Search results for ""Author Joe Harris""

The primary goal of these lectures is to introduce a beginner to the finite­ dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific.

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Phenomenon, conspiracy, or delusion? “Kelvin” Melvin Reyes was only three years old when Spontaneous Human Combustion took his father from him. He’s since devoted his life to exploring the mystery behind the phenomenon, searching for a pattern and predictors that he might save others from that same fiery fate. But the closer he gets to his goal, the further things lead down a well of secrets, horrors, and terrible truths. Is SHC real? And if so, can it be stopped? What follows is a supernatural trip down a suburban rabbit hole as Melvin’s quest to honor his father’s memory unlocks the mysteries of his town’s dark past and his own family secrets. From acclaimed writer and filmmaker Joe Harris (Ghost Projekt, The X-Files) comes a slow-burn horror thriller of obsession, belief, and restitution.

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In a world where we are constantly being asked to make decisions based on incomplete information, facility with basic probability is an essential skill. This book provides a solid foundation in basic probability theory designed for intellectually curious readers and those new to the subject. Through its conversational tone and careful pacing of mathematical development, the book balances a charming style with informative discussion. This text will immerse the reader in a mathematical view of the world, giving them a glimpse into what attracts mathematicians to the subject in the first place. Rather than simply writing out and memorizing formulas, the reader will come out with an understanding of what those formulas mean, and how and when to use them. Readers will also encounter settings where probabilistic reasoning does not apply or where intuition can be misleading. This book establishes simple principles of counting collections and sequences of alternatives, and elaborates on these techniques to solve real world problems both inside and outside the casino. Pair this book with the HarvardX online course for great videos and interactive learning: https://harvardx.link/fat-chance.

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