2011, ISBN: 9783540403869
Hardcover
[PU: Springer], 592 Seiten hardcover This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced… More...
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2011, ISBN: 3540403868
Hardcover
Auflage: 2004 hardcover 592 Seiten Gebundene Ausgabe This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers… More...
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2003, ISBN: 9783540403869
Springer, 2003. Hardcover. Very Good. Disclaimer:A copy that has been read, but remains in excellent condition. Pages are intact and are not marred by notes or highlighting, but may con… More...
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ISBN: 9783540403869
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2004, ISBN: 9783540403869
Springer, 2004-01-22. 2004. Hardcover. Used:Good., Springer, 2004-01-22, 0
Biblio.co.uk |
2011, ISBN: 9783540403869
Hardcover
[PU: Springer], 592 Seiten hardcover This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced… More...
2011, ISBN: 3540403868
Hardcover
Auflage: 2004 hardcover 592 Seiten Gebundene Ausgabe This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers… More...
2003
ISBN: 9783540403869
Springer, 2003. Hardcover. Very Good. Disclaimer:A copy that has been read, but remains in excellent condition. Pages are intact and are not marred by notes or highlighting, but may con… More...
ISBN: 9783540403869
hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book., 2.5
2004, ISBN: 9783540403869
Springer, 2004-01-22. 2004. Hardcover. Used:Good., Springer, 2004-01-22, 0
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Details of the book - Mathematical Analysis I (Universitext)
EAN (ISBN-13): 9783540403869
ISBN (ISBN-10): 3540403868
Hardcover
Paperback
Publishing year: 2003
Publisher: Springer
578 Pages
Weight: 1,052 kg
Language: ger/Deutsch
Book in our database since 2007-06-05T23:17:13+01:00 (London)
Detail page last modified on 2024-03-12T10:55:53+00:00 (London)
ISBN/EAN: 9783540403869
ISBN - alternate spelling:
3-540-40386-8, 978-3-540-40386-9
Alternate spelling and related search-keywords:
Book author: cook, zorich, cooke, legendre, vladimir zoric
Book title: mathematical analysis
Information from Publisher
Author: V. A. Zorich
Title: Universitext; Mathematical Analysis I; Matematicheskij Analiz (Part I, 4th corrected edition, Moscow, 2002)
Publisher: Springer; Springer Berlin
574 Pages
Publishing year: 2003-11-20
Berlin; Heidelberg; DE
Printed / Made in
Translator: Roger Cooke
Weight: 2,250 kg
Language: English
53,45 € (DE)
54,95 € (AT)
72,07 CHF (CH)
Not available, publisher indicates OP
BB; Book; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Mathematik; differential calculus; integral calculus; calculus; functions; limits; real numbers; B; Analysis; Mathematics and Statistics; Theoretical, Mathematical and Computational Physics; Mathematische Physik; BC; BB
CONTENTS OF VOLUME I Prefaces Preface to the English edition Prefaces to the fourth and third editions Preface to the second edition From the preface to the first edition 1. Some General Mathematical Concepts and Notation 1.1 Logical symbolism 1.1.1 Connectives and brackets 1.1.2 Remarks on proofs 1.1.3 Some special notation 1.1.4 Concluding remarks 1.1.5 Exercises 1.2 Sets and elementary operations on them 1.2.1 The concept of a set 1.2.2 The inclusion relation 1.2.3 Elementary operations on sets 1.2.4 Exercises 1.3 Functions 1.3.1 The concept of a function (mapping) 1.3.2 Elementary classification of mappings 1.3.3 Composition of functions. Inverse mappings 1.3.4 Functions as relations. The graph of a function 1.3.5 Exercises 1.4 Supplementary material 1.4.1 The cardinality of a set (cardinal numbers) 1.4.2 Axioms for set theory 1.4.3 Set-theoretic language for propositions 1.4.4 Exercises 2. The Real Numbers 2.1 Axioms and properties of real numbers 2.1.1 Definition of the set of real numbers 2.1.2 Some general algebraic properties of real numbers a. Consequences of the addition axioms b. Consequences of the multiplication axioms c. Consequences of the axiom connecting addition and multiplication d. Consequences of the order axioms e. Consequences of the axioms connecting order with addition and multiplication 2.1.3 The completeness axiom. Least upper bound 2.2 Classes of real numbers and computations 2.2.1 The natural numbers. Mathematical induction a. Definition of the set of natural numbers b. The principle of mathematical induction 2.2.2 Rational and irrational numbers a. The integers b. The rational numbers c. The irrational numbers 2.2.3 The principle of Archimedes Corollaries 2.2.4 Geometric interpretation. Computational aspects a. The real line b. Defining a number by successive approximations c. The positional computation system 2.2.5 Problems and exercises 2.3 Basic lemmas on completeness  More/other books that might be very similar to this book
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