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Conventional calculus is too hard and too complex. Students are forced to learn too many theorems and proofs. In Free Calculus, the author suggests a direct approach to the two fundamental concepts of calculus -- differentiation and integration -- using two inequalities. Regular calculus is condensed into a single concise chapter. This makes the teaching of physics in step with the calculus teaching.

You want to be a screenwriter? Juliet Aires Giglio and Keith Giglio did too. Long before they became professors, they spent successful years writing and producing in the magical world of Hollywood, working on projects that have generated much success.However, when they stood up in front of the classroom they could not find a book designed for the screenwriting student that helped the writer actually write. None of the screenwriting books they read covered the craft of writing as screenwriters really talk about it. None of the books shared the techniques of screenwriting that they had learned from years in the trenches writing for studios.So they wrote the book they wish they had in film school.Proof of Concept: Writing the Short Script is aimed at the beginning writer. The novice. It is designed to teach the writer the wonderful language that is screenwriting.The emerging writer will use the same tools and develop the same skills that a professional screenwriter uses. From writing visually to breaking stories to the art of listening and learning from development notes, the authors have brought the lessons they learned from professional screenwriting into the classroom and now on to these pages.Proof of Concept is not just an introduction to screenwriting. It’s the first page of your screenplay that starts your life as a successful writer.

You want to be a screenwriter? Juliet Aires Giglio and Keith Giglio did too. Long before they became professors, they spent successful years writing and producing in the magical world of Hollywood, working on projects that have generated much success.However, when they stood up in front of the classroom they could not find a book designed for the screenwriting student that helped the writer actually write. None of the screenwriting books they read covered the craft of writing as screenwriters really talk about it. None of the books shared the techniques of screenwriting that they had learned from years in the trenches writing for studios.So they wrote the book they wish they had in film school.Proof of Concept: Writing the Short Script is aimed at the beginning writer. The novice. It is designed to teach the writer the wonderful language that is screenwriting.The emerging writer will use the same tools and develop the same skills that a professional screenwriter uses. From writing visually to breaking stories to the art of listening and learning from development notes, the authors have brought the lessons they learned from professional screenwriting into the classroom and now on to these pages.Proof of Concept is not just an introduction to screenwriting. It’s the first page of your screenplay that starts your life as a successful writer.

PoC or GTFO, Volume 2 follows-up the wildly popular first volume with issues 9-13 of the eponymous hacker zine. Contributions range from humorous poems to deeply technical essays.The International Journal of Proof-of-Concept or Get The Fuck Out is a celebrated magazine of reverse engineering, retro-computing, and systems internals. This second collected volume holds all of the articles from releases nine to thirteen.Learn how to patch the firmware of a handheld amateur radio, then emulate that radio's proprietary audio code under Linux. How to slow the Windows kernel when exploiting a race condition and how to make a PDF file that is also an Android app, an audio file, or a Gameboy speedrun. How to hack a Wacom pen table with voltage glitching, then hack it again by pure software to read RDID tags from its surface. How to disassemble every last byte of an Atari game and how to bypass every classic form of copy protection on Apple ][.But above all else, beyond the nifty tricks and silly songs, this book exists to remind you what a clever engineer can build from a box of parts with a bit of free time. Not to show you what others have done, but to show you how they did it so that you can do the same.

This highly anticipated print collection gathers articles published in the much-loved International Journal of Proof-of-Concept or Get The Fuck Out.PoC GTFO follows in the tradition of Phrack and Uninformed by publishing on the subjects of offensive security research, reverse engineering, and file format internals. Until now, the journal has only been available online or printed and distributed for free at hacker conferences worldwide.Consistent with the journal's quirky, biblical style, this book comes with all the trimmings: a leatherette cover, ribbon bookmark, bible paper, and gilt-edged pages. The book features more than 80 technical essays from numerous famous hackers, authors of classics like "Reliable Code Execution on a Tamagotchi," "ELFs are Dorky, Elves are Cool," "Burning a Phone," "Forget Not the Humble Timing Attack," and "A Sermon on Hacker Privilege." Twenty-four full-color pages by Ange Albertini illustrate many of the clever tricks described in the text.

In recent decades many attacks have been launched against the concept of taqlid [following a school of Islamic law]. Opposition has ranged from being mild with degrees of acceptance to malicious attacks. Certain extreme elements have gone so far as to brand those who follow a madhhab [school] as mushrik [polytheist]. Much of the opposition has been a result of misunderstanding the realities of this concept. The first part of this book seeks to clarify certain aspects of taqlid that have been misunderstood and gravely distorted. It sheds light on the necessity of taqlid, its history, and its role in today’s world. The second part includes several chapters devoted to issues regarding salat [ritual prayer] according to the Hanafi school of law. Through illustrative examples and detailed discussions, the chapters on prayer sufficiently demonstrate the sophisticated legal philosophy employed by the Hanafi school (indeed all the madhhabs) in their derivation of legal rulings from the source texts of Islam. All rulings have been supported with evidentiary proofs from the Qur’an and Hadith. The author delivers an even-handed presentation of arguments throughout the book. He intends neither to offend nor to perpetuate polemic disputes, but rather to state the facts in a lucid and rational style, with a view to appeal to the reader's sense of reason.

This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students who've had a semester of calculus, and is designed to be accessible to students with a wide range of mathematical proficiency. It can also be used as a self-study reference, or as a supplement in other math courses where additional proofs practice is needed.

This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students who've had a semester of calculus, and is designed to be accessible to students with a wide range of mathematical proficiency. It can also be used as a self-study reference, or as a supplement in other math courses where additional proofs practice is needed.

Intended to bridge the gap between the standard calculus sequence and more abstract upper-division mathematics courses, this successful text provides a firm foundation in sets, logic, and mathematical proof methods. The Second Edition includes a smoother transition from the concepts of logic to actual use of these concepts in proving theorems; additional applications; several essays about prominent mathematicians and their work; and the addition of exercises for student writing.

Number Theory: A Lively Introduction with Proofs, Applications, and Stories, is a new book that provides a rigorous yet accessible introduction to elementary number theory along with relevant applications. Readable discussions motivate new concepts and theorems before their formal definitions and statements are presented. Many theorems are preceded by Numerical Proof Previews, which are numerical examples that will help give students a concrete understanding of both the statements of the theorems and the ideas behind their proofs, before the statement and proof are formalized in more abstract terms. In addition, many applications of number theory are explained in detail throughout the text, including some that have rarely (if ever) appeared in textbooks. A unique feature of the book is that every chapter includes a math myth, a fictional story that introduces an important number theory topic in a friendly, inviting manner. Many of the exercise sets include in-depth Explorations, in which a series of exercises develop a topic that is related to the material in the section.

In his groundbreaking book, The Scientific Proof of God, Fredrick Swaroop Honig takes difficult concepts about quantum physics and the functioning of the universe, and explains them in simple language that anyone can understand. He integrates science and consciousness and shows us how this information contains the very core of our purpose on this planet. This is an inspiring read that leaves us with hope about our lives and the goodness of this world.” — Marci Shimoff, #1 NY Times bestselling author of Happy for No Reason Fredrick Swaroop Honig is a visionary whose insights bridge the scientific and spiritual worlds. Swaroop was trained as a Mechanical Engineer at UC Berkeley in the ’70s, and then lived as a monk for twenty years in the Ashram of the acclaimed interfaith leader Sri Swami Satchidananda. His forty years of deep meditation practice have revealed to him profound insights into the nature of the universe. In The Scientific Proof of God, Swaroop integrates into the standard model of physics the dimensions of Consciousness and Intention. He sheds light on how the universe began and illuminates the twelve principle mysteries presently unanswered in the standard model of physics. Swaroop offers a new application of Einstein’s famous equation E=mc2, and how this equation when applied to the universe’s dimension of consciousness becomes the Unitive Field Law of Causation. This one equation explains the cause and effect of any action as well as how the primal singularity, the seed of the universe, came into existence before the Big Bang. As a golden bridge between Science and Spirituality, this book also explains how the name of God can be used for attaining Unitive Consciousness. Through these pages, the universe will make more sense to you and you will better understand your unique part in it. We are one with Unitive Consciousness, and realizing this is the goal of life.

In his groundbreaking book, The Scientific Proof of God, Fredrick Swaroop Honig takes difficult concepts about quantum physics and the functioning of the universe, and explains them in simple language that anyone can understand. He integrates science and consciousness and shows us how this information contains the very core of our purpose on this planet. This is an inspiring read that leaves us with hope about our lives and the goodness of this world.” — Marci Shimoff, #1 NY Times bestselling author of Happy for No Reason Fredrick Swaroop Honig is a visionary whose insights bridge the scientific and spiritual worlds. Swaroop was trained as a Mechanical Engineer at UC Berkeley in the ’70s, and then lived as a monk for twenty years in the Ashram of the acclaimed interfaith leader Sri Swami Satchidananda. His forty years of deep meditation practice have revealed to him profound insights into the nature of the universe. In The Scientific Proof of God, Swaroop integrates into the standard model of physics the dimensions of Consciousness and Intention. He sheds light on how the universe began and illuminates the twelve principle mysteries presently unanswered in the standard model of physics. Swaroop offers a new application of Einstein’s famous equation E=mc2, and how this equation when applied to the universe’s dimension of consciousness becomes the Unitive Field Law of Causation. This one equation explains the cause and effect of any action as well as how the primal singularity, the seed of the universe, came into existence before the Big Bang. As a golden bridge between Science and Spirituality, this book also explains how the name of God can be used for attaining Unitive Consciousness. Through these pages, the universe will make more sense to you and you will better understand your unique part in it. We are one with Unitive Consciousness, and realizing this is the goal of life.

Intended to bridge the gap between the standard calculus sequence and more abstract upper-division mathematics courses, this successful text provides a firm foundation in sets, logic, and mathematical proof methods. The Second Edition includes a smoother transition from the concepts of logic to actual use of these concepts in proving theorems; additional applications; several essays about prominent mathematicians and their work; and the addition of exercises for student writing.

"Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."

DISCRETE MATHEMATICS, INTERNATIONAL EDITION combines a balance of theory and applications with mathematical rigor and an accessible writing style. The author uses a range of examples to teach core concepts, while corresponding exercises allow students to apply what they learn. Throughout the text, engaging anecdotes and topics of interest inform as well as motivate learners. The text is ideal for one- or two-semester courses and for students who are typically mathematics, mathematics education, or computer science majors. Part I teaches student how to write proofs; Part II focuses on computation and problem solving. The second half of the book may also be suitable for introductory courses in combinatorics and graph theory.

This book equips readers to apply discrete mathematics and provides opportunities for practice of the concepts presented. Coverage of algorithms is included. Combinatorics receives more coverage than in other books.

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation.Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself.Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.

"Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."