Archimedes, the Center of Gravity, and the First Law of Mechanics

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ISBN 13 : 9780973291162
Total Pages : 187 pages
Book Rating : 4.2/5 (911 download)

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Book Synopsis Archimedes, the Center of Gravity, and the First Law of Mechanics by : André Koch Torres Assis

Download or read book Archimedes, the Center of Gravity, and the First Law of Mechanics written by André Koch Torres Assis and published by . This book was released on 2008 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Archimedes, the Center of Gravity, and the First Law of Mechanics deals with the most fundamental aspects of physics. The book describes the main events in the life of Archimedes and the content of his works. It goes on to discuss a large number of experiments relating to the equilibrium of suspended bodies under the influence of Earth's gravitational force. All experiments are clearly described and performed with simple, inexpensive materials. These experiments lead to a clear conceptual definition of the center of gravity of material bodies and illustrate practical procedures for locating it precisely. The conditions of stable, neutral, and unstable equilibrium are analyzed. Many equilibrium toys and games are described and explained. Historical aspects of the concept are presented, together with the theoretical values of center of gravity obtained by Archimedes. The book also explains how to build and calibrate precise balances and levers. Several experiments are performed leading to a mathematical definition of the center of gravity and the first law of mechanics, also called the law of the lever. Consequences of this law and different explanations of it are described at the end of the book, together with an exhaustive analysis of the works of Euclid and Archimedes.

The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 9048190916
Total Pages : 499 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering by : S. A. Paipetis

Download or read book The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering written by S. A. Paipetis and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Archimedes is held in high esteem by mathematicians, physicists and engineers as one of the most brilliant scientists of all time. These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering. There are also papers dealing with archaeological aspects and the myths and legends about Archimedes and about the Archimedes Palimpsest. Papers on the following subjects form part of the book: Hydrostatics (buoyancy, fluid pressure and density, stability of floating bodies); Mechanics (levers, pulleys, centers of gravity, laws of equilibrium); Pycnometry (measurement of volume and density); Integral Calculus (Archimedes as the father of the integral calculus, method of exhaustion, approximation of pi, determination of areas and volumes); Mathematical Physics (Archimedes as the father of mathematical physics, Law of the Lever, Law of Buoyancy, Axiomatization of Physics); History of Mathematics and Mechanics (Archimedes’ influence in antiquity, the middle ages, the Renaissance, and modern times; his influence on Leonado da Vinci, Galileo, Newton, and other giants of science and mathematics); Ancient Machines and Mechanisms (catapults, water screws, iron hands, compound pulleys, planetaria, water clocks, celestial globes, the Antikythera Mechanism); Archimedean Solids (their rediscovery in the Rennaisance and their applications in materials science and chemistry); Archimedean Legends (how stories of golden crowns, eureka moments, naked runs, burning mirrors, steam cannons, etc., have influenced us through the ages, whether true or not); The Cattle Problem (how its 18th century rediscovery inspired the study of equations with integer solutions); Teaching the Ideas of Archimedes (how his life and works have influenced the teaching of science, mathematics, and engineering).

A Brief History of Mechanical Engineering

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Publisher : Springer
ISBN 13 : 3319429167
Total Pages : 190 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis A Brief History of Mechanical Engineering by : Uday Shanker Dixit

Download or read book A Brief History of Mechanical Engineering written by Uday Shanker Dixit and published by Springer. This book was released on 2016-08-13 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mechanical engineering? What a mechanical engineering does? How did the mechanical engineering change through ages? What is the future of mechanical engineering? This book answers these questions in a lucid manner. It also provides a brief chronological history of landmark events and answers questions such as: When was steam engine invented? Where was first CNC machine developed? When did the era of additive manufacturing start? When did the marriage of mechanical and electronics give birth to discipline of mechatronics? This book informs and create interest on mechanical engineering in the general public and particular in students. It also helps to sensitize the engineering fraternity about the historical aspects of engineering. At the same time, it provides a common sense knowledge of mechanical engineering in a handy manner.

Body Physics

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ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Body Physics by : Lawrence Davis

Download or read book Body Physics written by Lawrence Davis and published by . This book was released on 201? with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Body Physics was designed to meet the objectives of a one-term high school or freshman level course in physical science, typically designed to provide non-science majors and undeclared students with exposure to the most basic principles in physics while fulfilling a science-with-lab core requirement. The content level is aimed at students taking their first college science course, whether or not they are planning to major in science. However, with minor supplementation by other resources, such as OpenStax College Physics, this textbook could easily be used as the primary resource in 200-level introductory courses. Chapters that may be more appropriate for physics courses than for general science courses are noted with an asterisk symbol (*). Of course this textbook could be used to supplement other primary resources in any physics course covering mechanics and thermodynamics"--Textbook Web page.

University Physics

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Publisher : Academic Press
ISBN 13 : 0323142028
Total Pages : 918 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis University Physics by : George Arfken

Download or read book University Physics written by George Arfken and published by Academic Press. This book was released on 2012-12-02 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics provides an authoritative treatment of physics. This book discusses the linear motion with constant acceleration; addition and subtraction of vectors; uniform circular motion and simple harmonic motion; and electrostatic energy of a charged capacitor. The behavior of materials in a non-uniform magnetic field; application of Kirchhoff's junction rule; Lorentz transformations; and Bernoulli's equation are also deliberated. This text likewise covers the speed of electromagnetic waves; origins of quantum physics; neutron activation analysis; and interference of light. This publication is beneficial to physics, engineering, and mathematics students intending to acquire a general knowledge of physical laws and conservation principles.

The Works of Archimedes

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ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Works of Archimedes by : Archimedes

Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Eureka Man

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Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802719791
Total Pages : 252 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Eureka Man by : Alan Hirshfeld

Download or read book Eureka Man written by Alan Hirshfeld and published by Bloomsbury Publishing USA. This book was released on 2009-09-08 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of us know little about Archimedes other than his "Eureka" exclamation upon discovering that he could immerse an object in a full tub of water and measure the spillage to determine the object's weight. That seemingly simple observation not only proved to King Hieron II of Syracuse that a certain amount of silver had been used in what was supposed to be his solid-gold crown, it established the key principles of buoyancy that govern the flotation of hot-air balloons, ships, and denizens of the sea. Archimedes had a profound impact on the development of mathematics and science: from square roots to irrigation devices; planetariums to the stability of ships; polyhedra to pulleys; number systems to levers; the value of pi to the size of the universe. Yet this same cerebral man developed machines of war so fearsome, they might have sprung from a devil's darkest imagination - indeed, weapons that held at bay the greatest army of antiquity. Ironically, Archimedes' reputation swelled to mythic proportions in the ancient world for his feats of engineering: the hand-cranked irrigation device, commonly known as "Archimedes' screw," and his ingenuous use of levers, pulleys, and ropes to pull, single-handedly, a fully laden ship! His treatises, rediscovered after a thousand years of collective amnesia in Europe, guided nascent thinkers out of the Dark Ages and into the Renaissance. Indeed, Archimedes' cumulative record of achievement-both in breadth and sophistication-places him among the exalted ranks of Aristotle, Leonardo da Vinci, Isaac Newton, and Albert Einstein. Eureka Man brings to life for general readers the genius of Archimedes, offering succinct and understandable explanations of some of his more important discoveries and innovations.

The Illustrated Method of Archimedes

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ISBN 13 : 9781461905417
Total Pages : 48 pages
Book Rating : 4.9/5 (54 download)

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Book Synopsis The Illustrated Method of Archimedes by : Assis Andreu Koch Torres Magnaghi C P

Download or read book The Illustrated Method of Archimedes written by Assis Andreu Koch Torres Magnaghi C P and published by . This book was released on 2014-05-14 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Approximation Methods in Science and Engineering

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Publisher : Springer Nature
ISBN 13 : 1071604805
Total Pages : 544 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Approximation Methods in Science and Engineering by : Reza N. Jazar

Download or read book Approximation Methods in Science and Engineering written by Reza N. Jazar and published by Springer Nature. This book was released on 2020-03-13 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions.

University Physics Volume 1 of 3 (1st Edition Textbook)

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ISBN 13 : 9781998109029
Total Pages : 0 pages
Book Rating : 4.1/5 (9 download)

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Book Synopsis University Physics Volume 1 of 3 (1st Edition Textbook) by : Samuel J. Ling

Download or read book University Physics Volume 1 of 3 (1st Edition Textbook) written by Samuel J. Ling and published by . This book was released on 2023-05-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black & white print. University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity, and magnetism. Volume 3 covers optics and modern physics. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result.

College Physics for AP® Courses

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Publisher :
ISBN 13 : 9781938168932
Total Pages : 1665 pages
Book Rating : 4.1/5 (689 download)

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Book Synopsis College Physics for AP® Courses by : Irna Lyublinskaya

Download or read book College Physics for AP® Courses written by Irna Lyublinskaya and published by . This book was released on 2015-07-31 with total page 1665 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This introductory, algebra-based, two-semester college physics book is grounded with real-world examples, illustrations, and explanations to help students grasp key, fundamental physics concepts. ... This online, fully editable and customizable title includes learning objectives, concept questions, links to labs and simulations, and ample practice opportunities to solve traditional physics application problems."--Website of book.

Mathematics, Education and History

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Publisher : Springer
ISBN 13 : 3319739247
Total Pages : 389 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematics, Education and History by : Kathleen M. Clark

Download or read book Mathematics, Education and History written by Kathleen M. Clark and published by Springer. This book was released on 2018-03-30 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.

An Introduction to Celestial Mechanics

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ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Celestial Mechanics by : Forest Ray Moulton

Download or read book An Introduction to Celestial Mechanics written by Forest Ray Moulton and published by . This book was released on 1914 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Archimedes Palimpsest

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Publisher : Cambridge University Press
ISBN 13 : 9781107014374
Total Pages : 0 pages
Book Rating : 4.0/5 (143 download)

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Book Synopsis The Archimedes Palimpsest by : Reviel Netz

Download or read book The Archimedes Palimpsest written by Reviel Netz and published by Cambridge University Press. This book was released on 2011-11-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Archimedes Palimpsest is the name given to a Byzantine prayer-book which was written over a number of earlier manuscripts. This volume provides colour images and transcriptions of three of the texts recovered from it. Pride of place goes to the treatises of Archimedes, including the only Greek version of Floating Bodies, and the unique copies of Method and Stomachion. This transcription provides many different readings from those made by Heiberg from what he termed Codex C in his edition of the works of Archimedes of 1910-1915. Secondly, fragments of two previously unattested speeches by the Athenian orator Hyperides, which are the only Hyperides texts ever to have been found in a codex. Thirdly, a fragment from an otherwise unknown commentary on Aristotle's Categories. In each case advanced image-processing techniques have been used to create the images, in order to make the text underneath legible.

Time's Arrow and Archimedes' Point

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Publisher : Oxford University Press
ISBN 13 : 0199839328
Total Pages : 321 pages
Book Rating : 4.1/5 (998 download)

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Book Synopsis Time's Arrow and Archimedes' Point by : Huw Price

Download or read book Time's Arrow and Archimedes' Point written by Huw Price and published by Oxford University Press. This book was released on 1997-12-04 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why is the future so different from the past? Why does the past affect the future and not the other way around? What does quantum mechanics really tell us about the world? In this important and accessible book, Huw Price throws fascinating new light on some of the great mysteries of modern physics, and connects them in a wholly original way. Price begins with the mystery of the arrow of time. Why, for example, does disorder always increase, as required by the second law of thermodynamics? Price shows that, for over a century, most physicists have thought about these problems the wrong way. Misled by the human perspective from within time, which distorts and exaggerates the differences between past and future, they have fallen victim to what Price calls the "double standard fallacy": proposed explanations of the difference between the past and the future turn out to rely on a difference which has been slipped in at the beginning, when the physicists themselves treat the past and future in different ways. To avoid this fallacy, Price argues, we need to overcome our natural tendency to think about the past and the future differently. We need to imagine a point outside time -- an Archimedean "view from nowhen" -- from which to observe time in an unbiased way. Offering a lively criticism of many major modern physicists, including Richard Feynman and Stephen Hawking, Price shows that this fallacy remains common in physics today -- for example, when contemporary cosmologists theorize about the eventual fate of the universe. The "big bang" theory normally assumes that the beginning and end of the universe will be very different. But if we are to avoid the double standard fallacy, we need to consider time symmetrically, and take seriously the possibility that the arrow of time may reverse when the universe recollapses into a "big crunch." Price then turns to the greatest mystery of modern physics, the meaning of quantum theory. He argues that in missing the Archimedean viewpoint, modern physics has missed a radical and attractive solution to many of the apparent paradoxes of quantum physics. Many consequences of quantum theory appear counterintuitive, such as Schrodinger's Cat, whose condition seems undetermined until observed, and Bell's Theorem, which suggests a spooky "nonlocality," where events happening simultaneously in different places seem to affect each other directly. Price shows that these paradoxes can be avoided by allowing that at the quantum level the future does, indeed, affect the past. This demystifies nonlocality, and supports Einstein's unpopular intuition that quantum theory describes an objective world, existing independently of human observers: the Cat is alive or dead, even when nobody looks. So interpreted, Price argues, quantum mechanics is simply the kind of theory we ought to have expected in microphysics -- from the symmetric standpoint. Time's Arrow and Archimedes' Point presents an innovative and controversial view of time and contemporary physics. In this exciting book, Price urges physicists, philosophers, and anyone who has ever pondered the mysteries of time to look at the world from the fresh perspective of Archimedes' Point and gain a deeper understanding of ourselves, the universe around us, and our own place in time.

An Introduction to the History of Structural Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461229820
Total Pages : 324 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to the History of Structural Mechanics by : Edoardo Benvenuto

Download or read book An Introduction to the History of Structural Mechanics written by Edoardo Benvenuto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the finest I have ever read. To write a foreword for it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.

The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity

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Publisher : Springer Nature
ISBN 13 : 3031179641
Total Pages : 408 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity by : Paul Ramond

Download or read book The First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity written by Paul Ramond and published by Springer Nature. This book was released on 2023-06-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thesis tackles two distinct problems of great interest in gravitational mechanics — one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles. The Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely in a geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits. The thesis is exceptional in the breadth of its scope and achievements. It is clearly and eloquently written, makes excellent use of images, provides careful explanations of the concepts and calculations, and it conveys the author’s personality in a way that is rare in scientific writing, while never sacrificing academic rigor.