شابک
شابک
9780817683856
شماره کتابشناسی ملی
کد کشور
IR
شماره
EN-52489
زبان اثر
زبان متن نوشتاري يا گفتاري و مانند آن
انگلیسی
کشور محل نشر یا تولید
کشور محل نشر
IR
عنوان و نام پديدآور
عنوان اصلي
New Foundations in Mathematic
نام عام مواد
[Book]
ساير اطلاعات عنواني
:The Geometric Concept of Number
نام نخستين پديدآور
/ by Garret Sobczyk
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Boston
نام ناشر، پخش کننده و غيره
: Birkh?nuser Boston :Imprint: Birkh?nuser,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
XIV, 370 p. 55 illus., 32 illus. in color., online resource.
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. The book begins with a discussion of modular numbers (clock arithmetic) and modular polynomials. This leads to the idea of a spectral basis, the complex and hyperbolic numbers, and finally to geometric algebra, which lays the groundwork for the remainder of the text. Many topics are presented in a new light, including: * vector spaces and matrices; * structure of linear operators and quadratic forms; * Hermitian inner product spaces; * geometry of moving planes; * spacetime of special relativity; * classical integration theorems; * differential geometry of curves and smooth surfaces; * projective geometry; * Lie groups and Lie algebras. Exercises with selected solutions are provided, and chapter summaries are included to reinforce concepts as they are covered. Links to relevant websites are often given, and supplementary material is available on the author's website. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.
متن يادداشت
1 Modular Number Systems -- 2 Complex and Hyperbolic Numbers -- 3 Geometric Algebra -- 4 Vector Spaces and Matrices -- 5 Outer Product and Determinants -- 6 Systems of Linear Equations -- 7 Linear Transformations on R
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Algebra
موضوع مستند نشده
Group theory
موضوع مستند نشده
Matrix theory
موضوع مستند نشده
Topological Groups
موضوع مستند نشده
Mathematical physics
موضوع مستند نشده
Engineering mathematics
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )
مستند نام اشخاص تاييد نشده
Sobczyk, Garret.
نام شخص - ( مسئولیت معنوی درجه دوم )
مستند نام اشخاص تاييد نشده
SpringerLink (Online service)
مبدا اصلی
کشور
ایران
دسترسی و محل الکترونیکی
نام ميزبان
9780817683849.pdf
شماره دسترسي
عادی
اطلاعات مختصر
عادی
تاريخ و ساعت مذاکره و دسترسي
9780817683849.pdf
نوع فرمت الکترونيکي
متن
وضعیت فهرست نویسی
وضعیت فهرست نویسی
old catalog
وضعیت انتشار
فرمت انتشار
e
اطلاعات رکورد کتابشناسی
نوع ماده
BL
پیشوند ISBD اعمال شده است
1
اطلاعات دسترسی رکورد
سطح دسترسي
a
تكميل شده
Y
