Free Download Calculus BLUE Multivariable Volume 3: Integrals by Robert Ghrist
English | July 14, 2016 | ISBN: 9781944655105, ASIN: B01IGRPCXI | True PDF | 420 pages | 195 MB
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 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!
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