TAILIEUCHUNG - Ebook A transition to advanced mathematics (7th edition): Part 1

(BQ) Part 1 book "A transition to advanced mathematics" has contents: Propositions and connectives, propositions and connectives, quantifiers, basic proof methods I, additional examples of proofs, basic concepts of set theory, equivalent forms of induction, cartesian products and relations,.and other contents. | 62025_10_front 4/22/10 11:09 PM Page 1 Transition to Advanced Mathematics, 7th Edition Sections and Prerequisites Chapter 6 Chapter 5 Chapter 7 , , , , , , , , , , , , Chapter 4 , , , Chapter 3 , , Chapter 2 , , , , Chapter 1 , , , , , Preface to the Student Core Copyright 2011 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 4/22/10 3:12 AM Page i A TRANSITION TO ADVANCED MATHEMATICS Copyright 2011 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 4/22/10 3:12 AM Page iii S E V E N T H E D I T I O N A TRANSITION TO ADVANCED MATHEMATICS Douglas Smith University of North Carolina Wilmington Maurice Eggen Trinity University Richard St. Andre Central Michigan University Australia • Brazil • Japan • Korea • Mexico • Singapore • Spain • United Kingdom • United States Copyright 2011 Cengage Learning, Inc. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. 4/22/10 3:12 AM Page iv A Transition to Advanced Mathematics, 7th Edition Douglas Smith, Maurice Eggen, and Richard St. Andre Publisher: Richard Stratton Senior Sponsoring Editor: Molly Taylor Associate Editor: Daniel Seibert Editorial Assistant: Shaylin Walsh Senior Marketing Manager: Jennifer Pursley Jones Marketing Communications Manager: Mary Anne Payumo Marketing Coordinator: Erica O’Connell Content Project Manager: Alison Eigel Zade Art Director: Jill Ort Text Permissions Account Manager: Margaret Chamberlain-Gaston Photo Permissions Account Manager: Don Schlotman Senior Print Buyer: Diane Gibbons Production Service: Elm Street Publishing Services Compositor: Integra Software Services, Inc. © .

• Toán học
• Advanced mathematics
• A transition to advanced mathematics
• Basic proof methods I
• Additional examples of proofs
• Basic concepts of set theory
• Cartesian products
• Advanced engineering mathematics
• Engineering mathematics
• Advanced engineering
• Ordinary differential equations
• Power series solutions
• The eigenvalue problem
• Vectors in 3 space
• Advanced mathematics and mechanics applications using MATLAB
• Mechanics applications using MATLAB
• Elementary aspects
• Numerical differentiation
• General cross section
• Bending analysis of beams
• Partial differential equations
• Infinite sets
• Countable sets
• The ordering of cardinal numbers
• Algebraic structures
• First Order ODEs
• Second Order linear ODEs
• Qualitative methods
• Laplace transforms
• Complex numbers
• Complex integration
• Numeric linear algebra
• Potential theory
• Complex analysis
• Differential equations
• The laplace transform
• Series solutions
• Approximation of solutions
• Fourier series
• The fourier integral
• The potential equation
• The residue theorem
• Discrete mathematics
• Modeling computation
• Number theory
• Advanced counting techniques
• Recurrence relations
• Solving linear recurrence relations
• Higher order linear ODEs
• Vector differential calculus
• Fourier analysis
• Laurent series
• Residue integration
• Conformal mapping
• Systems of ODEs
• Phase plane
• Numerics in general
• Applications discrete mathematics
• Modelling computation
• Relations and trees
• mathematics curriculum
• teaching methods
• Paul Dawkins
• calculations
• Calculus
• algebra
• Mathematical reasoning
• Combinatorial analysis
• Propositional logic
• Language of propositions
• Predicate logic
• First order logic
• Predicate calculus
• Valid arguments
• Proof methods
• Proof strategies