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Worked Examples In Advanced Functions And Introductory Calculus
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Book Synopsis Harcourt Advanced Functions and Introductory Calculus by : Ruth Malinowski
Download or read book Harcourt Advanced Functions and Introductory Calculus written by Ruth Malinowski and published by Harcourt Canada. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Book Synopsis Calculus on Manifolds by : Michael Spivak
Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
Book Synopsis Calculus Deconstructed by : Zbigniew H. Nitecki
Download or read book Calculus Deconstructed written by Zbigniew H. Nitecki and published by American Mathematical Society. This book was released on 2022-01-11 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basic analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.
Book Synopsis A Problems Based Course in Advanced Calculus by : John M. Erdman
Download or read book A Problems Based Course in Advanced Calculus written by John M. Erdman and published by American Mathematical Soc.. This book was released on 2018-07-09 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.
Book Synopsis Advanced Functions 12 by : Wayne Erdman
Download or read book Advanced Functions 12 written by Wayne Erdman and published by . This book was released on 2008-08-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Mathematics for Engineers and Scientists with Worked Examples by : Shefiu Zakariyah
Download or read book Advanced Mathematics for Engineers and Scientists with Worked Examples written by Shefiu Zakariyah and published by Taylor & Francis. This book was released on 2024-11-25 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mathematics for Engineers and Scientists with Worked Examples covers core to advanced topics in mathematics required for science and engineering disciplines. It is primarily designed to provide a comprehensive, straightforward and step-by-step presentation of mathematical concepts to engineers, scientists and general readers. It moves from simple to challenging areas, with carefully tailored worked examples also of different degrees of challenge. Mathematical concepts are deliberately linked with appropriate engineering applications to reinforce their value and are aligned with topics taught in major overseas curriculums. This book is written primarily for students at levels 3 and 4 (typically in the early stages of a degree in engineering or a related discipline) or for those undertaking foundation, access, Higher National Certificate (HND), International Foundation Year (IFY), and International Year One (IYO) courses with math modules. It is organised into four main parts: Part I: Trigonometry Part II: Advanced Mathematics Part III: Matrices and Vectors Part IV: Calculus Each of the above four parts is divided into two or more chapters, and each chapter can be used as a stand-alone guide with no prior knowledge assumed. Additional exercises and resources for each chapter can be found online. To access this supplementary content, please go to www.dszak.com.
Book Synopsis Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition) by : Yorick Hardy
Download or read book Problems And Solutions In Introductory And Advanced Matrix Calculus (Second Edition) written by Yorick Hardy and published by World Scientific Publishing Company. This book was released on 2016-07-14 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC++ have also been provided.
Book Synopsis Advanced Calculus of Several Variables by : C. H. Edwards
Download or read book Advanced Calculus of Several Variables written by C. H. Edwards and published by Academic Press. This book was released on 2014-05-10 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.
Book Synopsis Calculus of Variations and Optimal Control Theory by : Daniel Liberzon
Download or read book Calculus of Variations and Optimal Control Theory written by Daniel Liberzon and published by Princeton University Press. This book was released on 2012 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.
Book Synopsis An Introduction to Calculus by : Duc Van Khanh Tran
Download or read book An Introduction to Calculus written by Duc Van Khanh Tran and published by . This book was released on 2021-05-02 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory calculus book aims to introduce calculus to high school and college math enthusiasts. It starts with some basic concepts such as limits and ordinary derivatives, and then leads to some relatively more advanced concepts with an introduction to partial derivatives at the end of the book. Reviews "This book is suitable for curious high school students, some college students, and maybe even some curious adults. This book has a difference in a friendly, readable, and sometimes cute writing. This is truly a book written by a single author, consistent in style and contents." - Dr. Vu Quang Huynh, Head of Department of Analysis and Dean of Faculty of Mathematics and Computer Science at Vietnam National University Ho Chi Minh City - University of Science (Đại Học Quốc Gia TPHCM - Đại Học Khoa Học Tự Nhiên) "This book has fourteen chapters presenting basic definitions and results on calculus in one variable. The layout is very good. Many results and examples are explained very clearly." - Associate Prof. Dr. Bien Hoang Mai, Head of Department of Algebra at Vietnam National University Ho Chi Minh City - University of Science (Đại Học Quốc Gia TPHCM - Đại Học Khoa Học Tự Nhiên) "The book An Introduction to Calculus: With Hyperbolic Functions, Limits, Derivatives, and More by author Duc Van Khanh Tran refers to the theories of limits, the derivative and differential of a function of a single variable, and the partial derivative of a function of several variables in a practical and easily accessible way. Moreover, the book has covered many interesting additions in chapters 1, 8, 9. There are many relatively rich illustrative examples. The book is suitable for learners who want to research an overview of Calculus." - Dr. Triet Anh Nguyen, Head of Department of Mathematics, Mechanics, and Informatics at University of Architecture Ho Chi Minh City (Đại Học Kiến Trúc TPHCM) "An Introduction to Calculus provides a plethora of interesting and fun examples to work through. It is a book that illustrates many elementary concepts wonderfully and delves into them using an example-based approach. It covers a wide variety of techniques and examples, more so than a typical elementary calculus course would. This makes it a detailed yet simple book to read, perfect for a beginner aiming to master elementary calculus." - Hamza Alsamraee, author of "Advanced Calculus Explored" and "Paradoxes" and admin of Daily Math on Instagram "An Introduction to Calculus provides a comprehensive overview of the strategies and techniques in introductory calculus. Duc Van Khanh Tran's pedagogical language and engaging tone make the abstract concepts easy to follow. Furthermore, he includes many results nonstandard to a traditional introductory text that spark excitement at the power of math. To any student interested in exploring the ideas of calculus, this book will be hard to put down!" - Jack Moffatt, admin of Integral Fun on Instagram "The book is well organized with concise definitions, a lot of examples with explanations, and exercise problems for further practice. I like how each worked example is explained in great detail. The topics covered are much more advanced than normal calculus textbooks. This is definitely a gift for all Math lovers to start their journey in Calculus." - Vinci Mak, admin of Chill with Math Vibes on Instagram
Book Synopsis Single Variable Calculus by : Soo Tang Tan
Download or read book Single Variable Calculus written by Soo Tang Tan and published by . This book was released on 2020-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Schaums Outline of Advanced Calculus, Second Edition by : Robert C. Wrede
Download or read book Schaums Outline of Advanced Calculus, Second Edition written by Robert C. Wrede and published by McGraw Hill Professional. This book was released on 2002-02-20 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, theres Schaums Outlines. More than 40 million students have trusted Schaums to help them succeed in the classroom and on exams. Schaums is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaums Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaums highlights all the important facts you need to know. Use Schaums to shorten your study time-and get your best test scores! Schaums Outlines-Problem Solved.
Book Synopsis Introduction to the Calculus of Variations by : Hans Sagan
Download or read book Introduction to the Calculus of Variations written by Hans Sagan and published by Courier Corporation. This book was released on 2012-04-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.
Book Synopsis Calculus of One Variable by : Joseph W. Kitchen
Download or read book Calculus of One Variable written by Joseph W. Kitchen and published by Courier Dover Publications. This book was released on 2020-01-15 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richly textured and versatile text characterizes real numbers as a complete, ordered field. Rigorous development of the calculus, plus thorough treatment of basic topics of limits and inequalities. 1968 edition.
Book Synopsis Mathematics for Machine Learning by : Marc Peter Deisenroth
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.