Download or read book Measure Integration Real Analysis written by Sheldon Axler and published by Springer Nature. This book was released on 2019-11-29 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/

Download or read book Teach Yourself VISUALLY Calculus written by Dale W. Johnson, M.A. and published by Visual. This book was released on 2008-06-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus can test the limits of even the most advanced math students. This visual, easy-to-follow book deconstructs complex mathematical concepts in a way that’s infinitely easier to grasp. With clear, color-coded methods, you’ll get step-by-step instructions on solving problems using limits, derivatives, differentiation, curve sketching, and integrals. Easy access to concepts means you don’t have to sort through lengthy instructional text, and you can refer to the Appendix for a look at common differentiation rules, integration formulas, and trigonometric identities.

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

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 Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Download or read book Homotopy Type Theory Univalent Foundations of Mathematics written by and published by Univalent Foundations. This book was released on with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Calculus written by James Stewart and published by Brooks/Cole Publishing Company. This book was released on 2006-12 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stewart's CALCULUS: CONCEPTS AND CONTEXTS, 3rd Edition focuses on major concepts and supports them with precise definitions, patient explanations, and carefully graded problems. Margin notes clarify and expand on topics presented in the body of the text. The Tools for Enriching Calculus CD-ROM contains visualizations, interactive modules, and homework hints that enrich your learning experience. iLrn Homework helps you identify where you need additional help, and Personal Tutor with SMARTHINKING gives you live, one-on-one online help from an experienced calculus tutor. In addition, the Interactive Video Skillbuilder CD-ROM takes you step-by-step through examples from the book. The new Enhanced Review Edition includes new practice tests with solutions, to give you additional help with mastering the concepts needed to succeed in the course.

Download or read book Calculus for Everyone written by Mitch Stokes and published by . This book was released on 2020-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for only two kinds of people: those who are interested in science and math, and those who aren't. And so, motivated by this powerful idea, Calculus for Everyone presents the mathematics of change in an extremely effective way for anyone with a first-year course in algebra. Yet it does so without dumbing calculus down. In fact, Calculus for Everyone is not only for students who would have never dreamt of taking calculus, it is also for those who have already taken a standard calculus course, as well as for those who will go on to take such a course Based on more than a decade of classroom experience, this book provides mastery of calculus's core by focusing on the foundational concepts of limits, derivatives, and integrals, explaining how all three are united in the fundamental theorem of calculus. Moreover, Calculus for Everyone explains how the story of calculus is central to Western culture, from Plato in ancient Greece, to today's modern physics. Indeed, this book explains why calculus is needed at all-and why it is needed so badly. By mastering the core of calculus-as well as seeing its meaning and significance-students will not only better understand math and science in general, but contemporary culture and their place in it.

Download or read book Active Calculus 2018 written by Matthew Boelkins and published by Createspace Independent Publishing Platform. This book was released on 2018-08-13 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface.

Download or read book Topology with Applications written by Somashekhar A. Naimpally and published by World Scientific. This book was released on 2013 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.

Download or read book Change Is the Only Constant written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2019-10-08 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: From popular math blogger and author of the underground bestseller Math With Bad Drawings, Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. By spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.

Download or read book The Humongous Book of Calculus Problems written by W. Michael Kelley and published by Penguin. This book was released on 2013-11-07 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher

Download or read book Calculus written by Michael Spivak and published by . This book was released on 1980 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Raising Race Questions written by Ali Michael and published by Teachers College Press. This book was released on 2015 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conversations about race can be confusing, contentious, and frightening, particularly for White people. Even just asking questions about race can be scary because we are afraid of what our questions might reveal about our ignorance or bias. Raising Race Questions invites teachers to use inquiry as a way to develop sustained engagement with challenging racial questions and to do so in community so that they learn how common their questions actually are. It lays out both a process for getting to questions that lead to growth and change, as well as a vision for where engagement with race questions might lead. Race questions are not meant to lead us into a quagmire of guilt, discomfort, or isolation. Sustained race inquiry is meant to lead to anti-racist classrooms, positive racial identities, and a restoration of the wholeness of spirit and community that racism undermines. Book Features: Case studies of expert and experienced White teachers who still have questions about race. Approaches for talking about race in the K–12 classroom. Strategies for facilitating race conversations among adults. A variety of different resources useful in the teacher inquiry groups described in the book. Research with teachers, not on teachers, including written responses from each teacher whose classroom is featured in the book. “In Raising Race Questions Ali Michael is an excavator, determined to dig into every unexplored crevice of White teachers’ experiences with race in order to unearth the complex realities of racism and schooling, and a model of reflective inquiry, willing to lay herself and her assumptions bare in service to the reader's consciousness and her own. This book grew my consciousness in multiple ways, and that is the greatest gift an author can give me.” —Paul Gorski, founder, EdChange, associate professor, George Mason University “Ali Michael has a gift for getting people talking. This must-read book captures her ‘magic’ and shares useful strategies for teachers and schools working to develop their racial proficiency. As a White teacher engaged in this work, I've watched these tools help educators support one another as they make mistakes, reflect, and grow together.” —Lynn Eckerman, Teacher, Independence Charter School, Philadelphia, PA

Download or read book The Principles of Surgery written by John A. Orr (A.B.) and published by . This book was released on 1850 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Diagnostic Radiology written by Anju Garg and published by Jaypee Brothers Medical Publishers. This book was released on 2019-11-30 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive guide to imaging techniques for the diagnosis and management of genitourinary disorders. Divided into five key sections, the text covers diagnostic imaging of the urinary tract and the genital tract in both men and women. This fourth edition has been fully revised to provide clinicians with the latest advances and techniques in the field. New chapters on radiological anatomy and novel imaging techniques have been included. Latest guidelines and systematic-algorithms are covered to assist understanding and simplify diagnostic reporting. Radiological images, diagrams and figures further enhance the thorough text. Key points Comprehensive guide to diagnostic imaging techniques for genitourinary diseases and disorders Fully revised, fourth edition detailing latest advances in the field Includes new chapters on radiological anatomy and novel imaging techniques Previous edition (9788184486827) published in 2009

Download or read book Extracts from the records of the Boston Society for Medical Improvement v 4 1862 written by and published by . This book was released on 1862 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: