The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.
Foundations of Differential Calculus
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Text: English (translation)
Original Language: Latin
Original Language: Latin
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23 of 24 people found the following review helpful:
5.0 out of 5 stars
A Classic and a Current,
This review is from: Foundations of Differential Calculus (Hardcover)
While Newton (arguably) founded the subject, Euler (pronounced 'oiler') developed all the methods used today in Differential Calculus. Not only was Leonhard Euler the greatest Mathematician of his day (he actually wrote over a quarter of the tracts from the 18th century!), but he wrote in a humbling and readable manner such that anyone with a foundation may approach his proofs. And this text is no different; simply a book any mathematician should own. Truly one of the milestones of Calculus.
21 of 27 people found the following review helpful:
5.0 out of 5 stars
PART 1 OF BOOK,
By Dark one "Darkstar" (Austria) - See all my reviews
This review is from: Foundations of Differential Calculus (Hardcover)
I was disappointed when I opened the box to find a skinny hardcover 6" by 8" book. I was expecting a full blown thick textbook for the price of $60. This is more of a novelty item for those of you who wish to find out how the theory of differentiation started from scratch. The book has the first steps and analysis that lead to the power rule etc. There is lot of useful information but the notations are a bit a different. This is not a text book with problems and solution. There are examples but these examples are nothing like you'd find in a calculus class. I think this book should be sold for $25 tops. Another thing is that when Euler wrote this book, it had 23 chapters, this is only the first 9 chapters so it leaves you shy of the whole picture. There is about 15 pages on solving Linear Differential equations. I have not read the book word per word yet. So for the intelligent ones, there may be more information they could harvest out of this book. This book is definitely over priced!
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Inside This Book
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First Sentence:
1. From what we have said in a previous book about variables and functions, it should be clear enough that as a variable changes, the values of all functions dependent on that variable also change. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quantity whose differential, general partial sum, vanishing increments, function whose difference, finite equation, infinitely large quantity, transcendental quantities, exponential quantities, hyperbolic logarithm, higher differentials, fixed signification, whose general term, desired differential, infinitely small quantity, assignable quantity, first differential, finite ratio, third differential, second differential, infinitely small quantities, constant differential, higher geometry, geometric ratio, versed sine New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
1. From what we have said in a previous book about variables and functions, it should be clear enough that as a variable changes, the values of all functions dependent on that variable also change. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
quantity whose differential, general partial sum, vanishing increments, function whose difference, finite equation, infinitely large quantity, transcendental quantities, exponential quantities, hyperbolic logarithm, higher differentials, fixed signification, whose general term, desired differential, infinitely small quantity, assignable quantity, first differential, finite ratio, third differential, second differential, infinitely small quantities, constant differential, higher geometry, geometric ratio, versed sine New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
5
books
cite this book:
- The Calculus Gallery: Masterpieces from Newton to Lebesgue by William Dunham in Back Matter (1), and Back Matter (2)
- Infinitesimal Analysis (Mathematics and Its Applications (closed)) by E.I. Gordon in Back Matter
- Conflicts Between Generalization, Rigor, and Intuition: Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany ... History of Mathematics and Physical Sciences) by Gert Schubring in Back Matter
- A History of Analysis (History of Mathematics, V. 24) by Hans Niels Jahnke on page 134
- The Teaching and Learning of Mathematics at University Level - An ICMI Study (NEW ICMI STUDY SERIES Volume 7) by Derek Holton on page 504
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