"Presents a summary of selected mathematics topics from college/university level mathematics courses. Fundamental principles are reviewed and presented by way of examples, figures, tables and diagrams. It condenses and presents under one cover basic concepts from several different applied mathematics topics"--P. [4] of cover.

An introduction to the analysis of finite series, infinite series, finite products and infinite products and continued fractions with applications to selected subject areas. Infinite series, infinite products and continued fractions occur in many different subject areas of pure and applied mathematics and have a long history associated with their development. The mathematics contained within these pages can be used as a reference book on series and related topics. The material can be used to augment the mathematices found in traditional college level mathematics course and by itself is suitable for a one semester special course for presentation to either upper level undergraduates or beginning level graduate students majoring in science, engineering, chemistry, physics, or mathematics. Archimedes used infinite series to find the area under a parabolic curve. The method of exhaustion is where one constructs a series of triangles between the arc of a parabola and a straight line. A summation of the areas of the triangles produces an infinite series representing the total area between the parabolic curve and the x-axis.

A mathematics textbook providing an introduction to fundamental concepts from the theory of complex variables together with numerous worked examples and applications. The textbook contains both elementary and advanced material which is suitable for a one or two semester course in complex variable theory for beginning graduate students in mathematics, physics, engineering and the sciences. There is sufficient elementary material so that the textbook would be suitable for an upper level undergraduate course in complex variable theory.
The textbook contains numerous worked examples and a large number of exercises at the end of each chapter. The appendix C contains hints and answers to over 85 percent of the exercise problems. Some of the more difficult problems are worked out in step-by-step detail.
An examination of the table of contents and exercise problems at the end of each chapter will illustrate the variety of applications presented. In addition to fundamentals the reader is provided with an introduction to many specialized topics involving complex variables. The text material concludes with a chapter on the Fourier, Laplace and Z-transforms followed by a chapter on special functions.

An introductory numerical methods, numerical analysis textbook. The textbook contains basic introductory concepts suitable for the numerical applications needed by engineers, physicists, scientists and mathematicians.

"Presents a summary of selected mathematics topics from college/university level mathematics courses. Fundamental principles are reviewed and presented by way of examples, figures, tables and diagrams. It condenses and presents under one cover basic concepts from several different applied mathematics topics"--P. [4] of cover.

Mathematical Methods for Partial Differential Equations is an introduction in the use of various mathematical methods needed for solving linear partial differential equations. The material is suitable for a two semester course in partial differential equations for mathematicians, engineers, physicists, chemistry and science majors and is suitable for upper level college undergraduates or beginning graduate students.

Chapter one reviews necessary background material from the subject area of ordinary differential equations and then develops solution techniques for some easy to solve partial differential equations. Chapter two introduces orthogonal functions and Sturm-Liouville systems. Chapter three utilizes orthogonal functions to develop Fourier series and Fourier integrals. The fourth, fifth and sixth chapters consider various applied engineering applications of partial differential equations. Selected applied topics are developed together with necessary solution methods associated with parabolic, hyperbolic and elliptic type partial differential equations. Chapter seven introduces transform methods for solving linear partial differential equations. Numerous examples associated with the Laplace, Fourier exponential, Fourier sine, Fourier cosine and selected finite Sturm-Liouville transforms are given. Chapter eight introduces Green's functions for ordinary differential equations and chapter nine finishes with applications of Green function techniques for solving linear partial differential equations.

There are four Appendices. The Appendix A contains units of measurements from the Syst&egraveme International d'Unit&egraves along with some selected physical constants. The Appendix B contains solutions to selected exercises. The Appendix C lists mathematicians whose research has contributed to the area of partial differential equations. The Appendix D contains a short listing of integrals. The text has numerous illustrative worked examples and over 340 exercises.

Introduction to the Variational Calculus is an introduction to the various mathematical methods needed for determining maximum and/or minimum values associated with functions and functionals. The material presented is suitable for a one semester course in the subject area called calculus of variations. It is written for mathematicians, engineers, physicists, chemistry and science majors and is suitable for upper level college undergraduates or beginning graduate students. It can be used as a reference book for various calculus of variation topics.
Chapter one reviews necessary background material from the subject area of calculus and advanced calculus. Chapter two reviews maximum and minimum values associated with functions and functions subject to constraint conditions. Chapter three introduces techniques for finding extreme values associated with functionals. The Euler-Lagrange equations are developed for a variety of functionals.The fourth chapter develops some of the more detailed concepts associated with the subject area of calculus of variations. The fifth and sixth chapters consider various applied engineering applications of the calculus of variations. Selected applied topics are developed together with necessary solution methods.
There are three Appendices. The Appendix A contains units of measurements from the Systeme International Unites along with some selected physical constants. The Appendix B contains gives the representation of the gradient, divergence and curl in Cartesian, cylindrical and spherical coordinates. The Appendix C contains solutions to selected exercises. The book is 356 pages with numerous exercises and applications presented at the end of eachchapter.
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Introduction to Tensor Calculus and Continuum Mechanics is an advanced College level mathematics text. The first part of the text introduces basic concepts, notations and operations associated with the subject area of tensor calculus. The material presented is developed at a slow pace with a detailed explanation of the many tensor operations. The first half of the text concludes with an introduction to the application of tensor concepts to differential geometry and relativity. The second half of the text presents applications of tensors to areas from continuum mechanics. Tensor calculus is applied to the areas of dynamics, elasticity, fluids, electricity and magnetism. Many of the basic equations from physics, engineering and science are developed which makes the text an excellent reference work. The second half of the text concludes with an introduction to quaternions, multivectors and Clifford algebra.
There are four Appendices. The Appendix A contains units of measurements from the Systeme International d'Unites along with some selected physical con stants. The Appendix B contains a listing of Christoffel symbols of the second kind associated with various coordinate systems. The Appendix C is a summary of use ful vector identities. The Appendix D contains solutions to selected exercises. The text has numerous illustrative worked examples and over 450 exercises.