| carl friedrich gauss math contributions: Disquisitiones Arithmeticae Carl Friedrich Gauss, William C. Waterhouse, 2018-02-07 Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. . |
| carl friedrich gauss math contributions: Carl Friedrich Gauss G. Waldo Dunnington, Jeremy Gray, Fritz-Egbert Dohse, 2004-10-14 Classic biography of Gauss, updated with new introduction, bibliography and new material. |
| carl friedrich gauss math contributions: Contributions to the Founding of the Theory of Transfinite Numbers Georg Cantor, 1911 |
| carl friedrich gauss math contributions: Carl Friedrich Gauss Tord Hall, 1970 |
| carl friedrich gauss math contributions: Nature's Numbers Ian Stewart, 2008-08-04 It appears to us that the universe is structured in a deeply mathematical way. Falling bodies fall with predictable accelerations. Eclipses can be accurately forecast centuries in advance. Nuclear power plants generate electricity according to well-known formulas. But those examples are the tip of the iceberg. In Nature's Numbers, Ian Stewart presents many more, each charming in its own way.. Stewart admirably captures compelling and accessible mathematical ideas along with the pleasure of thinking of them. He writes with clarity and precision. Those who enjoy this sort of thing will love this book.—Los Angeles Times |
| carl friedrich gauss math contributions: Gauss W. K. Bühler, 2012-12-06 Procreare iucundum, sed parturire molestum. (Gauss, sec. Eisenstein) The plan of this book was first conceived eight years ago. The manuscript developed slowly through several versions until it attained its present form in 1979. It would be inappropriate to list the names of all the friends and advisors with whom I discussed my various drafts but I should like to mention the name of Mr. Gary Cornell who, besides discussing with me numerous details of the manuscript, revised it stylistically. There is much interest among mathematicians to know more about Gauss's life, and the generous help I received has certainly more to do with this than with any individual, positive or negative, aspect of my manuscript. Any mistakes, errors of judgement, or other inadequacies are, of course, the author's responsi bility. The most incisive and, in a way, easiest decisions I had to make were those of personal taste in the choice and treatment of topics. Much had to be omitted or could only be discussed in a cursory way. |
| carl friedrich gauss math contributions: Weber’s Electrodynamics Andre Koch Torres Assis, 2013-03-14 Great progress has been made in electrical science, chiefly in Germany, by cultivators of the theory of action at a distance. The valuable electrical measurements of W. Weber are interpreted by him according to this theory, and the electromagnetic speculation which was originated by Gauss, and carried on by Weber, Riemann, F. and C. Neumann, Lorenz, etc. , is founded on the theory of action at a distance, but depending either directly on the relative velocity of the particles, or on the gradual propagation of something, whether potential or force, from the one particle to the other. The great success which these eminent men have attained in the application of mathematics to electrical phenomena, gives, as is natural, additional weight to their theoretical speculations, so that those who, as students of electricity, turn to them as the greatest authorities in mathematical electricity, would probably imbibe, along with their mathematical methods, their physical hypothesis. These physical hypotheses, however, are entirely alien from the way of looking at things which I adopt, and one object which I have in view is that some of those who wish to study electricity may, by reading this treatise, come to see that there is another way of treating the subject, which is no less fitted to explain the phenomena, and which, though in some parts it may appear less definite, corresponds, as I think, more faithfuHy with our actual knowledge, both in what it affirms and in what it leaves undecided. |
| carl friedrich gauss math contributions: A History of Mathematical Statistics from 1750 to 1930 Anders Hald, 1998-04-22 The long-awaited second volume of Anders Hald's history of the development of mathematical statistics. Anders Hald's A History of Probability and Statistics and Their Applications before 1750 is already considered a classic by many mathematicians and historians. This new volume picks up where its predecessor left off, describing the contemporaneous development and interaction of four topics: direct probability theory and sampling distributions; inverse probability by Bayes and Laplace; the method of least squares and the central limit theorem; and selected topics in estimation theory after 1830. In this rich and detailed work, Hald carefully traces the history of parametric statistical inference, the development of the corresponding mathematical methods, and some typical applications. Not surprisingly, the ideas, concepts, methods, and results of Laplace, Gauss, and Fisher dominate his account. In particular, Hald analyzes the work and interactions of Laplace and Gauss and describes their contributions to modern theory. Hald also offers a great deal of new material on the history of the period and enhances our understanding of both the controversies and continuities that developed between the different schools. To enable readers to compare the contributions of various historical figures, Professor Hald has rewritten the original papers in a uniform modern terminology and notation, while leaving the ideas unchanged. Statisticians, probabilists, actuaries, mathematicians, historians of science, and advanced students will find absorbing reading in the author's insightful description of important problems and how they gradually moved toward solution. |
| carl friedrich gauss math contributions: General Investigations of Curved Surfaces of 1827 and 1825 Karl Friedrich Gauss, 2022-10-27 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| carl friedrich gauss math contributions: The Concept of a Riemann Surface Hermann Weyl, 2013-12-31 This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition. |
| carl friedrich gauss math contributions: Mathematicians of the World, Unite! Guillermo Curbera, 2009-02-23 This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int |
| carl friedrich gauss math contributions: Statisticians of the Centuries C.C. Heyde, P. Crepel, S.E. Fienberg, E. Seneta, J. Gani, 2013-12-01 Written by leading statisticians and probabilists, this volume consists of 104 biographical articles on eminent contributors to statistical and probabilistic ideas born prior to the 20th Century. Among the statisticians covered are Fermat, Pascal, Huygens, Neumann, Bernoulli, Bayes, Laplace, Legendre, Gauss, Poisson, Pareto, Markov, Bachelier, Borel, and many more. |
| carl friedrich gauss math contributions: Landmark Writings in Western Mathematics 1640-1940 Ivor Grattan-Guinness, 2005-02-11 This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field |
| carl friedrich gauss math contributions: The Foundations of Geometry David Hilbert, 2015-05-06 This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis. |
| carl friedrich gauss math contributions: Stanislaw Ulam 1909-1984 , 1987 |
| carl friedrich gauss math contributions: Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic Sections Carl Friedrich Gauss, 1857 |
| carl friedrich gauss math contributions: Significant Figures Ian Stewart, 2017-09-12 A celebrated mathematician traces the history of math through the lives and work of twenty-five pioneering mathematicians In Significant Figures, acclaimed mathematician Ian Stewart explores the work of 25 of history's most important mathematicians, showing how they developed on each other's work and built the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics from Archimedes to William Thurston, and learn about those too often left out of the cannon, such as Muhammad ibn Musa al-Khwarizmi, the creator of algebra; Ada Lovelace, the world's first computer programmer; and Emmy Noether, whose research on symmetry paved the way for modern physics. Tracing the evolution of mathematics over the course of two millennia, Significant Figures will educate and delight aspiring mathematicians and experts alike. |
| carl friedrich gauss math contributions: Human Accomplishment Charles Murray, 2009-10-13 A sweeping cultural survey reminiscent of Barzun's From Dawn to Decadence. At irregular times and in scattered settings, human beings have achieved great things. Human Accomplishment is about those great things, falling in the domains known as the arts and sciences, and the people who did them.' So begins Charles Murray's unique account of human excellence, from the age of Homer to our own time. Employing techniques that historians have developed over the last century but that have rarely been applied to books written for the general public, Murray compiles inventories of the people who have been essential to the stories of literature, music, art, philosophy, and the sciences—a total of 4,002 men and women from around the world, ranked according to their eminence. The heart of Human Accomplishment is a series of enthralling descriptive chapters: on the giants in the arts and what sets them apart from the merely great; on the differences between great achievement in the arts and in the sciences; on the meta-inventions, 14 crucial leaps in human capacity to create great art and science; and on the patterns and trajectories of accomplishment across time and geography. Straightforwardly and undogmatically, Charles Murray takes on some controversial questions. Why has accomplishment been so concentrated in Europe? Among men? Since 1400? He presents evidence that the rate of great accomplishment has been declining in the last century, asks what it means, and offers a rich framework for thinking about the conditions under which the human spirit has expressed itself most gloriously. Eye-opening and humbling, Human Accomplishment is a fascinating work that describes what humans at their best can achieve, provides tools for exploring its wellsprings, and celebrates the continuing common quest of humans everywhere to discover truths, create beauty, and apprehend the good. |
| carl friedrich gauss math contributions: A First Course in Abstract Algebra Joseph J. Rotman, 2000 For one-semester or two-semester undergraduate courses in Abstract Algebra. This new edition has been completely rewritten. The four chapters from the first edition are expanded, from 257 pages in first edition to 384 in the second. Two new chapters have been added: the first 3 chapters are a text for a one-semester course; the last 3 chapters are a text for a second semester. The new Chapter 5, Groups II, contains the fundamental theorem of finite abelian groups, the Sylow theorems, the Jordan-Holder theorem and solvable groups, and presentations of groups (including a careful construction of free groups). The new Chapter 6, Commutative Rings II, introduces prime and maximal ideals, unique factorization in polynomial rings in several variables, noetherian rings and the Hilbert basis theorem, affine varieties (including a proof of Hilbert's Nullstellensatz over the complex numbers and irreducible components), and Grobner bases, including the generalized division algorithm and Buchberger's algorithm. |
| carl friedrich gauss math contributions: On Voltaic Combinations John Frederick Daniell, 1836 |
| carl friedrich gauss math contributions: On the Hypotheses Which Lie at the Bases of Geometry Bernhard Riemann, 2016-04-19 This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful. |
| carl friedrich gauss math contributions: A Study of Number , 1909 |
| carl friedrich gauss math contributions: The Prince of Mathematics M. B. W. Tent, 2008-10-23 Learn about the boy who - could read and add numbers when he was three years old, - thwarted his teacher by finding a quick and easy way to sum the numbers 1-100, - attracted the attention of a Duke with his genius, and became the man who... - predicted the reappearance of a lost planet, - discovered basic properties of magnetic forces, - invented a surveying tool used by professionals until the invention of lasers. Based on extensive research of original and secondary sources, this historical narrative will inspire young readers and even curious adults with its touching story of personal achievement. |
| carl friedrich gauss math contributions: On the Spherical Aberration of the Eye-pieces of Telescopes ... George Biddell Airy, 1827 |
| carl friedrich gauss math contributions: Lectures on Number Theory Peter Gustav Lejeune Dirichlet, Richard Dedekind, 1999 Lectures on Number Theory is the first of its kind on the subject matter. It covers most of the topics that are standard in a modern first course on number theory, but also includes Dirichlet's famous results on class numbers and primes in arithmetic progressions. |
| carl friedrich gauss math contributions: Photoshop CS4 Lesa Snider, 2008-12-26 A guide to using Adobe Photoshop CS4 covers such topics as working with panels, creating a new document, managing layers, editing images, correction color and lighting, drawing with vector tools, and using filters. |
| carl friedrich gauss math contributions: Pioneers in Mathematics Michael John Bradley, 2006 |
| carl friedrich gauss math contributions: The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae Catherine Goldstein, Norbert Schappacher, Joachim Schwermer, 2007-02-03 Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated in this volume to assess the impact of the Disquisitiones, in the two centuries since its publication. |
| carl friedrich gauss math contributions: Oxford Users' Guide to Mathematics Eberhard Zeidler, W. Hackbusch, Hans Rudolf Schwarz, 2004-08-19 The Oxford Users' Guide to Mathematics is one of the leading handbooks on mathematics available. It presents a comprehensive modern picture of mathematics and emphasises the relations between the different branches of mathematics, and the applications of mathematics in engineering and the natural sciences. The Oxford User's Guide covers a broad spectrum of mathematics starting with the basic material and progressing on to more advanced topics that have come to the fore in the last few decades. The book is organised into mathematical sub-disciplines including analysis, algebra, geometry, foundations of mathematics, calculus of variations and optimisation, theory of probability and mathematical statistics, numerical mathematics and scientific computing, and history of mathematics. The book is supplemented by numerous tables on infinite series, special functions, integrals, integral transformations, mathematical statistics, and fundamental constants in physics. It also includes a comprehensive bibliography of key contemporary literature as well as an extensive glossary and index. The wealth of material, reaching across all levels and numerous sub-disciplines, makes The Oxford User's Guide to Mathematics an invaluable reference source for students of engineering, mathematics, computer science, and the natural sciences, as well as teachers, practitioners, and researchers in industry and academia. |
| carl friedrich gauss math contributions: The Development of Mathematics E. T. Bell, 2012-09-11 Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition. |
| carl friedrich gauss math contributions: André Weil, 1906-1998 François Digne, 1999 |
| carl friedrich gauss math contributions: Srinivasa Ramanujan K. Srinivasa Rao, 2004 Biography of Srinivasa Ramanujan Aiyangar, 1887-1920, mathematician from India. |
| carl friedrich gauss math contributions: On this Day in the Wars of the Roses Dan Moorhouse, 2021-03-29 Learn about everyday life in the Wars of the Roses through easy to access day by day accounts. The book explores the glamour of the court alongside battles, plots, uprisings, and reprisals. |
| carl friedrich gauss math contributions: A History of Algebra Bartel L. van der Waerden, 2013-06-29 |
| carl friedrich gauss math contributions: Number Theory with Computer Applications Ramanujachary Kumanduri, Cristina Romero, 1998 Appropriate for most courses in Number Theory. This book effectively integrates computing algorithms into the number theory curriculum using a heuristic approach and strong emphasis on proofs. Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves--a subject that has seen a rise in popularity due to its use in the proof of Fermat's Last Theorem. |
| carl friedrich gauss math contributions: Natural Magic John Baptista Porta, 2014-03-29 This Is A New Release Of The Original 1658 Edition. |
| carl friedrich gauss math contributions: The Mathematical Heritage of C F Gauss George M. Rassias, 1991-09-01 This volume is a collection of original and expository papers in the fields of Mathematics in which Gauss had made many fundamental discoveries. The contributors are all outstanding in their fields and the volume will be of great interest to all research mathematicians, research workers in the history of science, and graduate students in Mathematics and Mathematical Physics. |
| carl friedrich gauss math contributions: Electromagnetic Theory James Clerk Maxwell, 2021-07-19 In 1865 James Clerk Maxwell (1831 - 1879) published this work, A Dynamical Theory of the Electromagnetic Field demonstrating that electric and magnetic fields travel through space as waves moving at the speed of light. He proposed that light is an undulation in the same medium that is the cause of electric and magnetic phenomena. The unification of light and electrical phenomena led him to predict the existence of radio waves. Maxwell is also regarded as the founding scientist of the modern field of electrical engineering. His discoveries helped usher in the era of modern physics, laying the foundation for such fields as special relativity and quantum mechanics. Many physicists regard Maxwell as the 19th-century scientist having the greatest influence on 20th-century physics. His contributions to physics are considered by many to be of the same magnitude as the ones of Isaac Newton and Albert Einstein. In this original treatise Maxwell introduces the best of his mind in seven parts, to include: Part i. introductory. Part ii. on electromagnetic induction. Part iii. general equations of the electromagnetic field. Part iv. mechanical actions in the field. Part v. theory of condensers. Part vi. electromagnetic theory of light. Part vii. calculation of the coefficients of electromagnetic induction |
| carl friedrich gauss math contributions: Sophie Germain L.L. Bucciarelli, N. Dworsky, 1980-10-31 Why should the story of a woman's role in the development of a scientific theory be written? Is it to celebrate, as some have done, the heroism of a woman's struggle in a man's world? Or is it, rather~to demonstrate that gender is irrelevant to the march of scientific ideas? This book hopes to do neither. Rather, it intends to do justice both to the professional life of a woman in science and to the development of the theory with which she was engaged. Technically, this essay centers on Sophie Germain's analysis of the modes of vibration of elastic surfaces, work which won a competition set by the French Academy of Sciences in 1809. It also evaluates related work on the mathematical theory of elasticity done by men of the Academy. Biographically, it is about a woman who believed in the greatness of science and strove, with some measure of success, to participate in that noble, but wholly male-dominated, enterprise. It explores her failures, analyzes her success, and describes how the members of the Parisian scientific community dealt with her offerings, contributions and demands. |
| carl friedrich gauss math contributions: Analytical Institutions Maria Gaetana Agnesi, 2012-03-02 Hardcover reprint of the original 1801 edition - beautifully bound in brown cloth covers featuring titles stamped in gold, 8vo - 6x9. No adjustments have been made to the original text, giving readers the full antiquarian experience. For quality purposes, all text and images are printed as black and white. This item is printed on demand. Book Information: Agnesi, Maria Gaetana. Analytical Institutions In Four Books: Originally Written In Italian. Indiana: Repressed Publishing LLC, 2012. Original Publishing: Agnesi, Maria Gaetana. Analytical Institutions In Four Books: Originally Written In Italian, . London: Printed By Taylor And Wilks, 1801. Subject: Mathematics |
对一个陌生的英文名字，如何快速确定哪个是姓哪个是名？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
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知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
人体正常的体温范围是多少? - 知乎
19世纪，一位名叫卡尔·温德利希（Carl Wunderlich）的德国内科医生首次确定人体正常体温为37 ℃，超过38 ℃即为发热，这种说法一直延续至今。 而根据现代医学家测量的数据，近百年 …
做影响因素分析都有哪些方法，怎么确定用哪种模型？ - 知乎
—from Poem 49 in “The People, Yes” by Carl Sandburg 而最后一部分的讨论。居然直接来一个philosophical issues（哲学问题）即方法论的问题。 能写让某个人在顶级期刊扯诗，讨论哲学 …
历史上最伟大的数学家有哪些 或者 给出top10排名？ - 知乎
从学术水准，学术产量，对后世数学发展的贡献等纯数学角度综合考量，比如像牛顿这种在物理学方面的贡献更…
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我注册了一个个人有限公司，想自己报税，应该怎么做？ - 知乎
2.关注Carl的财税圈，帮你合法合理地省钱，立志让你做最省心的老板。 3.解读最新的税收热点，分享最优的税筹方式。Carl的财税圈，您身边的财税管家。 全网最全税筹防坑指南 “假税筹” …
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对一个陌生的英文名字，如何快速确定哪个是姓哪个是名？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
如何通俗的解释普票与专票的区别？ - 知乎
2.关注Carl的财税圈，帮你合法合理地省钱，立志让你做最省心的老板。 3.解读最新的税收热点，分享最优的税筹方式。Carl的财税圈，您身边的财税管家。 全网最全税筹防坑指南 “假税筹” …
如何评价《无耻之徒》（Shameless）中 Lip 这一角色？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
人体正常的体温范围是多少? - 知乎
19世纪，一位名叫卡尔·温德利希（Carl Wunderlich）的德国内科医生首次确定人体正常体温为37 ℃，超过38 ℃即为发热，这种说法一直延续至今。 而根据现代医学家测量的数据，近百年 …
做影响因素分析都有哪些方法，怎么确定用哪种模型？ - 知乎
—from Poem 49 in “The People, Yes” by Carl Sandburg 而最后一部分的讨论。居然直接来一个philosophical issues（哲学问题）即方法论的问题。 能写让某个人在顶级期刊扯诗，讨论哲学 …
历史上最伟大的数学家有哪些 或者 给出top10排名？ - 知乎
从学术水准，学术产量，对后世数学发展的贡献等纯数学角度综合考量，比如像牛顿这种在物理学方面的贡献更…
如何优雅地在文档中插入代码？ - 知乎
最近写论文，有没有什么简单大方优雅的办法插入代码片段？
我自己是公司法定代表人，从公司对公账户转到我自己私人账户违 …
2.关注Carl的财税圈，帮你合法合理地省钱，立志让你做最省心的老板。 3.解读最新的税收热点，分享最优的税筹方式。Carl的财税圈，您身边的财税管家。 全网最全税筹防坑指南 “假税筹” …
我注册了一个个人有限公司，想自己报税，应该怎么做？ - 知乎
2.关注Carl的财税圈，帮你合法合理地省钱，立志让你做最省心的老板。 3.解读最新的税收热点，分享最优的税筹方式。Carl的财税圈，您身边的财税管家。 全网最全税筹防坑指南 “假税筹” …
公司让员工取花名，让我做几个花名方案，实在想不出啊！大家有 …
这10000个好听好记的花名，每一个都堪称惊艳，从这些维度去选，一定有适合你的
