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Practical Analysis In One Variable


Practical Analysis In One Variable
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Practical Analysis In One Variable


Practical Analysis In One Variable
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Author : Donald Estep
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-10

Practical Analysis In One Variable written by Donald Estep 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 2002-10 with Mathematics categories.


"The book is well suited for an honors calculus sequence typically taken by first-year undergraduates planning to major in engineering, mathematics, and science and for an introductory course in rigorous real analysis offered to mathematics majors."--BOOK JACKET.



Practical Analysis In One Variable


Practical Analysis In One Variable
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Author : Donald Estep
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06

Practical Analysis In One Variable written by Donald Estep 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 2006-04-06 with Mathematics categories.


Background I was an eighteen-year-old freshman when I began studying analysis. I had arrived at Columbia University ready to major in physics or perhaps engineering. But my seduction into mathematics began immediately with Lipman Bers’ calculus course, which stood supreme in a year of exciting classes. Then after the course was over, Professor Bers called me into his o?ce and handed me a small blue book called Principles of Mathematical Analysis by W. Rudin. He told me that if I could read this book over the summer,understandmostofit,andproveitbydoingmostoftheproblems, then I might have a career as a mathematician. So began twenty years of struggle to master the ideas in “Little Rudin. ” I began because of a challenge to my ego but this shallow reason was quickly forgotten as I learned about the beauty and the power of analysis that summer. Anyone who recalls taking a “serious” mathematics course for the ?rst time will empathize with my feelings about this new world into which I fell. In school, I restlessly wandered through complex analysis, analyticnumbertheory,andpartialdi?erentialequations,beforeeventually settling in numerical analysis. But underlying all of this indecision was an ever-present and ever-growing appreciation of analysis. An appreciation thatstillsustainsmyintellectevenintheoftencynicalworldofthemodern academic professional. But developing this appreciation did not come easy to me, and the p- sentation in this book is motivated by my struggles to understand the viii Preface most basic concepts of analysis. To paraphrase J.



Practical Methods For Reliability Data Analysis


Practical Methods For Reliability Data Analysis
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Author : Jake Ansell
language : en
Publisher: Oxford University Press
Release Date : 1994

Practical Methods For Reliability Data Analysis written by Jake Ansell and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


This is a practical text for those who wish to analyse data from Reliability studies. The emphasis is on clear explanation of the techniques used, supported by extensive mathematical and statistical background and nature of the data before it is analysed. There are chapters on survival analysis, using illuminating case studies.



Introduction To Calculus And Classical Analysis


Introduction To Calculus And Classical Analysis
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Author : Omar Hijab
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-17

Introduction To Calculus And Classical Analysis written by Omar Hijab 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 2007-04-17 with Mathematics categories.


This is the second edition of an undergraduate one-variable analysis text. Apart from correcting errors and rewriting several sections, material has been added, notably in Chapter 1 and Chapter 4. A noteworthy addition is a re- variable computation of the radius of convergence of the Bernoulli series using the root test (Chapter 5). What follows is the preface from the ?rst edition. For undergraduate students, the transition from calculus to analysis is often disorienting and mysterious. What happened to the beautiful calculus formulas?Wheredid -? andopensetscomefrom?Itisnotuntillaterthatone integrates these seemingly distinct points of view. When teaching “advanced calculus”, I always had a di?cult time answering these questions. Now,everymathematicianknowsthatanalysisarosenaturallyintheni- teenthcenturyoutofthecalculusoftheprevioustwocenturies.Believingthat it was possible to write a book re?ecting, explicitly, this organic growth, I set outtodoso. I chose several of the jewels of classical eighteenth and nineteenth century analysisandinsertedthemattheendofthebook,insertedtheaxiomsforreals at the beginning, and ?lled in the middle with (and only with) the material necessaryforclarityandlogical completeness.Intheprocess,everylittle piece of one-variable calculus assumed its proper place, and theory and application were interwoven throughout.



Elementary Analysis


Elementary Analysis
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Author : Kenneth A. Ross
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Elementary Analysis written by Kenneth A. Ross 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 2013-04-17 with Mathematics categories.


Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.



Understanding Analysis


Understanding Analysis
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Author : Stephen Abbott
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Understanding Analysis written by Stephen Abbott 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 2012-12-06 with Mathematics categories.


Understanding Analysis outlines an elementary, one-semester course designed to expose students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on the questions that give analysis its inherent fascination. Does the Cantor set contain any irrational numbers? Can the set of points where a function is discontinuous be arbitrary? Are derivatives continuous? Are derivatives integrable? Is an infinitely differentiable function necessarily the limit of its Taylor series? In giving these topics center stage, the hard work of a rigorous study is justified by the fact that they are inaccessible without it.



Complex Analysis


Complex Analysis
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Author : THEODORE GAMELIN
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-17

Complex Analysis written by THEODORE GAMELIN 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 2003-07-17 with Mathematics categories.


An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.



Real Mathematical Analysis


Real Mathematical Analysis
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Author : Charles Chapman Pugh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-19

Real Mathematical Analysis written by Charles Chapman Pugh 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 2013-03-19 with Mathematics categories.


Was plane geometry your favorite math course in high school? Did you like proving theorems? Are you sick of memorizing integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is pure mathematics, and I hope it appeals to you, the budding pure mathematician. Berkeley, California, USA CHARLES CHAPMAN PUGH Contents 1 Real Numbers 1 1 Preliminaries 1 2 Cuts . . . . . 10 3 Euclidean Space . 21 4 Cardinality . . . 28 5* Comparing Cardinalities 34 6* The Skeleton of Calculus 36 Exercises . . . . . . . . 40 2 A Taste of Topology 51 1 Metric Space Concepts 51 2 Compactness 76 3 Connectedness 82 4 Coverings . . . 88 5 Cantor Sets . . 95 6* Cantor Set Lore 99 7* Completion 108 Exercises . . . 115 x Contents 3 Functions of a Real Variable 139 1 Differentiation. . . . 139 2 Riemann Integration 154 Series . . 179 3 Exercises 186 4 Function Spaces 201 1 Uniform Convergence and CO[a, b] 201 2 Power Series . . . . . . . . . . . . 211 3 Compactness and Equicontinuity in CO . 213 4 Uniform Approximation in CO 217 Contractions and ODE's . . . . . . . . 228 5 6* Analytic Functions . . . . . . . . . . . 235 7* Nowhere Differentiable Continuous Functions . 240 8* Spaces of Unbounded Functions 248 Exercises . . . . . 251 267 5 Multivariable Calculus 1 Linear Algebra . . 267 2 Derivatives. . . . 271 3 Higher derivatives . 279 4 Smoothness Classes . 284 5 Implicit and Inverse Functions 286 290 6* The Rank Theorem 296 7* Lagrange Multipliers 8 Multiple Integrals . .



Applied Linear Algebra And Matrix Analysis


Applied Linear Algebra And Matrix Analysis
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Author : Thomas S. Shores
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-12

Applied Linear Algebra And Matrix Analysis written by Thomas S. Shores 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 2007-03-12 with Mathematics categories.


This book is about matrix and linear algebra, and their applications. For many students the tools of matrix and linear algebra will be as fundamental in their professional work as the tools of calculus; thus it is important to ensure that students appreciate the utility and beauty of these subjects as well as the mechanics. To this end, applied mathematics and mathematical modeling ought to have an important role in an introductory treatment of linear algebra. In this way students see that concepts of matrix and linear algebra make concrete problems workable. In this book we weave signi?cant motivating examples into the fabric of the text. I hope that instructors will not omit this material; that would be a missed opportunity for linear algebra! The text has a strong orientation toward numerical computation and applied mathematics, which means that matrix analysis plays a central role. All three of the basic components of l- ear algebra — theory, computation, and applications — receive their due. The proper balance of these components gives students the tools they need as well as the motivation to acquire these tools. Another feature of this text is an emphasis on linear algebra as an experimental science; this emphasis is found in certain examples, computer exercises, and projects. Contemporary mathematical software make ideal “labs” for mathematical experimentation. Nonetheless, this text is independent of speci?c hardware and software pl- forms. Applications and ideas should take center stage, not software.



Essentials Of Project Management


Essentials Of Project Management
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Author : KAMARAJU RAMAKRISHNA
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2010-05-24

Essentials Of Project Management written by KAMARAJU RAMAKRISHNA and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-24 with Business & Economics categories.


This comprehensive and well-organized book introduces the essential concepts and principles of project management. Divided into six parts—Part I, Introduction; Part II, Idea Generation and Initiation; Part III, Project Planning; Part IV, Project Implementation; Part V, Project Closeout; and Part VI, Special Topics, the book gives an indepth analysis of the various aspects of project management. The book clearly explains Work Breakdown Structure (WBS), Net Present Value (NPV), Earned Value Analysis (EVA), Total Quality Management (TQM), and Global Warming—from the viewpoint of beginners. In addition, the text deals with special topics such as Public Sector Projects, Engineering Projects, Maintenance Projects, Software Projects, and International Projects besides risk and quality of projects. The final chapter is devoted to a discussion on Project Management Software. Key Features : • The text is illustrated with large number of figures, as well as tables and worked-out numerical examples. These will help the students in understanding the basic concepts. • Questions are provided at the end of each part for a better grasp of the topics discussed. • The effect of project management on safety, health and environment has also been analyzed. Primarily intended as a text for the students of management, the book will also prove very useful for the students of mechanical and civil engineering. In addition, practising professionals would find the book quite valuable.