Download Ebook Advanced Calculus

Tadi fisika. sekarang matematika.... Ini mrupakan ebook mengenai kalkulus... apa itu kalkulus? (ane jg gk ngerti...) Menurut wikipedia, calculus itu (Bahasa Latin: calculus, artinya "batu kecil", untuk menghitung) adalah cabang ilmu matematika yang mencakup limit, turunan, integral, dan deret takterhingga. Kalkulus adalah ilmu mengenai perubahan, sebagaimana geometri adalah ilmu mengenai bentuk dan aljabar adalah ilmu mengenai pengerjaan untuk memecahkan persamaan serta aplikasinya. Kalkulus memiliki aplikasi yang luas dalam bidang-bidang sains, ekonomi, dan teknik; serta dapat
memecahkan berbagai masalah yang tidak dapat dipecahkan dengan aljabar elementer.
Kalkulus memiliki dua cabang utama, kalkulus diferensial dan kalkulus integral yang saling berhubungan melalui teorema dasar kalkulus. Pelajaran kalkulus adalah pintu gerbang menuju pelajaran matematika lainnya yang lebih tinggi, yang khusus mempelajari fungsi dan limit, yang secara umum dinamakan analisis matematika.

Deskripsi buku

Advanced CalculusAuthor: D. V. WidderPublisher: D. Van Nostrand Company LtdDjVU format | 448 page | 17,8mb | English language | ASIN B00005VAZ0
Classic text leads from elementary calculus into more theoretic problems. Precise approach with definitions, theorems, proofs, examples and exercises. Topics include partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Numerous graded exercises with selected answers. 1961 edition.

Reviewer:

I bought this textbook as a supplementary resource book for an advanced calculus class I once took although I ended up using it for a Differential Equations II class instead (in particular the partial differential equation and fourier series sections). This book does not present proofs as one might expect from many of today's Advanced Calculus classes. It does not present abstract theorems but rather applied Calculus and Differential Equations. You will not find logical connectives, quantifiers, techniques of proofs, set operations, induction, or completeness axioms in this book. What you will find is partial differentiation, line and surface integrals, definite integrals, fourier series, infinite series, etc. Electrical and Computer Engineers will find that they may benefit from the Vector, Fourier Series, and Laplace Transform chapters of this book. Physics majors are more likely to profit from the chapters on Partial Differentiation and Fourier Series.

Here's the textbook's chapter titles: 1) Partial Differentiation, 2) Vectors, 3) Differential Geometry', 4) Applications of Partial Differentation, 5) Stieltjes Integral, 6) Multiple Integrals, 7) Line and Surface Integrals, 8) Limits and Indeterminate Forms, 9) Infinite Series, 10) Convergence of Improper Integrals, 11) The Gamma Function. Evaluation of Definite Integrals, 12) Fourier Series, 13) The Laplace Transform, 14) Applications of the Laplace Transform.

The book may be considered as being written in the ole' school style. It was written by a former Professor of Mathematics at Harvard and was first printed in 1947. The relatively low cost of the textbook may be attributed to it not having been `updated' for a while, being devoid of any color, and being softbound. It has some worked out examples but focuses more on established theorems and lemmas to solve problems. The book is fairly well organized and is overall a good reference book.
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