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Laboratories in Mathematical Experimentation

Laboratories in Mathematical Experimentation
Author: Mount Holyoke College
Publisher: Springer Science & Business Media
Total Pages: 308
Release: 1997-03
Genre: Mathematics
ISBN: 9780387949222

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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.


Instructor's Manual for Laboratories in Mathematical Experimentation

Instructor's Manual for Laboratories in Mathematical Experimentation
Author: Mount Holyoke College
Publisher: Key College
Total Pages: 0
Release: 1997-05-29
Genre: Mathematics
ISBN: 9780387949987

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Intended as a companion to the authors text, Mathematical Experimentation: A Laboratory Bridge Course, this book contains teaching hints, and ideas for implementing and instructing students in performing a wide set of experiments in mathematics. It is intended for mathematics instructors who wish to design a course stressing an experimental approach to higher mathematics


Mathematics Experiments

Mathematics Experiments
Author: Shangzhi Li
Publisher: World Scientific Publishing Company
Total Pages: 228
Release: 2003-02-18
Genre: Mathematics
ISBN: 9813102438

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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.


Lab Math

Lab Math
Author: Dany Spencer Adams
Publisher: CSHL Press
Total Pages: 292
Release: 2003
Genre: Mathematics
ISBN: 9780879696344

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Work at the biology bench requires an ever-increasing knowledge of mathematical methods and formulae. This is a compilation of the most common mathematical concepts and methods in molecular biology, with clear, straightforward guidance on their application to research investigations.


Experimentation in Mathematics

Experimentation in Mathematics
Author: Jonathan M. Borwein
Publisher: CRC Press
Total Pages: 372
Release: 2004-04-12
Genre: Mathematics
ISBN: 1439864195

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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


World as Laboratory

World as Laboratory
Author: Rebecca Lemov
Publisher: Macmillan + ORM
Total Pages: 378
Release: 2006-11-28
Genre: Science
ISBN: 0374707294

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Deeply researched, World as Laboratory tells a secret history that's not really a secret. The fruits of human engineering are all around us: advertising, polls, focus groups, the ubiquitous habit of "spin" practiced by marketers and politicians. What Rebecca Lemov cleverly traces for the first time is how the absurd, the practical, and the dangerous experiments of the human engineers of the first half of the twentieth century left their laboratories to become our day-to-day reality.


Differential Equations Laboratory Workbook

Differential Equations Laboratory Workbook
Author: Robert L. Borrelli
Publisher: Wiley
Total Pages: 368
Release: 1992-09-18
Genre: Mathematics
ISBN: 9780471551423

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Using an approach which closely parallels what goes on in science and engineering laboratories, this workbook provides computer experiments that amplify topics found in introductory ordinary differential equations texts. Excellent 2 and 3-D graphics illustrate the range of qualitative behavior of solutions and give compelling visual evidence of theoretical deductions and a greater understanding of the qualitative properties. The experiments are largely self-contained and are independent of any particular hardware/software platform or text.


Mathematica Laboratories for Mathematical Statistics

Mathematica Laboratories for Mathematical Statistics
Author: Jenny A. Baglivo
Publisher: SIAM
Total Pages: 273
Release: 2005-01-01
Genre: Mathematics
ISBN: 0898718414

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Integrating computers into mathematical statistics courses allows students to simulate experiments and visualize their results, handle larger data sets, analyze data more quickly, and compare the results of classical methods of data analysis with those using alternative techniques. This text presents a concise introduction to the concepts of probability theory and mathematical statistics. The accompanying in-class and take-home computer laboratory activities reinforce the techniques introduced in the text and are accessible to students with little or no experience with Mathematica. These laboratory materials present applications in a variety of real-world settings, with data from epidemiology, environmental sciences, medicine, social sciences, physical sciences, manufacturing, engineering, marketing, and sports. Mathematica Laboratories for Mathematical Statistics: Emphasizing Simulation and Computer Intensive Methods includes parametric, nonparametric, permutation, bootstrap and diagnostic methods. Chapters on permutation and bootstrap techniques follow the formal inference chapters and precede the chapters on intermediate-level topics. Permutation and bootstrap methods are discussed side by side with classical methods in the later chapters.