by Gilbert Strang
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This textbook is a well-organized treatise on calculus. The author intuitively provides detailed and intensive explanations fulfilling beginners needs. The book is both useful as a reference and a self-taught manual of calculus.
Chapter 1: Introduction to Calculus; Chapter 2: Derivatives; Chapter 3: Applications of the Derivative; Chapter 4: The Chain Rule; Chapter 5: Integrals; Chapter 6: Exponentials and Logarithms; Chapter 7: Techniques of Integration; Chapter 8: Applications of the Integral; Chapter 9: Polar Coordinates and Complex Numbers; Chapter 10: Infinite Series; Chapter 11: Vectors and Matrices; Chapter 12: Motion along a Curve; Chapter 13: Partial Derivatives; Chapter 14: Multiple Integrals; Chapter 15: Vector Calculus; Chapter 16: Mathematics after Calculus.
About the Author
Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College, of the University of Oxford, UK. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled An Analysis of the Finite Element Method. Professor Strang served as SIAMs president from 1999-2000, chaired the US National Committee on Mathematics from 20032004, and won the Neumann Medal of the US Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences.
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