This book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis.
The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.
The book also provides a comprehensive exposition of the Theory of Numerosity, a new way of counting (countable) infinite sets that maintains the ancient Euclid's Principle: "The whole is larger than its parts". The book is organized into five parts: Alpha-Calculus, Alpha-Theory, Applications, Foundations, and Numerosity Theory.
"synopsis" may belong to another edition of this title.
This book is the result of a scientific collaboration among different perspectives of mathematics. The first author is a leading figure in variational and topological methods in nonlinear analysis, and has cultivated a broad range of interests in applications of mathematics; while the second author is a specialist in mathematical logic and in the foundations of nonstandard analysis.
"About this title" may belong to another edition of this title.
Book Description Hardcover. Condition: new. Seller Inventory # 9789812836373
Book Description Condition: New. Seller Inventory # ABLIING23Apr0412070095069
Book Description Condition: New. Seller Inventory # 6132663-n
Book Description HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # CX-9789812836373
Book Description hardback. Condition: New. Language: ENG. Seller Inventory # 9789812836373
Book Description Condition: New. Seller Inventory # 6132663-n
Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9789812836373_lsuk
Book Description Condition: new. Seller Inventory # dcb1c5158bda3bd48f8ad6939d1aa1cc
Book Description HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # CX-9789812836373
Book Description Hardcover. Condition: Brand New. 200 pages. 9.75x7.25x1.00 inches. In Stock. Seller Inventory # x-9812836373