The Heart Of Mathematics

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The Heart of Mathematics

Author : Edward B. Burger
Publisher : Springer Science & Business Media
ISBN 13 : 9781931914413
Total Pages : 798 pages
Book Rating : 4.9/5 (144 download)

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Book Synopsis The Heart of Mathematics by : Edward B. Burger

Download or read book The Heart of Mathematics written by Edward B. Burger and published by Springer Science & Business Media. This book was released on 2004-08-18 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Heart of Mathematics

Author : Edward B. Burger
Publisher : John Wiley & Sons
ISBN 13 : 9780470586594
Total Pages : 948 pages
Book Rating : 4.5/5 (865 download)

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Book Synopsis The Heart of Mathematics by : Edward B. Burger

Download or read book The Heart of Mathematics written by Edward B. Burger and published by John Wiley & Sons. This book was released on 2009-08-01 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Love and Math

Author : Edward Frenkel
Publisher : Basic Books
ISBN 13 : 0465069959
Total Pages : 314 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Love and Math by : Edward Frenkel

Download or read book Love and Math written by Edward Frenkel and published by Basic Books. This book was released on 2013-10-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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)

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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.

Mathematics and the Physical World

Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486136310
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics and the Physical World by : Morris Kline

Download or read book Mathematics and the Physical World written by Morris Kline and published by Courier Corporation. This book was released on 2012-03-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Coincidences, Chaos, and All that Math Jazz

Author : Edward B. Burger
Publisher : W. W. Norton & Company
ISBN 13 : 9780393059458
Total Pages : 300 pages
Book Rating : 4.0/5 (594 download)

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Book Synopsis Coincidences, Chaos, and All that Math Jazz by : Edward B. Burger

Download or read book Coincidences, Chaos, and All that Math Jazz written by Edward B. Burger and published by W. W. Norton & Company. This book was released on 2005 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: An explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, and the shape of the universe as reflected by a twisted strip of paper.

The 5 Elements of Effective Thinking

Author : Edward B. Burger
Publisher : Princeton University Press
ISBN 13 : 0691156662
Total Pages : 168 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The 5 Elements of Effective Thinking by : Edward B. Burger

Download or read book The 5 Elements of Effective Thinking written by Edward B. Burger and published by Princeton University Press. This book was released on 2012-08-26 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers real-life stories, items, and methods that allow for a deeper understanding of any issue, provide the power to use failure as a step toward success, and develop a habit of creating probing questions.

Problem-Solving Strategies

Author : Arthur Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Principles of Mathematics Book 1 Teacher Guide

Author : Katherine Loop
Publisher : New Leaf Publishing Group
ISBN 13 : 0890519919
Total Pages : 31 pages
Book Rating : 4.8/5 (95 download)

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Book Synopsis Principles of Mathematics Book 1 Teacher Guide by : Katherine Loop

Download or read book Principles of Mathematics Book 1 Teacher Guide written by Katherine Loop and published by New Leaf Publishing Group. This book was released on 2016-08-05 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher Guide for Book 1 of the Principles of Mathematics - Biblical Worldview Curriculum for junior high! Math is a real-life tool that points us to God and helps us explore His creation, yet it often comes across as dry facts and meaningless rules. Here at last is a curriculum that has a biblical worldview integrated throughout the text and problems, not just added as an afterthought. The resources in the Teacher Guide will help students master and apply the skills learned in the Student Textbook. What does this Teacher Guide include? Worksheets, Quizzes, and Tests: These perforated, three-hole punched pages help provide practice on the principles taught in the main student textbook.Answer Keys: The answers are included for the worksheets, quizzes, and tests found in this Teacher Guide.Schedule: A suggested calendar schedule is provided for completing the material in one year, though this can be adapted to meet individual student needs. There is also an accelerated schedule for completing the material in one semester. Are there any prerequisites for this course? This curriculum is aimed at grades 6-8, fitting into most math approaches the year or two years prior to starting high school algebra. If following traditional grade levels, Book 1 should be completed in grade 6 or 7, and Book 2 in grade 7 or 8. In Book 1 students should have a basic knowledge of arithmetic (basic arithmetic will be reviewed, but at a fast pace and while teaching problem-solving skills and a biblical worldview of math) and sufficient mental development to think through the concepts and examples given. Typically, anyone in sixth grade or higher should be prepared to begin. The focus of the course is actually learning math for life, not simply preparing to pass a test.

Proof and the Art of Mathematics

Author : Joel David Hamkins
Publisher : MIT Press
ISBN 13 : 0262362562
Total Pages : 132 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Proof and the Art of Mathematics by : Joel David Hamkins

Download or read book Proof and the Art of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-02-23 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs. The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.

The Heart of Mathematics

Author : Edward B. Burger
Publisher :
ISBN 13 : 9781931914536
Total Pages : 536 pages
Book Rating : 4.9/5 (145 download)

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Book Synopsis The Heart of Mathematics by : Edward B. Burger

Download or read book The Heart of Mathematics written by Edward B. Burger and published by . This book was released on 2004-01-01 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on the Philosophy of Mathematics

Author : Joel David Hamkins
Publisher : MIT Press
ISBN 13 : 0262542234
Total Pages : 350 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Lectures on the Philosophy of Mathematics by : Joel David Hamkins

Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

The Art of the Infinite

Author : Robert Kaplan
Publisher : Bloomsbury Publishing USA
ISBN 13 : 1608198693
Total Pages : 417 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis The Art of the Infinite by : Robert Kaplan

Download or read book The Art of the Infinite written by Robert Kaplan and published by Bloomsbury Publishing USA. This book was released on 2014-02-04 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traces the development of mathematical thinking and describes the characteristics of the "republic of numbers" in terms of humankind's fascination with, and growing knowledge of, infinity.

When We Cease to Understand the World

Author : Benjamín Labatut
Publisher : Pushkin Press
ISBN 13 : 1782276130
Total Pages : 185 pages
Book Rating : 4.7/5 (822 download)

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Book Synopsis When We Cease to Understand the World by : Benjamín Labatut

Download or read book When We Cease to Understand the World written by Benjamín Labatut and published by Pushkin Press. This book was released on 2020-09-03 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: SELECTED FOR BARACK OBAMA'S SUMMER READING LIST 'A monstrous and brilliant book' Philip Pullman 'Wholly mesmerising and revelatory... Completely fascinating' William Boyd Sometimes discovery brings destruction When We Cease to Understand the World shows us great minds striking out into dangerous, uncharted terrain. Fritz Haber, Alexander Grothendieck, Werner Heisenberg, Erwin Schrödinger: these are among the luminaries into whose troubled lives we are thrust as they grapple with the most profound questions of existence. They have strokes of unparalleled genius, they alienate friends and lovers, they descend into isolated states of madness. Some of their discoveries revolutionise our world for the better; others pave the way to chaos and unimaginable suffering. The lines are never clear. With breakneck pace and wondrous detail, Benjamín Labatut uses the imaginative resources of fiction to break open the stories of scientists and mathematicians who expanded our notions of the possible.

Mathematics for the Physical Sciences

Author : Herbert S Wilf
Publisher : Courier Corporation
ISBN 13 : 0486153347
Total Pages : 304 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics for the Physical Sciences by : Herbert S Wilf

Download or read book Mathematics for the Physical Sciences written by Herbert S Wilf and published by Courier Corporation. This book was released on 2013-01-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.

The Foundations of Mathematics

Author : Thomas Q. Sibley
Publisher : John Wiley & Sons
ISBN 13 : 0470085010
Total Pages : 817 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis The Foundations of Mathematics by : Thomas Q. Sibley

Download or read book The Foundations of Mathematics written by Thomas Q. Sibley and published by John Wiley & Sons. This book was released on 2008-04-07 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Foundations of Mathematics provides a careful introduction to proofs in mathematics, along with basic concepts of logic, set theory and other broadly used areas of mathematics. The concepts are introduced in a pedagogically effective manner without compromising mathematical accuracy and completeness. Thus, in Part I students explore concepts before they use them in proofs. The exercises range from reading comprehension questions and many standard exercises to proving more challenging statements, formulating conjectures and critiquing a variety of false and questionable proofs. The discussion of metamathematics, including Gödel’s Theorems, and philosophy of mathematics provides an unusual and valuable addition compared to other similar texts

Task Design In Mathematics Education

Author : Anne Watson
Publisher : Springer
ISBN 13 : 331909629X
Total Pages : 339 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Task Design In Mathematics Education by : Anne Watson

Download or read book Task Design In Mathematics Education written by Anne Watson and published by Springer. This book was released on 2015-10-26 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.