Crux Mathematicorum with Mathematical Mayhem

Crux Mathematicorum with Mathematical Mayhem
Author:
Publisher:
Total Pages: 552
Release: 2007
Genre: Electronic journals
ISBN:

Problem-solving journal at the senior secondary and university undergraduate levels for those who practice or teach mathematics. Primarily educational in purpose, it also serves those who read it for professional, cultural and recreational reasons.

Rediscovering Mathematics

Rediscovering Mathematics
Author: Shai Simonson
Publisher: American Mathematical Soc.
Total Pages: 241
Release: 2019-07-30
Genre: Education
ISBN: 1470451204

Rediscovering Mathematics is aimed at a general audience and addresses the question of how best to teach and study mathematics. The book attempts to bring the exciting and dynamic world of mathematics to a non-technical audience. With so much focus today on how best to educate the new generation and make mathematics less rote and more interactive, this book is an eye-opening experience for many people who suffered with dull math teachers and curricula. Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on problem solving, and discouraging rote memorization, the book shows how to learn and teach mathematics through investigation, experimentation, and discovery. Rediscovering Mathematics is also an excellent text for training math teachers at all levels. Topics range in difficulty and cover a wide range of historical periods, with some examples demonstrating how to uncover mathematics in everyday life, including: number theory and its application to secure communication over the Internet, the algebraic and combinatorial work of a medieval mathematician Rabbi, and applications of probability to sports, casinos, and gambling. Rediscovering Mathematics provides a fresh view of mathematics for those who already like the subject, and offers a second chance for those who think they don't.

The Universe in Zero Words

The Universe in Zero Words
Author: Dana Mackenzie
Publisher: Princeton University Press
Total Pages: 224
Release: 2013-08-25
Genre: Mathematics
ISBN: 0691160163

Most popular books about science, and even about mathematics, tiptoe around equations as if they were something to be hidden from the reader's tender eyes. Dana Mackenzie starts from the opposite premise: He celebrates equations. No history of art would be complete without pictures. Why, then, should a history of mathematics--the universal language of science--keep the masterpieces of the subject hidden behind a veil? The Universe in Zero Words tells the history of twenty-four great and beautiful equations that have shaped mathematics, science, and society--from the elementary (1+1=2) to the sophisticated (the Black-Scholes formula for financial derivatives), and from the famous (E=mc2) to the arcane (Hamilton's quaternion equations). Mackenzie, who has been called "a popular-science ace" by Booklist magazine, lucidly explains what each equation means, who discovered it (and how), and how it has affected our lives. Illustrated in color throughout, the book tells the human and often-surprising stories behind the invention or discovery of the equations, from how a bad cigar changed the course of quantum mechanics to why whales (if they could communicate with us) would teach us a totally different concept of geometry. At the same time, the book shows why these equations have something timeless to say about the universe, and how they do it with an economy (zero words) that no other form of human expression can match. The Universe in Zero Words is the ultimate introduction and guide to equations that have changed the world.

Mathematical Vistas

Mathematical Vistas
Author: Peter Hilton
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475736819

This book collects nine related mathematical essays which will intrigue and inform. From the reviews: "The authors put their writing where their talents are, and students get to see just how alive mathematics is...there is much to commend the book. It contains plenty of interesting mathematics, often going in unusual directions. I like the diagrams; the authors have chosen mathematics that involves especially pretty ones." --THE MATHEMATICAL ASSOCIATION OF AMERICA

Voltaire’s Riddle

Voltaire’s Riddle
Author: Andrew J. Simoson
Publisher: American Mathematical Soc.
Total Pages: 397
Release: 2020-07-29
Genre: Mathematics
ISBN: 1470458454

Crux Mathematicorum

Crux Mathematicorum
Author:
Publisher:
Total Pages: 428
Release: 1996
Genre: Mathematics
ISBN:

Problem-solving journal at the senior secondary and university undergraduate levels for those who practice or teach mathematics. Primarily educational in purpose, it also serves those who read it for professional, cultural and recreational reasons.

Functional Equations and How to Solve Them

Functional Equations and How to Solve Them
Author: Christopher G. Small
Publisher: Springer Science & Business Media
Total Pages: 139
Release: 2007-04-03
Genre: Mathematics
ISBN: 0387489010

Many books have been written on the theory of functional equations, but very few help readers solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. Each chapter includes a list of problems associated with the covered material. These vary in difficulty, with the easiest being accessible to any high school student who has read the chapter carefully. The most difficult will challenge students studying for the International Mathematical Olympiad or the Putnam Competition. An appendix provides a springboard for further investigation of the concepts of limits, infinite series and continuity.

Excursions in Classical Analysis

Excursions in Classical Analysis
Author: Hongwei Chen
Publisher: American Mathematical Soc.
Total Pages: 317
Release: 2010-12-31
Genre: Mathematics
ISBN: 0883859351

Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof. The [Author]; presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that, at first glance, might not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis. The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order.