Download or read book Lure of the Integers written by Joe Roberts and published by American Mathematical Soc.. This book was released on 2020-07-31 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Complex Numbers and Geometry written by Liang-shin Hahn and published by American Mathematical Soc.. This book was released on 2019-12-26 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to demonstrate that complex numbers and geometry can be blended together beautifully. This results in easy proofs and natural generalizations of many theorems in plane geometry, such as the Napoleon theorem, the Ptolemy-Euler theorem, the Simson theorem, and the Morley theorem. The book is self-contained—no background in complex numbers is assumed—and can be covered at a leisurely pace in a one-semester course. Many of the chapters can be read independently. Over 100 exercises are included. The book would be suitable as a text for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.

Download or read book written by and published by Odile Jacob. This book was released on with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Story Of Numbers written by Asok Kumar Mallik and published by #N/A. This book was released on 2017-07-27 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: '… this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections provide ideas and opportunities for mathematical exploration. This book might also be deemed a suitable resource for first-year undergraduates in that, via independent study, it would allow such students to broaden their knowledge of various number-theoretic ideas. I would recommend it for the purposes given above.'The Mathematical GazetteThis book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers.Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of 'Chaos'. Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail.The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level.The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

Download or read book 777 Mathematical Conversation Starters written by John de Pillis and published by Cambridge University Press. This book was released on 2002 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrated book showing that there are few degrees of separation between mathematics and topics that provoke interesting conversations.

Download or read book Mathematical Cranks written by Underwood Dudley and published by American Mathematical Soc.. This book was released on 2019-07-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A delightful collection of articles about people who claim they have achieved the mathematically impossible (squaring the circle, duplicating the cube); people who think they have done something they have not (proving Fermat's Last Theorem); people who pray in matrices; people who find the American Revolution ruled by the number 57; people who have in common eccentric mathematical views, some mild (thinking we should count by 12s instead of 10s), some bizarre (thinking that second-order differential equations will solve all problems of economics, politics and philosophy). This is a truly uniqu.

Download or read book Symmetry written by Hans Walser and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Treks From Surreal Numbers to Magic Circles written by Ivars Peterson and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematicians on Creativity written by Peter Borwein and published by American Mathematical Soc.. This book was released on 2018-09-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to shine a light on some of the issues of mathematical creativity. It is neither a philosophical treatise nor the presentation of experimental results, but a compilation of reflections from top-caliber working mathematicians. In their own words, they discuss the art and practice of their work. This approach highlights creative components of the field, illustrates the dramatic variation by individual, and hopes to express the vibrancy of creative minds at work. Mathematicians on Creativity is meant for a general audience and is probably best read by browsing.

Download or read book The Words of Mathematics An Etymological Dictionary of Mathematical Terms in English written by Steven Schwartzman and published by American Mathematical Soc.. This book was released on 1994-12-31 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the orgins of over 1500 mathematical terms used in English. This book concentrates on where those terms come from and what their literal meanings are.

Download or read book Aha A Two Volume Collection written by Martin Gardner and published by MAA. This book was released on 2006-12-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Previously published separately, the two books aha! Gotcha and aha! Insight are here combined as a single volume. The aha! books, as they are referred to by fans of Martin Gardner, contain 144 wonderful puzzles from the reigning king of recreational mathematics. In this combined volume, you will find puzzles ranging over geometry, logic, probability, statistics, number, time, combinatorics, and word play. Gardner calls these puzzles aha! problems, that 'seem difficult, and indeed are difficult if you go about trying to solve them in traditional ways. But if you can free your mind from standard problem solving techniques, you may be receptive to an aha! reaction that leads immediately to a solution. Don't be discouraged if, at first, you have difficulty with these problems. After a while you will begin to catch the spirit of offbeat, nonlinear thinking, and you may be surprised to find your aha! ability improving.'

Download or read book Mathematical Apocrypha Stories and Anecdotes of Mathematicians and the Mathematical written by Steven G. Krantz and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Illustrated Special Relativity through Its Paradoxes A Fusion of Linear Algebra Graphics and Reality written by John dePillis and published by American Mathematical Soc.. This book was released on 2013-12-31 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Assuming a minimum of technical expertise beyond basic matrix theory, the authors introduce inertial frames and Minkowski diagrams to explain the nature of simultaneity, why faster-than-light travel is impossible, and the proper way to add velocities. We resolve the twin paradox, the train-in-tunnel paradox, the pra-shooter paradox along with the lesser-known bug-rivet paradox that shows how rigidity is incompatible with special relativity. Since Einstein in his seminal 1905 paper introducing special relativity, acknowledged his debt to Clerk Maxwell, we fully develop Maxwell's four equations that unify the theories of electricity, optics, and magnetism. These equations also lead to a simple calculation for the frame independent speed of electromagnetic waves in a vacuum."--Cover.

Download or read book Out of the Mouths of Mathematicians A Quotation Book for Philomaths written by Rosemary Schmalz and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moritz's 'Memorabilia Mathematica' inspired this work, but this one differs in that sources are limited to mathematicians of the 20th century. Useful to researchers to facilitate a literature search, to writers who want to emphasize or substantiate a point, and to teachers, students, and other readeres who will have their appetite for the subject whetted by the 83 quotes. -- Book News, Inc.

Download or read book Unsolved Problems in Number Theory written by Richard Guy and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

Download or read book Proofs and Confirmations written by David M. Bressoud and published by Cambridge University Press. This book was released on 1999-08-13 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to recent developments in algebraic combinatorics and an illustration of how research in mathematics actually progresses. The author recounts the story of the search for and discovery of a proof of a formula conjectured in the late 1970s: the number of n x n alternating sign matrices, objects that generalize permutation matrices. While apparent that the conjecture must be true, the proof was elusive. Researchers became drawn to this problem, making connections to aspects of invariant theory, to symmetric functions, to hypergeometric and basic hypergeometric series, and, finally, to the six-vertex model of statistical mechanics. All these threads are brought together in Zeilberger's 1996 proof of the original conjecture. The book is accessible to anyone with a knowledge of linear algebra. Students will learn what mathematicians actually do in an interesting and new area of mathematics, and even researchers in combinatorics will find something new here.

Download or read book Mathematical Fallacies Flaws and Flimflam written by Edward Barbeau and published by MAA. This book was released on 2000-06-15 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through hard experience mathematicians have learned to subject even the most 'evident' assertions to rigorous scrutiny, as intuition can often be misleading. This book collects and analyses a mass of such errors, drawn from the work of students, textbooks, and the media, as well as from professional mathematicians themselves.