Mathematical Elegance

Download Mathematical Elegance full books in PDF, epub, and Kindle. Read online Mathematical Elegance ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Mathematical Elegance

Author : Steven Goldberg
Publisher : Routledge
ISBN 13 : 135150665X
Total Pages : 123 pages
Book Rating : 4.3/5 (515 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Elegance by : Steven Goldberg

Download or read book Mathematical Elegance written by Steven Goldberg and published by Routledge. This book was released on 2017-09-08 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heart of mathematics is its elegance; the way it all fits together. Unfortunately, its beauty often eludes the vast majority of people who are intimidated by fear of the difficulty of numbers. Mathematical Elegance remedies this. Using hundreds of examples, the author presents a view of the mathematical landscape that is both accessible and fascinating. At a time of concern that American youth are bored by math, there is renewed interest in improving math skills. Mathematical Elegance stimulates students, along with those already experienced in the discipline, to explore some of the unexpected pleasures of quantitative thinking. Invoking mathematical proofs famous for their simplicity and brainteasers that are fun and illuminating, the author leaves readers feeling exuberant-as well as convinced that their IQs have been raised by ten points. A host of anecdotes about well-known mathematicians humanize and provide new insights into their lofty subjects. Recalling such classic works as Lewis Carroll's Introduction to Logic and A Mathematician Reads the Newspaper by John Allen Paulos, Mathematical Elegance will energize and delight a wide audience, ranging from intellectually curious students to the enthusiastic general reader.

Mathematical Elegance

Author : Steven Goldberg
Publisher : Routledge
ISBN 13 : 1351506641
Total Pages : 159 pages
Book Rating : 4.3/5 (515 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Elegance by : Steven Goldberg

Download or read book Mathematical Elegance written by Steven Goldberg and published by Routledge. This book was released on 2017-09-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: The heart of mathematics is its elegance; the way it all fits together. Unfortunately, its beauty often eludes the vast majority of people who are intimidated by fear of the difficulty of numbers. Mathematical Elegance remedies this. Using hundreds of examples, the author presents a view of the mathematical landscape that is both accessible and fascinating. At a time of concern that American youth are bored by math, there is renewed interest in improving math skills. Mathematical Elegance stimulates students, along with those already experienced in the discipline, to explore some of the unexpected pleasures of quantitative thinking. Invoking mathematical proofs famous for their simplicity and brainteasers that are fun and illuminating, the author leaves readers feeling exuberant-as well as convinced that their IQs have been raised by ten points. A host of anecdotes about well-known mathematicians humanize and provide new insights into their lofty subjects. Recalling such classic works as Lewis Carroll's Introduction to Logic and A Mathematician Reads the Newspaper by John Allen Paulos, Mathematical Elegance will energize and delight a wide audience, ranging from intellectually curious students to the enthusiastic general reader.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Mathematical Induction

Author : Titu Andreescu
Publisher :
ISBN 13 : 9780996874595
Total Pages : 432 pages
Book Rating : 4.8/5 (745 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Induction by : Titu Andreescu

Download or read book Mathematical Induction written by Titu Andreescu and published by . This book was released on 2017-03-15 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject. Induction is one of the most important techniques used in competitions and its applications permeate almost every area of mathematics.

Charming Proofs

Author : Claudi Alsina
Publisher : MAA
ISBN 13 : 0883853485
Total Pages : 321 pages
Book Rating : 4.8/5 (838 download)

DOWNLOAD NOW!

Book Synopsis Charming Proofs by : Claudi Alsina

Download or read book Charming Proofs written by Claudi Alsina and published by MAA. This book was released on 2010 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy'. Charming Proofs presents a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, and to develop the ability to create proofs themselves. The authors consider proofs from topics such as geometry, number theory, inequalities, plane tilings, origami and polyhedra. Secondary school and university teachers can use this book to introduce their students to mathematical elegance. More than 130 exercises for the reader (with solutions) are also included.

Charming Proofs

Author : Claudi Alsina
Publisher : American Mathematical Soc.
ISBN 13 : 1614442010
Total Pages : 295 pages
Book Rating : 4.6/5 (144 download)

DOWNLOAD NOW!

Book Synopsis Charming Proofs by : Claudi Alsina

Download or read book Charming Proofs written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2010-12-31 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs 'there is a very high degree of unexpectedness, combined with inevitability and economy.' Charming Proofs present a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming. Topics include the integers, selected real numbers, points in the plane, triangles, squares and other polygons, curves, inequalities, plane tilings, origami, colorful proofs, threedimensional geometry, etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school, college, and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving.

Elegance with Substance. Mathematics and tis education designed for Ladies and Gentlemen

Author :
Publisher : Rozenberg Publishers
ISBN 13 : 9036101387
Total Pages : 112 pages
Book Rating : 4.0/5 (361 download)

DOWNLOAD NOW!

Book Synopsis Elegance with Substance. Mathematics and tis education designed for Ladies and Gentlemen by :

Download or read book Elegance with Substance. Mathematics and tis education designed for Ladies and Gentlemen written by and published by Rozenberg Publishers. This book was released on with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proofs from THE BOOK

Author : Martin Aigner
Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.6/5 (622 download)

DOWNLOAD NOW!

Book Synopsis Proofs from THE BOOK by : Martin Aigner

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Philosophy of Mathematics

Author : Thomas Bedürftig
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110470772
Total Pages : 514 pages
Book Rating : 4.1/5 (14 download)

DOWNLOAD NOW!

Book Synopsis Philosophy of Mathematics by : Thomas Bedürftig

Download or read book Philosophy of Mathematics written by Thomas Bedürftig and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-10-26 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary. Reports on historical conceptions. Thinking about today‘s mathematical doing and thinking. Recent developments. Based on the third, revised German edition. For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy. Contents On the way to the reals On the history of the philosophy of mathematics On fundamental questions of the philosophy of mathematics Sets and set theories Axiomatic approach and logic Thinking and calculating infinitesimally – First nonstandard steps Retrospection

Beliefs: A Hidden Variable in Mathematics Education?

Author : G.C. Leder
Publisher : Springer Science & Business Media
ISBN 13 : 1402010575
Total Pages : 367 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Beliefs: A Hidden Variable in Mathematics Education? by : G.C. Leder

Download or read book Beliefs: A Hidden Variable in Mathematics Education? written by G.C. Leder and published by Springer Science & Business Media. This book was released on 2002 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.

Number Theory in Mathematics Education

Author : Rina Zazkis
Publisher : Routledge
ISBN 13 : 1136501363
Total Pages : 305 pages
Book Rating : 4.1/5 (365 download)

DOWNLOAD NOW!

Book Synopsis Number Theory in Mathematics Education by : Rina Zazkis

Download or read book Number Theory in Mathematics Education written by Rina Zazkis and published by Routledge. This book was released on 2012-10-12 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

The Proof and the Pudding

Author : Jim Henle
Publisher : Princeton University Press
ISBN 13 : 069116486X
Total Pages : 176 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!

Book Synopsis The Proof and the Pudding by : Jim Henle

Download or read book The Proof and the Pudding written by Jim Henle and published by Princeton University Press. This book was released on 2015-04-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tantalizing math puzzles and cooking recipes that show how mathematical thinking is like the culinary arts Tie on your apron and step into Jim Henle's kitchen as he demonstrates how two equally savory pursuits—cooking and mathematics—have more in common than you realize. A tasty dish for gourmets of popular math, The Proof and the Pudding offers a witty and flavorful blend of mathematical treats and gastronomic delights that reveal how life in the mathematical world is tantalizingly similar to life in the kitchen. Take a tricky Sudoku puzzle and a cake that fell. Henle shows you that the best way to deal with cooking disasters is also the best way to solve math problems. Or take an L-shaped billiard table and a sudden desire for Italian potstickers. He explains how preferring geometry over algebra (or algebra over geometry) is just like preferring a California roll to chicken tikka masala. Do you want to know why playfulness is rampant in math and cooking? Or how to turn stinky cheese into an awesome ice cream treat? It’s all here: original math and original recipes plus the mathematical equivalents of vegetarianism, Asian fusion, and celebrity chefs. Pleasurable and lighthearted, The Proof and the Pudding is a feast for the intellect as well as the palate.

The Art of Mathematics

Author : Jerry P. King
Publisher : Springer
ISBN 13 : 1489963391
Total Pages : 312 pages
Book Rating : 4.4/5 (899 download)

DOWNLOAD NOW!

Book Synopsis The Art of Mathematics by : Jerry P. King

Download or read book The Art of Mathematics written by Jerry P. King and published by Springer. This book was released on 2013-11-11 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The beauty of mathematics eludes all but a small, select handful of people. This monumental classic will illuminate the aesthetic delights of mathematics for all to behold. Why should only a tiny aristocracy hold the key to appreciating the elegance of mathematics? Why should intelligent, cultured people, who can easily articulate the brilliance of Shakespeare's imagery, quake at the prospect of deciphering a simple algebraic formula? Jerry King, a mathematics professor and a poet, razes the barriers between a world of two cultures and hands us the tools for appreciating the art and treasures of this elegant discipline. In his fluid, poetic voice, he initiates us into the splendid wonders of the Mathworld. He provides us with an original framework for contemplating mathematics as art. He deepens our ultimate comprehension of art by comparing the beauty of a Rembrandt as well as a Jackson Pollock with the riches to be mined in an elegant proof. Like the great philosophers of the past, Dr. King searches for pure Truth--a quest possible today only in the realm of mathematics. With his infectious enthusiasm, he explains with utmost clarity the intellectually stimulating underpinnings of both pure and applied mathematics. He goes on to decry how our educational system has failed by perfunctorily teaching us mathematics, depriving us of the pillars of beauty upon which mathematics rests. Never before has a book spoken so eloquently to our soul in instilling an appreciation for the grandeur of mathematics. Through Dr. King, the muses of mathematics will no longer sing for others and not for us. The elegant world of mathematics awaits us all to savor.

Mathematics and Music

Author : Gerard Assayag
Publisher : Springer Science & Business Media
ISBN 13 : 9783540437277
Total Pages : 310 pages
Book Rating : 4.4/5 (372 download)

DOWNLOAD NOW!

Book Synopsis Mathematics and Music by : Gerard Assayag

Download or read book Mathematics and Music written by Gerard Assayag and published by Springer Science & Business Media. This book was released on 2002-07-10 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.

The Creativity Reader

Author : Vlad Petre Glaveanu
Publisher : Oxford University Press
ISBN 13 : 0190841729
Total Pages : 504 pages
Book Rating : 4.1/5 (98 download)

DOWNLOAD NOW!

Book Synopsis The Creativity Reader by : Vlad Petre Glaveanu

Download or read book The Creativity Reader written by Vlad Petre Glaveanu and published by Oxford University Press. This book was released on 2019-05-13 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Creativity Reader is a necessary companion for anyone interested in the historical roots of contemporary ideas about creativity, innovation, and imagination. It brings together a prestigious group of international experts who were tasked with choosing, introducing, and commenting on seminal texts focused on creativity, invention, genius, and imagination from the period of 1850 to 1950. This volume is at once retrospective and prospective: it revisits old ideas, assesses their importance today, and explores their potential for the future. Through its wide historical focus, this Reader challenges the widespread assumption that creativity research is mainly a product of the second half of the twentieth century. Featuring primary sources interpreted through the lenses of leading contemporary scholars, The Creativity Reader testifies to the incredible richness of this field of study, helps us understand its current developments, and anticipates its future directions. The texts included here, many of them little known or forgotten, are part of the living history of creativity studies. Indeed, an examination of these seminal papers helps the new generation of creativity and innovation researchers to be mindful of the past and unafraid to explore it.

The Pleasure of Pictures

Author : Jérôme Pelletier
Publisher : Routledge
ISBN 13 : 135162265X
Total Pages : 312 pages
Book Rating : 4.3/5 (516 download)

DOWNLOAD NOW!

Book Synopsis The Pleasure of Pictures by : Jérôme Pelletier

Download or read book The Pleasure of Pictures written by Jérôme Pelletier and published by Routledge. This book was released on 2018-07-17 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general aim of this volume is to investigate the nature of the relation between pictorial experience and aesthetic appreciation. In particular, it is concerned with the character and intimacy of this relationship: is there a mere causal connection between pictorial experience and aesthetic appreciation, or are the two relata constitutively associated with one another? The essays in the book’s first section investigate important conceptual issues related to the pictorial experience of paintings. In Section II, the essays discuss the notion of styles, techniques, agency, and facture, and also take into account the experience of photographic and cinematic pictures. The Pleasure of Pictures goes substantially beyond current debates in the philosophy of depiction to launch a new area of reflection in philosophical aesthetics.

Creativity in Mathematics and the Education of Gifted Students

Author : Roza Leikin
Publisher : BRILL
ISBN 13 : 9087909357
Total Pages : 419 pages
Book Rating : 4.0/5 (879 download)

DOWNLOAD NOW!

Book Synopsis Creativity in Mathematics and the Education of Gifted Students by : Roza Leikin

Download or read book Creativity in Mathematics and the Education of Gifted Students written by Roza Leikin and published by BRILL. This book was released on 2009-01-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book breaks through in the field of mathematical creativity and giftedness. It suggests directions for closing the gap between research in the field of mathematics education and research in the field of creativity and giftedness. It also outlines a research agenda for further research and development in the field.