Calculus BLUE Multivariable Volume 2: Derivatives

This volume is the second in a 4-volume set of CALCULUS BLUE books on multivariable calculus and is part of a revolutionary series of graphical Mathematics texts optimized for reading on phones/tablets/laptops. Not only is the format novel, the curricular approach is a contemporary take on the classic core, with a particular emphasis on preparation for modern data science.

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 & outputs
• partial derivatives
• the derivative as a linear transformation on vectors of rates of change
• differentiation rules, including the chain rule as matrix multiplication
• the inverse and implicit function theorems, with applications
• gradients and directional derivatives
• linearization and Taylor expansion of multivariate functions
• optimization of multivariate functions
• applications to linear regression, game theory, & Nash equilibria
• constrained optimization and the Lagrange multiplier
• a 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!