Author: Bernhard W. Bach, Jr. Publisher: Cambridge University Press ISBN: 1107059828 Category : Mathematics Languages : en Pages : 201
Book Description
An informal and practically focused introduction for undergraduate students exploring infinite series and sequences in engineering and the physical sciences. With a focus on practical applications in real world situations, it helps students to conceptualize the theory with real-world examples and to build their skill set.
Author: Ludmila Bourchtein Publisher: Springer Nature ISBN: 3030794318 Category : Mathematics Languages : en Pages : 388
Book Description
This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning – the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. The text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in infinite sequences and series. It is designed for the reader who has a good working knowledge of calculus. No additional prior knowledge is required. The text is divided into five chapters, which can be grouped into two parts: the first two chapters are concerned with the sequences and series of numbers, while the remaining three chapters are devoted to the sequences and series of functions, including the power series. Within each major topic, the exposition is inductive and starts with rather simple definitions and/or examples, becoming more compressed and sophisticated as the course progresses. Each key notion and result is illustrated with examples explained in detail. Some more complicated topics and results are marked as complements and can be omitted on a first reading. The text includes a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and test the understanding of key concepts. Other problems are more theoretically oriented and illustrate more intricate points of the theory, or provide counterexamples to false propositions which seem to be natural at first glance. Solutions to additional problems proposed at the end of each chapter are provided as an electronic supplement to this book.
Author: Bernhard W. Bach, Jr. Publisher: Cambridge University Press ISBN: 1108645739 Category : Science Languages : en Pages : 201
Book Description
Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate students explores the numerous uses of infinite series and sequences in engineering and the physical sciences. The material has been carefully selected to help the reader develop the techniques needed to confidently utilize infinite series. The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and Fourier-Bessel series. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real world examples and to build their skill set in this area.
Author: Konrad Knopp Publisher: Courier Corporation ISBN: 0486152049 Category : Mathematics Languages : en Pages : 212
Book Description
Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables, arbitrary and null sequences, convergence and divergence, Cauchy's limit theorem, more.
Author: David Rush Publisher: SIU Press ISBN: 9780809326099 Category : Drama Languages : en Pages : 324
Book Description
With the skills of a playwright, the vision of a producer, and the wisdom of an experienced teacher, David Rush offers a fresh and innovative guide to interpreting drama in A Student Guide to Play Analysis, the first undergraduate teaching tool to address postmodern drama in addition to classic and modern. Covering a wide gamut of texts and genres, this far-reaching and user-friendly volume is easily paired with most anthologies of plays and is accessible even to those without a literary background. Contending that there are no right or wrong answers in play analysis, Rush emphasizes the importance of students developing insights of their own. The process is twofold: understand the critical terms that are used to define various parts and then apply these to a particular play. Rush clarifies the concepts of plot, character, and language, advancing Aristotle's concept of the Four Causes as a method for approaching a play through various critical windows. He describes the essential difference between a story and a play, outlines four ways of looking at plays, and then takes up the typical structural devices of a well-made play, four primary genres and their hybrids, and numerous styles, from expressionism to postmodernism. For each subject, he defines critical norms and analyzes plays common to the canon. A Student Guide to Play Analysis draws on thoughtful examinations of such dramas as The Cherry Orchard, The Good Woman of Setzuan, Fences, The Little Foxes, A Doll House, The Glass Menagerie, and The Emperor Jones. Each chapter ends with a list of questions that will guide students in further study.
Author: Ian H. Hutchinson Publisher: Cambridge University Press ISBN: 1107095670 Category : Computers Languages : en Pages : 223
Book Description
The plain language style, worked examples and exercises in this book help students to understand the foundations of computational physics and engineering.
Author: Don S. Lemons Publisher: Cambridge University Press ISBN: 1107470048 Category : Science Languages : en Pages : 195
Book Description
Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy from desired properties, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and important applications are highlighted in over 20 worked examples. Around 50 end-of-chapter exercises test readers' understanding. The book also features a glossary giving definitions for all essential terms, a time line showing important developments, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.
Author: J. F. James Publisher: Cambridge University Press ISBN: 1139493949 Category : Science Languages : en Pages : 161
Book Description
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering and applied mathematics. Providing a concise introduction to the theory and practice of Fourier transforms, this book is invaluable to students of physics, electrical and electronic engineering, and computer science. After a brief description of the basic ideas and theorems, the power of the technique is illustrated through applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of Computer Axial Tomography (CAT scanning). The book concludes by discussing digital methods, with particular attention to the Fast Fourier Transform and its implementation. This new edition has been revised to include new and interesting material, such as convolution with a sinusoid, coherence, the Michelson stellar interferometer and the van Cittert–Zernike theorem, Babinet's principle and dipole arrays.
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Author: Bernhard W. Bach, Jr.
Author: Ludmila Bourchtein
Author: Bernhard W. Bach, Jr.
Author: Konrad Knopp
Author: Konrad Knopp
Author: David Rush
Author: Bach, Jr. (Bernhard W.)
Author: Ian H. Hutchinson
Author: Don S. Lemons
Author: J. F. James