Calculus Without Derivatives
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Calculus Without Derivatives
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Author : Jean-Paul Penot
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09
Calculus Without Derivatives written by Jean-Paul Penot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-09 with Mathematics categories.
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Calculus Without Limits
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Author : David McMahon
language : en
Publisher:
Release Date : 2009-08-24
Calculus Without Limits written by David McMahon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-24 with Calculus categories.
Calculus without limits uses an innovative approach to teaching calculus by showing you all the tricks used to solve problems and pass exams. Each chapter is packed with examples solved in complete detail, followed by questions which reinforce learning and alert you to weak areas. Covers most aspects of first year calculus course and the AP exam, including:* Limits* Derivatives* Max-Min problems* Definite and Indefinite Integrals* Integration by Parts* Trig substitution, integration by partial fractions* Integration of trig, exponential and log functions* Indeterminate forms and L'Hopitals rule* An introduction to differential equations* Improper integrationPerfect for self-study, to help you get through first year calculus, or to prepare for the AP Calculus exam. Written in an informal style, this easy to understand yet information packed guide can help anyone learn calculus.
Calculus In 5 Hours Concepts Revealed So You Don T Have To Sit Through A Semester Of Lectures
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Author : Dennis Jarecke
language : en
Publisher: Calculus Center
Release Date : 2018-02-12
Calculus In 5 Hours Concepts Revealed So You Don T Have To Sit Through A Semester Of Lectures written by Dennis Jarecke and has been published by Calculus Center this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-12 with Mathematics categories.
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.
Analysis
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Author : Jean-Paul Penot
language : en
Publisher: Springer
Release Date : 2016-12-18
Analysis written by Jean-Paul Penot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-18 with Mathematics categories.
This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. Acknowledging that analysis has significantly contributed to the understanding and development of the present world, the book further elaborates on techniques which pervade modern civilization, including wavelets in information theory, the Radon transform in medical imaging and partial differential equations in various mechanical and physical phenomena. Advanced undergraduate and graduate students, engineers as well as practitioners wishing to familiarise themselves with concepts and applications of analysis will find this book useful. With its content split into several topics of interest, the book’s style and layout make it suitable for use in several courses, while its self-contained character makes it appropriate for self-study.
Calculus In Vector Spaces Without Norm
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Author : A. Frolicher
language : en
Publisher:
Release Date : 2014-09-01
Calculus In Vector Spaces Without Norm written by A. Frolicher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
What Is Calculus
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Author : R Michael Range
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-08-20
What Is Calculus written by R Michael Range and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-20 with Mathematics categories.
This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that dominate the traditional introductions to the subject. This simple algebraic method is a modern version of an idea that goes back to René Descartes and that has been largely forgotten. Moving beyond algebra, the need for new analytic concepts based on completeness, continuity, and limits becomes clearly visible to the reader while investigating exponential functions. The author carefully develops the necessary foundations while minimizing the use of technical language. He expertly guides the reader to deep fundamental analysis results, including completeness, key differential equations, definite integrals, Taylor series for standard functions, and the Euler identity. This pioneering book takes the sophisticated reader from simple familiar algebra to the heart of analysis. Furthermore, it should be of interest as a source of new ideas and as supplementary reading for high school teachers, and for students and instructors of calculus and analysis.
Calculus Of Variations
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Author : Hansjörg Kielhöfer
language : en
Publisher: Springer
Release Date : 2018-01-25
Calculus Of Variations written by Hansjörg Kielhöfer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-25 with Mathematics categories.
This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study. The book will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background.
The Essential Calculus Workbook Limits And Derivatives
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Author : Tim Hill
language : en
Publisher: Questing Vole Press
Release Date : 2019-06-30
The Essential Calculus Workbook Limits And Derivatives written by Tim Hill and has been published by Questing Vole Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-30 with Mathematics categories.
Ready to step up your game in calculus? This workbook isn't the usual parade of repetitive questions and answers. Author Tim Hill's approach lets you work on problems you enjoy, rather than through exercises and drills you fear, without the speed pressure, timed testing, and rote memorization that damage your experience of mathematics. Working through varied problems in this anxiety-free way helps you develop an understanding of numerical relations apart from the catalog of mathematical facts that's often stressed in classrooms and households. This number sense, common in high-achieving students, lets you apply and combine concepts, methods, and numbers flexibly, without relying on distant memories. - Solutions to basic problems are steeped in the fundamentals, including notation, terminology, definitions, theories, proofs, physical laws, and related concepts. - Advanced problems explore variations, tricks, subtleties, and real-world applications. - Problems build gradually in difficulty with little repetition. If you get stuck, then flip back a few pages for a hint or to jog your memory. - Numerous pictures depicting mathematical facts help you connect visual and symbolic representations of numbers and concepts. - Treats calculus as a problem-solving art requiring insight and intuitive understanding, not as a branch of logic requiring careful deductive reasoning. - Discards the common and damaging misconception that fast students are strong students. Good students aren't particularly fast with numbers because they think deeply and carefully about mathematics. - Detailed solutions and capsule reviews greatly reduce the need to cross reference a comprehensive calculus textbook. Topics covered: The tangent line. Delta notation. The derivative of a function. Differentiable functions. Leibniz notation. Average and instantaneous velocity. Speed. Projectile paths. Rates of change. Acceleration. Marginal cost. Limits. Epsilon-delta definition. Limit laws. Trigonometric limits. Continuity. Continuous functions. The Mean Value Theorem. The Extreme Value Theorem. The Intermediate Value Theorem. Fermat's theorem. Prerequisite mathematics: Elementary algebra. Real numbers. Functions. Graphs. Trigonometry. Contents 1. The Slope of the Tangent Line 2. The Definition of the Derivative 3. Velocity and Rates of Change 4. Limits 5. Continuous Functions About the Author Tim Hill is a statistician living in Boulder, Colorado. He holds degrees in mathematics and statistics from Stanford University and the University of Colorado. Tim has written guides for calculus, trigonometry, algebra, geometry, precalculus, permutations and combinations, debt, mortgages, and Excel pivot tables. When he's not crunching numbers, Tim climbs rocks, hikes canyons, and avoids malls.
Calculus
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Author : Gilbert Strang
language : en
Publisher:
Release Date : 2016-03-07
Calculus written by Gilbert Strang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-07 with Calculus categories.
"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.
Advanced Calculus
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
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.