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A Course of Pure Mathematics Centenary Edition (Cambridge Mathematical Library)by G. H. Hardy
Synopses & Reviews
Celebrating 100 years in print with Cambridge, this newly updated edition includes a foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. There are few textbooks in mathematics as well-known as Hardy's Pure Mathematics. Since its publication in 1908, this classic book has inspired successive generations of budding mathematicians at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of the missionary with the rigor of the purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit. Hardy's presentation of mathematical analysis is as valid today as when first written: students will find that his economical and energetic style of presentation is one that modern authors rarely come close to.
Book News Annotation:
First published in 1908, this classic still gives undergraduate students their first dose of the differential and integral calculus, the properties of infinite series, and other notions involving limit. Hardy's nineteenth-century sensibilities and approach based upon the "Cambridge way" (which produced such fine mathematicians as Maxwell, Kelvin, Rayleigh and Stokes) may have been eroding as the result of new work on the Continent at the time. However, the essence of his material is virtually timeless, covering real variables, functions of real variables, complex numbers, limits of functions for a positive integer variable, limits of functions of a continuous variable, derivatives and integrals, theorems in the differential and integral calculus, the convergence of infinite series and infinite integrals, the functions of real variables (logarithmic, exponential and circular) and their real functions. This is a reprint of the 1952 edition with a new foreword. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
The classic text on pure mathematics; this centenary edition includes a Foreword by T. W. Körner.
There are few textbooks of mathematics as well-known as Hardy's Pure Mathematics. Since publication in 1908, successive generations of budding mathematicians have turned to this classic work. This Centenary edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on mathematics worldwide.
Table of Contents
Foreword by T. W. Körner; 1. Real variables; 2. Functions of real variables; 3. Complex numbers; 4. Limits of functions of a positive integral variable; 5. Limits of functions of a continuous variable: continuous and discontinuous functions; 6. Derivatives and integrals; 7. Additional theorems in the differential and integral calculus; 8. The convergence of infinite series and infinite integrals; 9. The logarithmic, exponential, and circular functions; 10. The general theory of the logarithmic, exponential, and circular functions; Appendices; Index.
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