I Grattan Guinness The Development Of The Foundations Of Mathematical Analysis From Euler To Riemann
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I Grattan Guinness The Development Of The Foundations Of Mathematical Analysis From Euler To Riemann
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Author : Hans Freudenthal
language : en
Publisher:
Release Date : 1971*
I Grattan Guinness The Development Of The Foundations Of Mathematical Analysis From Euler To Riemann written by Hans Freudenthal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971* with categories.
The Development Of The Foundations Of Mathematical Analysis From Euler To Riemann
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Author : I. Grattan-Guinness
language : en
Publisher:
Release Date : 1970
The Development Of The Foundations Of Mathematical Analysis From Euler To Riemann written by I. Grattan-Guinness and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
A Radical Approach To Real Analysis
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Author : David Bressoud
language : en
Publisher: American Mathematical Society
Release Date : 2022-02-22
A Radical Approach To Real Analysis written by David Bressoud and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-22 with Mathematics categories.
In this second edition of the MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on Infinite Summations, Differentiability and Continuity, and Convergence of Infinite Series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early 19th century. It follows Cauchy's attempts to establish a firm foundation for calculus and considers his failures as well as his successes. It culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof.
Analysis A Gateway To Understanding Mathematics
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Author : Sean Dineen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-05-04
Analysis A Gateway To Understanding Mathematics written by Sean Dineen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-04 with Mathematics categories.
This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.
Foundations Of Analysis
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Author : David French Belding
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Foundations Of Analysis written by David French Belding and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
This treatment develops the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed for students with one year of calculus, it features extended discussions of key ideas and detailed proofs of difficult theorems. 1991 edition.
The Britannica Guide To The History Of Mathematics
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Author : Britannica Educational Publishing
language : en
Publisher: Britannica Educational Publishing
Release Date : 2010-04-01
The Britannica Guide To The History Of Mathematics written by Britannica Educational Publishing and has been published by Britannica Educational Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-01 with Juvenile Nonfiction categories.
The field of mathematics today represents an ongoing global effort, spanning both countries and centuries. Through this in-depth narrative, students will learn how major mathematical concepts were first derived, as well as how they evolved with the advent of later thinkers shedding new light on various applications. Everything from Euclidean geometry to the philosophy of mathematics is illuminated as readers are transported to the ancient civilizations of Mesopotamia, Egypt, and beyond to discover the history of mathematical thought
Augustin Louis Cauchy
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Author : Bruno Belhoste
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Augustin Louis Cauchy written by Bruno Belhoste and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
A great difficulty facing a biographer of Cauchy is that of delineating the curious interplay between the man, his times, and his scientific endeavors. Professor Belhoste has succeeded admirably in meeting this challenge and has thus written a vivid biography that is both readable and informative. His subject stands out as one of the most brilliant, versatile, and prolific fig ures in the annals of science. Nearly two hundred years have now passed since the young Cauchy set about his task of clarifying mathematics, extending it, applying it wherever possible, and placing it on a firm theoretical footing. Through Belhoste's work we are afforded a detailed, rather personalized picture of how a first rate mathematician worked at his discipline - his strivings, his inspirations, his triumphs, his failures, and above all, his conflicts and his errors.
Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations
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Author : R. Vichnevetsky
language : en
Publisher: SIAM
Release Date : 1982-01-01
Fourier Analysis Of Numerical Approximations Of Hyperbolic Equations written by R. Vichnevetsky and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Technology & Engineering categories.
This book provides useful reference material for those concerned with the use of Fourier analysis and computational fluid dynamics.
Classical Analysis In The Complex Plane
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Author : Robert B. Burckel
language : en
Publisher: Springer Nature
Release Date : 2021-10-11
Classical Analysis In The Complex Plane written by Robert B. Burckel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-11 with Mathematics categories.
This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail. Requiring only minimal, undergraduate-level prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor. Standard and novel proofs are explored in unusual detail, and exercises – many with helpful hints – provide ample opportunities for practice and a deeper understanding of the material. In addition to the mathematical theory, the author also explores how key ideas in complex analysis have evolved over many centuries, allowing readers to acquire an extensive view of the subject’s development. Historical notes are incorporated throughout, and a bibliography containing more than 2,000 entries provides an exhaustive list of both important and overlooked works. Classical Analysis in the Complex Plane will be a definitive reference for both graduate students and experienced mathematicians alike, as well as an exemplary resource for anyone doing scholarly work in complex analysis. The author’s expansive knowledge of and passion for the material is evident on every page, as is his desire to impart a lasting appreciation for the subject. “I can honestly say that Robert Burckel’s book has profoundly influenced my view of the subject of complex analysis. It has given me a sense of the historical flow of ideas, and has acquainted me with byways and ancillary results that I never would have encountered in the ordinary course of my work. The care exercised in each of his proofs is a model of clarity in mathematical writing...Anyone in the field should have this book on [their bookshelves] as a resource and an inspiration.”- From the Foreword by Steven G. Krantz
Creativity In Mathematics And The Education Of Gifted Students
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Author : Roza Leikin
language : en
Publisher: BRILL
Release Date : 2009-01-01
Creativity In Mathematics And The Education Of Gifted Students written by Roza Leikin and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Education categories.
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. The book consists of a balanced set of chapters by mathematicians, mathematics educators, educational psychologists and educational researchers. The authors of different chapters accept dynamic conception of creativity and giftedness. The book provides analysis of cognitive, affective and social factors associated with the development of creativity in all students and with the realisation of mathematical talent in gifted students. It contains theoretical essays, research reports, historical overviews, recommendations for curricular design, and insights about promotion of mathematical creativity and giftedness at different levels. The readers will find many examples of challenging mathematical problems intended at developing or examining mathematical creativity and giftedness as well as ideas for direct implementation in school and tertiary mathematics courses. They will also find theoretical models that can be used in researching students’ creativity and giftedness. Research reports enlighten relationships between excellence in mathematics and creativity and examine different aspects of inquiry-based environment as a powerful way for developing mathematical creativity in school students. The readers can also learn about characteristics of creativity of research mathematicians.