Tag Archives: Calculus

The Calculus Integral (Thomson)

The Calculus Integral (beta 1.0, 2010), by Brian S. Thomson (PDF at classicalrealanalysis.info) New Online Books http://classicalrealanalysis.info/com/documents/T-CalculusIntegral-AllChapters-Portrait.pdf

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Vector Calculus (Corral)

Vector Calculus (electronic edition, 2013 or later), by Michael Corral (PDF with commentary at mecmath.net) New Online Books http://www.mecmath.net/

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Calculus I, II, and III (Marsden)

Calculus I, II, and III (second edition, with student guides and errata corrections; 6 volumes originally published New York: Springer-Verlag, 1985), by Jerrold E. Marsden and Alan Weinstein, contrib. by Frederick H. Soon (PDF files at Caltech) New Online Books … Continue reading

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Calculus for the Life Sciences (Cornette)

Calculus for the Life Sciences: A Modeling Approach (2 volumes, intended for different audiences; c2011-2013), by James L. Cornette and Ralph A. Ackerman (PDF files with commentary at Iowa States) New Online Books http://cornette.public.iastate.edu/CLS.html

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Student’s Guide to Calculus by J. Marsden and A. Weinstein (Soon)

Student’s Guide to Calculus by J. Marsden and A. Weinstein (3 volumes originally published New York: Springer-Verlag, 1985), by Frederick H. Soon, contrib. by Jerrold E. Marsden and Alan Weinstein (stable link) New Online Books http://onlinebooks.library.upenn.edu/webbin/book//lookupid?key=olbp64735

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Active Calculus (Boelkins)

Active Calculus (electronic edition, c2013), by Matthew R. Boelkins, contrib. by David Austin and Steven Schlicker (PDF files with commentary at gvsu.edu) New Online Books http://faculty.gvsu.edu/boelkinm/Home/Open_Calculus.html

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Advanced Calculus (Nickerson)

Advanced Calculus (Princeton, NJ et al.: D. Van Nostrand Co., c1959), by H. K. Nickerson, D. C. Spencer, and Norman Earl Steenrod (page images at HathiTrust) New Online Books

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Vector Calculus pdf

Vector Calculus TOC 1 Vectors in Euclidean Space 1.1 Introduction 1.2 Vector Algebra 1.3 Dot Product 1.4 Cross Product 1.5 Lines and Planes 1.6 Surfaces 1.7 Curvilinear Coordinates 1.8 Vector-Valued Functions 1.9 Arc Length 2 Functions of Several Variables 2.1 … Continue reading

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Introduction to Tensor Calculus and Continuum Mechanics

Introduction to Tensor Calculus and Continuum Mechanics TOC PART 1: INTRODUCTION TO TENSOR CALCULUS 1.1 INDEX NOTATION 1.2 TENSOR CONCEPTS AND TRANSFORMATIONS 1.3 SPECIAL TENSORS 1.4 DERIVATIVE OF A TENSOR 1.5 DIFFERENTIAL GEOMETRY AND RELATIVITY PART 2: INTRODUCTION TO CONTINUUM … Continue reading

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Lecture Notes on Multivariable Calculus

Lecture Notes on Multivariable Calculus by Jerry Shurman TOC 1 Results from One-Variable Calculus 1.1 The Real Number System 1.2 Foundational and Basic Theorems 1.3 Taylor’s Theorem Part I Multivariable Differential Calculus 2 Euclidean Space 2.1 Algebra: Vectors 2.2 Geometry: … Continue reading

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