NOW WITH A FULL-COLOR DESIGN, THE NEW FOURTH EDITION OF ZILL'S ADVANCED ENGINEERING MATHEMATICS PROVIDES AN IN-DEPTH OVERVIEW OF THE MANY MATHEMATICAL TOPICS NECESSARY FOR STUDENTS PLANNING A CAREER IN ENGINEERING OR THE SCIENCES. A KEY STRENGTH OF THIS TEXT IS ZILL'S EMPHASIS ON DIFFERENTIAL EQUATIONS AS MATHEMATICAL MODELS, DISCUSSING THE CONSTRUCTS AND PITFALLS OF EACH. THE FOURTH EDITION IS COMPREHENSIVE, YET FLEXIBLE, TO MEET THE UNIQUE NEEDS OF VARIOUS COURSE OFFERINGS RANGING FROM ORDINARY DIFFERENTIAL EQUATIONS TO VECTOR CALCULUS. NEW MODERN APPLICATIONS AND PROJECTS, COUPLED WITH A NEW STATISTICS AND PROBABILITY CD-ROM INCLUDED WITH EVERY NEW COPY MAKES ZILL'S CLASSIC TEXT A MUST-HAVE TEXT AND RESOURCE FOR ENGINEERING MATH STUDENTS!
Zill
ÀúÀÚ : ZILL
DENNIS G. ZILL, LOYOLA MARYMOUNT UNIVERSITY
HE RECEIVED A PHD IN APPLIED MATHEMATICS FROM IOWA STATE UNIVERSITY AND IS CURRENTLY PROFESSOR OF MATHEMATICS AND FORMER CHAIR OF THE MATHEMATICS DEPARTMENT AT LOYOLA MARYMOUNT UNIVERSITY IN LOS ANGELES. ZILL'S RESEARCH INTERESTS INCLUDE APPLIED MATHEMATICS, SPECIAL FUNCTIONS, AND INTEGRAL TRANSFORMS.
PREFACE
PROJECTS
PROJECT FOR SECTION 2.2 WHEN DIFFERENTIAL EQUATIONS INVADED GEOMETRY: INVERSE TANGENT PROBLEMS IN THE 17TH CENTURY
PROJECT FOR SECTION 2.5 TWO PROPERTIES OF THE SPHERE
PROJECT FOR SECTION 2.7 POTASSIUM-ARGON DATING
PROJECT FOR SECTION 2.8 TRICKY TIMING: THE ISOCHRONES OF HUYGENS AND LEIBNIZ
PROJECT FOR SECTION 3.8 VIBRATION CONTROL: VIBRATION ISOLATION
PROJECT FOR SECTION 3.11 VIBRATION CONTROL: VIBRATION ABSORBERS
PROJECT FOR SECTION 9.16 MINIMAL SURFACES
PROJECT FOR SECTION 13.4 MAKING WAVES: CONVECTION, DIFFUSION, AND TRAFFI C FLOW
PROJECT FOR SECTION 15.4 THE UNCERTAINTY INEQUALITY IN SIGNAL PROCESSING
PART1ORDINARY DIFFERENTIAL EQUATIONS
1INTRODUCTION TO DIFFERENTIAL EQUATIONS
2FIRST-ORDER DIFFERENTIAL EQUATIONS
3HIGHER-ORDER DIFFERENTIAL EQUATIONS
4THE LAPLACE TRANSFORM
5SERIES SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
6NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
PART2VECTORS, MATRICES, AND VECTOR CALCULUS
7VECTORS
8MATRICES
9VECTOR CALCULUS
PART3SYSTEMS OF DIFFERENTIAL EQUATIONS
10SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
11SYSTEM...(ÇÏ·«)