Calculus BLUE Multivariable Volume 3: Integrals

This volume is the third 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 3: Integrals continues the journey through multivariable calculus, building on previous material from linear algebra and multivariate derivatives in volumes 1 and 2. Topics covered in this text include:

• multivariate Riemann sums, Riemann integrals, and the Fubini Theorem
• double, triple, and higher-dimensional integrals, with motivations & applications
• using integrals to compute averages
• using integrals to compute mass, centroids, and centers of mass
• moments of inertia, the inertia matrix, and basic solid body mechanics
• probability in single and multiple variables; independence and expectation
• the variance-covariance matrix and its applications
• cylindrical & spherical coordinates
• the Change of Variables Theorem and its applications
• surface integrals, with applications to surface area and more
• multivariate Gaussians, the Kalman filter, and high-dimensional geometry

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 4), each containing exercises for practice, for over 450 pages of mathematics and color and joy and hard work. The 3rd edition includes a new chapter, updated graphics throughout, and more efficient compression for faster navigation.

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, flashcards, and more. Enjoy!