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.

Most of our everyday life experiences are multisensory in nature; that is, they consist of what we see, hear, feel, taste, smell, and much more. Almost any experience you can think of, such as eating a meal or going to the cinema, involves a magnificent sensory world. In recent years, many of these experiences have been increasingly transformed and capitalised on through advancements that adapt the world around us - through technology, products, and services - to suit our ever more computerised environment. Multisensory Experiences: Where the senses meet technology looks at this trend and offers a comprehensive introduction to the dynamic world of multisensory experiences and design. It takes the reader from the fundamentals of multisensory experiences, through the relationship between the senses and technology, to finally what the future of those experiences may look like, and our responsibility in it. This book empowers you to shape your own and other people's experiences by considering the multisensory worlds that we live in through a journey that marries science and practice. It also shows how we can take advantage of the senses and how they shape our experiences through intelligent technological design.

Jesuit engagement with natural philosophy during the late 16th and early 17th centuries transformed the status of the mathematical disciplines and propelled members of the Order into key areas of controversy in relation to Aristotelianism. Through close investigation of the activities of the Jesuit 'school' of mathematics founded by Christoph Clavius, The Scientific Counter-Revolution examines the Jesuit connections to the rise of experimental natural philosophy and the emergence of the early scientific societies. Arguing for a re-evaluation of the role of Jesuits in shaping early modern science, this book traces the evolution of the Collegio Romano as a hub of knowledge. Starting with an examination of Clavius's Counter-Reformation agenda for mathematics, Michael John Gorman traces the development of a collective Jesuit approach to experimentation and observation under Christopher Grienberger and analyses the Jesuit role in the Galileo Affair and the vacuum debate. Ending with a discussion of the transformation of the Collegio Romano under Athanasius Kircher into a place of curiosity and wonder and the centre of a global information gathering network, this book reveals how the Counter-Reformation goals of the Jesuits contributed to the shaping of modern experimental science.

From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and topological structure, which makes Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces. The common thread of this book is the Fourier transform, which is examined starting from the discrete Fourier transform (DFT), along with its applications in signal and image processing, passing through the Fourier series and finishing with the use of the Fourier transform to solve differential equations. The geometric structure of Hilbert spaces and the most significant properties of bounded linear operators in these spaces are also covered extensively. The theorems are presented with detailed proofs as well as meticulously explained exercises and solutions, with the aim of illustrating the variety of applications of the theoretical results.