E-Books →Calculus BLUE Multivariable Volume 3 Integrals

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 Theoremdouble, triple, and higher-dimensional integrals, with motivations & applicationsusing integrals to compute averagesusing integrals to compute mass, centroids, and centers of massmoments of inertia, the inertia matrix, and basic solid body mechanicsprobability in single and multiple variables; independence and expectationthe variance-covariance matrix and its applicationscylindrical & spherical coordinatesthe Change of Variables Theorem and its applicationssurface integrals, with applications to surface area and moremultivariate 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!