how to arrive and give text box data in mvc

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.NET

MVC

partial-view

Controller:

  public ActionResult Create(BookCreat book)
        {
            if (ModelState.IsValid)
            {
                BookShelfEntities bse = new BookShelfEntities();
                BookCreat newBook = new BookCreat();
                newBook.Id = book.Id;
                newBook.BookName = book.BookName;
                newBook.BookAuthour = book.BookAuthour;
                newBook.ISBN = book.ISBN;
                bse.BookCreat.Add(newBook);
                bse.SaveChanges();
                return RedirectToAction("Index");

            }

            return View(book);
        }
  
    }
}

Partial:

<fieldset>
        <div id="partialdiv">
            <p>Partial</p>
            <div class="editor-label">
                @Html.LabelFor(model => model.Id)
            </div>
            <div class="editor-field">
                @Html.EditorFor(model => model.Id)
                @Html.ValidationMessageFor(model => model.Id)
            </div>
            <div class="editor-label">
                @Html.LabelFor(model => model.BookName)
            </div>
            <div class="editor-field">
                @Html.EditorFor(model => model.BookName)
                @Html.ValidationMessageFor(model => model.BookName)
            </div>

            <div class="editor-label">
                @Html.LabelFor(model => model.BookAuthour)
            </div>
            <div class="editor-field">
                @Html.EditorFor(model => model.BookAuthour)
                @Html.ValidationMessageFor(model => model.BookAuthour)
            </div>

            <div class="editor-label">
                @Html.LabelFor(model => model.ISBN)
            </div>
            <div class="editor-field">
                @Html.EditorFor(model => model.ISBN)
                @Html.ValidationMessageFor(model => model.ISBN)
            </div>
      
                <input id="partialSave" type="submit" value="Create" />
            
        </div>
       </fieldset>

<script>

my simple code

           $(function () {
                $("#partialSave").click(function (e) {
                    e.preventDefault();
                    alert("Partial alert");
                    var book = {
                        Id: $("#Id").val(),
                        BookName: $("#BookName").val(),
                        BookAuthour: $("#BookAuthour").val(),
                        ISBN: $("#ISBN").val(),
                    };
                    $.ajax({
                      type: "POST",
                      url: "@Url.Action("Create", "Default1")",
                        data: JSON.stringify(book),
                        dataType: "json",
                      contentType: "application/json;charset=uft-8",                                         success: function () {
                          alert("succes");
                      },
                      error: function () {
                          alert("hata");
                      }
                  });
                  });
            });
</script>

this is my ajax and simple code but opject didnt give any data and it try to control only null how can i fix it?
How can give the text boxes value i cant solve it how can solve its promlem