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# đź“™ Advanced Calculus: A Differential Forms Approach by Harold M. Edwards (auth.) â€” epub download

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My first book had a perilous childhood. With this new edition, I hope it has reached a secure middle age. The book was born in 1969 as an "innovative textÂ book"-a breed everyone claims to want but which usuÂ ally goes straight to the orphanage. My original plan had been to write a small supplementary textbook on differenÂ tial forms, but overly optimistic publishers talked me out of this modest intention and into the wholly unrealistic obÂ jective (especially unrealistic for an unknown 30-year-old author) of writing a full-scale advanced calculus course that would revolutionize the way advanced calculus was taught and sell lots of books in the process. I have never regretted the effort that I expended in the pursuit of this hopeless dream-{}nly that the book was published as a textbook and marketed as a textbook, with the result that the case for differential forms that it tried to make was hardly heard. It received a favorable teleÂ graphic review of a few lines in the American Mathematical Monthly, and that was it. The only other way a potential reader could learn of the book's existence was to read an advertisement or to encounter one of the publisher's salesÂ men. Ironically, my subsequent books-Riemann :S Zeta Function, Fermat:S Last Theorem and Galois Theory-sold many more copies than the original edition of Advanced Calculus, even though they were written with no commerÂ cial motive at all and were directed to a narrower group of readers.

- Author:
**Harold M. Edwards (auth.)** - Year:
**1994** - Publisher:
**BirkhĂ¤user Basel** - Language:
**English** - ISBN:
**978-1-4612-6688-4,978-1-4612-0271-4**

- File size:
**15 014 936** - Format:
**pdf**

Security code:

The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. AccordÂ ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype o...

Features an introduction to advanced calculus and highlights its inherent concepts from linear algebraAdvanced Calculus reflects the unifying role of linear algebra in an effort to smooth readers' transition to advanced mathematics. The book fosters the d...

The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. AccordÂ ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype o...

A rigorous introduction to calculus in vector spacesThe concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the ...

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy ...

This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students taking courses in multivariable calculus, this innovative book aims to make the subject more r...

This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms....

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from ro...

Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from ro...

CISSP GUIDE TO SECURITY ESSENTIALS CISSP Guide to Security Essentials provides readers with the tools and resources they need to develop a thorough understanding of the entire CISSP Certification Body of Knowledge. Using a variety of pedagogical features ...

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Das Buch vermittelt Basiswissen ĂĽber Physik und Technik des Lasers. Den Autoren gelingt es, alle fĂĽr das VerstĂ¤ndnis der Lasertechnik notwendigen physikalischen ZusammenhĂ¤nge ohne einen aufwendigen mathematischen Apparat zu erlĂ¤utern. In 24 Kapiteln werde...

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