# The Implicit Function Theorem: History, Theory, and Applications

## Krantz, Steven G.; Parks, Harold R.

Valutazione media 4,67
( su 3 valutazioni fornite da GoodReads )

The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for C^k functions, (ii) formulations in other function spaces, (iii) formulations for non- smooth functions, (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash--Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present volume. The history of the implicit function theorem is a lively and complex story, and is intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. "The Implicit Function Theorem" is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

Contenuti:

Preface * Introduction to the Implicit Function Theorem * History * Basic Ideas * Applications * Variations and Generalizations * Advanced Implicit Function Theorems * Glossary * Bibliography * Index

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 23,84

Spese di spedizione: EUR 5,54
Da: Hong Kong a: U.S.A.

Destinazione, tempi e costi

Aggiungere al carrello

### I migliori risultati di ricerca su AbeBooks

Edizione Internazionale

## 1.The Implicit Function Theorem: History, Theory, and Applications

Editore: Secaucus, New Jersey, U.S.A.: Birkhauser (2002)
ISBN 10: 0817642854 ISBN 13: 9780817642853
Nuovi Soft cover Quantità: > 20
Edizione Internazionale
Da
Greenland Texts
(Mongkok, KL, Hong Kong)
Valutazione libreria

Descrizione libro Secaucus, New Jersey, U.S.A.: Birkhauser, 2002. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. International Edition. Low price guarantee! The book is the brand new international edition textbook with the different ISBN and cover design. The book main content black/white printed in full English as same as the corresponding original US edition. Fast shipments will sent out by DHL/UPS or standard post mail with tracking numbers in one to two working days after the orders confirmed. Codice libro della libreria ABE-10731534669

Compra nuovo
EUR 23,84
Convertire valuta
Spese di spedizione: EUR 5,54
Da: Hong Kong a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale

## 2.The Implicit Function Theorem: History, Theory, and Applications

Editore: Secaucus, New Jersey, U.S.A.: Birkhauser (2002)
ISBN 10: 0817642854 ISBN 13: 9780817642853
Nuovi Soft cover Prima edizione Quantità: > 20
Edizione Internazionale
Da
Sizzler Texts
Valutazione libreria

Descrizione libro Secaucus, New Jersey, U.S.A.: Birkhauser, 2002. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice libro della libreria ABE-10731534765

Compra nuovo
EUR 23,82
Convertire valuta
Spese di spedizione: EUR 9,26
In U.S.A.
Destinazione, tempi e costi

## 3.The Implicit Function Theorem: History, Theory, and Applications

Editore: Birkhäuser (2002)
ISBN 10: 0817642854 ISBN 13: 9780817642853
Nuovi Rilegato Quantità: 3
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria

Descrizione libro Birkhäuser, 2002. Hardcover. Condizione libro: New. Codice libro della libreria P110817642854

Compra nuovo
EUR 65,64
Convertire valuta
Spese di spedizione: EUR 2,77
In U.S.A.
Destinazione, tempi e costi

## 4.The Implicit Function Theorem: History, Theory, and Applications

Editore: Birkhäuser (2002)
ISBN 10: 0817642854 ISBN 13: 9780817642853
Nuovi Rilegato Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro Birkhäuser, 2002. Hardcover. Condizione libro: New. 1. Codice libro della libreria DADAX0817642854

Compra nuovo
EUR 158,75
Convertire valuta
Spese di spedizione: EUR 3,70
In U.S.A.
Destinazione, tempi e costi