Download or read book A Course in Pure Mathematics written by Margaret Gow and published by Elsevier. This book was released on 1960 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A General Course of Pure Mathematics written by Arthur Lyon Bowley and published by . This book was released on 1913 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Outline Course of Pure Mathematics written by A. F. Horadam and published by Elsevier. This book was released on 2014-05-16 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Course of Pure Mathematics written by G. H. Hardy and published by Cambridge University Press. This book was released on 2008-03-13 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are few textbooks of 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 rigour 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. Celebrating 100 years in print with Cambridge, this edition includes a Foreword by T. W. Körner, describing the huge influence the book has had on the teaching and development of mathematics worldwide. 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.
Download or read book A Course of Pure Mathematics written by G. H. Hardy and published by Createspace Independent Publishing Platform. This book was released on 2017-08-15 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Variables Functions Of Real Variables Complex Numbers Limits Of Functions Of A Positive Integral Variable Limits Of Functions Of A Continuous Variable. Continuous And Discontinuous Functions Derivatives And Integrals Additional Theorems In The Differential And Integral Calculus The Convergence Of Infinite Series And Infinite Integrals The Logarithmic, Exponential And Circular Functions Of A Real Variable The General Theory Of The Logarithmic, Exponential And Circular Functions The 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.
Download or read book A General Course of Pure Mathematics from Indices to Solid Analytical Geometry written by Sir A. L. (Arthur Lyon) Bowley and published by Hardpress Publishing. This book was released on 2012-08-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Download or read book A General Course of Pure Mathematics from Indices to Solid Analytical Geometry written by A. L. Bowley and published by Palala Press. This book was released on 2015-12-04 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
Download or read book Pure Mathematics written by John Kenneth Backhouse and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Complete Course of Pure Mathematics written by Louis-Benjamin Francœur and published by . This book was released on 1829 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Concise Introduction to Pure Mathematics written by Martin Liebeck and published by CRC Press. This book was released on 2018-09-03 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions. New to the Fourth Edition Two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications New material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered ones Through careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis.
Download or read book A Course of Pure Mathematics written by G. H. Hardy and published by Prabhat Prakashan. This book was released on 1943-01-01 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course of Pure Mathematics by G. H. Hardy: Dive into the world of mathematical analysis with "A Course of Pure Mathematics" by G. H. Hardy. This classic textbook serves as an introductory guide to the principles and concepts of mathematical analysis, offering a rigorous and comprehensive exploration of the subject. With its clear explanations, illustrative examples, and problem-solving techniques, Hardy's book provides a solid foundation for understanding the fundamental principles of mathematics. Key Aspects of the Book "A Course of Pure Mathematics": Comprehensive Coverage: Delve into the various branches of mathematical analysis, including calculus, functions, series, complex numbers, and more. Hardy's comprehensive approach ensures that readers gain a broad understanding of the subject. Rigorous Approach: Experience the rigor and precision of mathematical analysis through Hardy's clear and concise explanations. His logical and systematic approach helps readers develop a strong grasp of mathematical principles. Problem-Solving Techniques: Engage in problem-solving exercises that enhance your mathematical skills and reinforce your understanding of the concepts. Hardy's emphasis on problem-solving cultivates critical thinking and analytical abilities. H. Hardy, a renowned British mathematician, authored "A Course of Pure Mathematics" as a seminal work in the field. Recognized for his contributions to number theory and mathematical analysis, Hardy's book continues to be highly regarded as a foundational text for students and enthusiasts of mathematics. Through his passion for the subject and his commitment to clarity and rigor, Hardy inspires readers to explore the beauty and elegance of mathematical reasoning.
Download or read book Mastering Advanced Pure Mathematics written by Geoff Buckwell and published by Bloomsbury Publishing. This book was released on 1996-11-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mastering Advanced Pure Mathematics is not just another A-Level textbook. It contains full explanations so that it can be used in the classroom or at home as a support in the study of a wide range of syllabuses based on the common core 'A' level topic list. Throughout the book there are: - 'Do you know?' sections which contain brief reminders of ideas which will enable the reader to continue without any problems - 'Memory Joggers' to reinforce learning and understanding - 'Exercises' which are divided into straightforward type questions, and more complex examination questions, to be tackled once the reader has worked through most of the book once - 'Activities' to broaden knowledge.
Download or read book A Course of Pure Mathematics written by G. H. Hardy and published by Createspace Independent Publishing Platform. This book was released on 2018-08-31 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The title of this book is rather a misnomer. As a matter of fact, the most interesting part of it is in the last two chapters, which contain an excellent discussion of the logarithmic and exponential functions based upon the definition of log z as an integral. The preceding eight chapters deal with real and complex variables, limits, convergence of series, and the fundamental theorems of the differential and integral calculus. They are chiefly interesting as an illustration of the fact that there is a growing number of university teachers who are resolved that, if they have to teach elementary calculus, they will do it in the most rigorous way that they can, exposing the fallacies which used to be calmly ignored. There is a large number of examples, many of which show how much more attention has been given of late years in Cambridge to the elements of general function-theory. Mr. Hardy's book is more likely to be regarded as a work on the calculus than anything else; as such, it will be a useful companion to such treatises as those of Lamb and Gibson. --Nature, Volume 80
Download or read book A Mathematician s Apology written by G. H. Hardy and published by Cambridge University Press. This book was released on 1992-01-31 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.
Download or read book A Course of Pure Mathematics written by G. H. Hardy and published by Forgotten Books. This book was released on 2015-06-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Course of Pure Mathematics No extensive changes have been made in this edition. The most important are in 80-82, which I have rewritten in accordance with suggestions made by Mr S. Pollard. The earlier editions contained no satisfactory account of the genesis of the circular functions. I have made some attempt to meet this objection in 158 and Appendix III. Appendix IV is also an addition. It is curious to note how the character of the criticisms I have had to meet has changed. I was too meticulous and pedantic for my pupils of fifteen years ago: I am altogether too popular for the Trinity scholar of to-day. I need hardly say that I find such criticisms very gratifying, as the best evidence that the book has to some extent fulfilled the purpose with which it was written. The principal changes made in this edition are as follows. I have inserted in Chapter I a sketch of Dedekind's theory of real numbers, and a proof of Weierstrass's theorem concerning points of condensation; in Chapter IV an account of 'limits of indetermination' and the 'general principle of convergence'; in Chapter V a proof of the 'Heine-Borel Theorem,' Heine's theorem concerning uniform continuity, and the fundamental theorem concerning implicit functions; in Chapter VI some additional matter concerning the integration of algebraical functions; and in Chapter VII a section on differentials. I have also rewritten in a more general form the sections which deal with the definition of the definite integral. In order to find space for these insertions I have deleted a good deal of the analytical geometry and formal trigonometry contained in Chapters II and III of the first edition. These changes have naturally involved a large number of minor alterations. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Pure Mathematics 1 International written by Hugh Neill and published by Cambridge University Press. This book was released on 2002-09-19 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to match the contents of the Cambridge syllabus. Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.
Download or read book Further Pure Mathematics written by Linda Bostock and published by Nelson Thornes. This book was released on 1982 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume continues the work covered in Core Maths or Mathematics - The Core Course for Advanced Level to provide a full two-year course in Pure Mathematics for A-Level.
