I can confirm that they are different books. I own the one you linked, which is J-E and covers roughly the same content as the Basic Dictionary of Japanese Grammar. Pro: No romaji. Con: Very basic descriptions. Overall, the dictionary series is better.
Part 2 explains various Japanese grammar points from the basics, such as particles, counters and conjugations. Everything a newcomer to Japanese needs to know is laid out in simple language, making this a great guide for those just starting out on their Japanese journey.
Many Japanese teachers recommend this book to their students, and for good reason. This one-stop shop for all things Japanese grammar covers 600+ basic grammar points and gives in-depth explanations on every possible usage of each term.
You can just pick one of this dictionary. But if you have budget, we recommend both. The dictionary of Basic Japanese grammar is more serious and have a more complete list, but Understanding Basic Grammar is easier to read and cover basic conjugation such as V-ãã form, V-ãªã form, etc.
Fundamentals of Japanese Grammar: Comprehensive Acquisition, by Yuki Johnson, is an extensive and thorough explanation of crucial Japanese grammar in English and the culmination of years of teaching and research. Informed by the work of eminent linguist Susumu Kuno, it is designed for students who have studied basic Japanese grammar and wish to better organize their knowledge and expand it in greater depth and at a higher level. Its organization presents a holistic picture of Japanese grammar for the benefit of learners and is distinctive in that grammar items are reorganized in terms of specific grammatical categories, such as particles, te-form compounds, dictionary-form compounds, stem-form compounds, passive constructions, conditional sentences, and so forth. The author offers a thorough discussion of various pragmatic constraints illustrated with sample sentences, dialogues, and essays that aid in understanding the structure and use of the language from a cultural perspective.
Another book I found indispensible was Handbook of Japanese Grammar, by Masahiro Tanimori (Tuttle), still in print. It is a dictionary style grammar reference designed not to teach systematic grammar rules, but rather the way the rules --and a variety of idiomatic constructions -- function in actual usage. The book was written "for the non-native speaker and user of Japanese, rather than the student of Japanese."
You really should learn more about Japanese grammar and what the basic terms mean. Japanese sentence construction is very different from English and uses some substantially different concepts, so you cannot just apply English terms directly to all Japanese words without understanding how some of the uniquely Japanese aspects actually work. If you do not know what "particle" means, which is a fairly basic part of Japanese grammar, then it makes it very difficult to actually answer your question.
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