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Integration II
  • Language: en
  • Pages: 332

Integration II

Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations).

Theory of Sets
  • Language: en
  • Pages: 418

Theory of Sets

This is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Thorie des Ensembles (1970).

Integration I
  • Language: en
  • Pages: 487

Integration I

This is the sixth and last of the books that form the core of the Bourbaki series, comprising chapters 1-6 in English translation. One striking feature is its exposition of abstract harmonic analysis and the structure of locally compact Abelian groups. This English edition corrects misprints, updates references, and revises the definition of the concept of measurable equivalence relations.

General Topology
  • Language: en
  • Pages: 454

General Topology

This is the softcover reprint of the English translation of 1971 (available from Springer since 1989) of the first 4 chapters of Bourbaki's Topologie générale. It gives all the basics of the subject, starting from definitions. Important classes of topological spaces are studied, uniform structures are introduced and applied to topological groups. Real numbers are constructed and their properties established. Part II, comprising the later chapters, Ch. 5-10, is also available in English in softcover.

Séminaire Bourbaki
  • Language: en
  • Pages: 303

Séminaire Bourbaki

  • Type: Book
  • -
  • Published: 1977-01-20
  • -
  • Publisher: Springer

None

General Topology
  • Language: en
  • Pages: 372

General Topology

This is the softcover reprint of the 1974 English translation of the later chapters of Bourbaki’s Topologie Generale. Initial chapters study subgroups and quotients of R, real vector spaces and projective spaces, and additive groups Rn. Analogous properties are then studied for complex numbers. Later chapters illustrate the use of real numbers in general topology and discuss various topologies of function spaces and approximation of functions.

Elements of the History of Mathematics
  • Language: en
  • Pages: 299

Elements of the History of Mathematics

Each volume of Nicolas Bourbakis well-known work, The Elements of Mathematics, contains a section or chapter devoted to the history of the subject. This book collects together those historical segments with an emphasis on the emergence, development, and interaction of the leading ideas of the mathematical theories presented in the Elements. In particular, the book provides a highly readable account of the evolution of algebra, geometry, infinitesimal calculus, and of the concepts of number and structure, from the Babylonian era through to the 20th century.

Séminaire Bourbaki
  • Language: en

Séminaire Bourbaki

  • Type: Book
  • -
  • Published: 2006-08-01
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  • Publisher: Springer

None

Functions of a Real Variable
  • Language: en
  • Pages: 343

Functions of a Real Variable

This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

Artificial Intelligence Methods and Applications
  • Language: en
  • Pages: 732

Artificial Intelligence Methods and Applications

This volume is the first in a series which deals with the challenge of AI issues, gives updates of AI methods and applications, and promotes high quality new ideas, techniques and methodologies in AI. This volume contains articles by 38 specialists in various AI subfields covering theoretical and application issues. Contents:Introduction to Advanced Series on Artificial Intelligence (N G Bourbakis)Fundamental Methods for Horn Logic and Artificial Intelligence Applications (E Kounalis & P Marquis)Applications of Genetic Algorithms to Permutation Problems (F E Petry & B P Buckles)Extracting Procedural Knowledge from Software Systems Using Inductive Learning in the PM System (R G Reynolds et al.)Resource-Oriented Parallel Planning (S Lee & K Chung)Advanced Parsing Technology for Knowledge-Based Shells (J R Kipps)The Analysis and Synthesis of Intelligent Systems (W Arden)Document Image Analysis and Recognition (S N Srihari et al.)Signal Understanding: An Artificial Intelligence Approach to Modulation Classification (J E Whelchel et al.)and other papers Readership: Computer scientists, researchers and professionals in artificial intelligence. keywords: