how to solve it a new aspect of mathematical method princeton science library

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Schule Des Denkens

Author : George Pólya
ISBN : 3772006086
Genre :
File Size : 63. 28 MB
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How To Solve It

Author : G. Polya
ISBN : 9781400828678
Genre : Mathematics
File Size : 86. 56 MB
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A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out—from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem.

Schule Des Denkens

Author : George Pólya
ISBN : OCLC:162609073
Genre :
File Size : 22. 63 MB
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Schule Des Denkens

Author : George Pólya
ISBN : OCLC:233677444
Genre : Mathematics
File Size : 42. 56 MB
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K Ein Gesp R F R Zahlen

Author : Barbara Oakley
ISBN : 9783864157813
Genre : Mathematics
File Size : 49. 96 MB
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Mathematik versteht man oder eben nicht. Der eine ist dafür natürlich begabt, dem anderen bleibt dieses Fach für immer ein Rätsel. Stimmt nicht, sagt nun Barbara Oakley und zeigt mit ihrem Buch, dass wirklich jeder ein Gespür für Zahlen hat. Mathematik braucht nämlich nicht nur analytisches Denken, sondern auch den kreativen Geist. Denn noch mehr als um Formeln geht es um die Freiheit, einen der vielen möglichen Lösungsansätze zu finden. Der Weg ist das Ziel. Und wie man zum richtigen Ergebnis kommt, ist eine Kunst, die man entwickeln, entdecken und in sich wecken kann. Die Autorin vermittelt eine Vielfalt an Techniken und Werkzeugen, die das Verständnis von Mathematik und Naturwissenschaft grundlegend verbessern. (K)ein Gespür für Zahlen nimmt Ihnen — vor allem wenn Sie sich in Schule, Uni oder Beruf mathematisch oder naturwissenschaftlich beweisen müssen — nicht nur die Grundangst, sondern stärkt Ihren Mut, Ihren mathematischen Fähigkeiten zu vertrauen. So macht Mathe Spaß!

Vom Kriege

Author : Carl von Clausewitz
ISBN : 9788027215775
Genre : History
File Size : 59. 68 MB
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"Vom Kriege" ist das Hauptwerk von Carl von Clausewitz, das sich mit der Theorie des Krieges beschäftigt. Seine Theorien über Strategie, Taktik und Philosophie hatten großen Einfluss auf die Entwicklung des Kriegswesens in allen westlichen Ländern und werden bis heute an Militärakademien gelehrt. Sie finden auch im Bereich der Unternehmensführung sowie im Marketing Anwendung. Seine Theorien sind Inhalt des Lehrplanes der Betriebswirtschaft an der Harvard University und verschiedener anderer Managementschulen. Carl Philipp Gottlieb von Clausewitz (1780-1831) war ein preußischer General, Heeresreformer und Militärtheoretiker.

Teaching Philosophy

Author : Andrea Kenkmann
ISBN : 9781441100771
Genre : Philosophy
File Size : 50. 91 MB
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In the current academic climate, teaching is often seen as secondary to research. Teaching Philosophy seeks to bring teaching philosophy higher on the academic agenda. An international team of contributors, all of whom share the view that philosophy is a subject that can transform students, offers practical guidance and advice for teachers of philosophy. The book suggests ways in which the teaching of philosophy at undergraduate level might be facilitated. Some of the essays place the emphasis on individual self discovery, others focus on the wider political context, many offer practical ideas for enhancing the teaching of philosophy through exercises that engage students in often unconventional ways. The integration of students' views on teaching provides a necessary reminder that teaching is not a one-way process, but a project that will ultimately succeed through cooperation and a shared sense of achievement amongst participants. This thoughtful and important book emphasises the responsibility of the philosophy teacher towards his or her students and to society in general.

Explanation And Proof In Mathematics

Author : Gila Hanna
ISBN : 1441905766
Genre : Education
File Size : 82. 95 MB
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In the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles). A sampling of the coverage: The conjoint origins of proof and theoretical physics in ancient Greece. Proof as bearers of mathematical knowledge. Bridging knowing and proving in mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.

Teaching Mathematical Modelling Connecting To Research And Practice

Author : Gloria Ann Stillman
ISBN : 9789400765405
Genre : Education
File Size : 52. 68 MB
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This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives. There is a strong focus on pedagogical issues for teaching and learning of modelling as well as research into teaching and practice. The teaching of applications of mathematics and mathematical modelling from the early years through primary and secondary school and at tertiary level is rising in prominence in many parts of the world commensurate with an ever-increasing usage of mathematics in business, the environment, industry and everyday life. The authors are all members of the International Community of Teachers of Mathematical Modelling and Applications and important researchers in mathematics education and mathematics. The book will be of interest to teachers, practitioners and researchers in universities, polytechnics, teacher education, curriculum and policy.​

A Wealth Of Numbers

Author : Benjamin Wardhaugh
ISBN : 9781400841981
Genre : Mathematics
File Size : 42. 24 MB
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Despite what we may sometimes imagine, popular mathematics writing didn't begin with Martin Gardner. In fact, it has a rich tradition stretching back hundreds of years. This entertaining and enlightening anthology--the first of its kind--gathers nearly one hundred fascinating selections from the past 500 years of popular math writing, bringing to life a little-known side of math history. Ranging from the late fifteenth to the late twentieth century, and drawing from books, newspapers, magazines, and websites, A Wealth of Numbers includes recreational, classroom, and work mathematics; mathematical histories and biographies; accounts of higher mathematics; explanations of mathematical instruments; discussions of how math should be taught and learned; reflections on the place of math in the world; and math in fiction and humor. Featuring many tricks, games, problems, and puzzles, as well as much history and trivia, the selections include a sixteenth-century guide to making a horizontal sundial; "Newton for the Ladies" (1739); Leonhard Euler on the idea of velocity (1760); "Mathematical Toys" (1785); a poetic version of the rule of three (1792); "Lotteries and Mountebanks" (1801); Lewis Carroll on the game of logic (1887); "Maps and Mazes" (1892); "Einstein's Real Achievement" (1921); "Riddles in Mathematics" (1945); "New Math for Parents" (1966); and "PC Astronomy" (1997). Organized by thematic chapters, each selection is placed in context by a brief introduction. A unique window into the hidden history of popular mathematics, A Wealth of Numbers will provide many hours of fun and learning to anyone who loves popular mathematics and science. Some images inside the book are unavailable due to digital copyright restrictions.

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