Lightstone, A. H.
Overview
Works:  14 works in 125 publications in 2 languages and 2,946 library holdings 

Genres:  Academic theses 
Roles:  Author 
Classifications:  QA303, 512.81 
Publication Timeline
.
Most widely held works by
A. H Lightstone
Nonarchimedean fields and asymptotic expansions by
A. H Lightstone(
Book
)
21 editions published between 1975 and 2016 in English and held by 554 WorldCat member libraries worldwide
NorthHolland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function. The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the method of mathematical logic, ultrapower construction, principles of permanence, internal functions, manysorted structures, nonarchimedean fields and groups, and fields with evaluation. The text then discusses the EulerMaclaurin expansions and the formal concept of asymptotic expansions. Topics include a generalized criterion for asymptotic expansions, asymptotic power series, Watson's Lemma, asymptotic sequences, and the EulerMaclaurin formula. The manuscript examines Popken space, including asymptotically finite functions, convergence, norm, algebraic properties of the norm, and Popken's description of the norm. The text is a dependable reference for mathematicians and researchers interested in nonarchimedean fields and asymptotic expansions
21 editions published between 1975 and 2016 in English and held by 554 WorldCat member libraries worldwide
NorthHolland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function. The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the method of mathematical logic, ultrapower construction, principles of permanence, internal functions, manysorted structures, nonarchimedean fields and groups, and fields with evaluation. The text then discusses the EulerMaclaurin expansions and the formal concept of asymptotic expansions. Topics include a generalized criterion for asymptotic expansions, asymptotic power series, Watson's Lemma, asymptotic sequences, and the EulerMaclaurin formula. The manuscript examines Popken space, including asymptotically finite functions, convergence, norm, algebraic properties of the norm, and Popken's description of the norm. The text is a dependable reference for mathematicians and researchers interested in nonarchimedean fields and asymptotic expansions
Concepts of calculus by
A. H Lightstone(
Book
)
31 editions published between 1963 and 1966 in English and Undetermined and held by 546 WorldCat member libraries worldwide
31 editions published between 1963 and 1966 in English and Undetermined and held by 546 WorldCat member libraries worldwide
Symbolic logic and the real number system; an introduction to the foundations of number systems by
A. H Lightstone(
Book
)
25 editions published between 1965 and 1966 in English and Undetermined and held by 528 WorldCat member libraries worldwide
25 editions published between 1965 and 1966 in English and Undetermined and held by 528 WorldCat member libraries worldwide
Mathematical logic : an introduction to model theory by
A. H Lightstone(
Book
)
15 editions published between 1977 and 1978 in English and held by 496 WorldCat member libraries worldwide
Before his death in March, 1976, A.H. Lightstone delivered the manu script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H.B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied
15 editions published between 1977 and 1978 in English and held by 496 WorldCat member libraries worldwide
Before his death in March, 1976, A.H. Lightstone delivered the manu script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H.B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied
The axiomatic method; an introduction to mathematical logic by
A. H Lightstone(
Book
)
16 editions published between 1963 and 1964 in English and held by 455 WorldCat member libraries worldwide
16 editions published between 1963 and 1964 in English and held by 455 WorldCat member libraries worldwide
Fundamentals of linear algebra by
A. H Lightstone(
Book
)
5 editions published in 1969 in English and held by 205 WorldCat member libraries worldwide
5 editions published in 1969 in English and held by 205 WorldCat member libraries worldwide
Linear algebra by
A. H Lightstone(
Book
)
4 editions published in 1969 in English and held by 148 WorldCat member libraries worldwide
4 editions published in 1969 in English and held by 148 WorldCat member libraries worldwide
Symbolic logic and the real number system. International student reprint by
A. H Lightstone(
Book
)
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 3 WorldCat member libraries worldwide
Mathematical logic by
A. H Lightstone(
Book
)
1 edition published in 1978 in Undetermined and held by 2 WorldCat member libraries worldwide
1 edition published in 1978 in Undetermined and held by 2 WorldCat member libraries worldwide
Contributions to the theory of quantification by
A. H Lightstone(
Book
)
1 edition published in 1955 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1955 in English and held by 2 WorldCat member libraries worldwide
Solutions to the exercises for Concepts of calculus I by
A. H Lightstone(
Book
)
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1966 in English and held by 2 WorldCat member libraries worldwide
Nonarchimedean fields and asymptotic expansions by
A. H Lightstone(
Book
)
1 edition published in 1975 in Dutch and held by 2 WorldCat member libraries worldwide
1 edition published in 1975 in Dutch and held by 2 WorldCat member libraries worldwide
On transfinite numbers by
A. H Lightstone(
Book
)
2 editions published between 1953 and 1963 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1953 and 1963 in English and held by 2 WorldCat member libraries worldwide
Concepts of calculus III by
A. H Lightstone(
Book
)
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
1 edition published in 1965 in English and held by 1 WorldCat member library worldwide
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