Proofs from THE BOOK

Proofs from THE BOOK
Title Proofs from THE BOOK PDF eBook
Author Martin Aigner
Publisher Springer Science & Business Media
Pages 194
Release 2013-06-29
Genre Mathematics
ISBN 3662223430

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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Mathematical Encounters and Pedagogical Detours

Mathematical Encounters and Pedagogical Detours
Title Mathematical Encounters and Pedagogical Detours PDF eBook
Author Boris Koichu
Publisher Springer Nature
Pages 219
Release 2021-02-04
Genre Education
ISBN 3030584348

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This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.

Mathematical Encounters

Mathematical Encounters
Title Mathematical Encounters PDF eBook
Author Paul Chika Emekwulu
Publisher Xlibris Corporation
Pages 356
Release 2010-12-29
Genre Mathematics
ISBN 1453551034

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Norman Author Pens Innovative Math Book "Mathematical Encounters for the Inquisitive Mind" a new work by Paul Chika Emekwulu of Norman takes an original approach to math. Emekwulu, an award-winning author and motivational speaker, hopes his works has something for everyone. The work is not strictly in line with any traditional curriculum. Sample Chapters include: A Student ́s Logic Under Trial: Verifying a summation strategy for first n Fibonacci numbers From Murder Scene to Building and Transforming Word Problems into Simple Equations Using Your Intuition for Self-Empowerment Mathematics Behind Bars: My Experience with U.S. Immigration (Courtesy of The Norman Transcript)

Math!

Math!
Title Math! PDF eBook
Author Serge Lang
Publisher Springer Science & Business Media
Pages 147
Release 2013-03-14
Genre Mathematics
ISBN 1475718608

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Encounter with Mathematics

Encounter with Mathematics
Title Encounter with Mathematics PDF eBook
Author Lars Garding
Publisher Springer Science & Business Media
Pages 277
Release 2012-12-06
Genre Mathematics
ISBN 1461596416

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Trying to make mathematics understandable to the general public is a very difficult task. The writer has to take into account that his reader has very little patience with unfamiliar concepts and intricate logic and this means that large parts of mathematics are out of bounds. When planning this book, I set myself an easier goal. I wrote it for those who already know some mathematics, in particular those who study the subject the first year after high school. Its purpose is to provide a historical, scientific, and cultural frame for the parts of mathematics that meet the beginning student. Nine chapters ranging from number theory to applications are devoted to this program. Each one starts with a historical introduction, continues with a tight but complete account of some basic facts and proceeds to look at the present state of affairs including, if possible, some recent piece of research. Most of them end with one or two passages from historical mathematical papers, translated into English and edited so as to be understandable. Sometimes the reader is referred back to earlier parts of the text, but the various chapters are to a large extent independent of each other. A reader who gets stuck in the middle of a chapter can still read large parts of the others. It should be said, however, that the book is not meant to be read straight through.

Mathematical Encounters of the Second Kind

Mathematical Encounters of the Second Kind
Title Mathematical Encounters of the Second Kind PDF eBook
Author Philip J. Davis
Publisher Springer Science & Business Media
Pages 311
Release 2012-12-06
Genre Science
ISBN 1461224624

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A number of years ago, Harriet Sheridan, then Dean of Brown University, organized a series oflectures in which individual faculty members described how it came about that they entered their various fields. I was invited to participate in this series and found in the invitation an opportunity to recall events going back to my early teens. The lecture was well received and its reception encouraged me to work up an expanded version. My manuscript lay dormant all these years. In the meanwhile, sufficiently many other mathematical experiences and encounters accumulated to make this little book. My 1981 lecture is the basis of the first piece: "Napoleon's Theorem. " Although there is a connection between the first piece and the second, the four pieces here are essentially independent. The sec ond piece, "Carpenter and the Napoleon Ascription," has as its object a full description of a certain type of scholar-storyteller (of whom I have known and admired several). It is a pastiche, contain ing a salad bar selection blended together by my own imagination. This piece purports, as a secondary goal, to present a solution to a certain unsolved historical problem raised in the first piece. The third piece, "The Man Who Began His Lectures with 'Namely'," is a short reminiscence of Stefan Bergman, one of my teachers of graduate mathematics. Bergman, a remarkable person ality, was born in Poland and came to the United States in 1939.

Solving Mathematical Problems

Solving Mathematical Problems
Title Solving Mathematical Problems PDF eBook
Author Terence Tao
Publisher OUP Oxford
Pages 116
Release 2006-07-28
Genre Mathematics
ISBN 0191568694

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Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.