Chapters include:

• Numbers
• Basic Point-Set Topology
• Functions, Limits, and Continuity
• Special Functions (Log, Exp, Circular Trig, Hyperbolics)
• Sequences
• Derivatives
• Integrals
• Partial Derivatives
• Vectors
• Applications
• Differential Geometry(Curvature, Torsion,)
• Multiple Integrals
• Line/Surface Integrals
• Change of Variable
• Infinite Sequences
• Infinite Series
• Improper Integrals
• Gamma and Beta Functions
• Fourier Series
• Fourier Integrals
• Laplace Transforms
• Function of Complex Variables

Synopsis:
This best-selling guide--which has sold more than 340,000 copies since its first publication--has been thoroughly updated throughout to correspons to current advanced calculus courses. A complete and comprehensive review of the subject, this updated edition features important new chapters on topology and Laplace transforms and essential new theorems, with explanatory proofs.

Synopsis:
Master the fundamentals of advanced calculus with Schaum's­­the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams and projects!

Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides.

Get the edge on your classmates. Use Schaum's!

If you don't have a lot of time but want to excel in class, this book helps you:

• Use detailed examples to solve problems
• Brush up before tests
• Find answers fast
• Study quickly and more effectively
• Get the big picture without poring over lengthy textbooks

Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format­­without overwhelming you with unnecessary jargon. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's let you study at your own pace and remind you of all the important facts you need to remember­­fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.

Inside, you will find:

• Complete coverage of the principles of advanced calculus
• Chapter introductions and historical notes highlighting the fundamental notions and relationships
• New material on vector analysis, fourier integrals, and gamma functions
• Real world problems with step-by-step solutions
• Essential theorems and example proofs

Master the fundamentals of advanced calculus with Schaum's­­the high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams and projects!

Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides.

Get the edge on your classmates. Use Schaum's!

If you don't have a lot of time but want to excel in class, this book helps you:

• Use detailed examples to solve problems
• Brush up before tests
• Find answers fast
• Study quickly and more effectively
• Get the big picture without poring over lengthy textbooks

Schaum's Outlines give you the information your teachers expect you to know in a handy and succinct format­­without overwhelming you with unnecessary jargon. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaum's let you study at your own pace and remind you of all the important facts you need to remember­­fast! And Schaum's are so complete, they're perfect for preparing for graduate or professional exams.