The Mathematical Experience, Study Edition


Book Description

Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.




Mathematics for the Mariner


Book Description

Whereas numerous tomes of comprehensive studies of navigation and related subjects are readily available for the professional navigator, there is dearth of publications suitable for the amateur navigator in a "how-to" form. Furthermore, the appearance of relatively inexpensive electronic devices, such as the GPS, has lured would-be navigators away from the traditional methods of navigation, in spite of the warnings offered by the companies producing these devices. Thus they overlook the "sine qua non" of good navigation, the determination of the current velocity, that is the set and drift. Once determined this component of the navigational triangle makes precise navigation a snap, whereas without it there is only uncertainty. Most students are turned off by the need to acquire a practical application of basic formulae employing basic trigonometry and later spherical trigonometry, methods which have evolved over the centuries from the beginning of the Age of Exploration in the early 1400's to modern days. In this text we develop the knowledge and application of these mathematical processes in such a way as to reassure the student that these techniques are not beyond his capabilities.




Formulae for the Mariner


Book Description

This book is a compilation of all the formulae that a mariner is commonly called upon to use but the exact workings of which he has perhaps forgotten. For each subject category, the author states the basic parameters in narrative form, often including a figure, graph, chart, diagram, or table, and then provides accompanying equations and their amplifications. Although some formulae that are simpler in format are propounded in other texts, many of those formulae lead to confusion in that “special rules†must be applied to them in order to obtain a correct answer. However, the rules applied to the formulae in this book work for all problems. In a great circle sailing situation, for example, the fact of whether the vertex is ahead of you or behind you does not matter—if you apply the rule(s) given in this book, you will get the correct answer. Another important feature of the book is its devotion of over ten pages of material to the international system of units (S.I.)




Mind Tools


Book Description

Originally published: Boston: Houghton Mifflin, 1987.







Circles Disturbed


Book Description

Why narrative is essential to mathematics Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier—"Don't disturb my circles"—words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds—stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of "myths of origins" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.







Reeds Vol 1: Mathematics for Marine Engineers


Book Description

This exciting new edition covers the core subject areas of arithmetic, algebra, mensuration in 2D and 3D, trigonometry and geometry, graphs, calculus and statistics and probability for Marine Engineering students. Initial examples have been designed purely to practise mathematical technique and, once these skills have been mastered, further examples focus on engineering situations where the appropriate skills may be utilised. The practical questions are primarily from a marine engineering background but questions from other disciplines, such as electrical engineering, will also be covered, and reference made to the use of advanced calculators where relevant.




The Joy of X


Book Description

A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."




The Guidebook of Federal Resources for K-12 Mathematics and Science


Book Description

Contains directories of federal agencies that promote mathematics and science education at elementary and secondary levels; organized in sections by agency name, national program name, and state highlights by region.