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Calcul sur les collecteurs : une approche moderne des théorèmes classiques avancés : utilisé

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Numéro de l'objet eBay :364014790604
Dernière mise à jour : avr. 30, 2025 22:18:08 HAEAfficher toutes les modificationsAfficher toutes les modifications

Caractéristiques de l'objet

État
Bon: Un livre qui a été lu, mais qui est en bon état. La couverture présente des dommages infimes, ...
Book Title
Calculus On Manifolds: A Modern Approach To Classical Theorems Of
Publication Date
1971-01-22
Pages
162
ISBN
0805390219

À propos de ce produit

Product Identifiers

Publisher
CRC Press LLC
ISBN-10
0805390219
ISBN-13
9780805390216
eBay Product ID (ePID)
639620

Product Key Features

Number of Pages
161 Pages
Language
English
Publication Name
Calculus on Manifolds : a Modern Approach to Classical Theorems of Advanced Calculus
Subject
General, Calculus, Topology
Publication Year
1971
Type
Textbook
Author
Michael Spivak
Subject Area
Mathematics
Format
Trade Paperback

Dimensions

Item Height
0.4 in
Item Weight
7.9 Oz
Item Length
8.2 in
Item Width
5.5 in

Additional Product Features

Intended Audience
College Audience
Illustrated
Yes
Dewey Decimal
517.34
Table Of Content
Functions on Euclidean Space * Norm and inner Product * Subsets of Euclidean Space * Functions and Continuity Differentiation * Basic Definitions * Basic Theorems * Partial Derivatives * Inverse Functions * Implicit Functions * Notation Integration * Basic Definitions * Measure Zero and Content Zero * Integrable Functions * Fubinis Theorem * Partitions of Unity * Change of Variable Integration on Chains * Algebraic Preliminaries * Fields and Forms * Geometric Preliminaries * The Fundamental Theorem of Calculus Integration on Manifolds * Manifolds * Fields and Forms on Manifolds * Stokes Theorem on Manifolds * The Volume Element * The Classical Theorems
Synopsis
This little book is especially concerned with those portions of ?advanced calculus? in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential., This little book is especially concerned with those portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential., This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
LC Classification Number
QA612

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Moyenne au cours des 12 derniers mois
Qualité de la description
4.9
Justesse des frais d'expédition
5.0
Rapidité de l'expédition
4.9
Communication
4.9

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  • a***a (346)- Évaluation laissée par l'acheteur.
    Six derniers mois
    Achat vérifié
    This hardback book is of the highest quality, has a fine appearance , arrived in perfect condition, and is an excellent value. On what I was not asked about this time, communicating with the seller would have required using email outside of the eBay system, because they do not accept eBay messages, the book was well packed in a purpose-designed cardboard box, the shipping was faster than I expected for the bound media rate, and the book was exactly as described and pictured.
  • r***w (210)- Évaluation laissée par l'acheteur.
    Six derniers mois
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    Item was lost in delivery- but after some communication, seller was understanding and provided a refund. I ordered another and had it sent elsewhere. My main issue was that it felt as if I was getting automated responses at first!! Please have humans review human inquiries!! It was painstaking explaining the situation to an A.I. who only repeats unhelpful replies. Thanks again!! Otherwise. Great price! Great seller!
  • g***j (1262)- Évaluation laissée par l'acheteur.
    Six derniers mois
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    Item as described. Shipped quick. Packed well. They accidentally gave me the wrong tracking number. I contacted them twice with my concerns that package third party shipper never was received at USPS as of 5 days after it said they shipped. They helped me through but neglected to see they had issued me an incorrect tracking number. Otherwise, my transaction was excellent. I will give them a 5star rating since they quickly tried to help me with my concerns. Anyone can make a mistake.