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The authors' aim is to offer the reader the fundamentals of numerous mathematical methods with accompanying practical environmental applications. The material in this book addresses mathematical calculations common to both the environmental science and engineering professionals. It provides the reader with nearly 100 solved illustrative examples and the interrelationship between both theory and applications is emphasized in nearly all of the 35 chapters. One key feature of this book is that the solutions to the problems are presented in a stand-alone manner. Throughout the book, the illustrative examples are laid out in such a way as to develop the reader's technical understanding of the subject in question, with more difficult examples located at or near the end of each set. In presenting the text material, the authors have stressed the pragmatic approach in the application of mathematical tools to assist the reader in grasping the role of mathematical skills in environmental problem-solving situations. The book is divided up into 5 parts: Introduction; Analytical Analysis; Numerical Analysis; Statistical Analysis; and Optimization. The analytical analysis includes graphical, trial-and-error, search, etc. methods. The numerical analysis includes integration, differentiation, differential equation, Monte Carlo, etc. The statistical analysis includes probability, probability distribution, decision trees, regression analysis, etc. Optimization includes both traditional approaches and linear programming.
The material in this book attempts to address mathematical calculations common to both the environmental science and engineering professionals. The book provides the reader with nearly 100 solved illustrative examples. The interrelationship between both theory and applications is emphasized in nearly all of the 35 chapters. One key feature of this book is that the solutions to the problems are presented in a stand-alone manner. Throughout the book, the illustrative examples are laid out in such a way as to develop the reader’s technical understanding of the subject in question, with more difficult examples located at or near the end of each set. In presenting the text material, the authors have stressed the pragmatic approach in the application of mathematical tools to assist the reader in grasping the role of mathematical skills in environmental problem-solving situations. The book is divided up into five (V) parts: Introduction Analytical Analysis Numerical Analysis Statistical Analysis Optimization
Modern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. There is also an 'Application' section at the end of each chapter, with topics drawn from a variety of areas, including neural networks, fluid dynamics, and the behavior of 'put' and 'call' options in financial markets. The book presents several modern important and computationally efficient topics, including feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods.A unique and novel feature of the book is the introduction of a recently developed method for solving partial differential equations (PDEs), called the unified transform. PDEs are the mathematical cornerstone for describing an astonishingly wide range of phenomena, from quantum mechanics to ocean waves, to the diffusion of heat in matter and the behavior of financial markets. Despite the efforts of many famous mathematicians, physicists and engineers, the solution of partial differential equations remains a challenge.The unified transform greatly facilitates this task. For example, two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem for this equation, the unified transform derives in a simple manner a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a new solution to this ubiquitous PDE, with important analytical and numerical advantages in comparison to the classical solutions. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and of complex variables and the Fourier transform, illustrating the method with numerous examples.Broad in scope, but pedagogical in style and content, the book is an introduction to powerful mathematical concepts and modern tools for students in science and engineering.
Appropriate for advanced undergraduate and graduate students in a variety of scientific and engineering fields, this text introduces linear and nonlinear problems and their associated models. The first part covers linear systems, emphasizing perturbation or approximation techniques and asymptotic methods. The second part comprises nonlinear problems, including weakly nonlinear oscillatory systems and nonlinear difference equations. The two parts, both of which include exercises, merge smoothly, and many of the nonlinear techniques arise from the study of the linear systems. 1990 edition. 70 figures. 4 tables. Appendix. Index.
Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous examples, completely worked out, together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to make students comfortable in using advanced mathematical tools in junior, senior, and beginning graduate courses.
Mathematical Methods in Science and Engineering: Applications in Optics and Photonics helps students build a conceptual appreciation for critical mathematical methods, as well as the physical feel and intuition for select mathematical ideas. Throughout the text, examples are provided from the field of optics and photonics to clarify key concepts. The book features 13 targeted chapters that begin with a brief introduction to the topical area and then dive direc
"The authors—a chemical engineer and a civil engineer—have complimented each other in delivering an introductory text on optimization for engineers of all disciplines. It covers a host of topics not normally addressed by other texts. Although introductory in nature, it is a book that will prove invaluable to me and my staff, and belongs on the shelves of practicing environmental and chemical engineers. The illustrative examples are outstanding and make this a unique and special book." —John D. McKenna, Ph.D., Principal, ETS, Inc., Roanoke, Virginia "The authors have adeptly argued that basic science courses—particularly those concerned with mathematics—should be taught to engineers by engineers. Also, books adopted for use in such courses should also be written by engineers. The readers of this book will acquire an understanding and appreciation of the numerous mathematical methods that are routinely employed by practicing engineers. Furthermore, this introductory text on optimization attempts to address a void that exists in college engineering curricula. I recommend this book without reservation; it is a library ‘must’ for engineers of all disciplines." —Kenneth J. Skipka, RTP Environmental Associates, Inc., Westbury, NY, USA Introduction to Optimization for Chemical and Environmental Engineers presents the introductory fundamentals of several optimization methods with accompanying practical engineering applications. It examines mathematical optimization calculations common to both environmental and chemical engineering professionals, with a primary focus on perturbation techniques, search methods, graphical analysis, analytical methods, linear programming, and more. The book presents numerous illustrative examples laid out in such a way as to develop the reader’s technical understanding of optimization, with progressively difficult examples located at the end of each chapter. This book serves as a training tool for students and industry professionals alike. FEATURES Examines optimization concepts and methods used by environmental and chemical engineering practitioners. Presents solutions to real-world scenarios/problems at the end of each chapter. Offers a pragmatic approach to the application of mathematical tools to assist the reader in grasping the role of optimization in engineering problem-solving situations. Provides numerous illustrative examples. Serves as a text for introductory courses, or as a training tool forindustry professionals.
The growth of the environmental sciences has greatly expanded thescope of biological disciplines today's engineers have to dealwith. Yet, despite its fundamental importance, the full breadth ofbiology has been given short shrift in most environmentalengineering and science courses. Filling this gap in the professional literature, EnvironmentalBiology for Engineers and Scientists introduces students ofchemistry, physics, geology, and environmental engineering to abroad range of biological concepts they may not otherwise beexposed to in their training. Based on a graduate-level coursedesigned to teach engineers to be literate in biological conceptsand terminology, the text covers a wide range of biology withoutmaking it tedious for non-biology majors. Teaching aids include: * Notes, problems, and solutions * Problem sets at the end of each chapter * PowerPoints(r) of many figures A valuable addition to any civil engineering and environmentalstudies curriculum, this book also serves as an importantprofessional reference for practicing environmental professionalswho need to understand the biological impacts of pollution.
Intended for college-level physics, engineering, or mathematics students, this volume offers an algebraically based approach to various topics in applied math. It is accessible to undergraduates with a good course in calculus which includes infinite series and uniform convergence. Exercises follow each chapter to test the student's grasp of the material; however, the author has also included exercises that extend the results to new situations and lay the groundwork for new concepts to be introduced later. A list of references for further reading will be found at the end of each chapter. For this second revised edition, Professor Dettman included a new section on generalized functions to help explain the use of the Dirac delta function in connection with Green's functions. In addition, a new approach to series solutions of ordinary differential equations has made the treatment independent of complex variable theory. This means that the first six chapters can be grasped without prior knowledge of complex variables. However, since Chapter 8 depends heavily on analytic functions of a complex variable, a new Chapter 7 on analytic function theory has been written.
A Guide to Virology for Engineers and Applied Scientists A hands-on guide covering the fundamentals of virology written from an engineering perspective In A Guide to Virology for Engineers and Applied Scientists: Epidemiology, Emergency Management, and Optimization, a team of distinguished researchers delivers a robust and accessible treatment of virology from an engineering perspective. The book synthesizes a great deal of general information on viruses—including coronaviruses—in a single volume. It provides critical context that engineers and applied scientists can use to evaluate and manage viruses encountered in the environment. The fundamental principles of virology are explored with calculation details for health and hazard risk assessments. Each chapter combines numerous illustrative examples and sample problems ideal for advanced courses in environmental health and safety, pharmaceuticals, and environmental science and engineering. Readers will also find: A detailed introduction to health and hazard risk analysis and assessment that is complete with technical information and calculation details Comprehensive illustrative examples and practice problems for use by educators and professionals in training Practical discussions of virology by authors with combined experience in pharmaceuticals and environmental health and safety Thorough treatments of virology from the perspective of a professional engineer A definitive source for those working in related fields who wish to deepen their overall understanding of viruses Perfect for chemical, civil, mechanical, biochemical engineers, and applied scientists, A Guide to Virology for Engineers and Applied Scientists: Epidemiology, Emergency Management, and Optimization will also earn a place in the libraries of industrial hygiene professionals and instructors, students, and practitioners in environmental health, pharmaceuticals, public health, and epidemiology.