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Author: G. H. Hardy
Publisher: Courier Dover Publications
ISBN: 0486832619
Category : Mathematics
Languages : en
Pages : 465
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Book Description
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: G. H. Hardy
Publisher: Courier Dover Publications
ISBN: 0486832619
Category : Mathematics
Languages : en
Pages : 465
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Book Description
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: Margaret Gow
Publisher: Elsevier
ISBN: 9780340052174
Category : Mathematics
Languages : en
Pages : 636
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Book Description
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: A. F. Horadam
Publisher: Elsevier
ISBN: 1483147908
Category : Mathematics
Languages : en
Pages : 595
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Book Description
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: John Kenneth Backhouse
Publisher:
ISBN: 9781408227725
Category : Mathematics
Languages : en
Pages : 464
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Book Description
Pure Mathematics is a new Students' Book and accompanying Teacher's Guide that offers full coverage of the East African A Level curriculum.
Author: Linda Bostock
Publisher: Nelson Thornes
ISBN: 9780859500975
Category : Juvenile Nonfiction
Languages : en
Pages : 660
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Book Description
Includes a section on matrices and transformations, this book features worked examples and exercises to illustrate concepts at every stage of its development. It caters for the "Pure Mathematics" content of various courses in Further Mathematics and also for preparation for the Advanced Extension Award.
Author: Martin Liebeck
Publisher: CRC Press
ISBN: 1315360713
Category : Mathematics
Languages : en
Pages : 235
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Book Description
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.
Author: A. J. Sadler
Publisher: Oxford University Press, USA
ISBN: 9780199142439
Category : Mathematics
Languages : en
Pages : 614
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Book Description
This textbook covers in one volume all topics required in the pure mathematics section of single subject A-Level Mathematics syllabuses in the UK, as well as a significant part of the work required by those studying for Further Mathematics and for A-Level
Author: Robert Smedley
Publisher: Oxford University Press
ISBN: 9780199148035
Category : Juvenile Nonfiction
Languages : en
Pages : 568
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Book Description
This textbook covers the requirements of students taking pure mathematics as part of a single-maths A-level exam. It assumes a starting point of the equivalent of Level 7 in the National Curriculum or GCSE Grade B/C.
Author: G. H. Hardy
Publisher: Createspace Independent Publishing Platform
ISBN: 9781974579075
Category :
Languages : en
Pages : 574
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Book Description
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.
Author: Juliet Floyd
Publisher: Springer Nature
ISBN: 3030484815
Category : Mathematics
Languages : en
Pages : 330
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Book Description
This monograph examines the private annotations that Ludwig Wittgenstein made to his copy of G.H. Hardy’s classic textbook, A Course of Pure Mathematics. Complete with actual images of the annotations, it gives readers a more complete picture of Wittgenstein’s remarks on irrational numbers, which have only been published in an excerpted form and, as a result, have often been unjustly criticized. The authors first establish the context behind the annotations and discuss the historical role of Hardy’s textbook. They then go on to outline Wittgenstein’s non-extensionalist point of view on real numbers, assessing his manuscripts and published remarks and discussing attitudes in play in the philosophy of mathematics since Dedekind. Next, coverage focuses on the annotations themselves. The discussion encompasses irrational numbers, the law of excluded middle in mathematics and the notion of an “improper picture," the continuum of real numbers, and Wittgenstein’s attitude toward functions and limits.
