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Author : Danuta Przeworska-Rolewicz
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (121 download)
Download or read book Different Aspects of Differentiability written by Danuta Przeworska-Rolewicz and published by . This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shmuel Kantorovitz
Publisher : Springer
ISBN 13 : 3319279564
Total Pages : 317 pages
Book Rating : 4.3/5 (192 download)
Download or read book Several Real Variables written by Shmuel Kantorovitz and published by Springer. This book was released on 2016-02-09 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.
Author : R. M. Dudley
Publisher : Springer Science & Business
ISBN 13 : 9783540659754
Total Pages : 300 pages
Book Rating : 4.6/5 (597 download)
Download or read book Differentiability of Six Operators on Nonsmooth Functions and P-Variation written by R. M. Dudley and published by Springer Science & Business. This book was released on 1999-06-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.
Author : Matthew Boelkins
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781724458322
Total Pages : 560 pages
Book Rating : 4.4/5 (583 download)
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.
Author : Marek Jarnicki
Publisher : Springer
ISBN 13 : 3319126709
Total Pages : 298 pages
Book Rating : 4.3/5 (191 download)
Download or read book Continuous Nowhere Differentiable Functions written by Marek Jarnicki and published by Springer. This book was released on 2015-12-30 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of ideas and tricks used to study the explicit continuous nowhere differentiable functions of Weierstrass, Takagi–van der Waerden, Bolzano, and others. Modern tools of functional analysis, measure theory, and Fourier analysis are applied to examine the generic nature of continuous nowhere differentiable functions, as well as linear structures within the (nonlinear) space of continuous nowhere differentiable functions. To round out the presentation, advanced techniques from several areas of mathematics are brought together to give a state-of-the-art analysis of Riemann’s continuous, and purportedly nowhere differentiable, function. For the reader’s benefit, claims requiring elaboration, and open problems, are clearly indicated. An appendix conveniently provides background material from analysis and number theory, and comprehensive indices of symbols, problems, and figures enhance the book’s utility as a reference work. Students and researchers of analysis will value this unique book as a self-contained guide to the subject and its methods.
Author : Gregory Hill
Publisher : Research & Education Assoc.
ISBN 13 : 0738603058
Total Pages : 338 pages
Book Rating : 4.7/5 (386 download)
Download or read book CLEP® Calculus written by Gregory Hill and published by Research & Education Assoc.. This book was released on 2008 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Start earning college credit the inexpensive way. An easier path to a college degree - get college credits without the classes. CLEP CALCULUS – with TESTware Includes CD with timed practice tests, instant scoring, and more. Based on today’s official CLEP exam Are you prepared to excel on the CLEP? * Take the first practice test to discover what you know and what you should know * Set up a flexible study schedule by following our easy timeline * Use REA's advice to ready yourself for proper study and success Study what you need to know to pass the exam * The comprehensive review covers all calculus topics found on the official exam, including limits and differential calculus and integral calculus, including algebraic, trigonometric, exponential, logarithmic, and general functions. * Smart and friendly lessons reinforce necessary skills * Key tutorials enhance specific abilities needed on the test * Targeted drills increase comprehension and help organize study Take Practice Tests * Create the closest experience to test-day conditions with the book’s 2 full-length practice tests on REA’s TESTware CD, featuring test-taking against the clock, instant scoring by topic, handy mark-and-return function, pause function, and more. * OR choose paper-and-pencil testing at your own pace * Chart your progress with full and detailed explanations of all answers * Boost your confidence with test-taking strategies and experienced advice REA is the acknowledged leader in CLEP preparation, with the most extensive library of CLEP titles and software available. Most titles are offered with REA’s exclusive TestWare software to make your practice more effective and more like exam day. REA’s CLEP test preps will help you earn valuable college credits, save on tuition, and advance your chosen career by earning a college degree. If you want an economical, fast track to college credit, then REA’s CLEP series is for you!
Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1475726988
Total Pages : 651 pages
Book Rating : 4.4/5 (757 download)
Download or read book Undergraduate Analysis written by Serge Lang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY
Author : John Willard Milnor
Publisher : Princeton University Press
ISBN 13 : 9780691048338
Total Pages : 80 pages
Book Rating : 4.0/5 (483 download)
Download or read book Topology from the Differentiable Viewpoint written by John Willard Milnor and published by Princeton University Press. This book was released on 1997-12-14 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.
Author : P.M. Gadea
Publisher : Springer Science & Business Media
ISBN 13 : 9048135648
Total Pages : 446 pages
Book Rating : 4.0/5 (481 download)
Download or read book Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers written by P.M. Gadea and published by Springer Science & Business Media. This book was released on 2009-12-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: A famous Swiss professor gave a student’s course in Basel on Riemann surfaces. After a couple of lectures, a student asked him, “Professor, you have as yet not given an exact de nition of a Riemann surface.” The professor answered, “With Riemann surfaces, the main thing is to UNDERSTAND them, not to de ne them.” The student’s objection was reasonable. From a formal viewpoint, it is of course necessary to start as soon as possible with strict de nitions, but the professor’s - swer also has a substantial background. The pure de nition of a Riemann surface— as a complex 1-dimensional complex analytic manifold—contributes little to a true understanding. It takes a long time to really be familiar with what a Riemann s- face is. This example is typical for the objects of global analysis—manifolds with str- tures. There are complex concrete de nitions but these do not automatically explain what they really are, what we can do with them, which operations they really admit, how rigid they are. Hence, there arises the natural question—how to attain a deeper understanding? One well-known way to gain an understanding is through underpinning the d- nitions, theorems and constructions with hierarchies of examples, counterexamples and exercises. Their choice, construction and logical order is for any teacher in global analysis an interesting, important and fun creating task.
Author : Gregory Hartman
Publisher :
ISBN 13 : 9781514225158
Total Pages : 0 pages
Book Rating : 4.2/5 (251 download)
Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Author : James R. Munkres
Publisher : CRC Press
ISBN 13 : 042996269X
Total Pages : 381 pages
Book Rating : 4.4/5 (299 download)
Download or read book Analysis On Manifolds written by James R. Munkres and published by CRC Press. This book was released on 2018-02-19 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts.
Author : Frank W. Warner
Publisher : Springer Science & Business Media
ISBN 13 : 1475717997
Total Pages : 283 pages
Book Rating : 4.4/5 (757 download)
Download or read book Foundations of Differentiable Manifolds and Lie Groups written by Frank W. Warner and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.
Author : Andrew McInerney
Publisher : Springer Science & Business Media
ISBN 13 : 1461477328
Total Pages : 420 pages
Book Rating : 4.4/5 (614 download)
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.
Author : Hugo D. Junghenn
Publisher : CRC Press
ISBN 13 : 148221928X
Total Pages : 613 pages
Book Rating : 4.4/5 (822 download)
Download or read book A Course in Real Analysis written by Hugo D. Junghenn and published by CRC Press. This book was released on 2015-02-13 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book's material has been extensively classroom tested in the author's two-semester undergraduate course on real analysis at The George Washington University.The first part of the text presents the
Author :
Publisher : Academic Press
ISBN 13 : 0080873790
Total Pages : 441 pages
Book Rating : 4.0/5 (88 download)
Download or read book An Introduction to Differentiable Manifolds and Riemannian Geometry written by and published by Academic Press. This book was released on 1975-08-22 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Differentiable Manifolds and Riemannian Geometry
Author : Max Lein
Publisher : World Scientific
ISBN 13 : 9811225397
Total Pages : 478 pages
Book Rating : 4.8/5 (112 download)
Download or read book A Mathematical Journey Through Differential Equations Of Physics written by Max Lein and published by World Scientific. This book was released on 2022-09-16 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the language of physics, and over time physicists have developed their own dialect. The main purpose of this book is to bridge this language barrier, and introduce the readers to the beauty of mathematical physics. It shows how to combine the strengths of both approaches: physicists often arrive at interesting conjectures based on good intuition, which can serve as the starting point of interesting mathematics. Conversely, mathematicians can more easily see commonalities between very different fields (such as quantum mechanics and electromagnetism), and employ more advanced tools.Rather than focusing on a particular topic, the book showcases conceptual and mathematical commonalities across different physical theories. It translates physical problems to concrete mathematical questions, shows how to answer them and explains how to interpret the answers physically. For example, if two Hamiltonians are close, why are their dynamics similar?The book alternates between mathematics- and physics-centric chapters, and includes plenty of concrete examples from physics as well as 76 exercises with solutions. It exploits that readers from either end are familiar with some of the material already. The mathematics-centric chapters provide the necessary background to make physical concepts mathematically precise and establish basic facts. And each physics-centric chapter introduces physical theories in a way that is more friendly to mathematicians.As the book progresses, advanced material is sprinkled in to showcase how mathematics and physics augment one another. Some of these examples are based on recent publications and include material which has not been covered in other textbooks. This is to keep it interesting for the readers.
Author : David Ruelle
Publisher : Elsevier
ISBN 13 : 1483272184
Total Pages : 196 pages
Book Rating : 4.4/5 (832 download)
Download or read book Elements of Differentiable Dynamics and Bifurcation Theory written by David Ruelle and published by Elsevier. This book was released on 2014-05-10 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.
