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eBook A First Course in Mathematical Analysis ePub

eBook A First Course in Mathematical Analysis ePub

by J. C. Burkill

  • ISBN: 0521294681
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: J. C. Burkill
  • Language: English
  • Publisher: Cambridge University Press; 1 edition (December 29, 1978)
  • Pages: 194
  • ePub book: 1105 kb
  • Fb2 book: 1961 kb
  • Other: txt mbr doc mobi
  • Rating: 4.8
  • Votes: 269

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This course is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. See all Product description.

The book provides a firm foundation for advanced work in any of these directions.

Mathematical analysis by. J. C. BURKILL S. as being more exciting,belong which everyone will recognise the viewpoint to analysis. Cambridge university press. Cambridge new york p o r tc h e s t e r melbourne sydney. After a first coursein trigonometry, and other trigonometric functions, must be changed. The sine originally definedas ratios of lengthsof lines, are seento be highly important functionsof analysis, and the sin x shouldbe asit will defined in termsof the variablex by the infinite series be in chapter6 of this book.

This straightforward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. org to approved e-mail addresses.

Essentially an introductory book for the mathematics specialist. But it is so fresh in conception and so lucid in style that it will appeal to anyone who has a general interest in mathematics. The Times Educational Supplement 'This is an excellent book. If I were teaching a course for honours students of the type described, this book would rank high as a possible choice of text it is a pleasure to be able to welcome a book on analysis written by an author who has a sense of style and who avoids the excessive use of symbolism which.

Burkill and H. Burkill: A Second Course in Mathematical Analysis. ISBN 0 521 28061 3. Subject Matter. Burkill and H.

A First Course in Mathematical Analysis by J. Burkill 9780521294683 (Paperback, 1978) Delivery UK delivery is usually within 7 to 9 working days

A First Course in Mathematical Analysis by J. Burkill 9780521294683 (Paperback, 1978) Delivery UK delivery is usually within 7 to 9 working days. Read full description.

Condition: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. Published by Cambridge University Press (1978). The spine remains undamaged. Seller Inventory GOR002112831. More information about this seller Contact this seller 1. Stock Image. A First Course in Mathematical Analysis. ISBN 10: 0521294681 ISBN 13: 9780521294683.

Burkill a Second Course in Mathematical Analysis. Please copy and paste this embed script to where you want to embed. March 18, 2017 Author: jean baptiste allamande Category: N/A. DOWNLOAD PDF - 3. MB.

This straightforward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. Particular attention is given to clarity of exposition and the logical development of the subject matter. A large number of examples is included, with hints for the solution of many of them.

Comments

Minnai Minnai
This book is entirely appropriate as an introduction to analysis for students already familiar with the Calculus. It is on the reading list at Cambridge and Oxford for their undergraduate analysis courses and its reputation is well established. It is not too abstruse but is exceptionally clear and straightforward.
Pad Pad
Better than expected. No scratches
Golden freddi Golden freddi
It is amazing that, despite the changing fads in the curriculum, this book has the quality to remain a steadfast bridge from School Mathematics on the first steps into the realm of the Maths specialist for over 40 years now.
The recipe is simple: keep it short, keep it sweet, keep it simple! Mr Burkill has produced a fine little book that gently guides the new student embarking on a specialism in Maths. The author has struck a good balance between the problem solving so familiar at school and introducing the rigour of Mathematical Analysis.
Familiar concepts like differentiation and integration are brought into play right after a quick refresher on numbers and then introducing the notion of limit within the framework of sequences. The delta-epsilon construct is used to great effect to give meaning to the ideas of convergence of sequences and the continuity of functions.
These then lead naturally to the Differential calculus where previously learnt ideas like the rules of differentiation are placed in a rigorous setting and interesting elementary analytical results such as the Mean Value Theorem and Taylor's theorem are discussed. The chapter on Infinite series together with the elementary rules for testing for convergence is followed by a chapter on the special functions of analysis as defined in terms of series - e.g. exp, log, sin, cos, etc.
The chapter on the Integral Calculus makes a natural next step utilising the ideas of an integral as a limit and of infinite series. Specific techniques such as the integral to infinity and approximation methods are placed on a rigorous footing. The final chapter introduces functions of several variables.
The book has lots of worked examples within the text, which aid understanding of new material. As a bonus, there are also several end of section with notes/hints at the end of the book.
Overall, this is a gentle introduction to Analysis and will help anyone who is overawed by the subject on first encounter.
Cordann Cordann
It is my textbook. Very good introductory book for year two university students who have some knowledge about Calculus and Linear algebra.
Andromajurus Andromajurus
Good book. Lacking in certain important mathematical concepts like lim sup and lim inf, but otherwise good so far.