The Integration of Functions of a Single Variable, Vol 2 Classic Reprint
Language: English
Published by Forgotten Books, 2018
- Hardcover
- New

Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
AbeBooks seller since April 7, 2005
Condition: New
US$ 38.70
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Add to basketItem description from seller
Seller Inventory # LX-9780260190727
- Title
- The Integration of Functions of a Single Variable, Vol 2 Classic Reprint
- Author
- G. H. Hardy
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- HRD
- Language
- English
- ISBN 10
- 0260190721
- ISBN 13
- 9780260190727
- Item weight
- 294 grams
Discover how difficult integrals unlock new kinds of functions and how they fit into a larger theory of numbers and curves.
This edition presents the ideas behind algebraical and transcendental functions with a focus on finite form, elliptic integrals, and the role of Liouville’s work in deciding when an integral can be expressed by elementary means. The material is suitable for readers who want a solid, structured approach to advanced calculus and the theory of functions, without requiring deep prior research.
The book surveys how integrals relate to algebraic curves, the notion of deficiency, and the conditions that make certain integrals reducible to known forms. It ties together historical proofs, practical methods, and the limits of current techniques, all explained at a level accessible to motivated readers with a solid undergraduate background.- How certain integrals connect to elliptic and Abelian forms, and what that means for expressibility.
- Liouville’s theorems on when integrals are elementary, including the role of exponential and logarithmic terms.
- A guided look at when to expect finite-term solutions versus genuinely new transcendents.
- Examples that illustrate transforming complex integrals into standard, recognizable forms.
"Synopsis" may belong to another edition of this title.
PBShop.store US
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