ARE NUMBERS REAL

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Are Numbers Real

Author : Brian Clegg
ISBN : 9781472139771
Genre : Science
File Size : 81.16 MB
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Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers Real? Brian Clegg explores the way that maths has become more and more detached from reality, yet despite this is driving the development of modern physics. From devising a new counting system based on goats, through the weird and wonderful mathematics of imaginary numbers and infinity to the debate over whether mathematics has too much influence on the direction of science, this fascinating and accessible book opens the reader's eyes to the hidden reality of the strange yet familiar world of numbers.
Category: Science

Precalculus With Calculus Previews

Author : Dennis G. Zill
ISBN : 9781449645151
Genre : Mathematics
File Size : 59.6 MB
Format : PDF, Docs
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Incorporating Zill's student-friendly writing style and modern examples, Precalculus with Calculus Previews, Fifth Edition includes all of the outstanding features and learning tools found in the original text, Essentials of Precalculus with Calculus Previews, while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added four additional chapters making the text a clear choice for many mainstream courses. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses. - Includes a new chapter, - Provides a "no nonsense" approach to precalculus with an informal, intuitive, and straightforward writing style. - Incorporates the terminology used in calculus in an informal way to acclimate students to these new terms. - Includes over 1600 figures to help illuminate key concepts. - Notes from the Classroom sections address a variety of student/textbook/classroom/calculus issues such as alternative terminology, reinforcement of important concepts, tips on memorization, misinterpretations, common errors, solution procedures, calculators, and advice on the importance of neatness and organization. - Calculus Previews conclude each chapter and highlight a single calculus concept with a focus on the algebraic, logarithmic, and trigonometric manipulations necessary for successfully completing the problem. Translating Words into Functions illustrates how to translate a verbal description into a symbolic representation of a function.
Category: Mathematics

Essentials Of Precalculus With Calculus Previews

Author : Dennis G. Zill
ISBN : 9781449614973
Genre : Mathematics
File Size : 55.33 MB
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Perfect for the one-term course, Essentials of Precalculus with Calculus Previews, Fifth Edition provides a complete, yet concise, introduction to precalculus concepts, focusing on important topics that will be of direct and immediate use in most calculus courses. Consistent with Professor Zill's eloquent writing style , this full-color text offers numerous exercise sets and examples to aid in student comprehension, while graphs and figures throughout serve to illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of many calculus problems. The authors are careful to use calculus terminology in an informal and accessible way to facilitate the students successful transition into future calculus courses. With an outstanding collection of student and instructor resources, Essentials of Precalculus with Calculus Previews offers a complete teaching and learning package. Key Features: • Available with WebAssign Online Homework and Grading System • Vibrant four-color design illuminates key concepts and improves students' comprehension of graphs and figures. • Translating Words into Functions section illustrates how to translate a verbal description into a symbolic representation of a function and demonstrates these translations with actual calculus problems. • Chapter Review Exercises include problems that focus on the algebra, graphing, and function theory, the sub-text of so many calculus problems. Review questions include conceptual fill--in-the-blank and true/false, as well as numerous thought-provoking exercises. • The Calculus Preview found at the end of each chapter offers students a glimpse of a single calculus concept along with the algebraic, logarithmic, and trigonometric manipulations that are necessary for the successful completion on typical problems related to that concept. • Provides a complete teaching and learning program with numerous student and instructor resources, including the Student Resource Manual, WebAssign Access, Complete eLearning Center, and • Complete Instructor Solutions Manual. • Includes a new section on simple harmonic motion in Chapter 4. • A new section of parametric equations, as well as a new calculus preview of 3-space, has been added to Chapter 6. • Rotation of polar graphs is now discussed in Section 6.6 • The discussion of the hyperbolic functions in Section 5.4 has been expanded. • Numerous new problems have been added throughout the text. • The final exam at the end of the text has been expanded.
Category: Mathematics

Comprehensive Algebra Vol 1

Author : KUMAR
ISBN : 9781259064227
Genre :
File Size : 39.59 MB
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Algebra is a key topic of mathematics. A significant ?number of questions are asked from this segment in various engineering entrance examinations. This book aims to provide a thorough understanding of the topic starting from the basics. In the process, it sharpens problem solving skill.?
Category:

Precalculus With Calculus Previews

Author : Dennis G. Zill
ISBN : 9780763766313
Genre : Mathematics
File Size : 78.68 MB
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Instructors are always faced with the dilemma of too much material and too little time. Perfect for the one-term course, Precalculus with Calculus Previews, Fourth Edition provides a complete, yet manageable, introduction to precalculus concepts while focusing on important topics that will be of direct and immediate use in most calculus courses. Consistent with Professor Zill's eloquent writing style, this four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, while graphs and figures throughout serve to illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses. With an extensive Student Study Guide and a full Solutions Manual for instructors, Precalculus with Calculus Previews offers a complete teaching and learning package!
Category: Mathematics

Which Numbers Are Real

Author : Michael Henle
ISBN : 9780883857779
Genre : Mathematics
File Size : 82.88 MB
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Everyone knows the real numbers, those fundamental quantities that make possible all of mathematics from high school algebra and Euclidean geometry through the Calculus and beyond; and also serve as the basis for measurement in science, industry, and ordinary life. This book surveys alternative real number systems: systems that generalize and extend the real numbers yet stay close to these properties that make the reals central to mathematics.Alternative real numbers include many different kinds of numbers, for example multidimensional numbers (the complex numbers, the quaternions and others), infinitely small and infinitely large numbers (the hyperreal numbers and the surreal numbers), and numbers that represent positions in games (the surreal numbers). Each system has a well-developed theory, including applications to other areas of mathematics and science, such as physics, the theory of games, multi-dimensional geometry, and formal logic. They are all active areas of current mathematical research and each has unique features, in particular, characteristic methods of proof and implications for the philosophy of mathematics, both highlighted in this book.Alternative real number systems illuminate the central, unifying role of the real numbers and include some exciting and eccentric parts of mathematics. Which Numbers Are Real? Will be of interest to anyone with an interest in numbers, but specifically to upper-level undergraduates, graduate students, and professional mathematicians, particularly college mathematics teachers.
Category: Mathematics