1st Steps In The Calculus

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First Steps in Differential Geometry

Author : Andrew McInerney
Publisher : Springer Science & Business Media
ISBN 13 : 1461477328
Total Pages : 420 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis First Steps in Differential Geometry by : Andrew McInerney

Download or read book First Steps in Differential Geometry written by Andrew McInerney and published by Springer Science & Business Media. This book was released on 2013-07-09 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.

Advanced Calculus (Revised Edition)

Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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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.

Computer Graphics

Author : Patricia A. Egerton
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computer Graphics by : Patricia A. Egerton

Download or read book Computer Graphics written by Patricia A. Egerton and published by Prentice Hall. This book was released on 1998 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Graphics - First Mathematical Steps will help students to master basic Computer Graphics and the mathematical concepts which underlie this subject. They will be led to develop their own skills, and appreciate Computer Graphics techniques in both two and three dimensions. The presentation of the text is methodical, systematic and gently paced - everything translates into numbers and simple ideas. Sometimes students experience difficulty in understanding some of the mathematics in standard Computer Graphics books; this book can serve as a good introduction to more advanced texts. It starts from first principles and is sympathetically written for those with a limited mathematical background. Computer Graphics - First Mathematical Steps is suitable for supporting undergraduate programmes in Computers and also the newer areas of Computer Graphics and Visualization. It is appropriate for post-graduate conversion courses which develop expertise in Computer Graphics and CAD. It can also be used for enrichment topics for high-flying pre-college students, and for refresher/enhancement courses for computer graphics technicians.

Fundamentals of Calculus

Author : Carla C. Morris
Publisher : John Wiley & Sons
ISBN 13 : 1119015316
Total Pages : 368 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Fundamentals of Calculus by : Carla C. Morris

Download or read book Fundamentals of Calculus written by Carla C. Morris and published by John Wiley & Sons. This book was released on 2015-07-28 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.

Ultralearning

Author : Scott H. Young
Publisher : HarperCollins
ISBN 13 : 0062852744
Total Pages : 278 pages
Book Rating : 4.0/5 (628 download)

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Book Synopsis Ultralearning by : Scott H. Young

Download or read book Ultralearning written by Scott H. Young and published by HarperCollins. This book was released on 2019-08-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now a Wall Street Journal bestseller. Learn a new talent, stay relevant, reinvent yourself, and adapt to whatever the workplace throws your way. Ultralearning offers nine principles to master hard skills quickly. This is the essential guide to future-proof your career and maximize your competitive advantage through self-education. In these tumultuous times of economic and technological change, staying ahead depends on continual self-education—a lifelong mastery of fresh ideas, subjects, and skills. If you want to accomplish more and stand apart from everyone else, you need to become an ultralearner. The challenge of learning new skills is that you think you already know how best to learn, as you did as a student, so you rerun old routines and old ways of solving problems. To counter that, Ultralearning offers powerful strategies to break you out of those mental ruts and introduces new training methods to help you push through to higher levels of retention. Scott H. Young incorporates the latest research about the most effective learning methods and the stories of other ultralearners like himself—among them Benjamin Franklin, chess grandmaster Judit Polgár, and Nobel laureate physicist Richard Feynman, as well as a host of others, such as little-known modern polymath Nigel Richards, who won the French World Scrabble Championship—without knowing French. Young documents the methods he and others have used to acquire knowledge and shows that, far from being an obscure skill limited to aggressive autodidacts, ultralearning is a powerful tool anyone can use to improve their career, studies, and life. Ultralearning explores this fascinating subculture, shares a proven framework for a successful ultralearning project, and offers insights into how you can organize and exe - cute a plan to learn anything deeply and quickly, without teachers or budget-busting tuition costs. Whether the goal is to be fluent in a language (or ten languages), earn the equivalent of a college degree in a fraction of the time, or master multiple tools to build a product or business from the ground up, the principles in Ultralearning will guide you to success.

Short Calculus

Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1461300770
Total Pages : 276 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Short Calculus by : Serge Lang

Download or read book Short Calculus written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews "This is a reprint of the original edition of Lang’s ‘A First Course in Calculus’, which was first published in 1964....The treatment is ‘as rigorous as any mathematician would wish it’....[The exercises] are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging....There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able." --Mathematical Gazette

A Companion to Analysis

Author : Thomas William Körner
Publisher : American Mathematical Soc.
ISBN 13 : 0821834479
Total Pages : 608 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Companion to Analysis by : Thomas William Körner

Download or read book A Companion to Analysis written by Thomas William Körner and published by American Mathematical Soc.. This book was released on 2004 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book not only provides a lot of solid information about real analysis, it also answers those questions which students want to ask but cannot figure how to formulate. To read this book is to spend time with one of the modern masters in the subject. --Steven G. Krantz, Washington University, St. Louis One of the major assets of the book is Korner's very personal writing style. By keeping his own engagement with the material continually in view, he invites the reader to a similarly high level of involvement. And the witty and erudite asides that are sprinkled throughout the book are a real pleasure. --Gerald Folland, University of Washingtion, Seattle Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they hang together. This book provides such students with the coherent account that they need. A Companion to Analysis explains the problems which must be resolved in order to obtain a rigorous development of the calculus and shows the student how those problems are dealt with. Starting with the real line, it moves on to finite dimensional spaces and then to metric spaces. Readers who work through this text will be ready for such courses as measure theory, functional analysis, complex analysis and differential geometry. Moreover, they will be well on the road which leads from mathematics student to mathematician. Able and hard working students can use this book for independent study, or it can be used as the basis for an advanced undergraduate or elementary graduate course. An appendix contains a large number of accessible but non-routine problems to improve knowledge and technique.

Active Calculus 2018

Author : Matthew Boelkins
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724458322
Total Pages : 560 pages
Book Rating : 4.4/5 (583 download)

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Book Synopsis Active Calculus 2018 by : Matthew Boelkins

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.

Teaching and Learning of Calculus

Author : David Bressoud
Publisher : Springer
ISBN 13 : 3319329758
Total Pages : 44 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Teaching and Learning of Calculus by : David Bressoud

Download or read book Teaching and Learning of Calculus written by David Bressoud and published by Springer. This book was released on 2016-06-14 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

Commutation Relations, Normal Ordering, and Stirling Numbers

Author : Toufik Mansour
Publisher : CRC Press
ISBN 13 : 1466579897
Total Pages : 506 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Commutation Relations, Normal Ordering, and Stirling Numbers by : Toufik Mansour

Download or read book Commutation Relations, Normal Ordering, and Stirling Numbers written by Toufik Mansour and published by CRC Press. This book was released on 2015-09-18 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutation Relations, Normal Ordering, and Stirling Numbers provides an introduction to the combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. The Weyl algebra is the algebra generated by two letters U and V subject to the commutation relation UV - VU = I. It is a classical result that normal ordering pow

Introduction to Analysis

Author : Maxwell Rosenlicht
Publisher : Courier Corporation
ISBN 13 : 0486134687
Total Pages : 270 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Analysis by : Maxwell Rosenlicht

Download or read book Introduction to Analysis written by Maxwell Rosenlicht and published by Courier Corporation. This book was released on 2012-05-04 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.

The Calculus Story

Author : David Acheson
Publisher : Oxford University Press
ISBN 13 : 0198804547
Total Pages : 209 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis The Calculus Story by : David Acheson

Download or read book The Calculus Story written by David Acheson and published by Oxford University Press. This book was released on 2017 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: "[Acheson] introduces the fundamental ideas of calculus through the story of how the subject developed, from approximating π to imaginary numbers, and from Newton's falling apple to the vibrations of an electric guitar."--Back cover

Communicating Process Architectures 2005

Author : Jan F. Broenink
Publisher : IOS Press
ISBN 13 : 1586035614
Total Pages : 416 pages
Book Rating : 4.5/5 (86 download)

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Book Synopsis Communicating Process Architectures 2005 by : Jan F. Broenink

Download or read book Communicating Process Architectures 2005 written by Jan F. Broenink and published by IOS Press. This book was released on 2005 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern computing systems work when all components are correct by design and can be combined to achieve scalability. This publication offers refereed papers covering various aspects such as: system design and implementation; tools (concurrent programming languages, libraries, and run-time kernels); and, formal methods and applications.

B.H. Blackwell

Author : B.H. Blackwell Ltd
Publisher :
ISBN 13 :
Total Pages : 1388 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis B.H. Blackwell by : B.H. Blackwell Ltd

Download or read book B.H. Blackwell written by B.H. Blackwell Ltd and published by . This book was released on 1928 with total page 1388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures

Author : Dennis Jarecke
Publisher : Calculus Center
ISBN 13 : 0999525409
Total Pages : 139 pages
Book Rating : 4.9/5 (995 download)

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Book Synopsis Calculus in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures by : Dennis Jarecke

Download or read book Calculus in 5 Hours: Concepts Revealed so You Don't Have to Sit Through a Semester of Lectures written by Dennis Jarecke and published by Calculus Center. This book was released on 2018-02-12 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students often struggle to understand Calculus and get through their first Calculus course. And to make things worse, many popular textbooks reach a whopping 1,000 pages to introduce this crucial subject, needlessly frustrating and overwhelming students. Calculus in 5 Hours develops the confidence you need in approximately 124 pages. You may not realize it, but you're smarter than you think you are. The problem is that assigned textbooks give exhaustive explanations of every proof and theorem in Calculus. But too many details can impair learning - especially when you're learning something for the first time - creating doubt and uncertainty in your ability to understand. What's needed is a straightforward guide to give you the basic concepts. Calculus in 5 Hours is a good companion to any Calculus course and an excellent resource for refreshing your knowledge of the subject. Here's what it can do for you: * Organize your understanding of Calculus for quick and easy recall on tests and homework assignments * Present straightforward drawings that demonstrate concepts with minimal effort on your part * Highlight simple examples without burdening you with useless details Calculus in 5 Hours covers roughly 75% of a first-semester course and leaves out the extra material that adds little value in learning Calculus itself. So, if you need a comprehensive textbook that goes through every detail of Calculus, then this book is not for you. Instead, you'll get a straightforward and simple explanation of Calculus that can be absorbed in less than a day, strengthening your knowledge and confidence at the same time. This allows you to focus on what's truly important - gaining knowledge and achievement as fast as possible. Get Calculus in 5 Hours to shorten your learning curve and gain the understanding you need to be successful today.

The Journal of Education

Author :
Publisher :
ISBN 13 :
Total Pages : 720 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Journal of Education by :

Download or read book The Journal of Education written by and published by . This book was released on 1890 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fat Manifolds and Linear Connections

Author : Alessandro De Paris
Publisher : World Scientific
ISBN 13 : 9812819045
Total Pages : 310 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Fat Manifolds and Linear Connections by : Alessandro De Paris

Download or read book Fat Manifolds and Linear Connections written by Alessandro De Paris and published by World Scientific. This book was released on 2009 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media). The now-standard approach to this subject was proposed by Ch. Ehresmann 60 years ago, attracting first mathematicians and later physicists by its transparent geometrical simplicity. Unfortunately, it does not extend well to a number of recently emerged situations of significant importance (singularities, supermanifolds, infinite jets and secondary calculus, etc.). Moreover, it does not help in understanding the structure of calculus naturally related with a connection.In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a ?fat manifold? introduced here then allows the reader to build a well-working analogy of this ?connection calculus? with the usual one.