Technical Mathematics With Calculus

by Calter, Paul A.; Calter, Michael A.

• ISBN13: 9780470917756
• ISBN10: 047091775X
• Edition: 6th
• Format: Loose-leaf
• Copyright: 2010-12-28
• Publisher: Wiley

Summary

This text is designed to provide a mathematically rigorous, comprehensive coverage of topics and applications, while still being accessible to students. Calter/Calter focuses on developing students’ critical thinking skills as well as improving their proficiency in a broad range of technical math topics such as algebra, linear equations, functions, and integrals. Using abundant examples and graphics throughout the text, this edition provides several features to help students visualize problems and better understand the concepts. Calter/Calter has been praised for its real-life and engineering-oriented applications. The sixth edition of Technical Mathematics has added back in popular topics including statistics and line graphing in order to provide a comprehensive coverage of topics and applications—everything the technical student may need is included, with the emphasis always on clarity and practical applications. WileyPLUS, an online teaching and learning environment that integrates the entire digital text, will be available with this edition.

Author Biography

Paul A. Calter is a Visiting Scholar at Dartmouth College and Professor Emeritus of Mathematics at Vermont Technical College. He is a book review editor of the Nexus Network Journal and has interests in both the fields of mathematics and art. He received his B.S. from Cooper Union and his M.S. from Columbia University, both in engineering, and his Masters of Fine Arts Degree from Norwich University. Calter has taught mathematics for over twenty-five years and is the author of ten mathematics textbooks and a mystery novel. He has been an active painter and sculptor since 1968, has had many solo shows and participated in dozens of group art shows, and has permanent outdoor sculptures at a number of locations. Calter developed a course called "Geometry in Art & Architecture," which he has taught at Dartmouth College and Vermont Technical College, and he has taught at Dartmouth College and Vermont Technical College, and he has given workshops and lectures on the subject. Calter's own art is concerned with astronomical and geometric themes; he searches for a link between the organic and geometric basis of beauty, what has been called the philosopher's stone of aesthetics.

Table of Contents

Numerical Computation.

Introduction to Algebra.

Simple Equations and Word Problems.

Functions.

Graphs.

Geometry.

Right Triangles and Vectors.

Factors and Factoring.

Fractions and Fractional Equations.

Systems of Linear Equations.

Determinants.

Matrices.

Exponents and Radicals.

Quadratic Equations.

Oblique Triangles and Vectors.

Radian Measure, Arc Length, and Rotation.

Graphs of the Trigonometric Functions.

Trigonometric Identities and Equations.

Ratio, Proportion, and Variation.

Exponential and Logarithmic Functions.

Complex Numbers.

Analytic Geometry.

Binary, Hexadecimal, Octal, and BCD Numbers.

Inequalities and Linear Programming.

Sequences, Series, and the Binomial Theorem.

Introduction to Statistics and Probability.

Derivatives of Algebraic Functions.

Graphical Applications of the Derivative.

More Applications of the Derivative.

Integration.

Applications of the Integral.

More Applications of the Integral.

Derivatives of Trigonometric, Logarithmic, and Exponential Functions.

Methods of Integration.

Differential Equations.

Solving Differential Equations by the Laplace Transform and by Numerical Methods.

Infinite Series.

Appendices.

Indexes.