Author bio

Bernard Kolman

Bernard Kolman - book author

Bernard Kolman received his B.S. (summa cum laude with honors in mathematics and physics) from Brooklyn College in 1954, his Sc.M. from Brown University in 1956, and his Ph.D. from the University of Pennsylvania in 1965, all in mathematics. During the summers of 1955 and 1956, he worked as a mathematician for the U.S. Navy, and IBM, respectively, in areas of numerical analysis and simulation. From 1957-1964, he was employed by the UNIVAC Division of Sperry Rand Corporation, working in the areas of operations research, numerical analysis, and discrete mathematics. He has also had extensive experience as a consultant to industry in operations research. From 1964-1998, he was a member of the Mathematics Department at Drexel University, where he also served as Acting Head of this department. Since 1964, his research activities have been in the areas of Lie algebras and operations research.

Professor Kolman is the author of numerous papers, primarily in Lie algebras, and has organized several conferences in this area. He is also well known as the author of many mathematics textbooks that are used worldwide and have been translated into other languages.

Bernard Kolman is the author of books: Introductory Linear Algebra: An Applied First Course, Elementary Linear Algebra with Applications, Introductory Linear Algebra with Applications, Discrete Mathematical Structures, Introductory Linear Algebra With Applications - Students Solutions Manual, Elementary Linear Algebra, Discrete Mathematical Structures for Computer Science, Student Solutions Manual for Elementary Linear Algebra with Applications, Elementary Linear Programming with Applications, Precalculus: Functions and Graphs

Author books

The most applied of our basic books in this market, this text has a superb range of problem sets. Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.
This book presents the basic ideas of linear algebra in a manner that users will find understandable. It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.
This work aims to tie together discrete topics with a theme. It covers areas such as fundamentals, logic, counting, relations and digraphs, trees, topics in graph theory, languages and finite-state machines, and groups and coding.
This introduction to linear algebra offers a balance between abstraction/theory and computational skills. KEY TOPICS: Linear Equations and Matrices. Real Vector Spaces. Inner Product Spaces. Linear Transformations and Matrices. Determinants. Eigenvalues and Eigenvectors. Differential Equations. MATLAB for Linear Algebra. MATLAB Exercises. For anyone needing a basic understanding of matrix theory or computational skills involving linear algebra.
Linear programming finds the least expensive way to meet given needs with available resources. Its results are used in every area of engineering and commerce: agriculture, oil refining, banking, and air transport. Authors Kolman and Beck present the basic notions of linear programming and illustrate how they are used to solve important common problems. The software on the included disk leads students step-by-step through the calculations.

The Second Edition is completely revised and provides additional review material on linear algebra as well as complete coverage of elementary linear programming. Other topics covered include: the Duality Theorem; transportation problems; the assignment problem; and the maximal flow problem. New figures and exercises are provided and the authors have updated all computer applications.

More review material on linear algebra
Elementary linear programming covered more efficiently
Presentation improved, especially for the duality theorem, transportation problems, the assignment problem, and the maximal flow problem
New figures and exercises
Computer applications updated
New guide to inexpensive linear programming software for personal computers