The communications technology of the public Internet, local area networks (LANs) and most wide area networks (WANs).  The Internet Protocol (IP) is part of the TCP/IP protocol suite, and the terms "IP network" and "TCP/IP network" are synonymous.
Packet Switching
The Internet uses a packet-switched architecture, in which data are broken up into smaller "packets," with each packet containing a source address and destination address.  Internet protocol (IP) packets are handed over to a data link layer protocol, for the physical transmission to the next node in the network path.
IP is the Network Layer
While "IP" refers to the entire TCP/IP protocol suite, "IP layer" refers to just the network-to-network part, occupying layer 3 in the "protocol stack" (see below).  To learn about IP networking, see 
TCP/IP and 
TCP/IP abc's.  See 
OSI model, 
IP address and 
IP on Everything.
The TCP/IP "Stack"
IP layer 3 resides in the middle of the TCP/IP stack.  It accepts packets from the upper layer TCP or UDP protocols and hands them to a lower layer data link protocol.  Within a local network, the data link protocol is typically Ethernet.  Within the public Internet, the data link protocols are SONET, ATM, frame relay and Carrier Ethernet.
The Protocols
Following are the primary standards that keep the Internet running:
  Protocol      Purpose
  TCP/IP   Network packet transmission
     TCP   Reliable delivery
     UDP   Unreliable delivery
     IP    Network to network
  HTTP     Web transmission
  HTTPS    Secure Web transmission
  HTML     Web page formatting
  SMTP     Email
  FTP      File transfer
  DNS      Domain name management
  SNMP     Network management
  Telnet   Remote execution
  OSPF     Routing protocol
  RIP      Routing protocol
  ICMP     Control messages
  DHCP     Assign IP addresses
  ARP      Find MAC addresses
  RTP      Real-time transmission
  RTSP     Real-time transmission + QoS