Solving Ordinary Differential Equations I by Wanner

Authors: Hairer, Ernst, Nørsett, Syvert P., Wanner, Gerhard

           "This is the revised version of the first edition of Vol. I published in 1987. ….Vols. I and II (SSCM 14) of Solving Ordinary Differential Equations together are the standard text on numerical methods for ODEs. ...This book is well written and is together with Vol. II, the most comprehensive modern text on numerical integration methods for ODEs. It may serve a a text book for graduate courses, ...and also as a reference book for all those who have to solve ODE problems numerically." Zeitschrift für Angewandte Mathematik und Physik

"… This book is a valuable tool for students of mathematics and specialists concerned with numerical analysis, mathematical physics, mechanics, system engineering, and the application of computers for design and planning…" Optimization

"… This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial." Mathematics and Computers

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A First Course in Complex Analysis with Applications by Zill

              A First Course In Complex Analysis With Applications Limits Theoretical Coverage To Only What Is Necessary, And Conveys It In A Student-Friendly Style. Its Aim Is To Introduce The Basic Principles And Applications Of Complex Analysis To Undergraduates Who Have No Prior Knowledge Of This Subject. Contents Of The Book Include The Complex Number System, Complex Functions And Sequences, As Well As Real Integrals; In Addition To Other Concepts Of Calculus, And The Functions Of A Complex Variable. This Text Is Written For Junior-Level Undergraduate Students Who Are Majoring In Math, Physics, Computer Science, And Electrical Engineering.

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Commutative Algebra with a View Toward Algebraic Geometry

        Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. Novel results and presentations are scattered throughout the text.

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Foxit Reader (PDF Reader)

View, create, convert, annotate and print

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Foxit Reader is a lightweight and lightning quick utility for reading PDF files. PDF (Portable Document Format) is now one of the most ubiquitous document formats on the net. The problem is that Adobe Reader is both bulky and slow.

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Foxit Reader's interface been designed with ease of use in mind. You have several toolbars available, which you can show or hide at your will and which give you access to all the available utilities: zoom, text selection, image snapshot, search tool, rotation or full screen view, among others. There is a small ad in the upper right corner, but you can deactivate it by going to the View menu and deselecting the Advertisement option.

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Elementary Geometry of Algebraic Curves

Here is an introduction to plane algebraic curves from a geometric viewpoint, designed as a first text for undergraduates in mathematics, or for postgraduate and research workers in the engineering and physical sciences. The book is well illustrated and contains several hundred worked examples and exercises. From the familiar lines and conics of elementary geometry the reader proceeds to general curves in the real affine plane, with excursions to more general fields to illustrate applications, such as number theory. By adding points at infinity the affine plane is extended to the projective plane, yielding a natural setting for curves and providing a flood of illumination into the underlying geometry. A minimal amount of algebra leads to the famous theorem of Bezout, while the ideas of linear systems are used to discuss the classical group structure on the cubic.

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Elements of the Theory of Functions and Functional Analysis

Originally published in two volumes, this advanced-level text is based on courses and lectures given by the authors at Moscow State University and the University of Moscow.

Reprinted here in one volume, the first part is devoted to metric and normal spaces. Beginning with a brief introduction to set theory and mappings, the authors offer a clear presentation of the theory of metric and complete metric spaces. The principle of contraction mappings and its applications to the proof of existence theorems in the theory of differential and integral equations receives detailed analysis, as do continuous curves in metric spaces — a topic seldom discussed in textbooks.

Part One also includes discussions of other subjects, such as elements of the theory of normed linear spaces, weak sequential convergence of elements and linear functionals, adjoint operators, and linear operator equations. Part Two focuses on an exposition of measure theory, the Lebesque interval and Hilbert Space. Both parts feature numerous exercises at the end of each section and include helpful lists of symbols, definitions, and theorems.

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Smad Antivirus

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Android Studio

Android Studio

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Android Studio provides the fastest tools for building apps on every type of Android device.

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Android Studio's project wizards make it easier than ever to add code in a new project.

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Adobe Photoshop

Adobe Photoshop is a raster graphics editor developed and published by Adobe Systems for macOS and Windows.

Photoshop was created in 1988 by Thomas and John Knoll. Since then, it has become the de facto industry standard in raster graphics editing, such that the word "photoshop" has become a verb as in "to Photoshop an image," "photoshopping" and "photoshop contest", though Adobe discourages such use. It can edit and compose raster images in multiple layers and supports masks, alpha compositing and several color models including RGB, CMYK, CIELAB, spot color and duotone. Photoshop has vast support for graphic file formats but also uses its own PSD and PSB file formats which support all the aforementioned features. In addition to raster graphics, it has limited abilities to edit or render text, vector graphics (especially through clipping path), 3D graphics and video. Photoshop's feature set can be expanded by Photoshop plug-ins, programs developed and distributed independently of Photoshop that can run inside it and offer new or enhanced features.

Photoshop's naming scheme was initially based on version numbers. However, in October 2002, following the introduction of Creative Suite branding, each new version of Photoshop was designated with "CS" plus a number; e.g., the eighth major version of Photoshop was Photoshop CS and the ninth major version was Photoshop CS2. Photoshop CS3 through CS6 were also distributed in two different editions: Standard and Extended. In June 2013, with the introduction of Creative Cloud branding, Photoshop's licensing scheme was changed to that of software as a service rental model and the "CS" suffixes were replaced with "CC". Historically, Photoshop was bundled with additional software such as Adobe ImageReady, Adobe Fireworks, Adobe Bridge, Adobe Device Central and Adobe Camera RAW.

Alongside Photoshop, Adobe also develops and publishes Photoshop Elements, Photoshop Lightroom, Photoshop Express and Photoshop Touch. Collectively, they are branded as "The Adobe Photoshop Family". It is currently a licensed software.

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Introduction to Ordinary Differential Equations by [Shepley L. Ross]

This revised introduction to the basic methods, theory and applications of elementary differential equations employs a two part organization. Part I includes all the basic material found in a one semester introductory course in ordinary differential equations. Part II introduces students to certain specialized and more advanced methods, as well as providing a systematic introduction to fundamental theory.

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Rufus: Make bootable USB

Create bootable USB drives the easy way

Rufus is a utility that helps format and create bootable USB flash drives, such as USB keys/pendrives, memory sticks, etc.

It can be especially useful for cases where:

• you need to create USB installation media from bootable ISOs (Windows, Linux, UEFI, etc.)
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• you need to flash a BIOS or other firmware from DOS
• you want to run a low-level utility

Despite its small size, Rufus provides everything you need!

Oh, and Rufus is fast. For instance it's about twice as fast as UNetbootin, Universal USB Installer or Windows 7 USB download tool, on the creation of a Windows 7 USB installation drive from an ISO. It is also marginally faster on the creation of Linux bootable USB from ISOs.

A non exhaustive list of Rufus supported ISOs is also provided at the bottom of this page.

System Requirements:

Windows XP or later, 32 or 64 bit doesn't matter. Once downloaded, the application is ready to use.

I will take this opportunity to express my gratitude to the translators who made it possible for Rufus, as well as this webpage, to be translated in various languages. If you find that you can use Rufus in your own language, you should really thank them!

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Windows 7

If you need to install or reinstall Windows 7 you can use this page to download a disc image (ISO file) to create your own installation media using either a USB flash drive or a DVD.
Before you begin

Make sure you have:
Your Windows product key (xxxxx-xxxxx-xxxxx-xxxxx-xxxxx). Learn more.
An internet connection (internet service provider fees may apply).
Sufficient data storage available on a computer, USB or external drive for the download.
A blank USB or DVD (and DVD burner) with at least 4 GB of space if you want to create media. We recommend using a blank USB or blank DVD, because any content on it will be deleted.
Read the System Requirements.
For Enterprise editions please visit the Volume Licensing Service Center.
Follow these steps to download Windows 7

This product requires a valid product activation key for download. Enter the 25 character product key that came with your product purchase in the field below. Your product key is located inside the box that the Windows DVD came in, on the DVD or in a confirmation e-mail that shows you purchased Windows.
After the product key is verified, select a product language from the menu.
Select either 32-bit or 64-bit version to download. If both are available, you will receive download links for both. Not sure which one? See the FAQ page for more information on how to determine the version(s) you need.
Enter product key

Download 32bit                        Download 64bit