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Author: Adolf A Jushkevic
Publisher:
ISBN: 9783034873833
Category :
Languages : en
Pages : 268
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Book Description
Author: Adolf A Jushkevic
Publisher:
ISBN: 9783034873833
Category :
Languages : en
Pages : 268
Get Book Here
Book Description
Author: Adolf A. Jushkevic
Publisher: Birkhäuser
ISBN: 3034873824
Category : Mathematics
Languages : en
Pages : 261
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Book Description
Als P.R. Fuss, ein Urenkel Leonhard Eulers und seinerzeit standi ger Sekretar der Petersburger Akademie der Wissenschaften, das zweibandige Werk Mathematischer und physikalischer Briefwech sel einiger bedeutender Geometer des 18. Jahrhunderts heraus gab, reservierte er den erst en Band fiir den Briefwechsel seines 1 beriihmten UrgroBvaters mit dessen Freund Christian Goldbach. 1m zweiten Band nimmt die Korrespondenz Goldbachs mit zwei 2 Vert ret ern der Familie Bernoulli, mit Nikolaus II und Daniel, einen beachtlichen Platz - mehr als 300 Seiten - ein. AIle diese Gelehrten des 18. Jahrhunderts waren Mitglieder der Pe tersburger Akademie der Wissenschaften. Euler und Daniel Ber noulli genieBen Weltruhm, Nikolaus II Bernoulli starb ganz jung, ohne geniigend Zeit gehabt zu haben, sein offensichtlich vorhan denes Talent zu entfalten. Goldbachs wissenschaftliche Verdienste sind weitaus weniger bekannt, obwohl jeder Mathematiker schon etwas von der Goldbachschen Vermutung in der Zahlentheorie gehort hat. Fuss auBerte sich tiber Goldbach folgendermaBen: {laquo}Sein Briefwechsel zeigt, daB es der graBen Breite seiner Kennt nisse geschuldet ist, wenn er auf keinem Spezialgebiet beriihmt wurde. Bald sehen wir ihn mit Bayer knifRige Fragen der klassi schen und orientalischen Philologie behandeln; bald laBt er sich auf endlose Streitereien liber Archaologie mit dem berlihmten Stosch ein; hier zieht ihn Biilfinger zu den damals in Mode kom menden metaphysischen Spekulationen heran, die indessen zu rein gar nichts fiihrten; dort regen Euler und die Bernoulli ihn an, sich mit Mathematik zu beschaftigen und weihen ihn in die Geheimnisse der hoheren Analysis und der Zahlentheorie ein.
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Category :
Languages : en
Pages :
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Category :
Languages : en
Pages : 0
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Author: Ravi P Agarwal
Publisher: Springer
ISBN: 3319108700
Category : Mathematics
Languages : en
Pages : 514
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Book Description
The book records the essential discoveries of mathematical and computational scientists in chronological order, following the birth of ideas on the basis of prior ideas ad infinitum. The authors document the winding path of mathematical scholarship throughout history, and most importantly, the thought process of each individual that resulted in the mastery of their subject. The book implicitly addresses the nature and character of every scientist as one tries to understand their visible actions in both adverse and congenial environments. The authors hope that this will enable the reader to understand their mode of thinking, and perhaps even to emulate their virtues in life.
Author: Leonhard Euler
Publisher: Birkhäuser
ISBN: 9783034808927
Category : Mathematics
Languages : en
Pages : 0
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Book Description
When Leonhard Euler first arrived at the Russian Academy of Sciences, at the age of 20, his career was supported and promoted by the Academy’s secretary, the Prussian jurist and amateur mathematician Christian Goldbach (1690-1764). Their encounter would grow into a lifelong friendship, as evinced by nearly 200 letters sent over 35 years. This exchange – Euler’s most substantial long-term correspondence – has now been edited for the first time with an English translation, ample commentary and documentary indices. These present an overview of 18th-century number theory, its sources and repercussions, many details of the protagonists’ biographies, and a wealth of insights into academic life in St. Petersburg and Berlin between 1725 and 1765. Part I includes an introduction and the original texts of the Euler-Goldbach letters, while Part II presents the English translations and documentary indices.
Author: Shahriar Shahriari
Publisher: American Mathematical Soc.
ISBN: 0821837508
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear--or higher order--approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number $x$. This leads to the famous Prime Number Theorem--and to the answers to the two questions about primes. While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on. However, our particular point of view also leads us to many unusual topics: curvature, Pade approximations, public key cryptography, and an analysis of the logistic equation, to name a few. The reader takes an active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts. Approximately Calculus is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.
Author: Sixto Romero Sanchez
Publisher: Springer Nature
ISBN: 3031299000
Category : Education
Languages : en
Pages : 464
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Book Description
This volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers’ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks from the International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.
Author: Anthony Vazzana
Publisher: CRC Press
ISBN: 1498717500
Category : Mathematics
Languages : en
Pages : 427
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Book Description
Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert's tenth problem.
Author: David S. Gunderson
Publisher: CRC Press
ISBN: 1420093657
Category : Computers
Languages : en
Pages : 894
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Book Description
Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.In the first part of the book, the author discuss
