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Mathematical Journeys

Mathematical Journeys
Author: Peter D. Schumer
Publisher: John Wiley & Sons
Total Pages: 216
Release: 2004-02-11
Genre: Mathematics
ISBN: 9780471220664

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A colorful tour through the intriguing world of mathematics Take a grand tour of the best of modern math, its most elegant solutions, most clever discoveries, most mind-bending propositions, and most impressive personalities. Writing with a light touch while showing the real mathematics, author Peter Schumer introduces you to the history of mathematics, number theory, combinatorics, geometry, graph theory, and "recreational mathematics." Requiring only high school math and a healthy curiosity, Mathematical Journeys helps you explore all those aspects of math that mathematicians themselves find most delightful. You’ll discover brilliant, sometimes quirky and humorous tidbits like how to compute the digits of pi, the Josephus problem, mathematical amusements such as Nim and Wythoff’s game, pizza slicing, and clever twists on rolling dice.


In Code

In Code
Author: Sarah Flannery
Publisher: Algonquin Books
Total Pages: 364
Release: 2002-01-01
Genre: Biography & Autobiography
ISBN: 9781565123779

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Originally published in England and cowritten with her father, "In Code" is "a wonderfully moving story about the thrill of the mathematical chase" ("Nature") and "a paean to intellectual adventure" ("Times Educational Supplement"). A memoir in mathematics, it is all about how a girl next door became an award-winning mathematician. photo insert.


Living Proof

Living Proof
Author: Allison K. Henrich
Publisher:
Total Pages: 136
Release: 2019
Genre: Academic achievement
ISBN: 9781470452810

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Wow! This is a powerful book that addresses a long-standing elephant in the mathematics room. Many people learning math ask ``Why is math so hard for me while everyone else understands it?'' and ``Am I good enough to succeed in math?'' In answering these questions the book shares personal stories from many now-accomplished mathematicians affirming that ``You are not alone; math is hard for everyone'' and ``Yes; you are good enough.'' Along the way the book addresses other issues such as biases and prejudices that mathematicians encounter, and it provides inspiration and emotional support for mathematicians ranging from the experienced professor to the struggling mathematics student. --Michael Dorff, MAA President This book is a remarkable collection of personal reflections on what it means to be, and to become, a mathematician. Each story reveals a unique and refreshing understanding of the barriers erected by our cultural focus on ``math is hard.'' Indeed, mathematics is hard, and so are many other things--as Stephen Kennedy points out in his cogent introduction. This collection of essays offers inspiration to students of mathematics and to mathematicians at every career stage. --Jill Pipher, AMS President This book is published in cooperation with the Mathematical Association of America.


1089 and All that

1089 and All that
Author: D. J. Acheson
Publisher: Oxford University Press, USA
Total Pages: 200
Release: 2002
Genre: Mathematics
ISBN: 9780198516231

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This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famouscartoonists. This unusual book is one of the most readable explanations of mathematics available.


A Mathematical Journey to Relativity

A Mathematical Journey to Relativity
Author: Wladimir-Georges Boskoff
Publisher: Springer Nature
Total Pages: 556
Release:
Genre:
ISBN: 303154823X

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Mathematical Journeys: Math Ideas & the Secrets They Hold

Mathematical Journeys: Math Ideas & the Secrets They Hold
Author: Theoni Pappas
Publisher: Wide World Publishing
Total Pages: 160
Release: 2021-04-05
Genre: Education
ISBN: 9781884550805

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MATHEMATICAL JOURNEYS--a unique book of math ideas for teachers, homeschoolers, and anyone who wants to learn about the world of mathematics. Unlock secrets and joy behind math ideas. Discover how math concepts evolve and connect. Stimulate curiosity and the awe behind mathematics. Develop creative and inspiring ways to introduce us to mathematical ideas. Important tool enhances and enriches mathematics distance learning Are you a teacher, parent, homeschooler, or just plain curious or perplexed by mathematics, if so Mathematical Journeys will open new vistas into why math is so important and essential in our lives while expanding your knowledge of math. Pappas' new book focuses on looking at math ideas not often covered in the traditional classroom...showing us that math is more than knowing how to add, subtract or solve equations. Explore such ideas as Discovering the golds of mathematics or Delving into non-Euclidean geometries. Pappas' design and writing style makes us wanting to learn more about math.


A Mathematical Journey to Quantum Mechanics

A Mathematical Journey to Quantum Mechanics
Author: Salvatore Capozziello
Publisher: Springer Nature
Total Pages: 294
Release: 2021-09-27
Genre: Science
ISBN: 3030860981

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This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered.The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.


Journey Through Genius

Journey Through Genius
Author: William Dunham
Publisher: Penguin Books
Total Pages: 324
Release: 1991-08
Genre: Biography & Autobiography
ISBN:

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Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov


A Mathematical Bridge

A Mathematical Bridge
Author: Stephen Hewson
Publisher: World Scientific Publishing Company
Total Pages: 672
Release: 2009-01-20
Genre: Mathematics
ISBN: 9813101245

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Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.


The Ellipse

The Ellipse
Author: Arthur Mazer
Publisher: John Wiley & Sons
Total Pages: 326
Release: 2011-09-26
Genre: Mathematics
ISBN: 111821143X

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Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment. Incorporating illuminating historical background and examples, the author brings together basic concepts from geometry, algebra, trigonometry, and calculus to uncover the ellipse as the shape of a planet's orbit around the sun. The book begins with a discussion that tells the story of man's pursuit of the ellipse, from Aristarchus to Newton's successful unveiling nearly two millenniums later. The narrative draws insightful similarities between mathematical developments and the advancement of the Greeks, Romans, Medieval Europe, and Renaissance Europe. The author begins each chapter by setting the historical backdrop that is pertinent to the mathematical material that is discussed, equipping readers with the knowledge to fully grasp the presented examples and derive the ellipse as the planetary pathway. All topics are presented in both historical and mathematical contexts, and additional mathematical excursions are clearly marked so that readers have a guidepost for the materials' relevance to the development of the ellipse. The Ellipse is an excellent book for courses on the history of mathematics at the undergraduate level. It is also a fascinating reference for mathematicians, engineers, or anyone with a general interest in historical mathematics.