It's common to put an additional @interface that defines a category containing private methods:
Person.h:
@interface Person
{
    NSString *_name;
}
@property(readwrite, copy) NSString *name;
-(NSString*)makeSmallTalkWith:(Person*)person;
@end
Person.m:
@interface Person () //Not specifying a name for the category makes compiler checks that these methods are implemented.
-(void)startThinkOfWhatToHaveForDinner;
@end
@implementation Person
@synthesize name = _name;
-(NSString*)makeSmallTalkWith:(Person*)person
{
    [self startThinkOfWhatToHaveForDinner];
    return @"How's your day?";
}
-(void)startThinkOfWhatToHaveForDinner
{
}
@end
The 'private category' (the proper name for a nameless category is not 'private category', it's 'class extension') .m prevents the compiler from warning that the methods are defined. However, because the @interface in the .m file is a category you can't define ivars in it.
Update 6th Aug '12: Objective-C has evolved since this answer was written:
- ivarscan be declared in a class extension (and always could be - the answer was incorrect)
- @synthesizeis not required
- ivarscan now be declared in braces at the top of- @implementation:
that is,
@implementation { 
     id _ivarInImplmentation;
}
//methods
@end