Friendly Introduction to Analysis

ISBN-10: 0130457965

ISBN-13: 9780130457967

Edition: 2nd 2004 (Revised)

List price: $117.80
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Description:

This book is designed to be an easily readable, intimidation-free guide to advanced calculus. Ideas and methods of proof build upon each other and are explained thoroughly. This is the first book to cover both single and multivariable analysis in such a clear, reader-friendly setting.Chapter topics cover sequences, limits of functions, continuity, differentiation, integration, infinite series, sequences and series of functions, vector calculus, functions of two variables, and multiple integration.For individuals seeking math fun at a higher level.
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Book details

List price: $117.80
Edition: 2nd
Copyright year: 2004
Publisher: Prentice Hall PTR
Publication date: 1/9/2004
Binding: Paperback
Pages: 600
Size: 6.80" wide x 9.10" long x 1.40" tall
Weight: 2.442
Language: English

Fundamentals
Sets and Subsets
Operations on Sets
Sequences
Properties of Integers
Matrices
Mathematical Structures
Logic
Propositions and Logical Operations
Conditional Statements
Methods of Proof
Mathematical Induction
Counting
Permutations
Combinations
Pigeonhole Principle
Elements of Probability
Recurrence Relations
Relations and Digraphs
Product Sets and Partitions
Relations and Digraphs
Paths in Relations and Digraphs
Properties of Relations
Equivalence Relations
Computer Representation of Relations and Digraphs
Operations on Relations
Transitive Closure and Warshall's Algorithm
Functions
Functions
Functions for Computer Science
Growth of Functions
Permutation Functions
Order Relations and Structures
Partially Ordered Sets
Extremal Elements of Partially Ordered Sets
Lattices
Finite Boolean Algebras
Functions on Boolean Algebras
Circuit Design
Trees
Trees
Labeled Trees
Tree Searching
Undirected Trees
Minimal Spanning Trees
Topics in Graph Theory
Graphs
Euler Paths and Circuits
Hamiltonian Paths and Circuits
Transport Networks
Matching Problems
Coloring Graphs
Semigroups and Groups
Binary Operations, Revisited
Semigroups
Products and Quotients of Semigroups
Groups
Products and Quotients of Groups
Languages and Finite-State Machines
Languages
Representations of Special Grammars and Languages
Finite-State Machines
Semigroups, Machines, and Languages
Machines and Regular Languages
Simplification of Machines
Groups and Coding
Coding of Binary Information and Error Detection
Decoding and Error Correction
Public Key Cryptology
Algorithms and Pseudocode
Additional Experiments in Discrete Mathematics
Answers to Odd-Numbered Exercises
Answers to Chapter Tests
Index
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