Applied Calculus For Scientists And Engineers Is An Invitation To An Intellectual Journey Into A Discipline That Has Profoundly Influenced The Development Of Western Civilization For More Than Three Hundred Years. The Author Takes A Functional Pedagogical Approach Through The Use Of A Dialogue-Based Writing Style That Is Uniquely Suited To Make Transparent The Essential Problem-Solving Strategies. As The Text Follows Simplicio And Sophie In Their Struggle To Understand The Teacher's Explanations, Students Will Find That Many Of Their Own Difficulties Are Adequately Addressed And Elegantly Resolved. The Text Is Centered On The Idea That Good Teaching Must Bring Knowledge To Life. True To This Premise, The Author Has Taken Great Care To Present All Mathematical Subjects Within The Context Of Stimulating Applications That Cover A Wide Range Of Topics In Science And Engineering. Also Included Are Engaging Discussions Of The Historical And Philosophical Background That Gave The Discipline Of Calculus Its Present Shape. Indeed, It Is The Central Focus On Applications Combined With A Commitment To Very High Standards Of Expository Writing That Sets This Book Apart From The Competition.

This manual contains solutions to all the exercises in volumes 1 and 2 (except for the problems in the project-Chapter 70). For many exercises only the answers are listed, while for many others the answers are briefly or fully explained.

Prepare students for success in using applied mathematics for engineering practice and post-graduate studies Moves from one mathematical method to the next sustaining reader interest and easing the application of the techniques Uses different examples from chemical, civil, mechanical and various other engineering fields Based on a decade’s worth of the authors lecture notes detailing the topic of applied mathematics for scientists and engineers Concisely writing with numerous examples provided including historical perspectives as well as a solutions manual for academic adopters

This book presents the basic concepts of calculus and its relevance to real-world problems, covering the standard topics in their conventional order. By focusing on applications, it allows readers to view mathematics in a practical and relevant setting. Organized into 12 chapters, this book includes numerous interesting, relevant and up-to date applications that are drawn from the fields of business, economics, social and behavioural sciences, life sciences, physical sciences, and other fields of general interest. It also features MATLAB, which is used to solve a number of problems. The book is ideal as a first course in calculus for mathematics and engineering students. It is also useful for students of other sciences who are interested in learning calculus.

This engineering mathematics textbook is rich with examples, applications and exercises, and emphasises applying matrices.

This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.

This book gives a practical overview of Fractional Calculus as it relates to Signal Processing

This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering