Book description
This brilliant study by a famed mathematical scholar and former professor of mathematics at the University of Amsterdam integrates a concise exposition of the mathematical basis of tensor analysis with admirably chosen physical examples of the theory.The first five chapters incisively set out the mathematical theory underlying the use of tensors. The tensor algebra in EN and RN is developed in Chapters I and II. Chapter II introduces a sub-group of the affine group, then deals with the identification of quantities in EN. The tensor analysis in XN is developed in Chapter IV. In chapters VI through IX, Professor Schouten presents applications of the theory that are both intrinsically interesting and good examples of the use and advantages of the calculus. Chapter VI, intimately connected with Chapter III, shows that the dimensions of physical quantities depend upon the choice of the underlying group, and that tensor calculus is the best instrument for dealing with the properties of anisotropic media. In Chapter VII, modern tensor calculus is applied to some old and some modern problems of elasticity and piezo-electricity. Chapter VIII presents examples concerning anholonomic systems and the homogeneous treatment of the equations of Lagrange and Hamilton. Chapter IX deals first with relativistic kinematics and dynamics, then offers an exposition of modern treatment of relativistic hydrodynamics. Chapter X introduces Dirac's matrix calculus. Two especially valuable features of the book are the exercises at the end of each chapter, and a summary of the mathematical theory contained in the first five chapters -- ideal for readers whose primary interest is in physics rather than mathematics.
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Playing a wide variety of audio formats
Works on all devices with iOS 13 and newer
Huge amount of features for a small price
Frequent updates to add new features and improve existing ones
Advanced playback controls
Live sound processing
Changing the timbre of the reader's voice and noise reduction
Translated into more than 20 languages
If you love listening to fiction audiobooks, ListenBook has features to make the process easier.
Edit book data: title, author, cover
Use equalizer to make the sound comfortable for you
Adjust the playback speed
Enjoy dark and light app themes
Supported formats: MP3, M4B, AWB, FLAC, OGG audio files and many more (must be DRM free)
Auto-Bookmarks make it easy to find your place
AirPlay support allows redirection of audio output.
VoiceOver support
Dark mode for night owls
Convenient bookmarking system helps you mark the most important places.
Unlimited bookmarks for each audiobook
Put your own cover on the wager
Share your audiobook with friends
Lock-screen control
Customise app with extensive options
Sleep timer with shake to reset, set custom notification sounds, and a few unique options
Auto rewind depending on paused time, customize rewind times to your liking
Removing background noise from recordings made in classrooms and meetings
Changing the timbre of the reader's voice for a better listening experience