Biography of Mathematical Masterpiece 1 Digital Love (Ai Duoshi Biography) Author: Paul Hoffman 2 "My brain is open-the legend of talented mathematician Paul Ai Duoshi" author Bruce Schechter [America] 3 Legend of Female Mathematicians Author: Xu Pinfang 4 Defense of a Mathematician Author: Hardy Translator: Wang Xiyong 5 Mathematicians E·T· Bell Subtitle: From Zhi Nuo to Poincare 6 Dictionary of Modern Mathematicians Zhang Dianzhou 7 Biography of World Famous Mathematicians (I, The next episode) Author Wu Wenjun 8 Mathematical Elite 9 The Last Alchemist-Newton biographer (English) White's professional mathematical masterpiece 1 Topology from the Differential Point of View J.W. Milnor 2 Introduction to Infinite Analysis [Author]: Euler 3 Mathematical Principles of Natural Philosophy Author: isaac newton 4 Geometry Elements (/kloc Euclid's original work, Yan Xiaodong's compilation of 5 Reports on Number Theory, Hilbert's 6 Arithmetic Research, Gauss's 7 Calculus Course of Algebraic Geometry Principles, Fichkingolz 9. Representation of finite groups, J.P. Searle 10. Differential Geometry of Curves and Surfaces, Ducamore 165438+ Theory Guidance, Hua 13. Fundamentals of Algebra, Jason 14. Commutative algebra, Atia's interests: magic squares and prime numbers, interesting mathematics, books on olympiad, etc. Further Research: Ancient and Modern Mathematical Thoughts Maurice Klein wrote famous mathematical works, which are listed below and extracted from a blog. They are all classified and you can choose according to your own interests. I hope it helps you. /s/blog _ 5ee55a950100cdev.html List of Important Mathematics Works Reprinted Label: On Geometry. 6? 4α) is a mathematical work written by the ancient Greek mathematician Euclid, with volume *** 13. This book is the foundation of modern mathematics and the most widely circulated book in the west after the Bible. Volume 1-6: Plane Geometry Volume 7-9: Number Theory Volume 10: Irrational Number Volume 1- 13: Publication date of solid geometry: about 300 BC: Interactive Java Edition Brief Description: This may be the most important work not only in geometry but also in mathematics. It contains many important results of geometry and number theory and the first algorithm. It is still a valuable resource and a good guide to algorithms. More important than any particular result in this book, it seems that the greatest achievement of this book is to popularize logic and mathematical proof as a method to solve problems. Importance: creation, breakthrough, influence, summary, the most modern and outstanding (although it is the first one, some achievements are still the most modern) La Géométrie (geometry) Brief introduction: La Géométrie was published in 1637 by Descartes. This book has a great influence on the development of rectangular coordinate system, especially on the point on the plane represented by real numbers; In addition, there is a discussion about expressing curves through equations. Importance: the pioneer of the topic, the breakthrough, and the influence on the logical concept text (Begriffskrift). Introduction of Frege in Gothenburg: Published in 1879, the title Begriffskrift is usually translated into conceptual writing or conceptual symbols; The full title of the overview equates it with "a pure thinking formula language, modeling with arithmetic language". Frege's motivation to develop his formal logic system and Leibniz's desire to find computational reasoning. Is similar. Frege defined a logical calculation method on the basis of mathematics to support his research. Begriffsschrift is both the title of the book and the name of the calculation method defined in the book. Importance: It can be called the most important logical work since Aristotle. Mathematical formula. Introduction to Pialot: The first edition was published in 1895. Formulario mathematico is the first complete math book written in a formal language. It contains expressions of mathematical logic and many important theorems of other branches of mathematics. Many concepts introduced in this book have become everyday concepts today. Importance: Mathematical principles. Introduction to Russell and Whitehead: Principles of Mathematics is a trilogy based on mathematics, which was published by Russell and Whitehead at1910-1913. It is an attempt to deduce all mathematical truths by using well-defined axioms and reasoning rules in symbolic logic. Whether the axiomatic principle set can lead to contradictions and whether there are mathematical propositions that cannot be proved or falsified in this system still exist. These problems were solved by Godel's incomplete theorem in 193 1 in a somewhat disappointing way. Introduction to Gauss's book: Arithmetic Research is a number theory textbook written by German mathematician C.F.Gauss. It was first published in 180 1 year. Gauss was 24 years old. In this book, Gauss accepted the number theory achievements of mathematicians such as Fermat, Euler, Lagrange and Legendre, and added his own important new achievements. Brief introduction of Riemann on the number of prime numbers less than a given quantitative order: About prime numbers less than a given quantitative order (? 0? How long is the term of office of the first prime minister? 0? 2sse) is a groundbreaking paper by Riemann, published in the monthly report of Berlin Academy of Sciences 1859 1 1. Although this is his only published paper on number theory, it contains the thoughts of dozens of researchers who have influenced 19 century until today. This paper mainly includes the definition, heuristic demonstration, proof outline and the application of powerful analysis methods; These have become the basic concepts and tools of modern analytic number theory. Vorlesungen ü ber Zahlen Theorie: Introduction by Dirichlet and Dai Dejin: Lecture Notes on Number Theory is a textbook on number theory compiled by German mathematicians Dirichlet and Dai Dejin, published in 1863. The handout can be regarded as a watershed between the classical number theory of Fermat, Jacobi and Gauss and the modern number theory of Dai Dejin and riemann sum Hilbert. Dirichlet did not clearly define the central concept group of modern algebra, but many of his proofs showed that he had an implicit understanding of group theory. Brief introduction of early manuscript Rhind mathematical papyrus: This is one of the oldest mathematical documents, belonging to the second Middle Ages of ancient Egypt. This was copied by the scribe Ames from the older China papyrus. In addition to describing how to get the approximate method of π with the accuracy of 1%, it also describes one of the earliest attempts to turn a circle into a square, and in this process, it shows convincing evidence that the theory that the Egyptians deliberately built pyramids to deify π with its proportion is wrong. Although it is exaggerated to say that papyrus represents the first attempt to analyze geometry, Ames did use a concept similar to cotangent. Introduction to Nine Chapters of Arithmetic: China's Mathematics Book, probably written in the year 1 century or 200 BC. Its contents include: solving linear problems with the principle of western pseudo-position law. The solution of multivariate unknowns (involving the method of "seeking a solution by extensive extension" invented by Qin, a mathematician in the Southern Song Dynasty, and the remainder theorem of Sun Tzu's Art of War) adopts the principle similar to Gauss elimination. It involves the principle called Pythagorean Theorem in the West (also called Pythagorean Theorem in China). Archimedes rewrote this introduction: Although the author's only mathematical tool is middle school geometry as it seems today, he used these methods with rare wisdom, and explicitly adopted infinitesimal to solve the problems now handled by integral calculus. These problems include finding the center of gravity of centripetal hemisphere, finding the center of gravity of circular parabolic table, and the area surrounded by parabola and its secant. Contrary to the ignorance of history in some calculus textbooks in the 20th century, he did not use anything similar to Riemann summation, including his work in this rewriting and his other work. See how Archimedes used infinitesimal to illustrate the details of his method. Pure Mathematics Textbook Course Author: Introduction to Hardy: Introduction to Mathematical Analysis Classic Textbook, written by Hardy. First published in 1908, with many versions. It aims to help Britain innovate mathematics education, especially the University of Cambridge and the schools preparing to train mathematics students in Cambridge. Therefore, it is directly aimed at students with "scholarship level"-10% to 20% ability. This book contains many difficult problems. The content includes introduction to calculus and infinite series theory. Importance: Brief introduction to the art of problem solving by Richard Ruchik and Sandel Lehotchki: The art of problem solving began with two books co-authored by Richard Ruchik and Sandel Lehotchki. These books, with a total of about 750 pages, are for students who are interested in mathematics and/or want to take part in mathematics competitions. Primitive Logic: An Introduction to the Theory of Standard First-order Logic Elements: An excellent introductory book on the mathematical theory of formal logic systems, involving integrity proof, consistency proof, etc., and even set theory. Arithmetic K: In other words, the foundation of art. Robert Recorde introduced: Written in 1542, it is the first popular English arithmetic book. Assistant to the principal, practical and theoretical arithmetic summary. Thomas Dilworth introduced: Early popular English textbooks,/kloc-published in the United States in the 0/8th century. This book extends from an introductory topic to five advanced topics. The Game Theory of Numbers and Games Brief introduction of john conway: This book is divided into two parts, {0, 1|}, with two parts in total. The zero part is about numbers, and the first part is about games-including the value of games and some really playable games, such as Nim, Hackenbush, Col and Snort. Brief Introduction of Elwyn Berlekamp, john conway and Richard Gay: Information Summary of Mathematical Games. First published in 1982, it is divided into two parts. One part mainly talks about combinatorial games and super real numbers, and the other part mainly talks about some specific games. Algé brique et Gé omé trie Analyticique Brief introduction of Jean-Pierre Serre: Mathematically, algebraic geometry and analytic geometry are closely related topics, in which analytic geometry is the theory of complex manifolds, and the more general analytic space is locally defined by the zero-point set of analytic functions of multiple complex variables. The (mathematical) theory of the relationship between the two appeared in the early 1950s as part of the work of laying the foundation for algebraic geometry, such as the technology of Hodge theory. (Note that although using analytic geometry as rectangular coordinates also belongs to the category of algebraic geometry in a sense, this is not the theme of this paper. The main thesis to consolidate this theory is Serre's Gé ometrie Algé brique et Gé omé trie Analyticique, which is now generally expressed by GAGA. The result of GAGA formula now represents the comparison theorem, which makes the object in algebraic geometry and its morphism category establish a channel with the object with strict definition and its holomorphic mapping in a subcategory of analytic geometry. Importance: the geometric basis of project creation, breakthrough and influence algebra (? 0? Alexander Grothendieck finished this work with the help of Jean dieudonne. This is Gro Dandika's explanation of his reconstruction of the geometric basis of algebra. It has become the most important basic work of modern algebraic geometry. The work explained in EGA, like the famous reasons of these books, changed the field and led to landmark progress. Importance: Pioneering work topology, revolutionary field introduction James Moncrius: This wonderful introductory textbook is the standard textbook of university point set topology and algebraic topology. Munkres can use the rigor of mathematics to teach many topics and give the source of concepts intuitively. A Brief Introduction to Topology john milnor from the Differential Point of View: This little book introduces the main concepts of differential topology with Milnor's clear and capable style. Although this book is not very extensive, it explains its theme and clarifies all the details in a beautiful way. Importance: influence algebraic topology Allen Hatcher publishing information: Cambridge University Press, 2002. Online Edition: Introduction to http://www.math.cornell.edu/~hatcher/AT/ATpage.html: This is the first of three series of textbooks, which is suitable for beginners who want to cover all the basic contents while keeping the first time to see the subject. This first book contains basic core themes and some relatively basic optional themes. Importance: Start