Squigonometry The Study Of Imperfect Circles
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Squigonometry The Study Of Imperfect Circles
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Author : Robert D. Poodiack
language : en
Publisher: Springer Nature
Release Date : 2022-12-15
Squigonometry The Study Of Imperfect Circles written by Robert D. Poodiack and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-15 with Mathematics categories.
This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and squigonometric worlds might be. Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of π, two deeper dives into parameterizing the squigonometric functions, and integration. Applications include a celebration of Piet Hein’s work in design. From here, more technical pathways offer further exploration. Topics include infinite series; hyperbolic, exponential, and logarithmic functions; metrics and norms; and lemniscatic and elliptic functions. Illuminating illustrations accompany the text throughout, along with historical anecdotes, engaging exercises, and wry humor. Squigonometry: The Study of Imperfect Circles invites readers to extend familiar notions from trigonometry into a new setting. Ideal for an undergraduate reading course in mathematics or a senior capstone, this book offers scaffolding for active discovery. Knowledge of the trigonometric functions, single-variable calculus, and initial-value problems is assumed, while familiarity with multivariable calculus and linear algebra will allow additional insights into certain later material.
More Calculus Of A Single Variable
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Author : Peter R. Mercer
language : en
Publisher: Springer
Release Date : 2014-10-17
More Calculus Of A Single Variable written by Peter R. Mercer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-17 with Mathematics categories.
This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization. More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.
An Introduction To Infinite Products
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Author : Charles H. C. Little
language : en
Publisher: Springer Nature
Release Date : 2022-01-10
An Introduction To Infinite Products written by Charles H. C. Little and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-10 with Mathematics categories.
This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.
Biology Unit 1 For Cape Examinations
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Author : Myda Ramesar
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-17
Biology Unit 1 For Cape Examinations written by Myda Ramesar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-17 with Juvenile Nonfiction categories.
Two new titles that provide comprehensive coverage of the syllabus. Units 1 and 2 of Biology for CAPE® Examinations provide a comprehensive coverage of the CAPE® Biology syllabus. Written by highly experienced, internationally bestselling authors Mary and Geoff Jones and CAPE® Biology teacher and examiner Myda Ramesar, both books are in full colour and written in an accessible style. Learning objectives are presented at the beginning of each chapter, and to assist students preparing for the examination, each chapter is followed by questions in the style they will encounter on their examination papers.
Eigenvalues Embeddings And Generalised Trigonometric Functions
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Author : Jan Lang
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-23
Eigenvalues Embeddings And Generalised Trigonometric Functions written by Jan Lang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-23 with Education categories.
The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian.
Trinity College Cambridge
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Author : W. W. Rouse Ball
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-26
Trinity College Cambridge written by W. W. Rouse Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-26 with History categories.
A history of Trinity College, Cambridge, from its foundation by Henry VIII in 1546 to the Victorian era.
Atheism
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Author : Alexandre Kojève
language : en
Publisher: Columbia University Press
Release Date : 2018-11-06
Atheism written by Alexandre Kojève and has been published by Columbia University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-06 with Philosophy categories.
One of the twentieth century’s most brilliant and unconventional thinkers, Alexandre Kojève was a Russian émigré to France whose lectures on Hegel in the 1930s galvanized a generation of French intellectuals. Although Kojève wrote a great deal, he published very little in his lifetime, and so the ongoing rediscovery of his work continues to present new challenges to philosophy and political theory. Written in 1931 but left unfinished, Atheism is an erudite and open-ended exploration of profound questions of estrangement, death, suicide, and the infinite that demonstrates the range and the provocative power of Kojève’s thought. Ranging across Heidegger, Buddhism, Christianity, German idealism, Russian literature, and mathematics, Kojève advances a novel argument about freedom and authority. He investigates the possibility that there is not any vantage point or source of authority—including philosophy, science, or God—that is outside or beyond politics and the world as we experience it. The question becomes whether atheism—or theism—is even a meaningful position since both affirmation and denial of God’s existence imply a knowledge that seems clearly outside our capacities. Masterfully translated by Jeff Love, this book offers a striking new perspective on Kojève’s work and its implications for theism, atheism, politics, and freedom.
Cities And Housing
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Author : Chiranji S. Yadav
language : en
Publisher: Concept Publishing Company
Release Date : 1987
Cities And Housing written by Chiranji S. Yadav and has been published by Concept Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Architecture categories.
Lange Q A Physician Assistant Examination Eighth Edition
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Author : Rachel Carlson
language : en
Publisher: McGraw Hill Professional
Release Date : 2022-01-14
Lange Q A Physician Assistant Examination Eighth Edition written by Rachel Carlson and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-14 with Medical categories.
The most comprehensive review available for the PANCE® and PANRE®—fully revised and updated with all-new professional practice content More than 1,300+ Q&As Help You Achieve Your Highest Score Possible on the PANCE® AND PANRE Exams® 1,300+ multiple-choice questions supplement coursework and help you prepare for the certification exams Each question is accompanied by a detailed, referenced answer Organized by body system to help you pinpoint your areas of strength and weakness High-yield chapter on test-taking skills and techniques—plus score boosting-hints Includes 40% new Q&As with coverage of the latest treatment and diagnostic tests New! Professional practice chapter and expanded color page supplements for images and ECGs Thorough review of basic science and clinical science concepts Topics include Cardiovascular, Dermatology, Endocrinology, EENT, Gastroenterology, Genitourinary, Hematology/Oncology, Infectious Disease, Musculoskeletal, Nephrology, Neurology, Psychiatry, Pulmonology, Reproductive Medicine
A Guide To Confident Living
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Author : Dr. Norman Vincent Peale
language : en
Publisher: Simon and Schuster
Release Date : 2007-11-01
A Guide To Confident Living written by Dr. Norman Vincent Peale and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-01 with Self-Help categories.
"Change your thoughts and you change your life." -- Norman Vincent Peale A Guide to Confident Living shows you how to release your inner powers to achieve confidence and contentment. Using accessible language, Dr. Peale helps you find the way to new energy that will actually revitalize your life. Here, he offers advice on how to: • free your inner powers • "talk out" your troubles • lose your inferiority complex • achieve a calm center for your life • practice the power of prayer • find freedom from fear and sorrow • attain marital, professional, and personal happiness