Complex Made Simple

Complex Made Simple PDF Author: David C. Ullrich
Publisher: American Mathematical Soc.
ISBN: 0821844792
Category : Mathematics
Languages : en
Pages : 506

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Book Description
Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis

Complex Made Simple

Complex Made Simple PDF Author: David C. Ullrich
Publisher: American Mathematical Soc.
ISBN: 0821844792
Category : Mathematics
Languages : en
Pages : 506

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Book Description
Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis

Mathematics of the Discrete Fourier Transform (DFT)

Mathematics of the Discrete Fourier Transform (DFT) PDF Author: Julius O. Smith
Publisher: Julius Smith
ISBN: 097456074X
Category : Fourier transformations
Languages : en
Pages : 323

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Book Description
"The DFT can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, and that is the focus of this book. The DFT is normally encountered as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis, high-speed convolution (linear filtering), filter banks, signal detection and estimation, system identification, audio compression (such as MPEG-II AAC), spectral modeling sound synthesis, and many others. In this book, certain topics in digital audio signal processing are introduced as example applications of the DFT"--Back cover

Drugs are Adam's Sin

Drugs are Adam's Sin PDF Author: Zaid Al-Jluwi
Publisher: Archway Publishing
ISBN: 1665731672
Category : Religion
Languages : en
Pages : 102

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Book Description
Drugs are Adam’s Sin is a contemporary interpretation of the sin committed by Adam, peace be upon him. The author believes that contrary to what many believe—that Adam’s sin was biting into an apple from a forbidden tree—his crime really was abusing drugs, resulting in the poisoning of his nervous system and unhappiness in paradise. The author contends that the tree in the Garden of Eden was not tall but rather short and charming—it was the poppy tree, which produces opium, morphine, and heroin. The toxins Adam ingested were genetically passed to his children, resulting in dreadful consequences that continue to this day and that have affected all of humanity. In examining Adam’s crime, the author seeks to answer questions such as: • How should we look at the criminal nature of man? • What can we do to correct our daily behaviors? • Why is understanding the true nature of Adam’s sin so important? Get a new perspective on events from the Bible, the nature of sin, and how humanity can solve what ails it in this groundbreaking book.

How to Prove It

How to Prove It PDF Author: Daniel J. Velleman
Publisher: Cambridge University Press
ISBN: 0521861241
Category : Mathematics
Languages : en
Pages : 401

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Book Description
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

The Science of Sin

The Science of Sin PDF Author: Simon M. Laham, PhD
Publisher: Harmony
ISBN: 0307719359
Category : Psychology
Languages : en
Pages : 224

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Book Description
Pride, lust, gluttony, greed, envy, sloth, and anger. They’re considered “deadly” because of their capacity to generate other evils. The truth is, we all sin and we do it all the time—in fact, usually several times over before breakfast! But human behavior, argues social psychologist Simon Laham, is more complex than “good” or “evil.” In psychology, these sins aren’t considered morally wrong or even uniformly bad, but are treated rather as complex and interesting psychological states that if, indulged wisely, can be functional, adaptive, and lead to a range of positive effects. The Science of Sin takes on these so-called sins one by one and through psychological research shows that being bad can be oh-so-good for you. Did you know that: · Being slow and lazy can help you win the race? · Anger makes you more open-minded? · Coveting what others have not only makes you more creative but bolsters self- esteem? So go ahead, eat that last cookie and kick back on the couch for a day of TV with your neighbor’s boyfriend—from gluttony to greed, envy to lust, Laham shows how even the deadliest, most decadent of vices can make you smart, successful, and happy.

The Christian Century

The Christian Century PDF Author:
Publisher:
ISBN:
Category : Theology
Languages : en
Pages : 640

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Book Description


Sin and Syntax

Sin and Syntax PDF Author: Constance Hale
Publisher: Crown
ISBN: 038534693X
Category : Language Arts & Disciplines
Languages : en
Pages : 322

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Book Description
A fully revised and updated edition with writing prompts and challenges in every chapter Today’s writers need more spunk than Strunk: whether it's the Great American e-mail, Madison Avenue advertising, or Grammy Award-winning rap lyrics, memorable writing must jump off the page. Copy veteran Constance Hale is on a mission to make creative communication, both the lyrical and the unlawful, an option for everyone. With its crisp, witty tone, Sin and Syntax covers grammar’s ground rules while revealing countless unconventional syntax secrets (such as how to use—Gasp!—interjections or when to pepper your prose with slang) that make for sinfully good writing. Discover how to: *Distinguish between words that are “pearls” and words that are “potatoes” * Avoid “couch potato thinking” and “commitment phobia” when choosing verbs * Use literary devices such as onomatopoeia, alliteration, and metaphor (and understand what you're doing) Everyone needs to know how to write stylish prose—students, professionals, and seasoned writers alike. Whether you’re writing to sell, shock, or just sing, Sin and Syntax—now celebrating 20 years in print—is the guide you need to improve your command of the English language.

Motion Picture Classic

Motion Picture Classic PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 554

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Book Description


Complex Analysis

Complex Analysis PDF Author: Elias M. Stein
Publisher: Princeton University Press
ISBN: 1400831156
Category : Mathematics
Languages : en
Pages : 398

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Book Description
With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Algebra

Algebra PDF Author: George Chrystal
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 604

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Book Description