Simply Riemann


Simply Riemann
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Simply Riemann


Simply Riemann
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Author : Jeremy Gray
language : en
Publisher: Simply Charly
Release Date : 2019-12-19

Simply Riemann written by Jeremy Gray and has been published by Simply Charly this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-19 with Biography & Autobiography categories.


“Jeremy Gray is one of the world’s leading historians of mathematics, and an accomplished author of popular science. In Simply Riemann he combines both talents to give us clear and accessible insights into the astonishing discoveries of Bernhard Riemann—a brilliant but enigmatic mathematician who laid the foundations for several major areas of today’s mathematics, and for Albert Einstein’s General Theory of Relativity. Readable, organized—and simple. Highly recommended.” —Ian Stewart, Emeritus Professor of Mathematics at Warwick University and author of Significant Figures Born to a poor Lutheran pastor in what is today the Federal Republic of Germany, Bernhard Riemann (1826-1866) was a child math prodigy who began studying for a degree in theology before formally committing to mathematics in 1846, at the age of 20. Though he would live for only another 20 years (he died of pleurisy during a trip to Italy), his seminal work in a number of key areas—several of which now bear his name—had a decisive impact on the shape of mathematics in the succeeding century and a half. In Simply Riemann, author Jeremy Gray provides a comprehensive and intellectually stimulating introduction to Riemann’s life and paradigm-defining work. Beginning with his early influences—in particular, his relationship with his renowned predecessor Carl Friedrich Gauss—Gray goes on to explore Riemann’s specific contributions to geometry, functions of a complex variable, prime numbers, and functions of a real variable, which opened the way to discovering the limits of the calculus. He shows how without Riemannian geometry, cosmology after Einstein would be unthinkable, and he illuminates the famous Riemann hypothesis, which many regard as the most important unsolved problem in mathematics today. With admirable concision and clarity, Simply Riemann opens the door on one of the most profound and original thinkers of the 19th century—a man who pioneered the concept of a multidimensional reality and who always saw his work as another way to serve God.



The Conformal Mapping Of Simply Connected Riemann Surfaces Ii


The Conformal Mapping Of Simply Connected Riemann Surfaces Ii
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Author : Maurice Heins
language : en
Publisher:
Release Date : 1957

The Conformal Mapping Of Simply Connected Riemann Surfaces Ii written by Maurice Heins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Riemann surfaces categories.




Riemann Surfaces


Riemann Surfaces
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Author : Lars Valerian Ahlfors
language : en
Publisher: Princeton University Press
Release Date : 2015-12-08

Riemann Surfaces written by Lars Valerian Ahlfors and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Mathematics categories.


The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



Simply Descartes


Simply Descartes
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Author : Kurt Smith
language : en
Publisher: Simply Charly
Release Date : 2018-09-21

Simply Descartes written by Kurt Smith and has been published by Simply Charly this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with Biography & Autobiography categories.


“Simply Descartes is the perfect one-stop-shop for all matters Cartesian. Smith presents Descartes’s entire system from the ground up, building from metaphysics and epistemology to physics and morality. In some ways, he even goes one step further than the master himself for, with the benefit of hindsight and of the work of leading scholars, Smith reconstructs the system in a neat, orderly, clean and concise way, extracting the disparate pieces from Descartes’s many works scattered over many years. For those seeking entry into Descartes, or into philosophy in general, as well as for those seeking a refresher on this foundational thinker, you can do no better than this book.”—Andrew Pessin, author of The Irrationalist: The Tragic Murder of René Descartes and Professor of Philosophy at Connecticut College René Descartes was born in La Haye en Touraine, France, on March 31, 1596. He attended a Jesuit college and studied law for two years, but he soon gave up formal academics to immerse himself in “the great book of the world.” In 1618, he joined the army, where he became interested in military engineering and expanded his knowledge of physics and mathematics. Then, one night in 1619, he experienced what he described as divine visions, which inspired him to create a new mathematics-based philosophy. He spent the next 30 years writing a series of works that radically transformed mathematics and philosophy and, by the time of his death in 1650, he was recognized as one of Europe’s greatest philosophers and scientists. In Simply Descartes, Professor Kurt Smith offers the general reader an opportunity to get better acquainted with the philosophy of the man who, as much as any individual, helped shape our contemporary way of thinking. Written in simple, nonacademic language and based on the best recent scholarship, Simply Descartes is the ideal introduction to Descartes’ life and work—from the famous Cogito (“I think, therefore I am”) to the development of analytic geometry, to the nature of God. Not to mention which, if you’ve ever wondered whether all living things are nothing more than fancy machines, or whether life is really a Matrix-like dream, you’ll be amazed to discover that a 17th-century philosopher was asking (and answering) the same things!



Simply Eliot


Simply Eliot
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Author : Joseph Maddrey
language : en
Publisher: Simply Charly
Release Date : 2018-09-24

Simply Eliot written by Joseph Maddrey and has been published by Simply Charly this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-24 with Literary Criticism categories.


“The next time I teach Eliot to undergrads I will assign this swift, witty, enjoyable invitation to T. S. Eliot’s work and thought. Maddrey knows everything about Eliot, but he grinds no axe which frees professors and students to grind their own. Scrupulously footnoted for professional use, not short but concise, it is stuffed with unfamiliar and apt quotations. Maddrey quotes a 1949 interview about The Cocktail Party, in which Eliot said, ‘If there is nothing more in the play than what I was aware of meaning, then it must be a pretty thin piece of work.’ There’s the New Criticism in 25 words, 21 of them monosyllables. Eliot asks us to quit asking what he thought and to do some thinking ourselves. This book will help.” —George J. Leonard, author of Into the Light of Things and The End of Innocence. Professor of Interdisciplinary Humanities, San Francisco State University Though he was born in St. Louis, Missouri and attended Harvard University, at the age of 26, Thomas Stearns Eliot (1888–1965) emigrated to England, where he lived and worked for the rest of his life. Influenced equally by his formative years in the New World and his experiences in London during and after World War I, Eliot strove to reconcile a variety of conflicting ideas while trapped in an unhappy marriage—a struggle that gave rise to some of the greatest poems of the 20th century. In Simply Eliot, Joseph Maddrey plumbs the emotional and intellectual life of the man whom critic Edmund Wilson called "one of our only authentic poets.” Taking The Waste Land (written in the aftermath of World War I) and Four Quartets (published 1936–1942) as reference points, Maddrey chronicles Eliot's attempts to create a coherent worldview, and explores how his religious conversion in 1927 led to a spiritual rebirth that allowed him to produce his ultimate poetic statement. Making use of previously unavailable materials, including over 5,000 personal letters, Maddrey offers an intimate and incisive portrait of Eliot, and illustrates his continued relevance as both a Romantic and Classical poet, as well as a religious and spiritual thinker.



Simply Dirac


Simply Dirac
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Author : Helge Kragh
language : en
Publisher: Simply Charly
Release Date : 2016-08-29

Simply Dirac written by Helge Kragh and has been published by Simply Charly this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-29 with Biography & Autobiography categories.


“What a fantastic entrée into the life of Paul Dirac and the exotic world of Quantum Mechanics, of which he was one of the great pioneers. With its cast of some of the most important scientists of the modern age, this is both an entertaining and an enlightening read.” —Michael White, Bestselling author of 39 books including Isaac Newton: The Last Sorcerer Paul Dirac (1902–1984) was a brilliant mathematician and a 1933 Nobel laureate whose work ranks alongside that of Albert Einstein and Sir Isaac Newton. Although not as well known as his famous contemporaries Werner Heisenberg and Richard Feynman, his influence on the course of physics was immense. His landmark book, The Principles of Quantum Mechanics, introduced that new science to the world and his “Dirac equation” was the first theory to reconcile special relativity and quantum mechanics. Dirac held the Lucasian Chair of Mathematics at Cambridge University, a position also occupied by such luminaries as Isaac Newton and Stephen Hawking. Yet, during his 40-year career as a professor, he had only a few doctoral students due to his peculiar personality, which bordered on the bizarre. Taciturn and introverted, with virtually no social skills, he once turned down a knighthood because he didn’t want to be addressed by his first name. Einstein described him as “balancing on the dizzying path between genius and madness.” In Simply Dirac, author Helge Kragh blends the scientific and the personal and invites the reader to get to know both Dirac the quantum genius and Dirac the social misfit. Featuring cameo appearances by some of the greatest scientists of the 20th century and highlighting the dramatic changes that occurred in the field of physics during Dirac’s lifetime, this fascinating biography is an invaluable introduction to a truly singular man.



Simply Wittgenstein


Simply Wittgenstein
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Author : James C. Klagge
language : en
Publisher: Simply Charly
Release Date : 2016-06-17

Simply Wittgenstein written by James C. Klagge and has been published by Simply Charly this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Biography & Autobiography categories.


"There are many introductions to the life and work of Ludwig Wittgenstein, but I think James Klagge has produced the very best. Taking as his premise that his reader may know nothing about Wittgenstein or, for that matter, about philosophy, Klagge gives a lucid, charming, and wholly convincing account of Wittgenstein’s basic ideas, his way of thinking, his views on religion, culture, ethical behavior, and so on. He is especially good at explaining the root concepts like “language game,” "form of life,” and “private language.” But perhaps the highlight of this book is its set of applications: that is, how do Wittgenstein’s concepts and writings help us to understand the events of our time from courtroom cases to the bombing of the Twin Towers on 9/11. Wittgenstein, Klagge shows, literally helps us to live our lives: he is the philosopher par excellence of the twentieth—and now the twenty-first—centuries. Klagge’s own clarity is exemplary: he never condescends to the reader and yet makes Wittgenstein’s thought wonderfully clear." —Marjorie Perloff, Sadie Dernham Patek Emerita Professor of Humanities at Stanford University Born in Vienna into an extremely wealthy and highly cultured family, Ludwig Wittgenstein (1889-1951) grew up surrounded by art, music, and a disturbing amount of dysfunctional behavior. After studying mechanical engineering and developing an interest in aeronautics, he became obsessed with mathematics and logic, which led to his life’s work exploring the relationship between language, philosophy, and reality. In Simply Wittgenstein, James Klagge presents a fascinating portrait of this brilliant and troubled man, while exploring his two extraordinary books—the Tractatus Logico-Philosophicus and Philosophical Investigations—in which he gave concrete form to his singular and perplexing ideas. Drawing on 30 years of teaching about Wittgenstein at both the undergraduate and graduate level, Klagge provides a clear and accessible introduction to these seminal works, helping the reader understand the revolutionary nature of Wittgenstein’s insights and the reason they continue to resonate in our own time. Though Wittgenstein himself was convinced that he would never be properly understood, Simply Wittgenstein shows, with brevity and lucidity, that his ideas have had a profound and enduring effect on how we think about language and life.



A Modern View Of The Riemann Integral


A Modern View Of The Riemann Integral
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Author : Alberto Torchinsky
language : en
Publisher: Springer Nature
Release Date : 2022-10-05

A Modern View Of The Riemann Integral written by Alberto Torchinsky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-05 with Mathematics categories.


This monograph uncovers the full capabilities of the Riemann integral. Setting aside all notions from Lebesgue’s theory, the author embarks on an exploration rooted in Riemann’s original viewpoint. On this journey, we encounter new results, numerous historical vignettes, and discover a particular handiness for computations and applications. This approach rests on three basic observations. First, a Riemann integrability criterion in terms of oscillations, which is a quantitative formulation of the fact that Riemann integrable functions are continuous a.e. with respect to the Lebesgue measure. Second, the introduction of the concepts of admissible families of partitions and modified Riemann sums. Finally, the fact that most numerical quadrature rules make use of carefully chosen Riemann sums, which makes the Riemann integral, be it proper or improper, most appropriate for this endeavor. A Modern View of the Riemann Integral is intended for enthusiasts keen to explore the potential of Riemann's original notion of integral. The only formal prerequisite is a proof-based familiarity with the Riemann integral, though readers will also need to draw upon mathematical maturity and a scholarly outlook.



Encyclopaedia Of Mathematics


Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01

Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.




From Riemann To Differential Geometry And Relativity


From Riemann To Differential Geometry And Relativity
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Author : Lizhen Ji
language : en
Publisher: Springer
Release Date : 2017-10-03

From Riemann To Differential Geometry And Relativity written by Lizhen Ji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-03 with Mathematics categories.


This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.