Mathematics by Experiment PDF Download

Author: Jonathan Borwein
Publisher: CRC Press
ISBN: 1439865361
Category : Mathematics
Languages : en
Pages : 393

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Book Description
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: Jonathan M. Borwein
Publisher: CRC Press
ISBN: 1439864195
Category : Mathematics
Languages : en
Pages : 372

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Book Description
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: Shangzhi Li
Publisher: World Scientific
ISBN: 9789812380500
Category : Mathematics
Languages : en
Pages : 234

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Book Description
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: V. I. Arnold
Publisher: American Mathematical Soc.
ISBN: 0821894161
Category : Mathematics
Languages : en
Pages : 170

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Book Description
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: Stephen Barr
Publisher: Courier Corporation
ISBN: 048615274X
Category : Mathematics
Languages : en
Pages : 244

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Book Description
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: Mount Holyoke College
Publisher: Springer Science & Business Media
ISBN: 9780387949222
Category : Mathematics
Languages : en
Pages : 308

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Book Description
The text is composed of a set of sixteen laboratory investigations which allow the student to explore rich and diverse ideas and concepts in mathematics. The approach is hands-on, experimental, an approach that is very much in the spirit of modern pedagogy. The course is typically offered in one semester, at the sophomore (second year) level of college. It requires completion of one year of calculus. The course provides a transition to the study of higher, abstract mathematics. The text is written independent of any software. Supplements will be available on the projects' web site.

Author: Stulgis-Blalock
Publisher: Mark Twain Media
ISBN: 1580376908
Category : Juvenile Nonfiction
Languages : en
Pages : 67

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Book Description
Make math matter to students in grades 5 and up using Math Projects! This 64-page book provides exciting individual, partner, and small-group projects that promote creative problem solving. Students compute, read, write, and utilize social and artistic skills with the more than 50 projects! The book supports NCTM standards and aligns with state, national, and Canadian provincial standards.

Author: Steve Humble
Publisher: Routledge
ISBN: 1134139535
Category : Education
Languages : en
Pages : 146

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Book Description
Mathematics at all levels is about the joy in the discovery; it's about finding things out. This fascinating book is a guide to that discovery process, presenting ideas for practical classroom-based experiments and extension activities. Each experiment is based on the work of a key mathematician who has shaped the way that the subject looks today, and there are historical notes to help teachers bring this work to life. The book includes instructions on how to recreate the experiments using practical mathematics, computer programs and graphical calculators; ideas for follow-up work; background information for teachers on the mathematics involved; and links to the new secondary numeracy strategy framework. Accompanying the book is a CD-ROM with downloadable computer programs that can be used and reworked as part of the experimental process. With a wide range of topics covered, and plenty of scope for interesting follow-up activities, the book will be a valuable tool for mathematics teachers looking to extend the curriculum.

Author: sarah-marie belcastro
Publisher: A K Peters/CRC Press
ISBN:
Category : Crafts & Hobbies
Languages : en
Pages : 214

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Book Description
"Making Mathematics with Needlework will inspire mathematicians, mathematics educators, and crafters; every chapter has an overview as well as sections on mathematics and mathematics education and detailed instructions for completing the chapter's project. All readers will be able to understand the overview sections, as they include introductions to the various fiber arts as well as summaries of the mathematical content. While the mathematics sections are written for mathematicians, the authors have made a special effort to make their work accessible to lay readers by providing definitions of mathematical terms and many diagrams. The project sections are written for crafters, so that non-mathematician readers can have a tangible experience with mathematical concepts."--BOOK JACKET.

Author: H.-C. Hege
Publisher: Springer Science & Business Media
ISBN: 3642591957
Category : Mathematics
Languages : en
Pages : 391

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Book Description
Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields. In some areas of mathematics, like differential geometry and numerical mathematics, visualization techniques are applied with great success. However, visualization methods are relying heavily on mathematical concepts. Applications of visualization in mathematical research and the use of mathematical methods in visualization have been topic of an international workshop in Berlin in June 1995. Selected contributions treat topics of particular interest in current research. Experts are reporting on their latest work, giving an overview on this fascinating new area. The reader will get insight to state-of-the-art techniques for solving visualization problems and mathematical questions.