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Introduction To Calculus And Analysis Ii 1

Introduction to Calculus and Analysis II 1 PDF

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Author: Richard Courant
Publisher: Springer Science & Business Media
ISBN: 3642571492
Size: 46.98 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 556
View: 4152

Book Description: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991


Introduction To Calculus And Analysis Volume Ii 2

Introduction to Calculus and Analysis Volume II 2 PDF

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Author: Richard Courant
Publisher: Springer Science & Business Media
ISBN: 9783540665700
Size: 10.92 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 412
View: 6715

Book Description: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991


Quaestiones Mathematicae

Quaestiones Mathematicae PDF

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Author:
Publisher:
ISBN:
Size: 65.55 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages :
View: 2634

Book Description:


General Register

General Register PDF

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Author: University of Michigan
Publisher:
ISBN:
Size: 71.46 MB
Format: PDF, ePub, Docs
Category :
Languages : en
Pages :
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Book Description: Announcements for the following year included in some vols.


Administration Of The Service Academies

Administration of the Service Academies PDF

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Author: United States. Congress. House. Committee on Armed Services. Special Subcommittee on Service Academies
Publisher:
ISBN:
Size: 60.77 MB
Format: PDF, Docs
Category : Military education
Languages : en
Pages : 751
View: 4707

Book Description: Committee Serial No. 66. Investigates whether present laws and regulations assure a professional military force representative of a cross section of the American people. Includes "Professional Training and Education of the Midshipmen at the U.S. Naval Academy; A Final Report" Superintendent, USNA, Feb. 1967 (p. vii-clvii).


An Introduction To Analysis Differential Calculus

An INTRODUCTION to ANALYSIS  Differential Calculus  PDF

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Author: Ghosh & Maity
Publisher: New Central Book Agency
ISBN: 9788173814624
Size: 71.98 MB
Format: PDF, Mobi
Category :
Languages : en
Pages : 414
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Book Description: In the first two chapters, the basic concepts of elementary analysis have been thoroughly discussed.


Introduction To Integral Calculus

Introduction to Integral Calculus PDF

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Author: Ulrich L. Rohde
Publisher: John Wiley & Sons
ISBN: 1118130332
Size: 80.74 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 432
View: 4944

Book Description: An accessible introduction to the fundamentals of calculusneeded to solve current problems in engineering and the physicalsciences I ntegration is an important function of calculus, andIntroduction to Integral Calculus combines fundamental conceptswith scientific problems to develop intuition and skills forsolving mathematical problems related to engineering and thephysical sciences. The authors provide a solid introduction tointegral calculus and feature applications of integration,solutions of differential equations, and evaluation methods. Withlogical organization coupled with clear, simple explanations, theauthors reinforce new concepts to progressively build skills andknowledge, and numerous real-world examples as well as intriguingapplications help readers to better understand the connectionsbetween the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed tounderstand the principles of integral calculus and explore suchtopics as anti-derivatives, methods of converting integrals intostandard form, and the concept of area. Next, the authors reviewnumerous methods and applications of integral calculus,including: Mastering and applying the first and second fundamental theoremsof calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solveordinary differential equations With this book as their guide, readers quickly learn to solve abroad range of current problems throughout the physical sciencesand engineering that can only be solved with calculus. Examplesthroughout provide practical guidance, and practice problems andexercises allow for further development and fine-tuning of variouscalculus skills. Introduction to Integral Calculus is an excellentbook for upper-undergraduate calculus courses and is also an idealreference for students and professionals who would like to gain afurther understanding of the use of calculus to solve problems in asimplified manner.


Catalogue

Catalogue PDF

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Author: Naval Postgraduate School (U.S.)
Publisher:
ISBN:
Size: 65.10 MB
Format: PDF, ePub, Docs
Category : Naval education
Languages : en
Pages :
View: 4663

Book Description:


Introduction To Tensor Analysis And The Calculus Of Moving Surfaces

Introduction to Tensor Analysis and the Calculus of Moving Surfaces PDF

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Author: Pavel Grinfeld
Publisher: Springer Science & Business Media
ISBN: 1461478677
Size: 14.17 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 302
View: 5578

Book Description: This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.


Introduction To Integration

Introduction to Integration PDF

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Author: Hilary A. Priestley
Publisher: Oxford University Press
ISBN: 0198501242
Size: 18.63 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 306
View: 1755

Book Description: Introduction to integration provides a unified account of integration theory, giving a practical guide to the Lebesgue integral and its uses, with a wealth of illustrative examples and exercises. The book begins with a simplified Lebesgue-style integral (in lieu of the more traditional Riemann integral), intended for a first course in integration. This suffices for elementary applications, and serves as an introduction to the core of the book. The final chapters present selected applications, mostly drawn from Fourier analysis. The emphasis throughout is on integrable functions rather than on measure. The book is designed primarily as an undergraduate or introductory graduate textbook. It is similar in style and level to Priestley's Introduction to complex analysis, for which it provides a companion volume, and is aimed at both pure and applied mathematicians. Prerequisites are the rudiments of integral calculus and a first course in real analysis.


Mathematical Analysis

Mathematical Analysis PDF

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Author: S. C. Malik
Publisher: New Age International
ISBN: 9788122403237
Size: 65.91 MB
Format: PDF, ePub, Docs
Category : Mathematical analysis
Languages : en
Pages : 903
View: 6622

Book Description: The Book Is Intended To Serve As A Text In Analysis By The Honours And Post-Graduate Students Of The Various Universities. Professional Or Those Preparing For Competitive Examinations Will Also Find This Book Useful.The Book Discusses The Theory From Its Very Beginning. The Foundations Have Been Laid Very Carefully And The Treatment Is Rigorous And On Modem Lines. It Opens With A Brief Outline Of The Essential Properties Of Rational Numbers And Using Dedekinds Cut, The Properties Of Real Numbers Are Established. This Foundation Supports The Subsequent Chapters: Topological Frame Work Real Sequences And Series, Continuity Differentiation, Functions Of Several Variables, Elementary And Implicit Functions, Riemann And Riemann-Stieltjes Integrals, Lebesgue Integrals, Surface, Double And Triple Integrals Are Discussed In Detail. Uniform Convergence, Power Series, Fourier Series, Improper Integrals Have Been Presented In As Simple And Lucid Manner As Possible And Fairly Large Number Solved Examples To Illustrate Various Types Have Been Introduced.As Per Need, In The Present Set Up, A Chapter On Metric Spaces Discussing Completeness, Compactness And Connectedness Of The Spaces Has Been Added. Finally Two Appendices Discussing Beta-Gamma Functions, And Cantors Theory Of Real Numbers Add Glory To The Contents Of The Book.