Contemporary Calculus (Chapters 9-11)


Book Description

A beta edition of chapters 9-11 from Contemporary Calculus.




Contemporary Calculus III


Book Description

This is a textbook for 3rd quarter calculus covering the three main topics of (1) calculus with polar coordinates and parametric equations, (2) infinite series, and (3) vectors in 3D. It has explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas. The exposition and problem sets have been highly rated by reviewers.




Contemporary Calculus IV


Book Description

This is a textbook for 4th quarter calculus covering the Vectors, Vector-Valued Functions, Functions of Several Variables, and Double Integrals. It has explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas. The exposition and problem sets have been highly rated by reviewers.




Contemporary Calculus II


Book Description

This is a textbook for integral calculus with explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. The definite integral is introduced by Riemann sums as a way to evaluate "signed" areas, and the text contains the usual theorems and techniques of a first course in calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of integral calculus. The exposition and problem sets have been highly rated by reviewers.




Contemporary Calculus V


Book Description

This is chapters 14 and 15 of Contemporary Calculus. Chapter 14 covers double and triple integrals in rectangular, polar, cylindrical and spherical coordinates and changes of variables in those systems. Chapter 15 covers vector calculus including vector fields, divergence curl, the del operator, line integrals and the theorems of Green, Stokes and Gauss. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas. This material has been reviewed and successfully class tested.




Contemporary Calculus


Book Description

A print version of Chapters 4-8 from Dale Hoffman's Contemporary Calculus, an open-source calculus text. These chapters cover the concepts of integral calculus. Newly edited and typeset in LaTeX for improved readability. April 2015 preview edition omits five sections (final version available for Summer 2015 classes). Free PDF version available at: www.contemporarycalculus.com




Contemporary Calculus I


Book Description

This is a textbook for differential calculus with explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Topics are typically introduced by way of applications, and the text contains the usual theorems and techniques of a first course in calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of differential calculus. The exposition and problem sets have been highly rated by reviewers.




Modern Calculus and Analytic Geometry


Book Description

A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory — many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed.




Contemporary Calculus 3rd Semester


Book Description

This is a textbook for the third semester of calculus. The major topics are multiple integrals in rectangular, polar, cylindrical and spherical coordinates and vector calculus including vector fields, line integrals and the theorems of Green, Stokes and Gauss (divergence). The text has explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Topics are typically introduced by way of applications, and the text contains the usual theorems and techniques of a third semester of calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of calculus. The exposition and problem sets have been highly rated by reviewers




Land Use and Urban Form


Book Description

Originally published in 1987. The Consumption Theory of Land Rent or CTLR is a comprehensive model of the urban landscape developed by Grant Ian Thrall. Working from the basic idea that the same underlying processes account for the spatial structure of all places, Thrall shows how CTLR can be used as a tool to explain and predict the long-term consequences of policy decisions by governments, such as introducing light rail rapid transit, or parameter changes in the economy, such as a general rise in real income. Thrall’s methodology for the analysis of land rent and land use in a significant research accomplishment and a major analytical tool for students and professionals within city planning, regional science, urban geography, and urban economics.