Calculus BLUE Multivariable Volume 2: Derivatives uses vector and matrix algebra to understand derivatives and their applications to multivariable calculus. Topics covered in this text include:
multivariate functions with arbitrary numbers of inputs & outputspartial derivativesthe derivative as a linear transformation on vectors of rates of changedifferentiation rules, including the chain rule as matrix multiplicationthe inverse and implicit function theorems, with applicationsgradients and directional derivativeslinearization and Taylor expansion of multivariate functionsoptimization of multivariate functionsapplications to linear regression, game theory, & Nash equilibriaconstrained optimization and the Lagrange multipliera hint of deeper applications in optimization theory, dynamical system, & more
Throughout, the text is filled with contemporary applications to robotics, data, mechanics, economics, probability, networks, and biology. Theory and application are brought to life in full eye-scorching color (though a lot of it is blue).
This volume consists of 19 chapters (plus a prologue, epilogue, and foreshadowing of volume 3), each containing exercises for practice, for 475 pages of mathematics and color and joy and hard work.
NOTE! This is graphics intensive, and the ✅File Size is quite large. You may want to download it over a wireless connection rather than cellular. Also, although Amazon says this is a "print replica", there is no printed text this is based on. This book was hand-crafted for electronic format. It looks phenomenal on a modern smart-phone. You can pinch-zoom, use bookmarks, search, highlight, build flashcards, and more. Enjoy!