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         Differentiation:     more books (71)
  1. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order (Dover Books on Mathematics) by Keith B. Oldham, Jerome Spanier, 2006-04-28
  2. Schaum's Easy Outline: Calculus by Frank Ayres, Elliott Mendelson, 1999-10-11
  3. The Manga Guide to Calculus by Hiroyuki Kojima, Shin Togami, et all 2009-08-12
  4. Calculus I: Differentiation and Integration by Dan Hamilton, Linda Hamilton, 2002-02
  5. Variational Analysis and Generalized Differentiation I: Basic Theory (Grundlehren der mathematischen Wissenschaften) by Boris S. Mordukhovich, 2009-12-15
  6. The Differential and Integral Calculus: Containing Differentiation, Integration, Development, Series, Differential Equations, Differences, Summation, Equations ... Applications to Algebra, Plan by Augustus De Morgan, 2010-06-13
  7. Automatic Differentiation: Techniques and Applications (Lecture Notes in Computer Science) by L.B. Rall, 1981-09-30
  8. Computational Differentiation: Techniques Applications and Tools (Siam Proceedings in Applied Mathematics Series ; Vol. 89)
  9. Schaum's Outline of Calculus (Fourth Edition) by Elliott Mendelson, Frank Ayres, 1999-06-28
  10. Calculus for the Utterly Confused by Robert Oman, Daniel Oman, 1998-07-01
  11. An Introduction to Calculus: Differentiation II (An Introduction to Calculus) by ANON, 1992
  12. The differential and integral calculus: Containing differentiation, integration, development, series, differential equations, differences, summation, equations ... of the differential and integral calculus by Augustus De Morgan, 1842
  13. Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
  14. Topics in Differential Geometry: A New Approach Using D-Differentiation by Donal J. Hurley, Michael A. Vandyck, 2002-01-10

121. Yuri Netrusov's Home Page
University of Bristol. Functional Spaces;Partial differential equations; Spectral theory. Publications, projects.
http://www.maths.bris.ac.uk/~mayn/
Yuri Netrusov's Home Page
Lecturer in Pure Mathematics
Office: 3.12 Tel. 0117-9289811
E-mail address: Y.Netrusov@bristol.ac.uk
School of Mathematics, University of Bristol,
Clifton, Bristol, AVON, BS8 1TW, UK
Research interests
  • Functional Spaces.
  • Partial differential equations.
  • Spectral theory.
Recent publications
PhD Projects
Teaching

Back to the Pure Group Home Page.

122. Michiel Van Den Berg's Home Page
University of Bristol. Partial differential equations, in particular spectral geometry.
http://www.maths.bris.ac.uk/~mamvdb/

123. Fengbo Hang
Department of Mathematics, New York University. Subjects geometric analysis, nonlinear partial differential equations, geometric measure theory.
http://as.nyu.edu/object/FengboHang.html

124. Professor Erika Camacho's Home Page
Arizona State University. Applications of nonlinear differential equations collaboration with biologists and sociologists to bring more realism to mathematical models.
http://www.public.asu.edu/~etcamach/
Professor Erika T. Camacho
My Curriculum Vitae
Home
Teaching Research ...
Arizona State University (West Campus)

office: CLCC 275
e-mail: erika.camacho "at" asu "dot" edu
phone: (602)543-8156
fax: (602)543-3260
mailing address:
Mail Code 2352
P.O. BOX 37100
Phoenix, AZ 85069-7100 shipping address: 4701 W. Thunderbird Rd. Glendale, AZ 85306-4908 Read the SACNAS News interview with me from Spring 2007. Applied Mathematical Sciences Summer Institute (AMSSI) Read the newspaper article about AMSSI in La Opinion I completed my Ph.D. in Applied Mathematics in May 2003 at the Center for Applied Mathematics at Cornell University under the direction of Richard Rand . I attended Wellesley College for my undergraduate and received bachelor degrees in Economics and Mathematics. I owe a very special thanks to the Mellon Foundation and the Ford Foundation, for tremendous financial and professional support throughout my academic career (along with the Sloan Foundation Personal Gallery

125. Difference Equations To Differential Equations
By Dan Sloughter. Published in PS/PDF with applets under GPL.
http://math.furman.edu/~dcs/book/
Difference Equations to Differential Equations
An introduction to calculus
This server is no longer the main site for Difference Equations to Differential Equations . Follow this link for the current site. This server will have some downtime during June for maintenance. Each section of the text is in Portable Document Format (PDF). PDF viewers are available here and here A PostScript version may be found here (the old homepage). Difference Equations to Differential Equations was written with the help of Tex DVIPS xdvi PDFTeX ... Acrobat Reader ® and Mathematica A companion multi-variable calculus text, The Calculus of Functions of Several Variables , is available here For an alternative introduction to calculus, see Yet Another Calculus Text Answers for selected problems are available here Send e-mail to Dan Sloughter to report any errors.
Chapter 1: Sequences, limits, and difference equations
Calculus: areas and tangents
Applet: Area of a circle Applet: Tangent line for a parabola
Sequences The sum of a sequence Difference equations ... Nonlinear difference equations
Chapter 2: Functions and their properties
Functions and their graphs Trigonometric functions
Applet: Square wave approximation Applet: Sound wave approximation
Limits and the notion of continuity Continuous functions Some consequences of continuity
Chapter 3: Best affine approximations
Best affine approximations
Applet: Affine approximations
Best affine approximations, derivatives, and rates of change

126. FlexPDE Finite Element Model Builder For Partial Differential Equations
A general, script driven solution system for Partial differential equations, including equation interpretation, mesh generation, numerical solution and graphical output.
http://www.pdesolutions.com

127. Diffpack: Software For Finite Element Analysis And Partial Differential Equation
An object oriented development framework for the solution of partial differential equations. Free demo CD. Online ordering.
http://www.diffpack.com/
Diffpack
Numerical Software for Finite Element Analysis and Partial Differential Equations
Finite Element Analysis Partial Differential Equations Object Oriented Products

128. AUTO
The Continuation and Bifurcation Software for Ordinary Differential Equations. Topics include Bibliography, Documentation, and Download.
http://indy.cs.concordia.ca/auto/
Announcements What is AUTO? Evolution Distribution ... Lecture Notes
AUTO
SOFTWARE FOR CONTINUATION AND BIFURCATION PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS
This is the Home Page of the AUTO Web Site, established in January 1996.
ANNOUNCEMENTS
  • [February 14, 2010] Version 0.7 of AUTO-07p is available at SourceForge.
INTRODUCTION
AUTO is a software for continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent major contribution by several people, including Alan Champneys, Fabio Dercole, Thomas Fairgrieve, Yuri Kuznetsov, Bart Oldeman, Randy Paffenroth, Bjorn Sandstede, Xianjun Wang, and Chenghai Zhang. AUTO can do a limited bifurcation analysis of algebraic systems of the form f(u,p) = 0, f,u in R n and of systems of ordinary differential equations of the form u'(t) = f(u(t),p), f,u in R n subject to initial conditions, boundary conditions, and integral constraints. Here p denotes one or more parameters. AUTO can also do certain continuation and evolution computations for parabolic PDEs. It also includes the software HOMCONT for the bifurcation analysis of homoclinic orbits. AUTO is quite fast and can benefit from multiple processors; therefore it is applicable to rather large systems of differential equations. For further information and details, see the

129. Lee Lady: Calculus For The Intelligent Person
A set of downloadable lectures.
http://www.math.hawaii.edu/~lee/calculus/#Series-Sol
Calculus for the Intelligent Person
Lee Lady
For years, I used to tell people that I wished someone would write Calculus for Dummies , using the style of that popular series. Namely, I wanted a book written by someone who actually knows how to write how-to books instead of by a mathematician writing something that will make sense to other mathematicians. Then one day in the bookstore, I discovered that someone had finally done this. But looking through it, I saw that it was not what I had hoped for at all. Although certainly more readable then most calculus textbooks (which, I must say, is certainly not saying a lot), and probably very helpful for many students (see the reviews on Amazon Calculus For Dummies seemed to simply take the standard approach to calculus and present it in a more intelligible fashion without offering much more real insight. The notes that follow are not addressed to beginning students, and certain not to dummies. They are addressed to students who have already seen these concepts presented in class, and have probably done quite a few homework problems, but found that somehow they still didn't see what the basic ideas were. These are thoughts that occurred to me after I had presented these concepts on the blackboard many many times, and then one day asked myself, "Yeah, fine, but what is this actually saying?" Many books and a lot of professors do a fine job of explaining on intuitive grounds the standard definition of the derivative of a function in terms of a limit. For my part, for most of my life I preached to students that in fact the concept of the limit is the foundation for all of calculus.

130. Electronic Journal Of Differential Equations
Full text available in DVI, PDF, PS and TeX formats. Searchable index.
http://ejde.math.txstate.edu/
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131. Nonlinear Differential Equations And Applications NoDEA
Tables of contents from vol.4 (1997) on. Full text to subscribers.
http://www.springer.com/birkhauser/mathematics/journal/30
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132. Differential Geometry Page
Contains several figures which are the result of easy codes using Mathematica, including Enneper s surface.
http://math.bu.edu/people/carlosm/Diffeo.html
Differential Geometry Page
This page contains a few figures which are the result of easy codes using Mathematica.

133. Notes For The Course In Differential Geometry
Lecture notes for a course at the Weizmann Institute of Science by Sergei Yakovenko. Chapters in DVI.
http://www.wisdom.weizmann.ac.il/~yakov/Geometry/
Lecture notes
for the course in
Differential Geometry
Guided reading course for winter 2005/6*
The textbook: F. Warner, Foundations of Differentiable Manifolds and Lie Groups , Chapters 1, 2 and 4. Take-home exam at the end of each semester (about 10-15 problems for four weeks of quiet thinking). If you need additional reading, consider W. M. Boothby, Introduction to Differentiable Manifolds and Riemannian Geometry (Chapters I-VI) *Books are in DejaVu format ( download the plugin if you didn't do that yet!)
Besides, here are some fossils...
Scans of my scrap notes 2005
You should treat them with all due disrespect: errors, omissions, etc are highly likely. Lecture 2 Lecture 3 Lectures 4-5 Lectures 6-8 ... Lectures 9-10
Exam ( Spring semester, 2005).
Due date: July 31, 2005. Good luck!
Bonus problem: Solve the anagram
Elementary if it forged.
Lecture notes from the course first given in WIS in 1992-1993 academic year and several times recycled since then.
Mostly they constitute a collection of definitions, formulations of most important theorems and related problems for self-control. Since that time, in 1996, I changed the order of exposition. Therefore the logical structure is not the same. Anyhow, I hope that these notes can still be useful for self-control. The general rule is always the same:

134. Notes On Differential Geometry By B. Csikós
Notes by Bal zs Csik s. Chapters in PostScript.
http://www.cs.elte.hu/geometry/csikos/dif/dif.html
Differential Geometry Budapest Semesters in Mathematics Lecture Notes by Balázs Csikós
CONTENTS Unit 1. Basic Structures on R n , Length of Curves. Addition of vectors and multiplication by scalars, vector spaces over R, linear combinations, linear independence, basis, dimension, linear and affine linear subspaces, tangent space at a point, tangent bundle; dot product, length of vectors, the standard metric on R n ; balls, open subsets, the standard topology on R n , continuous maps and homeomorphisms; simple arcs and parameterized continuous curves, reparameterization, length of curves, integral formula for differentiable curves, parameterization by arc length. Unit 2. Curvatures of a Curve Convergence of k-planes, the osculating k-plane, curves of general type in R n , the osculating flag, vector fields, moving frames and Frenet frames along a curve, orientation of a vector space, the standard orientation of R n , the distinguished Frenet frame, Gram-Schmidt orthogonalization process, Frenet formulas, curvatures, invariance theorems, curves with prescribed curvatures. Unit 3.

135. CAST: Differentiated Instruction And Implications For UDL Implementation
by T Hall Related articles
http://www.cast.org/publications/ncac/ncac_diffinstructudl.html
CAST: Universal Design for Learning
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Differentiated Instruction and Implications for UDL Implementation
By Tracey Hall, Nicole Strangman, and Anne Meyer Note: Updated on 11/2/09 Introduction Definition Identifying Components/Features Evidence of Effectiveness ... Downloads
Introduction
This report on differentiated instruction and UDL begins with an introduction to differentiated instruction in which we provide the definition, a sampling of considerations and curriculum applications, and research evidence for effectiveness. The second part of the paper, the discussion moves to UDL applications of differentiated instruction. UDL is a theoretical approach that is based on research from the neurosciences and effective teaching practices. This portion develops an understanding of UDL and proceeds to identify the theoretical and teacher practice levels. Our document concludes with general guidelines for the implementation of UDL and a list of web resources that provide further information about differentiated instruction. The literature review in this paper is also available as a stand alone document, with annotated references. Look for it on the Effective Classrooms Practices page of the National Center for Accessing the General Curriculum's web site

136. Differential Geometry And Physics
Lecture notes by Gabriel Lugo.
http://people.uncw.edu/lugo/COURSES/DiffGeom/dg1.htm
Lectures Notes by Gabriel Lugo
University of North Carolina at Wilmington
Differential Geometry and Physics
I. Vectors and Curves
1.1 Tangent Vectors
1.2 Curves
1.3 Fundamental Theorem of Curves II. Differential forms
2.1 1-Forms
2.2 Tensors and Forms of Higher Rank
2.3 Exterior Derivatives
2.4 The Hodge-* Operator III. Connections
3.1 Frames
3.2 Curvilinear Coordinates 3.3 Covariant Derivative 3.4 Cartan Equations IV Surfaces in R 4.1 Manifolds 4.2 First Fundamental form 4.3 Second Fundamental Form 4.4 Curvature Full set (DVI 228K) Full set (PDF 340Kb) Return to Courses home page Gabriel G. Lugo, lugo@uncw.edu Last updated April 10, 2004

137. Differential Geometry
Lecture notes for an honors course at the University of Adelaide by Michael Murray in HTML with GIFs.
http://www.maths.adelaide.edu.au/michael.murray/dg_exercises.pdf

138. Differential Geometry
A textbook by Ruslan Sharipov (English and Russian versions).
http://arxiv.org/PS_cache/math/pdf/0412/0412421v1.pdf

139. EDGE
Bulgarian node of the European Differential Geometry Endeavour.
http://www.fmi.uni-sofia.bg/ivanovsp/edge.html
THE EDGE MEMBERS
  • Bogdan Alexandrov mail: alexandrovbt@fmi.uni-sofia.bg
  • Vestislav Apostolov mail: ... Florin.Belgun@math.uni-leipzig.de
  • Vasile Brinzanescu mail: brinzane@imar.ro
  • Johan Davidov mail: jtd@math.bas.bg
  • Catalin Gherghe mail: gherghe@adonix.cs.unibuc.ro
  • Gueo Grantcharov mail: ... geogran@math.uconn.edu
  • Stere Ianus mail: Stere.Ianus@imar.ro
  • Stefan Ivanov mail: ... ivanovsp@fmi.uni-sofia.bg
  • Oleg Muskarov mail: muskarov@math.bas.bg
  • Liviu Ornea mail: ...
    Back
  • 140. Exterior Differential Calculus And Symbolic Matrix Algebra @ Mathematica
    Freeware enables Mathematica to carry out calculations with differential forms.
    http://www.inp.demokritos.gr/~sbonano/EDC/ExteriorDifferentialCalculus.html
    Exterior Differential Calculus
    and
    Symbolic Matrix Algebra @ Mathematica
    Overview
    This package enables Mathematica to carry out calculations with differential forms. It defines the two basic operations - Exterior Product (Wedge) and Exterior Derivative (d) - in such a way that: (1) they can act on any valid Mathematica expression
    (2) they allow the use of any symbols to denote differential forms
    (3) input - output notation is as close as possible to standard usage Another use of this package is for doing algebraic / differential calculations with "symbolic matrices", i.e., with symbols satisfying special multiplication rules, which can be interpreted as representing matrices, quantum operators, Lie algebra generators, Maurer-Cartan forms etc. In particular, it allows user-controlled application of trace identities and the Cayley-Hamilton theorem. Any symbol can be defined to be a "symbolic matrix", i.e., to have special multiplication properties. But in this case the user must give the extra multiplication ( Wedge ) rules that define his/her problem. This is illustrated with several examples.

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