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Mathematical Analysis I (Universitext) - Zorich, V. A. and Roger Cooke
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Zorich, V. A. and Roger Cooke:

Mathematical Analysis I (Universitext) - Paperback

2011, ISBN: 9783540403869

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[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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Mathematical Analysis I (Universitext) - Zorich, V. A. and Roger Cooke
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Zorich, V. A. and Roger Cooke:

Mathematical Analysis I (Universitext) - Paperback

2011, ISBN: 3540403868

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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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Vladimir A. Zorich:
Mathematical Analysis I - hardcover

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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Vladimir A. Zorich:
Mathematical Analysis I (Universitext) - hardcover

ISBN: 9783540403869

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V. A. Zorich, Roger Cooke (Translator):
Mathematical Analysis I (Universitext) - hardcover

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)

This softcover edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions. Especially notable in this course is the clearly expressed orientation toward the natural sciences and its informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems and fresh applications to areas seldom touched on in real analysis books.The first volume constitutes a complete course on one-variable calculus along with the multivariable differential calculus elucidated in an up-to-day, clear manner, with a pleasant geometric flavor.

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  

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