The Heart Of Mathematics

Author : Edward B. Burger,Michael Starbird
Publisher : Springer Science & Business Media
Page : 798 pages
File Size : 52,7 Mb
Release : 2004-08-18
Category : Mathematics
ISBN : 1931914419

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The Heart of Mathematics by Edward B. Burger,Michael Starbird Pdf

Hallmark features include: * A focus on the important ideas of mathematics that students will retain long after their formal studies are complete. * An engaging and humorous style, written to be read and enjoyed. * Ten Life Lessons that readers will apply beyond their study of mathematics. * Use of a variety of visualization techniques that direct students to model their thinking and to actively explore the world around them. New to this Edition: * A new chapter, Deciding Wisely: Applications of Rigorous Thought, provides a thought-provoking capstone. * Expanded and improved statistics and probability content in Chapter 7, Taming Uncertainty. * Enhanced Mindscapes at the end of each section which ask the reader to review, apply and think deeply about the ideas presented in the chapter. * Radically superior ancillary package.

Author : Edward B. Burger,Michael Starbird
Publisher : John Wiley & Sons
Page : 948 pages
File Size : 48,5 Mb
Release : 2009-08-01
Category : Mathematics
ISBN : 0470586591

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The Heart of Mathematics by Edward B. Burger,Michael Starbird Pdf

The Heart of Mathematics: An invitation to effective thinking --now in its second edition--succeeds at reaching non-math, non-science-oriented readers and encourages them to discover the mathematics inherent in the world around them. Infused throughout with the authors' humor and enthusiasm, The Heart of Mathematics introduces readers to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.

Author : Edward Frenkel
Publisher : Basic Books
Page : 314 pages
File Size : 42,7 Mb
Release : 2013-10-01
Category : Mathematics
ISBN : 9780465069958

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Love and Math by Edward Frenkel Pdf

An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Author : Edward B. Burger
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2013-08-30
Category : Electronic
ISBN : 1118794338

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The Heart of Mathematics by Edward B. Burger Pdf

Author : Jerry P. King
Publisher : Springer
Page : 312 pages
File Size : 41,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781489963390

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The Art of Mathematics by Jerry P. King Pdf

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.

Author : Reuben Hersh
Publisher : Oxford University Press
Page : 368 pages
File Size : 53,6 Mb
Release : 1997-08-21
Category : Mathematics
ISBN : 9780198027362

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What Is Mathematics, Really? by Reuben Hersh Pdf

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

Author : Edward B. Burger,Michael Starbird
Publisher : Princeton University Press
Page : 168 pages
File Size : 40,5 Mb
Release : 2012-08-26
Category : Self-Help
ISBN : 9781400844562

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The 5 Elements of Effective Thinking by Edward B. Burger,Michael Starbird Pdf

Simple but powerful strategies for increasing your success by improving your thinking The 5 Elements of Effective Thinking presents practical, lively, and inspiring ways for you to become more successful through better thinking. The idea is simple: You can learn how to think far better by adopting specific strategies. Brilliant people aren't a special breed—they just use their minds differently. By using the straightforward and thought-provoking techniques in The 5 Elements of Effective Thinking, you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself—revealing previously hidden opportunities. The book offers real-life stories, explicit action items, and concrete methods that allow you to attain a deeper understanding of any issue, exploit the power of failure as a step toward success, develop a habit of creating probing questions, see the world of ideas as an ever-flowing stream of thought, and embrace the uplifting reality that we are all capable of change. No matter who you are, the practical mind-sets introduced in the book will empower you to realize any goal in a more creative, intelligent, and effective manner. Filled with engaging examples that unlock truths about thinking in every walk of life, The 5 Elements of Effective Thinking is written for all who want to reach their fullest potential—including students, parents, teachers, businesspeople, professionals, athletes, artists, leaders, and lifelong learners. Whenever you are stuck, need a new idea, or want to learn and grow, The 5 Elements of Effective Thinking will inspire and guide you on your way.

Author : Edward B. Burger,Key College Publishing,Deborah Bergstrand,Michael P. Starbird
Publisher : Unknown
Page : 536 pages
File Size : 43,6 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 1931914532

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The Heart of Mathematics by Edward B. Burger,Key College Publishing,Deborah Bergstrand,Michael P. Starbird Pdf

Author : J.R. Lucas
Publisher : Routledge
Page : 472 pages
File Size : 50,8 Mb
Release : 2002-09-11
Category : Philosophy
ISBN : 9781134622276

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Conceptual Roots of Mathematics by J.R. Lucas Pdf

The Conceptual Roots of Mathematics is a comprehensive study of the foundation of mathematics. J.R. Lucas, one of the most distinguished Oxford scholars, covers a vast amount of ground in the philosophy of mathematics, showing us that it is actually at the heart of the study of epistemology and metaphysics.

Author : Morris Kline
Publisher : Courier Corporation
Page : 514 pages
File Size : 53,8 Mb
Release : 2012-03-15
Category : Mathematics
ISBN : 9780486136318

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Mathematics and the Physical World by Morris Kline Pdf

Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

Author : Edward B. Burger
Publisher : Wiley
Page : 0 pages
File Size : 43,8 Mb
Release : 2012-11-20
Category : Mathematics
ISBN : 1118371062

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The Heart of Mathematics by Edward B. Burger Pdf

'The Heart of Mathematics' succeeds at reaching non-math, non-science-oriented majors and encouraging them to discover the mathematics inherent in the world around them.

Author : J Mason,L. Burton,K. Stacey
Publisher : Pearson Higher Ed
Page : 266 pages
File Size : 41,6 Mb
Release : 2011-01-10
Category : Mathematics
ISBN : 9780273728924

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Thnking Mathematically by J Mason,L. Burton,K. Stacey Pdf

Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.

Author : Francis Su
Publisher : Yale University Press
Page : 287 pages
File Size : 51,5 Mb
Release : 2020-01-07
Category : Mathematics
ISBN : 9780300237139

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Mathematics for Human Flourishing by Francis Su Pdf

"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.

Author : David Jackman Whitin,Sandra Wilde
Publisher : Heinemann Educational Books
Page : 244 pages
File Size : 53,5 Mb
Release : 1995
Category : Education
ISBN : UOM:49015002136985

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It's the Story that Counts by David Jackman Whitin,Sandra Wilde Pdf

David Whitin and Sandra Wilde continue to explore the importance of children's literature in the teaching and learning of mathematics. They show how books help portray mathematics as it really is: a tool for making sense of our world.

Author : Constance Reid
Publisher : American Mathematical Soc.
Page : 123 pages
File Size : 41,7 Mb
Release : 2020-08-03
Category : Mathematics
ISBN : 9781470457358

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Julia: A Life in Mathematics by Constance Reid Pdf

In high school, Julia Bowman stood alone as the only girl - and the best student - in the junior and senior math classes. She had only one close friend and no boyfriends. Although she was to learn that there are such people as mathematicians, her ambition was merely to get a job teaching mathematics in high school. At great sacrifice, her widowed stepmother sent her to the University of California at Berkeley. But at Berkeley, in a society of mathematicians, she discovered herself. There was also a prince at Berkeley, a brilliant young assistant professor named Raphael Robinson. Theirs was to be a marriage that would endure until her death in 1985. Julia is the story of Julia Bowman Robinson, the gifted and highly original mathematician who during her lifetime was recognized in ways that no other woman mathematician had ever been recognized. This unusual book brings together in one volume the prize winning Autobiography of Julia Robinson by her sister, the popular mathematical biographer Constance Reid, and three very personal articles about her work by outstanding mathematical colleagues.