Free VB.NET books

Programming VB .NET: A Guide For Experienced Programmers
Comprehensive, hands-on guide to the Visual Basic .NET programming language addressed to people with some programming background, although a background in Visual Basic, is not required. It can be downloaded from Apress free book section.

Introducing Microsoft Visual Basic 2005 for Developers
Free full VB.NET book by Microsoft. It includes chapters - Microsoft .NET Framework Primer for the Visual Basic Developer, Language Enhancements for Visual Basic 2005, Visual Studio 2005 Integrated Development Environment, Building Datacentric Applications, Constructing User Interfaces, Building Web Applications, Microsoft .NET Framework Enhancements and Deploying Applications.

Upgrading Microsoft Visual Basic 6.0 to Microsoft Visual Basic .NET
Free full VB.NET book by Microsoft. Upgrading Microsoft Visual Basic 6.0 to Microsoft Visual Basic .NET is the complete technical guide to upgrading Visual Basic 6 applications to Visual Basic .NET, covering all upgrade topics from APIs to ZOrders.

Visual Basic.NET
Visual Basic.NET book by Vijay Mukhi. It covers Classes, WinForms, Access Modifiers, Database Handling, XML and Exception Handling.

Murach's Beginning Visual Basic .NET

First 3 chapters are freely available from Murach's Beginning Visual Basic .NET. Chapter 1 introduces you to the .NET Framework and the integrated development environment. Chapter 2 teaches you the basics of designing, coding, and testing VB.NET applications. Chapter 3 gets you going with Visual Basic language elements like assignment statements, arithmetic and conditional expressions, nested If statements, and Select Case statements.