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.

Download or read book Exploring Math from Algebra to Calculus with Derive written by Jerry Glynn and published by Mathware, Limited. This book was released on 1992 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Exploring Calculus written by Crista Arangala and published by CRC Press. This book was released on 2016-08-03 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is meant to be a hands-on lab manual that can be used in class every day to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.

Download or read book Exploring Calculus with Analyzer written by Richard E. Sours and published by Addison Wesley Publishing Company. This book was released on 1993 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Exploring Calculus with Maple written by Mark H. Holmes and published by Addison Wesley Publishing Company. This book was released on 1993 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Calculus A Rigorous First Course written by Daniel J. Velleman and published by Courier Dover Publications. This book was released on 2017-01-18 with total page 737 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.

Download or read book Everyday Calculus written by Oscar E. Fernandez and published by Princeton University Press. This book was released on 2017-03-07 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fun look at calculus in our everyday lives Calculus. For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun and accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful—determining which seat at the theater leads to the best viewing experience, for instance—and fascinating—exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes. The book features a new preface that alerts readers to new interactive online content, including demonstrations linked to specific figures in the book as well as an online supplement. Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus will convince even die-hard skeptics to view this area of math in a whole new way.

Download or read book Discovering Calculus with Derive written by Jerry Johnson and published by John Wiley & Sons. This book was released on 1995 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This manual allows students to use Derive as an investigative tool to explore the concepts behind calculus. Each chapter begins with worked examples, followed by exercises and exploration and discovery problems which encourage students to investigate ideas on their own or in groups.

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

Download or read book Calculus of Variations written by I. M. Gelfand and published by Courier Corporation. This book was released on 2012-04-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

Download or read book Mathematics From the Birth of Numbers written by Jan Gullberg and published by W. W. Norton & Company. This book was released on 1997-01-07 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated exploration of mathematics and its history, beginning with a study of numbers and their symbols, and continuing with a broad survey that includes consideration of algebra, geometry, hyperbolic functions, fractals, and many other mathematical functions.

Download or read book The Fundamentals of Mathematical Analysis written by G. M. Fikhtengol'ts and published by Elsevier. This book was released on 2014-08-01 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fundamentals of Mathematical Analysis, Volume 2 is a continuation of the discussion of the fundamentals of mathematical analysis, specifically on the subject of curvilinear and surface integrals, with emphasis on the difference between the curvilinear and surface ""integrals of first kind"" and ""integrals of second kind."" The discussions in the book start with an introduction to the elementary concepts of series of numbers, infinite sequences and their limits, and the continuity of the sum of a series. The definition of improper integrals of unbounded functions and that of uniform convergence of integrals are explained. Curvilinear integrals of the first and second kinds are analyzed mathematically. The book then notes the application of surface integrals, through a parametric representation of a surface, and the calculation of the mass of a solid. The text also highlights that Green's formula, which connects a double integral over a plane domain with curvilinear integral along the contour of the domain, has an analogue in Ostrogradski's formula. The periodic values and harmonic analysis such as that found in the operation of a steam engine are analyzed. The volume ends with a note of further developments in mathematical analysis, which is a chronological presentation of important milestones in the history of analysis. The book is an ideal reference for mathematicians, students, and professors of calculus and advanced mathematics.

Download or read book The Book of Why written by Judea Pearl and published by Basic Books. This book was released on 2018-05-15 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Turing Award-winning computer scientist and statistician shows how understanding causality has revolutionized science and will revolutionize artificial intelligence "Correlation is not causation." This mantra, chanted by scientists for more than a century, has led to a virtual prohibition on causal talk. Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

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.

Download or read book Foundations of Applied Mathematics Volume I written by Jeffrey Humpherys and published by SIAM. This book was released on 2017-07-07 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the essential foundations of both linear and nonlinear analysis necessary for understanding and working in twenty-first century applied and computational mathematics. In addition to the standard topics, this text includes several key concepts of modern applied mathematical analysis that should be, but are not typically, included in advanced undergraduate and beginning graduate mathematics curricula. This material is the introductory foundation upon which algorithm analysis, optimization, probability, statistics, differential equations, machine learning, and control theory are built. When used in concert with the free supplemental lab materials, this text teaches students both the theory and the computational practice of modern mathematical analysis. Foundations of Applied Mathematics, Volume 1: Mathematical Analysis includes several key topics not usually treated in courses at this level, such as uniform contraction mappings, the continuous linear extension theorem, Daniell?Lebesgue integration, resolvents, spectral resolution theory, and pseudospectra. Ideas are developed in a mathematically rigorous way and students are provided with powerful tools and beautiful ideas that yield a number of nice proofs, all of which contribute to a deep understanding of advanced analysis and linear algebra. Carefully thought out exercises and examples are built on each other to reinforce and retain concepts and ideas and to achieve greater depth. Associated lab materials are available that expose students to applications and numerical computation and reinforce the theoretical ideas taught in the text. The text and labs combine to make students technically proficient and to answer the age-old question, "When am I going to use this?

Download or read book Exploring Calculus with a Graphing Calculator written by Charlene E. Beckmann and published by Addison Wesley Publishing Company. This book was released on 1992 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: