Merle C. Potter

Thermodynamics involves storage, transfer, and transformation of energy, and is the first course in thermal sciences for engineering students.

This textbook can be used for the first required course in fluid mechanics. It can be used in any curriculum: mechanical, civil, chemical, aerospace, or a general required course for all engineers. The course can be taught using the more conventional elemental approach for pipe flow, channel flow, and flow between cylinders. This textbook adopts a judicious approach, minimizing mathematical intricacies to ensure that the book is accessible for all students. The text has been designed to allow students to better understand the fundamentals, aided by numerous examples and home problems. Students often find it quite difficult to understand many concepts encountered in fluid mechanics, such as laminar flow, the entrance region, the separated region, and turbulence. The book ensures that these concepts are presented correctly and in an easy-to-understand format. To mention a few, the turbulent entrance region is only for large Reynolds numbers although not many texts mention this, the separated region and the wake are often confused, and laminar flow and turbulent flow definitions usually lack clarity. This book elucidates derivations and phenomena in a manner that renders them comparably more comprehensible than those presented in other textbooks. This book uses a student-friendly format to ensure easy understanding.

Thermal Sciences may be used in some curricula with two required courses, and in others with only one thermal science course. This text is written so it can be used in either the two-semester sequence of Thermodynamics and Fluid Mechanics or in the course that also introduces Heat Transfer. Thermodynamics and Fluid Mechanics texts have increased in length over the years so that now they each may contain 1000 pages. Much of that material is never used in the classroom and much of it tends to confuse the students with material that is not significant to the subject at hand. We have attempted to elimi­nate much of that material, especially the material that is most often reserved for an advanced course.The Thermodynamics Part includes more material than can be covered in a one-semester course; this allows for selected mate­rial on power and refrigeration cy­cles, psychrometrics, and combustion. The Fluid Mechanics Part also contains more material than can be covered in aone-semester course allowing potential flows, boundary layers, or compressible flow to be included. The heat transfer material that is included in various chapters can be in­serted, if desired, as it is encountered in the text. A one-semester service course for non-mechanical engineers may be organized with selected sections from both the Thermodynamics Part and the Fluid Mechanics Part. Thermodynamics is presented in chapters 1 through 9, fluid mechanics in Chapters 10 through 17, and the introductory material of heat transfer is included in Sections 3.6, 4.11, and 16.6.6. All the material is presented so that students can follow the derivations with relative ease; reference is made to figures and previous equations using an easy-to-follow style of presentation. Numerous examples then illustrate all the basic principles of the text. Problems at the end of each chapter then allow for application of those principles to numerous situations encountered in real life. The problems at the end of each chapter begin with a set of multiple-choice-type questions that are typical of the questions encountered on the Fundamentals of Engineering Exam (the exam usually taken at the end of the senior year to begin the process of licensure) and the Graduate Record Exam/Engineering. Those questions are fol­lowed with problems, often grouped according to topics and ordered by level of difficulty, which illustrate the principles presented in the text material. Answers to selected problems are included at the end of the text.

This textbook can be used for the second required course in fluid mechanics. It can be used for the mechanical engineering or civil engineering programs. This book reviews the more conventional elemental approach for pipe flow, channel flow, and flow between cylinders. It discusses the derivation and application of the Navier-Stokes equations to several flow situations. The content presented in this book is especially designed for civil engineering students, with detailed text on open channel flow, piping systems, turbomachinery, and for mechanical engineering students, with detailed text on the potential flow, external flows including boundary-layer theory and compressible flow. The text is designed to allow students to better understand each topic, aided by numerous examples and home problems. Students often find it quite difficult to understand many concepts encountered in fluid mechanics, such as laminar flow, the entrance region, the separated region, and turbulence. The book ensures that these concepts are presented correctly and in an easy-to-understand format. This book also presents all derivations and phenomena in such a way that they are more easily understood when compared with the presentations of other textbooks.

This book introduces undergraduate students of engineering and science to applied mathematics essential to the study of many problems. Topics are differential equations, power series, Laplace transforms, matrices and determinants, vector analysis, partial differential equations, complex variables, and numerical methods. Approximately, 160 examples and 1000 homework problems aid students in their study. This book presents mathematical topics using derivations rather than theorems and proofs. This textbook is uniquely qualified to apply mathematics to physical applications (spring-mass systems, electrical circuits, conduction, diffusion, etc.), in a manner that is efficient and understandable. This book is written to support a mathematics course after differential equations, to permit several topics to be covered in one semester, and to make the material comprehensible to undergraduates. An Instructor Solutions Manual, and also a Student Solutions Manual that provides solutions to select problems, is available.^

This book introduces undergraduate students of engineering and science to applied mathematics essential to the study of many problems. Topics are differential equations, power series, Laplace transforms, matrices and determinants, vector analysis, partial differential equations, complex variables, and numerical methods. Approximately, 160 examples and 1000 homework problems aid students in their study. This book presents mathematical topics using derivations rather than theorems and proofs. This textbook is uniquely qualified to apply mathematics to physical applications (spring-mass systems, electrical circuits, conduction, diffusion, etc.), in a manner that is efficient and understandable. This book is written to support a mathematics course after differential equations, to permit several topics to be covered in one semester, and to make the material comprehensible to undergraduates. An Instructor Solutions Manual, and also a Student Solutions Manual that provides solutions to select problems, is available.^

This book is designed to serve as a core text for courses in advanced engineering mathematics required by many engineering departments. The style of presentation is such that the student, with a minimum of assistance, can follow the step-by-step derivations. Liberal use of examples and homework prob­lems aid the student in the study of the topics presented. Ordinary differential equations, including a number of physical applica­tions, are reviewed in Chapter One. The use of series methods are presented in Chapter Two, Subsequent chapters present Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex vari­ables, and wavelets. The material is presented so that four or five subjects can be covered in a single course, depending on the topics chosen and the completeness of coverage.Incorporated in this textbook is the use of certain computer software packages. Short tutorials on Maple, demonstrating how problems in engineering mathematics can be solved with a computer algebra system, are included in most sections of the text. Problems have been identified at the end of sections to be solved specifically with Maple, and there are computer laboratory activities, which are more difficult problems designed for Maple. In addition, MATLAB and Excel have been included in the solution of problems in several of the chapters.There is a solutions manual available for those who select the text for their course. This text can be used in two semesters of engineering mathematics. The many helpful features make the text relatively easy to use in the classroom.

This book is designed to serve as a core text for courses in advanced engineering mathematics required by many engineering departments. The style of presentation is such that the student, with a minimum of assistance, can follow the step-by-step derivations. Liberal use of examples and homework prob­lems aid the student in the study of the topics presented. Ordinary differential equations, including a number of physical applica­tions, are reviewed in Chapter One. The use of series methods are presented in Chapter Two, Subsequent chapters present Laplace transforms, matrix theory and applications, vector analysis, Fourier series and transforms, partial differential equations, numerical methods using finite differences, complex vari­ables, and wavelets. The material is presented so that four or five subjects can be covered in a single course, depending on the topics chosen and the completeness of coverage.Incorporated in this textbook is the use of certain computer software packages. Short tutorials on Maple, demonstrating how problems in engineering mathematics can be solved with a computer algebra system, are included in most sections of the text. Problems have been identified at the end of sections to be solved specifically with Maple, and there are computer laboratory activities, which are more difficult problems designed for Maple. In addition, MATLAB and Excel have been included in the solution of problems in several of the chapters.There is a solutions manual available for those who select the text for their course. This text can be used in two semesters of engineering mathematics. The many helpful features make the text relatively easy to use in the classroom.

The purpose of this book is to introduce undergraduate students of engineering and the physical sciences to applied mathematics often essential to the successful solutions of practical problems. The topics selected are a review of Differential Equations, Laplace Transforms, Matrices and Determinants, Vector Analysis, Partial Differential Equations, Complex Variables, and Numerical Methods. The style of presentation is such that the step-by-step derivations may be followed by the reader with minimum assistance. Liberal use of approximately 160 examples and 1000 homework problems serves to aid students in their study. This book presents mathematical topics using derivations (similar to the technique used in engineering textbooks) rather than theorems and proofs typically found in textbooks written by mathematicians. Engineering Analysis is uniquely qualified to help apply mathematics to physical applications (spring-mass systems, electrical circuits, conduction, diffusion, etc.), in a manner as efficient and understandable as possible. This book was written to provide for an additional mathematics course after differential equations, to permit several topics to be introduced in one semester, and to make the material comprehensible to undergraduates.The book comes with an Instructor Solutions Manual, available on request, that provides solutions to all problems and also a Student Solutions Manual that provides solutions to select problems (the answers to which are given at the back of the book).

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations. Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly. The book offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an example-first style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications.