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This version of YAINTT has a particular emphasis on connections to cryptology. The cryptologic material appears in Chapter 4 and §§5.5 and 5.6, arising naturally (I hope) out of the ambient number theory. The main cryptologic applications – being the RSA cryptosystem, Diffie-Hellman key exchange, and the ElGamal cryptosystem – come out so naturally from considerations of Euler’s Theorem, primitive roots, and indices that it renders quite ironic G.H. Hardy’s assertion [Har05] of the purity and eternal inapplicability of number theory. Note, however, that once we broach the subject of these cryptologic algorithms, we take the time to make careful definitions for many cryptological concepts and to develop some related ideas of cryptology which have much more tenuous connections to the topic of number theory. This material therefore has something of a different flavor from the rest of the text – as is true of all scholarly work in cryptology (indeed, perhaps in all of computer science), which is clearly a discipline with a different culture from that of “pure”mathematics. Obviously, these sections could be skipped by an uninterested reader, or remixed away by an instructor for her own particular class approach.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Number theory Textbooks
- Resource Type:
- e-book
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e-book
The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Trigonometry Textbooks
- Resource Type:
- e-book
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e-book
We hope readers will take away three ideas from this book in addition to forming a foundation of statistical thinking and methods. (1) Statistics is an applied field with a wide range of practical applications. (2) You don't have to be a math guru to learn from interesting, real data. (3) Data are messy, and statistical tools are imperfect. However, when you understand the strengths and weaknesses of these tools, you can use them to learn interesting things about the world. Textbook overview The chapters of this book are as follows: 1. Introduction to data. Data structures, variables, summaries, graphics, and basic data collection techniques. 2. Foundations for inference. Case studies are used to introduce the ideas of statistical inference with randomization and simulations. The content leads into the standard parametric framework, with techniques reinforced in the subsequent chapters.1 It is also possible to begin with this chapter and introduce tools from Chapter 1 as they are needed. 3. Inference for categorical data. Inference for proportions using the normal and chi-square distributions, as well as simulation and randomization techniques. 4. Inference for numerical data. Inference for one or two sample means using the t distribution, and also comparisons of many means using ANOVA. A special section for bootstrapping is provided at the end of the chapter. 5. Introduction to linear regression. An introduction to regression with two variables. Most of this chapter could be covered immediately after Chapter 1. 6. Multiple and logistic regression. An introduction to multiple regression and logistic regression for an accelerated course. Appendix A. Probability. An introduction to probability is provided as an optional reference. Exercises and additional probability content may be found in Chapter 2 of OpenIntro Statistics at openintro.org. Instructor feedback suggests that probability, if discussed, is best introduced at the very start or very end of the course.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics Textbooks
- Resource Type:
- e-book
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e-book
Esta comunidad tiene como fin construir un texto base, que pretende ser la puerta de entrada al mundo de las matemáticas superiores y sus aplicaciones en el campo de las Ciencias de la Ingeniería.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus Integral Calculus Differential calculus Textbooks
- Resource Type:
- e-book
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e-book
This book covers the basics of project management. This includes the process of initiation, planning, execution, control and close out that all projects share.
- Subjects:
- Management
- Keywords:
- Textbooks Project management
- Resource Type:
- e-book
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e-book
JavaScript lies at the heart of almost every modern web application, from social apps like Twitter to browser-based game frameworks like Phaser and Babylon. Though simple for beginners to pick up and play with, JavaScript is a flexible, complex language that you can use to build full-scale applications. This much anticipated and thoroughly revised third edition of Eloquent JavaScript dives deep into the JavaScript language to show you how to write beautiful, effective code. It has been updated to reflect the current state of Java¬Script and web browsers and includes brand-new material on features like class notation, arrow functions, iterators, async functions, template strings, and block scope. A host of new exercises have also been added to test your skills and keep you on track.
- Subjects:
- Computing
- Keywords:
- Java (Computer program language) Computer programming Programming languages (Electronic computers) Textbooks
- Resource Type:
- e-book
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e-book
Mastering Strategic Management is designed to enhance student engagement in three innovative ways. The first is through visual adaptations of the key content in the book. It is well documented that many of today's students are visual learners. To meet students' wants and needs (and thereby create a much better teaching experience for professors), Mastering Strategic Management contains multiple graphic concept pages in ever section of every chapter of the book. Think of graphic concept pages as almost like info-graphics for key concepts in each section. This feature sets Mastering Strategic Management apart from any strategic management book on the market today. The second way the authors capture student interest through their textbook is by using a real-world company as the running example in each chapter. For example, Chapter 1 in Mastering Strategic Management utilizes Blackberry to harness the conceptual coverage of the chapter in a running, corporate, application to which students will relate. The third inventive way Mastering Strategic Management holds the attention of strategic management students is through the “strategy at the movies” feature in each chapter that links course concepts with a popular motion picture.
- Subjects:
- Management
- Keywords:
- Strategic planning Textbooks
- Resource Type:
- e-book
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e-book
The purpose of this text is to promote understanding of the Geographic Information Science and Technology enterprise (GIS&T, also known as “geospatial”).
- Subjects:
- Land Surveying and Geo-Informatics||Computing
- Keywords:
- Geographic information systems Textbooks
- Resource Type:
- e-book
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e-book
This second edition of Database Design book covers the concepts used in database systems and the database design process. Topics include: The history of databases Characteristics and benefits of databases Data models Data modelling Classification of database management systems Integrity rules and constraints Functional dependencies Normalization Database development process New to this edition are more examples, highlighted and defined key terms, both throughout and at the end of each chapter, and end-of-chapter review exercises. Two new chapters have been added on SQL, along with appendices that include a data model example, sample ERD exercises and SQL lab with solutions.
- Subjects:
- Computing
- Keywords:
- Database design Textbooks
- Resource Type:
- e-book
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e-book
An Introduction to Computer Networksis a free and open general-purpose computer-networking textbook, complete with diagrams and exercises.It covers the LAN, internetworking and transport layers, focusing primarily on TCP/IP. Particular attention is paid to congestion; other special topics include queuing, real-time traffic, network management, security and the ns simulator. The book is suitable as the primary text for an undergraduate or introductory graduate course in computer networking, as a supplemental text for a wide variety of network-related courses, and as a reference work.
- Subjects:
- Computing
- Keywords:
- Computer networks Computer network protocols Textbooks
- Resource Type:
- e-book