The positive and the comparative forms

 The positive is the simple, most basic form of an adjective. To use it in a comparison you have to use other comparative phrases before and after the adjective,
such as "so ... wie" ("as ... as"), to express that living beings or objects share a similarity or have the same level of a quality or qualification.
Other comparative phrases in German include "genauso ... wie" ("exactly as ... as"), "gleich ... wie" ("as ... as") and "nicht so ... wie" ("not as ... as").
The two beings or things being compared are always in the same grammatical case.

so + adjective in its basic form + wie

Person/object 1     Comparative   phrase           Person/object 2
Dr. Anderson ist   so   gut   wie   die anderen Professoren.
Professor Meyer ist   genauso   gut   wie   Dr. Anderson.
Niederangelbach ist   nicht so   schön   wie   Leipzig.

The comparative form shows a difference between the living beings or objects being described. The degree of the adjective can be increased by adding the suffix -er:

Example:
schlecht — schlechter.

There are also irregular forms. The comparative form of "gut", for example, is "besser".

The comparative word "als" (than) comes after the adjective. In the comparative, the living beings or objects being compared share the same grammatical case.

Comparative (Endung -er) + als

Person/object 1     Comparative          Person/object 2
Harry ist   besser   als   Nick.
Dr. Anderson ist   schlechter   als   Professor Meyer.
Leipzig ist   schöner   als   Niederangelbach.

Higher, faster, more irregular!

Besides "gut" (good), there are other adjectives that have irregular forms in the comparative. Most of them end with the suffix -er, but their stem changes.
Take note of these adjectives because some of them are quite common!

Adjectives that take an umlaut: alt – älter, dumm – dümmer, groß – größer, hart – härter, jung – jünger, kalt – kälter, lang – länger, nah – näher, warm – wärmer ...

Adjectives with irregular degrees of comparison: gut – besser, hoch – höher, teuer – teurer, viel – mehr

 

More:

Just like an adjective in its basic form, a comparative adjective can precede the noun it modifies, in which case it is inflected:

Examples:
Ich habe eine bessere Idee!
Professor Meyer ist ein besserer Professor als Dr. Anderson.
Ich habe einen schlechteren Test als du.