Introduction to Integral Calculus

Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications. The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learn how to understand a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Differential Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.

A stand-alone introduction to specific integration problems in the probabilistic theory of stochastic calculus Picking up where his previous book, A Modern Theory of Random Variation , left off, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics introduces readers to particular problems of integration in the probability-like theory of quantum mechanics. Written as a motivational explanation of the key points of the underlying mathematical theory, and including ample illustrations of the calculus, this book relies heavily on the mathematical theory set out in the author’s previous work. That said, this work stands alone and does not require a reading of A Modern Theory of Random Variation in order to be understandable. Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics takes a gradual, relaxed, and discursive approach to the subject in a successful attempt to engage the reader by exploring a narrower range of themes and problems. Organized around examples with accompanying introductions and explanations, the book covers topics such as: Stochastic calculus, including discussions of random variation, integration and probability, and stochastic processes. Field theory, including discussions of gauges for product spaces and quantum electrodynamics. Robust and thorough appendices, examples, illustrations, and introductions for each of the concepts discussed within. An introduction to basic gauge integral theory. The methods employed in this book show, for instance, that it is no longer necessary to resort to unreliable «Black Box» theory in financial calculus; that full mathematical rigor can now be combined with clarity and simplicity. Perfect for students and academics with even a passing interest in the application of the gauge integral technique pioneered by R. Henstock and J. Kurzweil, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics is an illuminating and insightful exploration of the complex mathematical topics contained within.

This book provides an invaluable introduction to his historical and conceptual engagement with sociology.

Paras Prasad’s text provides a basic knowledge of a broad range of topics so that individuals in all disciplines can rapidly acquire the minimal necessary background for research and development in biophotonics. Introduction to Biophotonics serves as both a textbook for education and training as well as a reference book that aids research and development of those areas integrating light, photonics, and biological systems. Each chapter contains a topic introduction, a review of key data, and description of future directions for technical innovation. Introduction to Biophotonics covers the basic principles of Optics Optical spectroscopy Microscopy Each section also includes illustrated examples and review questions to test and advance the reader’s knowledge. Sections on biosensors and chemosensors, important tools for combating biological and chemical terrorism, will be of particular interest to professionals in toxicology and other environmental disciplines. Introduction to Biophotonics proves a valuable reference for graduate students and researchers in engineering, chemistry, and the life sciences.

INTRODUCTION TO DESALINATION

Explore the principles, methods, and applications of modern desalination processes

Introduction to Desalination: Principles, Processes, and Calculations delivers a comprehensive and robust exploration of desalination highlighted with numerous illustrative examples and calculations.

The book is divided into three sections, the first of which offers an introduction to the topic that includes chapters covering global water scarcity and the need for “new water.” The second section discusses the desalination process, including evaporation, reverse osmosis, crystallization, hybrid systems, and other potable water processes. The final part covers topics that include water conservation, environmental considerations of desalination, economic impacts of desalination, optimization, ethics, and the future of desalination.

The book also includes:

• A comprehensive introduction to desalination, including discussions of engineering principles, the physical, chemical, and biological properties of water, and water chemistry
• An extensive engineering analysis of the various desalination processes
• Practical discussions of miscellaneous desalination topics, including the environmental and economic effects of the technology

Perfect for process, chemical, mechanical, environmental, and civil engineers, Introduction to Desalination: Principles, Processes, and Calculations is also a valuable resource for materials scientists, operators, and technicians working in the field.

Introduction to Pragmatics guides students through traditional and new approaches in the field, focusing particularly on phenomena at the elusive semantics/pragmatics boundary to explore the role of context in linguistic communication. Offers students an accessible introduction and an up-to-date survey of the field, encompassing both established and new approaches to pragmatics Addresses the traditional range of topics – such as implicature, reference, presupposition, and speech acts – as well as newer areas of research, including neo-Gricean theories, Relevance Theory, information structure, inference, and dynamic approaches to meaning Explores the relationship and boundaries between semantics and pragmatics Ideal for students coming to pragmatics for the first time

The revised text to the analysis, control, and applications of robotics The revised and updated third edition of Introduction to Robotics: Analysis, Control, Applications , offers a guide to the fundamentals of robotics, robot components and subsystems and applications. The author—a noted expert on the topic—covers the mechanics and kinematics of serial and parallel robots, both with the Denavit-Hartenberg approach as well as screw-based mechanics. In addition, the text contains information on microprocessor applications, control systems, vision systems, sensors, and actuators. Introduction to Robotics gives engineering students and practicing engineers the information needed to design a robot, to integrate a robot in appropriate applications, or to analyze a robot. The updated third edition contains many new subjects and the content has been streamlined throughout the text. The new edition includes two completely new chapters on screw-based mechanics and parallel robots. The book is filled with many new illustrative examples and includes homework problems designed to enhance learning. This important text: Offers a revised and updated guide to the fundamental of robotics Contains information on robot components, robot characteristics, robot languages, and robotic applications Covers the kinematics of serial robots with Denavit-Hartenberg methodology and screw-based mechanics Includes the fundamentals of control engineering, including analysis and design tools Discusses kinematics of parallel robots Written for students of engineering as well as practicing engineers , Introduction to Robotics, Third Edition reviews the basics of robotics, robot components and subsystems, applications, and has been revised to include the most recent developments in the field.

An accessible introduction to real analysis and its connection to elementary calculus Bridging the gap between the development and history of real analysis, Introduction to Real Analysis: An Educational Approach presents a comprehensive introduction to real analysis while also offering a survey of the field. With its balance of historical background, key calculus methods, and hands-on applications, this book provides readers with a solid foundation and fundamental understanding of real analysis. The book begins with an outline of basic calculus, including a close examination of problems illustrating links and potential difficulties. Next, a fluid introduction to real analysis is presented, guiding readers through the basic topology of real numbers, limits, integration, and a series of functions in natural progression. The book moves on to analysis with more rigorous investigations, and the topology of the line is presented along with a discussion of limits and continuity that includes unusual examples in order to direct readers' thinking beyond intuitive reasoning and on to more complex understanding. The dichotomy of pointwise and uniform convergence is then addressed and is followed by differentiation and integration. Riemann-Stieltjes integrals and the Lebesgue measure are also introduced to broaden the presented perspective. The book concludes with a collection of advanced topics that are connected to elementary calculus, such as modeling with logistic functions, numerical quadrature, Fourier series, and special functions. Detailed appendices outline key definitions and theorems in elementary calculus and also present additional proofs, projects, and sets in real analysis. Each chapter references historical sources on real analysis while also providing proof-oriented exercises and examples that facilitate the development of computational skills. In addition, an extensive bibliography provides additional resources on the topic. Introduction to Real Analysis: An Educational Approach is an ideal book for upper- undergraduate and graduate-level real analysis courses in the areas of mathematics and education. It is also a valuable reference for educators in the field of applied mathematics.

Microfabrication is the key technology behind integrated circuits, microsensors, photonic crystals, ink jet printers, solar cells and flat panel displays. Microsystems can be complex, but the basic microstructures and processes of microfabrication are fairly simple. Introduction to Microfabrication shows how the common microfabrication concepts can be applied over and over again to create devices with a wide variety of structures and functions. Featuring: * A comprehensive presentation of basic fabrication processes * An emphasis on materials and microstructures, rather than device physics * In-depth discussion on process integration showing how processes, materials and devices interact * A wealth of examples of both conceptual and real devices Introduction to Microfabrication includes 250 homework problems for students to familiarise themselves with micro-scale materials, dimensions, measurements, costs and scaling trends. Both research and manufacturing topics are covered, with an emphasis on silicon, which is the workhorse of microfabrication. This book will serve as an excellent first text for electrical engineers, chemists, physicists and materials scientists who wish to learn about microstructures and microfabrication techniques, whether in MEMS, microelectronics or emerging applications.

A fully updated version of the popular Introduction to Tribology, the second edition of this leading tribology text introduces the major developments in the understanding and interpretation of friction, wear and lubrication. Considerations of friction and wear have been fully revised to include recent analysis and data work, and friction mechanisms have been reappraised in light of current developments. In this edition, the breakthroughs in tribology at the nano- and micro- level as well as recent developments in nanotechnology and magnetic storage technologies are introduced. A new chapter on the emerging field of green tribology and biomimetics is included. Introduces the topic of tribology from a mechanical engineering, mechanics and materials science points of view Newly updated chapter covers both the underlying theory and the current applications of tribology to industry Updated write-up on nanotribology and nanotechnology and introduction of a new chapter on green tribology and biomimetics