Description:Finally, a math book that looks GREAT on a phone/tablet screen!
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!