Table of Contents

A Review of Calculus with Analytic Geometry by Thurman S. Peterson

Calculus with Analytic Geometry is a classic textbook written by Thurman S. Peterson, a professor of mathematics at the University of Michigan. The book was first published in 1960 and has been reprinted several times since then. It covers the topics of calculus and analytic geometry in a rigorous and comprehensive way, with numerous examples, exercises, and illustrations.

The book is divided into 12 chapters, each focusing on a different aspect of calculus and analytic geometry. The chapters are:

1. Coordinates and Lines
2. Variables, Functions, and Limits
3. Differentiation and Applications
4. Integration and Applications
5. Transcendental Functions
6. Techniques of Integration
7. Infinite Series
8. Vectors and Analytic Geometry in Space
9. Partial Differentiation
10. Multiple Integrals
11. Vector Analysis
12. Differential Equations

The book is suitable for students who have a solid background in algebra, trigonometry, and geometry, and who want to learn calculus and analytic geometry in depth. The book can be used as a textbook for a two-semester course or as a reference for advanced students and teachers. The book is also available as a pdf file online for free download.

Calculus with Analytic Geometry is a well-written and well-organized book that provides a thorough and clear exposition of calculus and analytic geometry. It is one of the classic books in the field and has been praised by many reviewers and readers. The book is highly recommended for anyone who wants to learn or teach calculus and analytic geometry.

One of the features of the book is that it includes a lot of applications of calculus and analytic geometry to various fields of science and engineering, such as physics, chemistry, biology, astronomy, mechanics, electricity, and magnetism. The book also shows how calculus and analytic geometry can be used to solve problems that involve optimization, approximation, curve fitting, and modeling. The book provides many examples of such applications and problems throughout the chapters.

Another feature of the book is that it emphasizes the geometric aspects of calculus and analytic geometry, as well as the algebraic and analytic ones. The book uses graphs, diagrams, and figures to illustrate the concepts and methods of calculus and analytic geometry. The book also explains how calculus and analytic geometry can be used to study the properties and shapes of curves and surfaces in two and three dimensions. The book introduces topics such as conic sections, polar coordinates, parametric equations, vector functions, and quadric surfaces in a clear and intuitive way.

The book is well-designed and well-structured, with a logical and coherent progression of topics. The book starts with the basics of coordinates and lines, then moves on to the concepts of functions, limits, derivatives, integrals, and series. The book then covers the topics of transcendental functions, techniques of integration, vectors and analytic geometry in space, partial differentiation, multiple integrals, vector analysis, and differential equations. The book ends with an appendix that contains tables of formulas, trigonometric identities, integrals, derivatives, series expansions, and other useful information.