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Author : Bach, Jr. (Bernhard W.)
Publisher :
ISBN 13 : 9781107446588
Total Pages : 202 pages
Book Rating : 4.4/5 (465 download)
Download or read book A Student's Guide to Infinite Series and Sequences written by Bach, Jr. (Bernhard W.) and published by . This book was released on 2018 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernhard W. Bach, Jr.
Publisher : Cambridge University Press
ISBN 13 : 1107059828
Total Pages : 201 pages
Book Rating : 4.1/5 (7 download)
Download or read book A Student's Guide to Infinite Series and Sequences written by Bernhard W. Bach, Jr. and published by Cambridge University Press. This book was released on 2018-05-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 3030794318
Total Pages : 388 pages
Book Rating : 4.0/5 (37 download)
Download or read book Theory of Infinite Sequences and Series written by Ludmila Bourchtein and published by Springer Nature. This book was released on 2021-11-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 1108645739
Total Pages : 201 pages
Book Rating : 4.1/5 (86 download)
Download or read book A Student's Guide to Infinite Series and Sequences written by Bernhard W. Bach, Jr. and published by Cambridge University Press. This book was released on 2018-05-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 0486152049
Total Pages : 212 pages
Book Rating : 4.4/5 (861 download)
Download or read book Infinite Sequences and Series written by Konrad Knopp and published by Courier Corporation. This book was released on 2012-09-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Daniel D. Bonar
Publisher : American Mathematical Soc.
ISBN 13 : 1470447827
Total Pages : 261 pages
Book Rating : 4.4/5 (74 download)
Download or read book Real Infinite Series written by Daniel D. Bonar and published by American Mathematical Soc.. This book was released on 2018-12-12 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.
Author : Konrad Knopp
Publisher :
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.3/5 (91 download)
Download or read book Theory and Application of Infinite Series written by Konrad Knopp and published by . This book was released on 1928 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trans from the 2nd German ed , pub 1923.
Author : Ian H. Hutchinson
Publisher : Cambridge University Press
ISBN 13 : 1107095670
Total Pages : 223 pages
Book Rating : 4.1/5 (7 download)
Download or read book A Student's Guide to Numerical Methods written by Ian H. Hutchinson and published by Cambridge University Press. This book was released on 2015-04-30 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The plain language style, worked examples and exercises in this book help students to understand the foundations of computational physics and engineering.
Author : Isidore Isaac Hirschman
Publisher : Courier Corporation
ISBN 13 : 0486798240
Total Pages : 193 pages
Book Rating : 4.4/5 (867 download)
Download or read book Infinite Series written by Isidore Isaac Hirschman and published by Courier Corporation. This book was released on 2014-08-18 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.
Author : Ileana Toma
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781986524063
Total Pages : 172 pages
Book Rating : 4.5/5 (24 download)
Download or read book Sequences and Series written by Ileana Toma and published by Createspace Independent Publishing Platform. This book was released on 2018-04-21 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to all those who, after finishing the high school, wish a practical initiation in the domain of sequences and series. This is the first volume of the series "Mathematics for future engineers." To provide useful tools for (future) engineers and for specialists, in general, we put into evidence some practical applications of sequences and series (e.g., how to apply Lagrange's and Taylor's formulas to the calculus of approximations, the catenary expressed in terms of hyperbolic functions, etc.). We tried to make the involved mathematics as attractive as possible, by simplifying the presentation without loosing the mathematical rigor of the results. To increase accessibility and to encourage the reader to get a technical know-how about sequences and series, we provided for each newly introduced notion a series of applications and solved problems; each chapter ends by a section containing exercises and problems, each one of these being accompanied by hints and answers. The references contain, along with books, some links with sites which can be helpful for the reader.
Author : Effrosyni Seitaridou
Publisher : Cambridge University Press
ISBN 13 : 1009213318
Total Pages : 184 pages
Book Rating : 4.0/5 (92 download)
Download or read book A Student's Guide to Rotational Motion written by Effrosyni Seitaridou and published by Cambridge University Press. This book was released on 2023-07-31 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rotational motion is of fundamental importance in physics and engineering, and an essential topic for undergraduates to master. This accessible yet rigorous Student's Guide focuses on the underlying principles of rotational dynamics, providing the reader with an intuitive understanding of the physical concepts, and a firm grasp of the mathematics. Key concepts covered include torque, moment of inertia, angular momentum, work and energy, and the combination of translational and rotational motion. Each chapter presents one important aspect of the topic, with derivations and analysis of the fundamental equations supported by step-by-step examples and exercises demonstrating important applications. Much of the book is focused on scenarios in which point masses and rigid bodies rotate around fixed axes, while more advanced examples of rotational motion, including gyroscopic motion, are introduced in a final chapter.
Author : James S. Walker
Publisher : Cambridge University Press
ISBN 13 : 1009115510
Total Pages : 226 pages
Book Rating : 4.0/5 (91 download)
Download or read book A Student's Guide to the Ising Model written by James S. Walker and published by Cambridge University Press. This book was released on 2023-04-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ising model provides a detailed mathematical description of ferromagnetism and is widely used in statistical physics and condensed matter physics. In this Student's Guide, the author demystifies the mathematical framework of the Ising model and provides students with a clear understanding of both its physical significance, and how to apply it successfully in their calculations. Key topics related to the Ising model are covered, including exact solutions of both finite and infinite systems, series expansions about high and low temperatures, mean-field approximation methods, and renormalization-group calculations. The book also incorporates plots, figures, and tables to highlight the significance of the results. Designed as a supplementary resource for undergraduate and graduate students, each chapter includes a selection of exercises intended to reinforce and extend important concepts, and solutions are also available for all exercises.
Author : Norman Gray
Publisher : Cambridge University Press
ISBN 13 : 1009003119
Total Pages : 232 pages
Book Rating : 4.0/5 (9 download)
Download or read book A Student's Guide to Special Relativity written by Norman Gray and published by Cambridge University Press. This book was released on 2022-02-03 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact yet informative Guide presents an accessible route through Special Relativity, taking a modern axiomatic and geometrical approach. It begins by explaining key concepts and introducing Einstein's postulates. The consequences of the postulates – length contraction and time dilation – are unravelled qualitatively and then quantitatively. These strands are then tied together using the mathematical framework of the Lorentz transformation, before applying these ideas to kinematics and dynamics. This volume demonstrates the essential simplicity of the core ideas of Special Relativity, while acknowledging the challenges of developing new intuitions and dealing with the apparent paradoxes that arise. A valuable supplementary resource for intermediate undergraduates, as well as independent learners with some technical background, the Guide includes numerous exercises with hints and notes provided online. It lays the foundations for further study in General Relativity, which is introduced briefly in an appendix.
Author : Daniel Fleisch
Publisher : Cambridge University Press
ISBN 13 : 1009115502
Total Pages : 222 pages
Book Rating : 4.0/5 (91 download)
Download or read book A Student's Guide to Laplace Transforms written by Daniel Fleisch and published by Cambridge University Press. This book was released on 2022-01-13 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics and more. However, students often struggle with the rationale behind these transforms, and the physical meaning of the transform results. Using the same approach that has proven highly popular in his other Student's Guides, Professor Fleisch addresses the topics that his students have found most troublesome; providing a detailed and accessible description of Laplace transforms and how they relate to Fourier and Z-transforms. Written in plain language and including numerous, fully worked examples. The book is accompanied by a website containing a rich set of freely available supporting materials, including interactive solutions for every problem in the text, and a series of podcasts in which the author explains the important concepts, equations, and graphs of every section of the book.
Author : Justin W. Garvin
Publisher :
ISBN 13 : 1009236121
Total Pages : 238 pages
Book Rating : 4.0/5 (92 download)
Download or read book A Student's Guide to the Navier-Stokes Equations written by Justin W. Garvin and published by . This book was released on 2023-03-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Navier-Stokes equations describe the motion of fluids and are an invaluable addition to the toolbox of every physicist, applied mathematician, and engineer. The equations arise from applying Newton's laws of motion to a moving fluid and are considered, when used in combination with mass and energy conservation rules, to be the fundamental governing equations of fluid motion. They are relevant across many disciplines, from astrophysics and oceanic sciences to aerospace engineering and materials science. This Student's Guide provides a clear and focused presentation of the derivation, significance and applications of the Navier-Stokes equations, along with the associated continuity and energy equations. Designed as a useful supplementary resource for undergraduate and graduate students, each chapter concludes with a selection of exercises intended to reinforce and extend important concepts. Video podcasts demonstrating the solutions in full are provided online, along with written solutions and other additional resources.
Author : J. F. James
Publisher : Cambridge University Press
ISBN 13 : 1139493949
Total Pages : 161 pages
Book Rating : 4.1/5 (394 download)
Download or read book A Student's Guide to Fourier Transforms written by J. F. James and published by Cambridge University Press. This book was released on 2011-03-31 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Norman Gray
Publisher : Cambridge University Press
ISBN 13 : 1316873765
Total Pages : 166 pages
Book Rating : 4.3/5 (168 download)
Download or read book A Student's Guide to General Relativity written by Norman Gray and published by Cambridge University Press. This book was released on 2019-01-03 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact guide presents the key features of general relativity, to support and supplement the presentation in mainstream, more comprehensive undergraduate textbooks, or as a re-cap of essentials for graduate students pursuing more advanced studies. It helps students plot a careful path to understanding the core ideas and basics of differential geometry, as applied to general relativity, without overwhelming them. While the guide doesn't shy away from necessary technicalities, it emphasises the essential simplicity of the main physical arguments. Presuming a familiarity with special relativity (with a brief account in an appendix), it describes how general covariance and the equivalence principle motivate Einstein's theory of gravitation. It then introduces differential geometry and the covariant derivative as the mathematical technology which allows us to understand Einstein's equations of general relativity. The book is supported by numerous worked exampled and problems, and important applications of general relativity are described in an appendix.
