A course of pure mathematics review năm 2024
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Our servers are getting hit pretty hard right now. To continue shopping, enter the characters as they are shown in the image below. Show Type the characters you see in this image:Type characters Try different image © 1996-2014, Amazon.com, Inc. or its affiliates This is a special reissue of the 10th edition of Hardy's classic, first published in 1908. The main addition is an interesting foreword by T. W. Körner, which describes the huge influence of the book on the teaching and development of mathematics, especially in Britain. The book was the first textbook in English on analysis; the Encyclopaedia Britannica says that it "transformed university teaching." The book contains a presentation of analysis as the foundation for calculus in the precise but lively style that is Hardy's hallmark. However, the book does show its age. The notation and terminology are slightly different from the ones we use today: sets are called aggregates or classes, sequences are called functions of a positive integral variable, closed intervals are denoted by (a,b), epsilon-delta arguments are delta-epsilon arguments (given delta, find epsilon!), sup arguments are replaced by equivalent Dedekind cut arguments (the real numbers are constructed from the rationals using "sections"). Although these glitches are not serious, they will probably be confusing for beginners. So, who is likely to profit from reading this book? Certainly students and teachers interested in classics written by one of the best writers of his era (those who have read Hardy and Wright's book on number theory, a new edition of which is forthcoming, will recognize the force of the prose, even if it may seem somewhat heavy nowadays). And certainly anyone looking for challenging, interesting exercises not usually found in modern calculus books. (In the Cambridge tradition, exercises are called examples!) Nevertheless, students looking for a careful presentation of rigorous calculus will probably profit much more by reading and working through Spivak's Calculus, a modern classic. Hardy said that "young men should prove theorems, old men should write books." We have been fortunate that he wrote such good books (and he was not at all old when he wrote them). It is thus fitting to celebrate Hardy's writings with this centenary edition. Further Reading For some more comments about Hardy's book, see Allen Stenger's review of An Introduction to Mathematical Analysis by Robert A. Rankin. It may also be instructive to read older reviews of earlier editions: Arthur Berry, Review of "A Course of Pure Mathematics " by G. H. Hardy. The Mathematical Gazette, Vol. 5, No. 87 (Jul., 1910 ), pp. 303-305.
Both of these are available through JSTOR. Luiz Henrique de Figueiredo is a researcher at IMPA in Rio de Janeiro, Brazil. His main interests are numerical methods in computer graphics, but he remains an algebraist at heart. He is also one of the designers of the Lua language. A Course of Pure Mathematics is a classic textbook in introductory mathematical analysis, written by G. H. Hardy. It is recommended for people studying calculus. First published in 1908, it went through ten editions (up to 1952) and several reprints. It is now out of copyright in UK and is downloadable from various internet web sites. It remains one of the most popular books on pure mathematics. Contents[edit]The book contains a large number of descriptive and study materials together with a number of difficult problems with regards to number theory analysis. The book is organized into the following chapters, with each chapter further divided.
II. FUNCTIONS OF REAL VARIABLES III COMPLEX NUMBERS IV LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE V LIMITS OF FUNCTIONS OF A CONTINUOUS VARIABLE. CONTINUOUS AND DISCONTINUOUS FUNCTIONS VI DERIVATIVES AND INTEGRALS VII ADDITIONAL THEOREMS IN THE DIFFERENTIAL AND INTEGRAL CALCULUS VIII THE CONVERGENCE OF INFINITE SERIES AND INFINITE INTEGRALS IX THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS OF A REAL VARIABLE X THE GENERAL THEORY OF THE LOGARITHMIC, EXPONENTIAL AND CIRCULAR FUNCTIONS Appendices INDEX Review[edit]The book was intended to help reform mathematics teaching in the UK, and more specifically in the University of Cambridge and in schools preparing to study higher mathematics. It was aimed directly at "scholarship level" students – the top 10% to 20% by ability. Hardy himself did not originally find a passion for mathematics, only seeing it as a way to beat other students, which he did decisively, and gain scholarships. Is pure math the hardest math?Any mathematics is hard, not only pure mathematics, but pure mathematics is special, and is perhaps is hardest of all. I love this motto coined by my colleague Rob Wilson: Mathematics: solving tomorrow's problems yesterday. Is pure maths a good degree?The Pure Mathematics major gives you quantitative skills that are in demand across all industries and serves as an initial preparation for employment as a professional mathematician. Is as pure maths hard?Yes, A-Level Maths is generally considered to be much harder than GCSE Maths. It involves a higher level of difficulty, increased depth of understanding, and more advanced problem-solving skills. Is a masters in pure math worth it?A master's in mathematics alone will qualify you to work in fields such actuarial science, computer science, and data science, all of which report high earnings and high job satisfaction. |
