages
Book Rating : 4.16/5 ( download)

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Download or read book Mathematics by Experiment, 2nd Edition written by Jonathan M. Borwein and published by A K Peters Ltd. This book was released on 2004 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new approach to mathematics---the utilization of advanced computing technology in mathematical research---is often called experimental mathematics. The computer provides the mathematician with a "laboratory" in which she can perform experiments---analyzing examples, testing out new ideas, or searching for patterns. This book presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology. For more examples and insights, the book, "Experimentation in Mathematics: Computational Paths to Discovery" is a highly recommended companion.

Author : Stephen Barr
Publisher : Courier Corporation
ISBN 13 : 048615274X
Total Pages : 244 pages
Book Rating : 4.45/5 ( download)

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Download or read book Experiments in Topology written by Stephen Barr and published by Courier Corporation. This book was released on 2012-12-04 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.

Author : Jonathan M. Borwein
Publisher : CRC Press
ISBN 13 : 1439864195
Total Pages : 372 pages
Book Rating : 4.97/5 ( download)

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Download or read book Experimentation in Mathematics written by Jonathan M. Borwein and published by CRC Press. This book was released on 2004-04-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of

Author : Jonathan Borwein
Publisher : A K Peters/CRC Press
ISBN 13 : 9781568814421
Total Pages : 0 pages
Book Rating : 4.29/5 ( download)

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Download or read book Mathematics by Experiment, 2nd Edition written by Jonathan Borwein and published by A K Peters/CRC Press. This book was released on 2008-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational Paths to Discovery is a highly recommended companion.

Author : DK
Publisher : Penguin
ISBN 13 : 0744052718
Total Pages : 160 pages
Book Rating : 4.18/5 ( download)

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Download or read book Math Maker Lab written by DK and published by Penguin. This book was released on 2021-07-13 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fun and engaging STEM activity book for kids that combines creativity and calculations - perfect for budding mathematicians! This is the perfect math exercise book for children interested in the STEM field. Choose between 27 creative projects and experiments that will turn your child into a math whizz! It's the perfect book for curious minds interested in taking the mystery out of math. Explore the exciting world of numbers and math problem-solving! In the pages of this math book for kids you’ll discover: • 27 hands-on creative projects to engage reluctant mathematicians between the ages of 9-12 • Easy-to-follow step-by-step instructions will show you how to make each project • All materials used can be easily found around your home with no specialist equipment needed • Every project includes an explanation of how math is involved in creating the project or the results of the experiment • Real-world math projects show that math isn’t just abstract - it has an impact in the real world too! Produced in conjunction with the Smithsonian Institution, SI Math Maker Lab is designed to appeal to math geeks and those that prefer practical projects. To complete these engaging projects, kids don’t need to be math geniuses or even know how to use a calculator. Each task comes with easy-to-follow instructions, photographs, and illustrations to help whip up super cool mathematics creations! SI Math Maker Lab features interesting activities that cover many aspects of the subject including measurement, geometry, and trigonometry. Kids will combine art and math by learning to draw impossible objects - creating beautiful patterns to make things like a timetable dreamcatcher or perfect the ratio for making refreshing fruit drinks. Each project has an explanatory box that demonstrates how math is applied to the activity to demystify and make math fun!

Author : Eddie Woo
Publisher : The Experiment
ISBN 13 : 1615196129
Total Pages : 321 pages
Book Rating : 4.28/5 ( download)

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Download or read book It’s a Numberful World written by Eddie Woo and published by The Experiment. This book was released on 2019-09-03 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2021 Mathical Honor Book Why aren’t left-handers extinct? What makes a rainbow round? How is a pancreas . . . like a pendulum? Publisher's note: It's a Numberful World was published in Australia under the title Woo's Wonderful World of Maths. These may not look like math questions, but they are—because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo’s life—by turning the “dry” subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the “branches” of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea! Here are twenty-six bite-size chapters on the hidden mathematical marvels that encrypt our email, enchant our senses, and even keep us alive—from the sine waves we hear as “music” to the mysterious golden ratio. This book will change your mind about what math can be. We are all born mathematicians—and It’s a Numberful World.

Author : Shangzhi Li
Publisher : World Scientific
ISBN 13 : 9789812380500
Total Pages : 234 pages
Book Rating : 4.07/5 ( download)

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Download or read book Mathematics Experiments written by Shangzhi Li and published by World Scientific. This book was released on 2003 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Owing to the advent of computers, experiments are becoming an increasingly important part of mathematics. This book provides guidance to students doing experiments in mathematics. The aim is to stimulate interest in mathematics through examples and experiments. Each experiment in the book starts with an interesting problem. The students are expected to work with these problems on computers, try to find the solutions themselves, and experience the scientific exploration in the process. The problems which the authors have chosen cover a wide spectrum in mathematics, ranging from calculus, number theory, coding and probability to geometry and chaos. They are introduced in a simple way and yet show great depth. The discussions are thorough but not lengthy. This book is useful not only to mathematics students, but also to students in all areas of sciences who are interested in learning some of the mathematical tools. It provides a hands-on approach to the most fundamental issues in mathematics -- an approach which may help to revolutionize the teaching of mathematics.

Author : Udar Nivol
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781492793380
Total Pages : 172 pages
Book Rating : 4.88/5 ( download)

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Download or read book Math Experiment - 300 Word Problems for Second Grade Contests written by Udar Nivol and published by Createspace Independent Publishing Platform. This book was released on 2013-10-02 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: -------------------------***New, corrected edition***Thanks everyone who sent me emails and pointed to the typos in the book! They are all corrected now.------------------------- This book has everything a parent or a teacher wound need to have to instill the love for Math in a second grader's heart. It was written by a parent of a second grader, with a long and lasting passion for math, who started to go to math contests when he was at his son's age. He wanted to share with his son everything he knew and loved about Math. This book is also an experiment, a documented approach to Math teaching that goes beyond curriculum, and inspire the imagination and the creativity. The kids can learn about famous Math prodigies like Srinivasa Ramanujan, a self-taught mathematician, or Terence Tao, the youngest participant to date in the International Math Olympiad. They can also learn about astronauts whose determination and math knowledge helped them to survive in critical missions. And they can also solve the hundreds of problems in the book, specially tailored for Math contests for second grade. The problems are arranged in 4 levels of difficulty that can take the child to very high performances in Math. This is an ongoing experiment, so please join us in our journey and see how far along we can go. Drop us a line of encouragement and feel free to praise the kids when the rich milestones. They will appreciate and feel obliged. You can find us at www.facebook.com/mathexperiment.In short, this is what the book is about: 300 word problems for high achievers Tested methods for successfully running a Math Club for 2nd graders Information about math contests and math personalities across the world 4 levels of difficulty that can gradually bring the students to very high math performances Full solutions for all the problems, not just answers