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Calculus And Analytic Geometry
is the title the user is requesting for a specific textbook, likely seeking a summary, table of contents, or key themes of the "Calculus and Analytic Geometry 4th edition" by George B. Thomas. The book is a foundational text in the field, renowned for its thorough coverage of core calculus topics and integration with analytic geometry.
Key Content & Themes
The 4th edition of the book, primarily by George B. Thomas and published in 1969 by Addison-Wesley, is a comprehensive introduction to calculus.
Core Topics Covered:
Limits and Continuity: The foundational concepts of calculus.
Differential Calculus: Topics include differentiation, theorems on differentiation, implicit differentiation, and applications of the derivative, such as Newton's method and marginal analysis in economics.
Integral Calculus: Covers indefinite and definite integrals, integration by substitution, and the application of integration to areas and differential equations.
Analytic Geometry: Uses a coordinate system to represent geometric shapes and their properties through algebraic equations, bridging algebra and geometry.
Advanced Topics (in the complete volume): The full text also introduces linear algebra, functions of several variables, infinite series, vector analysis, and differential equations.
Book Overview
Title: Calculus and Analytic Geometry
Author: George B. Thomas
Edition: 4th Edition
Publisher: Addison-Wesley Publishing Company
Publication Year: 1969
Format: The complete book is a substantial volume (around 818 pages), also available in two separate parts.
The book is celebrated for its rigorous yet approachable style, providing students with a solid grasp of both traditional calculus skills and problem-solving strategies.
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