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Advanced Calculus (4th Edition), by Wilfred Kaplan
Download Advanced Calculus (4th Edition), by Wilfred Kaplan
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This fourth edition offers a comprehensive overview of advanced calculus in a highly readable format. The book offers substantial coverage of vector and matrices, vector analysis, and partial differential equations. Vectors are introduced at the outset and serve at many points to indicate geometric and physical significance of mathematical relations. Numerical methods are touched on at various points because of their practical value and the insights they give about theory.
- Sales Rank: #1251009 in Books
- Published on: 1991-09-12
- Original language: English
- Number of items: 1
- Dimensions: 1.41" h x 6.65" w x 9.51" l, 2.43 pounds
- Binding: Hardcover
- 746 pages
Most helpful customer reviews
44 of 47 people found the following review helpful.
I adore the author
By Sen Peng Eu
Any student who is taking analysis/advanced calculus course should read chapter 2 of this book, especially if he is confused or is struggling on the excellent but relatively abstract/concise texts of Rudin, Apostal, Bartle, Marsden et al. I've never seen a book which can explain the concept of Jacobian and Inplicit function theory in such a clear way!!
18 of 18 people found the following review helpful.
great for engineering and non-theoretical science majors
By M. Rumore
I learned from this book during my sophomore year advanced calculus class. The best thing about this book -- answers to all the problems are included. What a novel idea -- answers! I can't speak for others, but I can still remember doing problem after problem from this book and knowing that I could always check my understanding, or lack understanding, of the material by checking my work against the answers.
As to why do I think this book is for engineers and non-theoretical science majors? Very simple, it does *not* cover real analysis as the books by Rudin, Shilov or Johnsonbaugh and Pfaffenberger (my favorite). These other books follow a very traditional approach -- axioms, lemmas, theorems, corollaries. Kaplan's book presents all the mathematics that an engineer, etc. will typically need and with a clear explanation. You won't find delta-epsilon proofs here, but you will find multi-variate calculus, vector differential and integral calculus, orthogonal functions and expansions (Fourier series), complex variables, and ODEs and PDEs. Everything is covered. The explanations are generally very good. There are examples, and of course, answers to the problems are included.
You can think of this book as a Schaum's Outline on Advanced Calculus, but with real explanations, not just statements. I'm not knocking Schaum's Outlines. I own several of them.
15 of 16 people found the following review helpful.
great didatic
By Francisco R. Conde
I study this book entirely in a calculus review. The points are:
1- The exposition is clear and didatic even in points difficults and delicates
2- The sections are short and with exercises in growing level of dificulty with much adequates hints
3- It's necessary to resolve all (or half all) exercises because there are many new stuff there
4- There are responses to all exercises with is good for self study (like mine)
5- There are very litlle typos
6- My only question is that the book would have more exercises
(I supply this doing exercises of other books like M.Boas)
So I recommend this book based in my (good) experience
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