|
|
Sold Out
Book Categories |
The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincare and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces.
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Richard Smith
reviewed Analytic Functions of Several Complex Variables on March 11, 2014
Analytic Functions of Several Complex Variables
In writing "A Tour of the Calculus", there are three things that David Berlinski would like you to know, in order:
1. David Berlinski has read more books than you.
2. David Berlinski is well regarded among mathematicians.
3. The motivations and concepts that support calculus as a foundational achievement of modern thought.
Let me offer this praise: Berlinski faithfully and artfully expresses what almost every math teacher misses; The motivation for creating calculus was to understand a world of varying forces, flows, and influences. Questions like "Why do the planets move like they do?", "How fast is a cannonball moving in mid-flight?", and "How much concrete will I need to dam this river?" were not really answerable before calculus. Calculus gives us a way to quantify the nuances of natural phenomenon that was never available before in history. This is exciting, and the author communicates this excitement in the mirror of his own excitement.
This enthusiasm is quickly buried, however, in a mountain of cheeky literary references and irrelevant, boring asides. The author tries to bind all these together with metaphors, which are stretched to ludicrous lengths and ultimately break. These overlong side trips are neither explanatory nor entertaining.
Don't get me wrong. I do not wish mathematics to remain dry and unattainable. Ostensibly, neither does David Berlinski. I so wanted to be able to point to this book and tell others, "See, this is why calculus exists. This is why math is central to every aspect of modern life!" Alas, the book fails in this regard. It fails also in its stated mission to illustrate the formal, stuffy proofs that underpin calculus in a down-to-earth way. Every time such an illustration is attempted, it turns into a bizarre shaggy dog story that is a blend of historical fiction and motorcycle rides.
I cannot recommend this book; either as a calculus tutorial, or as entertainment.
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish List
X
This item is in your Collection
Analytic Functions of Several Complex Variables
X
This Item is in Your Inventory
Analytic Functions of Several Complex Variables
X
You must be logged in to review the productsX
X
X
Add Analytic Functions of Several Complex Variables, , Analytic Functions of Several Complex Variables to the inventory that you are selling on WonderClubX
X
Add Analytic Functions of Several Complex Variables, , Analytic Functions of Several Complex Variables to your collection on WonderClub |
