Download A Course Of Pure Mathematics ebook PDF or Read Online books in PDF, EPUB, and Mobi Format. Click Download or Read Online button to A Course Of Pure Mathematics book pdf for free now.

Author : Margaret Gow
ISBN : 0340052171
Genre : Mathematics
File Size : 55.6 MB
Format : PDF, ePub
Download : 878
Read : 697

For students reading Mathematics, either as part of a general degree or as an ancilliary course for an Honours degree, the subject should be presented in as straightforward a manners as is consistent with a moderate standard of rigour. This course in algebra, co-ordinate geometry and calculus is designed to fulfil these requirements for students at Universities, Polytechnics and Colleges of Technology. The book contains 350 worked examples and 1550 practice examples selected mainly from university examination papers. The practice examples have been carefully graded and some hints are given with the answers so that the book may be used for private study as well as for class work.

Author : G. H. Hardy
ISBN : 9781434404923
Genre : Mathematics
File Size : 66.8 MB
Format : PDF, Kindle
Download : 543
Read : 540

G.H. Hardy's text is a good single volume refresher course for work in analysis and more advanced algebra, including number theory. Not quite as modern as Birkhoff and MacLane's text, or Manes' work, this volume forms the underpinnings of both works. If you have a good understanding of the preliminary work required in algebra and geometry, Hardy can be read directly and with pleasure. If you have a desire to understand the basis of what is presented in most first-year calculus texts, then Hardy's text is for you.

Author : G. H. Hardy
ISBN : 9780486832616
Genre : Mathematics
File Size : 63.48 MB
Format : PDF, Kindle
Download : 857
Read : 1204

This classic calculus text remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations of the mathematics of analytical number theory and calculus cover single-variable calculus, sequences, number series, more. 1921 edition.

Author : A. F. Horadam
ISBN : 9781483147901
Genre : Mathematics
File Size : 48.41 MB
Format : PDF, ePub
Download : 748
Read : 743

Outline Course of Pure Mathematics presents a unified treatment of the algebra, geometry, and calculus that are considered fundamental for the foundation of undergraduate mathematics. This book discusses several topics, including elementary treatments of the real number system, simple harmonic motion, Hooke's law, parabolic motion under gravity, sequences and series, polynomials, binomial theorem, and theory of probability. Organized into 23 chapters, this book begins with an overview of the fundamental concepts of differential and integral calculus, which are complementary processes for solving problems of the physical world. This text then explains the concept of the inverse of a function that is a natural complement of the function concept and introduces a convenient notation. Other chapters illustrate the concepts of continuity and discontinuity at the origin. This book discusses as well the significance of logarithm and exponential functions in scientific and technological contexts. This book is a valuable resource for undergraduates and advanced secondary school students.

Author : James Zimmerhoff
ISBN : 1522099794
Genre :
File Size : 66.89 MB
Format : PDF, ePub, Docs
Download : 300
Read : 699

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. For years, it remains one of the most popular books on pure mathematics.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.Real VariablesFunctions Of Real VariablesComplex NumbersLimits Of Functions Of A Positive Integral VariableLimits Of Functions Of A Continuous Variable. Continuous And Discontinuous FunctionsDerivatives And IntegralsAdditional Theorems In The Differential And Integral CalculusThe Convergence Of Infinite Series And Infinite IntegralsThe Logarithmic, Exponential And Circular Functions Of A Real VariableThe General Theory Of The Logarithmic, Exponential And Circular FunctionsThe book was intended to help reform mathematics teaching in the world, from 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.[1] However, his book excels in effectively explaining analytical number theory and calculus following the rigor of mathematics.Whilst his book changed the way the subject was taught at university, the content reflects the era in which the book was written. The whole book explores number theory and the author constructs real numbers theoretically. It adequately deals with single-variable calculus, sequences, number series, properties of cos, sin, log, etc. but does not refer to mathematical groups, multi-variable functions or vector calculus. Each section includes some demanding problems. 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.[2] Despite its limitations, it is considered a classic in its field. It is probably of most use to 1st year university students of pure mathematics.

Author : James Zimmerhoff
ISBN : 1521189013
Genre :
File Size : 81.12 MB
Format : PDF, Mobi
Download : 929
Read : 791

The book was intended to improve mathematics teaching in the UK, but more specifically at the University of Cambridge and in schools teaching higher mathematics. Directed at "scholarship level" students - the top 10% to 20% by excellence. Hardy himself did not first find a passion for math, only regarding it as a way to beat other students, and gain scholarships. However, this book excels in adequately explaining analytical number theory and calculus following the rigor of mathematics.