What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry.
In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.
Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before.
At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.
Everything you need to pass the exam and get the college credit you deserve.
CLEP* is the most popular credit-by-examination program in the country, accepted by more than 2,900 colleges and universities. For over 15 years, REA has helped students pass the CLEP* exam and earn college credit while reducing their tuition costs.
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An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.
Instructors will find the latest edition pitched at a suitable level of difficulty and will appreciate its gradual increase in the level of sophistication as the student progresses through the book. Rather than inserting superficial applications at the expense of important mathematical concepts, the Beachy and Blair solid, well-organized treatment motivates the subject with concrete problems from areas that students have previously encountered, namely, the integers and polynomials over the real numbers.
Supplementary material for instructors and students available on the books Web site: www.math.niu.edu/~beachy/abstract_algebra/
An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and theSecond Edition also features: Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB® An appendix that contains proofs of various theorems and other material
This user-friendly guide explains high-performance fasteners, plumbing, and all the other hardware used by racers, rodders, restorers and all other auto enthusiasts. Subjects include hose sizes, fittings, materials, routing and installation tips, heat shielding, brake, fuel, coolant, and oil lines, as well as fastener technology such as thread sizing, clamping loads, bolt stretch, and fastener styles.
Now updated with 30% new material, Roark Formulas for Stress and Strain, Seventh Edition, is the ultimate resource for designers, engineers, and analysts who need to calculate loads and stress. This landmark reference from Warren Young and Richard Budynas provides you with equations and diagrams of structural properties in an easy-to-use, thumb-through format. Updated, with a user-friendly page layout, this new edition includes expanded coverage of joints, bearing and shear stress, experimental stress analysis, and stress concentrations, as well as material behavior coverage and stress and strain measurement. You’ll also find expanded tables and cases; improved notations and figures in the tables; consistent table and equation numbering; and verification of correction factors.
Every NASCAR fan—at one time or another—asks the same question: Why isn’t my favorite driver winning? This is your chance to discover how much more there is to NASCAR than “Go fast, turn left and don’t crash.” If you’ve ever wondered why racecars don’t have mufflers, how “bump drafting” works, or what in the world “Let’s go up a pound on the right rear and add half a round of wedge” means, The Physics of NASCAR is for you.
In this fast-paced investigation into the adrenaline-pumping world of NASCAR, a physicist with a passion uncovers what happens when the rubber hits the road and 800-horsepower vehicles compete at 190 miles per hour only inches from one another.
Diandra Leslie-Pelecky reveals how and why drivers trust the engineering and science their teams literally build around them not only to get them across the finish line in first place, but also to keep them alive. Leslie-Pelecky is a physicist in love with the sport’s beauty and power and is uniquely qualified to explain exactly how physics translates into winning races.
Based on the author’s extensive access to race shops, pit crews, crew chiefs and mechanics, this book traces the life cycle of a race car from behind the scenes at top race shops to the track. The Physics of NASCAR takes readers right into the ultra competitive world of NASCAR, from the champion driver’s hot seat behind the detachable steering wheel to the New Zealander nicknamed Kiwi in charge of shocks for the No. 19 car.
Diandra Leslie-Pelecky tells her story in terms anyone who drives a car—and maybe occasionally looks under the hood--can understand. How do drivers walk away from serious crashes? How can two cars travel faster together than either car can on its own? How do you dress for a 1800°F gasoline fire? In simple yet detailed, high-octane prose, this is the ultimate thrill ride for armchair speed demons, auto science buffs, and NASCAR fans at every level of interest.
Readers, start your engines.
The coverage of this book is based on the syllabus requirements of the BTEC First in Vehicle Technology, BTEC National in Vehicle Repair and Technology, and the IMI Certificate and Diploma in Vehicle Maintenance and Repair, but will help all automotive students and apprentices at levels 2 and 3 and up to and including HNC/HND, foundation and first degree with their studies and in achieving the Key Skill 'Application of Number' at levels 2 and 3. The book is designed to cater for both light and heavy vehicle courses.
Full worked solutions of most exercises are available as a free download for lecturers only from http://textbooks.elsevier.com.
Allan Bonnick is a motor vehicle education and training consultant and was formerly Head of Motor Vehicle Engineering, Eastbourne College. He is the author of several established automotive engineering textbooks.
In Chapter 1, the author discusses the essential ingredients of a mathematical system, and in the next four chapters covers the basic number systems, decompositions of integers, diophantine problems, and congruences. Chapters 6 through 9 examine groups, rings, domains, fields, polynomial rings, and quadratic domains.Chapters 10 through 13 cover modular systems, modules and vector spaces, linear transformations and matrices, and the elementary theory of matrices. The author, Professor of Mathematics at the University of Pittsburgh, includes many examples and, at the end of each chapter, a large number of problems of varying levels of difficulty.
In 2007, the X Prize Foundation announced that it would give $10 million to anyone who could build a safe, mass-producible car that could travel 100 miles on the energy equivalent of a gallon of gas. The challenge attracted more than one hundred teams from all over the world, including dozens of amateurs. Many designed their cars entirely from scratch, rejecting decades of thinking about what a car should look like.
Jason Fagone follows four of those teams from the build stage to the final race and beyond—into a world in which destiny hangs on a low drag coefficient and a lug nut can be a beautiful talisman. The result is a gripping story of crazy collaboration, absurd risks, colossal hopes, and poignant losses. In an old pole barn in central Illinois, childhood sweethearts hack together an electric-powered dreamboat, using scavenged parts, forging their own steel, and burning through their life savings. In Virginia, an impassioned entrepreneur and his hand-picked squad of speed freaks pool their imaginations and build a car so light that you can push it across the floor with your thumb. In West Philly, a group of disaffected high school students come into their own as they create a hybrid car with the engine of a Harley motorcycle. And in Southern California, the early favorite—a start-up backed by millions in venture capital—designs a car that looks like an alien egg.
Ingenious is a joyride. Fagone takes us into the garages and the minds of the inventors, capturing the fractious yet beautiful process of engineering a bespoke machine. Suspenseful and bighearted, this is the story of ordinary people risking failure, economic ruin, and ridicule to create something vital that Detroit had never pulled off. As the Illinois team wrote in chalk on the wall of their barn, "SOMEBODY HAS TO DO SOMETHING. THAT SOMEBODY IS US."
Integrated throughout the text are real-world applications that emphasize the relevance of thermodynamics principles to some of the most critical problems and issues of today, including a wealth of coverage of topics related to energy and the environment, biomedical/bioengineering, and emerging technologies.
Drawing on physics and mechanical engineering, Steven Vogel looks at how animals swim and fly, modes of terrestrial locomotion, organism responses to winds and water currents, circulatory and suspension-feeding systems, and the relationship between size and mechanical design. He also investigates links between the properties of biological materials--such as spider silk, jellyfish jelly, and muscle--and their structural and functional roles. Early chapters and appendices introduce relevant physical variables for quantification, and problem sets are provided at the end of each chapter. Comparative Biomechanics is useful for physical scientists and engineers seeking a guide to state-of-the-art biomechanics. For a wider audience, the textbook establishes the basic biological context for applied areas--including ergonomics, orthopedics, mechanical prosthetics, kinesiology, sports medicine, and biomimetics--and provides materials for exhibit designers at science museums.Problem sets at the ends of chapters Appendices cover basic background information Updated and expanded documentation and materials Revised figures and text Increased coverage of friction, viscoelastic materials, surface tension, diverse modes of locomotion, and biomimetics
This Level 1 Student Worksheets book contains tasks that help you develop practical skills and prepare you for assessment. The tasks also reinforce the automotive theory that you will learn online and in the classroom. Each worksheet covers individual topics in a step-by-step manner, detailing how to carry out all of the most important tasks contained within the syllabus. Alongside each of these worksheets is a job card that can be filled in and used as evidence towards your qualification.Endorsed by the Institute of the Motor Industry for all of their Level 1 automotive courses. Step-by-step guides to the practical tasks required at all Level 1 qualifications. Job sheets for students to complete and feedback sheets for assessors to complete.
It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived.
As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations.
A comprehensive and comprehensible introduction to the subject, this book is ideal for undergraduates in computer science, physicists, communications engineers, workers involved in artificial intelligence, biologists, psychologists, and physiologists.
Written by an expert with decades of experience as an automotive and diesel technician and instructor, Truck and Trailer Systems offers comprehensive information on medium- and heavy-duty truck service. The book begins by discussing the trucking industry, professional certifications, safety, tools, and measuring equipment. Then, each system is thoroughly covered--from electrical and lighting to brakes and transmissions.
Factory procedures from the most common manufacturers for diagnosis and repair are presented along with annotated photos and diagrams. This practical, authoritative resource is essential for those starting out in the field as well as experienced professionals in need of a detailed, on-the-job reference.
Chapters include:Objectives Notes Cautions Service tips Photos and diagrams Chapter reviews
Truck and Trailer Systems covers:Industry safety Basic electrical Magnetism Batteries Starting system Charging system Lighting and wiring Computer systems Mobile heating, ventilation, and air-conditioning systems Tires, wheels, and wheel end systems Frames and suspensions Steering systems Trailers and fifth wheels Hydraulic brake systems Air brake foundation brakes Air brake air systems Antilock brake systems Drive lines Clutches Drive axles Single and twin countershaft manual transmissions Automated manual transmissions Automatic transmissions Allison transmission overhaul PMI Auxiliary power units
Helps Students Better Understand Numerical Methods through Use of MATLAB®
The authors uniquely emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, making the book useful for students in computational science and engineering. They provide students with simple, clear implementations instead of sophisticated usages of MATLAB functions.
All the Material Needed for a Numerical Analysis Course
Based on the authors’ own courses, the text only requires some knowledge of computer programming, advanced calculus, and difference equations. It includes practical examples, exercises, references, and problems, along with a solutions manual for qualifying instructors. Students can download MATLAB code from www.crcpress.com, enabling them to easily modify or improve the codes to solve their own problems.
If you ever regretted not taking physics in college--or simply want to know how to think like a physicist--this is the book for you. In this bestselling introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.
With its revised illustrations and several updates in the text and list of references, this new edition already includes a number of improvements over the first edition.
Covers everything you need to know about pneumatic tires and their impact on vehicle performance, including mathematic modeling and its practical application
Written by the acknowledged world authority on the topic and the name behind the most widely used model, Pacejka’s ‘Magic Formula’
Updated with the latest information on new and evolving tire models to ensure you can select the right model for your needs, apply it appropriately and understand its limitations
In this well-known resource, leading tire model expert Hans Pacejka explains the relationship between operational variables, vehicle variables and tire modeling, taking you on a journey through the effective modeling of complex tire and vehicle dynamics problems.
Covering the latest developments to Pacejka's own industry-leading model as well as the widely-used models of other pioneers in the field, the book combines theory, guidance, discussion and insight in one comprehensive reference.
While the details of individual tire models are available in technical papers published by SAE, FISITA and other automotive organizations, Tire and Vehicle Dynamics remains the only reliable collection of information on the topic and the standard go-to resource for any engineer or researcher working in the area.New edition of the definitive book on tire mechanics, by the acknowledged world authority on the topicCovers everything an automotive engineer needs to know about pneumatic tires and their impact on vehicle performance, including mathematic modelling and its practical applicationMost vehicle manufacturers use what is commonly known as Pacejka’s ‘Magic Formula’, the tire model developed and presented in this book
Awake Mathemagician Inside You !
- Can you multiply 44465 by 8888 in single line ?
- Can you figure out day on 24/5/2014 in 10 seconds ?
- Can you divide 123456 by 44444 instantaneously ?
- Can you raise number to any integral power ?
- Can you determine divisibility of 124356 by 37 just in 5 seconds ?
- Can you find square root, cube root or any root of any number without using calculator ?
- Can you convert (2134)6 = ( ? )12 in 20 seconds ?
SILENT FEATURES OF BOOK
Introduce VJ's universal divisibility test for all number !
Reveal unique secret behind speed mathematics !
Explain concept behind each method !
Unifies Vedic math, Trachtenberg system and modern math .
Presents faster method for n'th root of any number !
Give quicker methods for converting number from one base to other!
Introduce one-line method to compute root of any number or polynomial equation (VJ's matrix method)
Introduce novel pattern called golden pattern
Golden Lemma and Golden pattern
- Simplify everything right from polynomial multiplication, division , power , root , inverse etc.
- Help to build generic module in high level language to carry out basic operation on polynomial
- Parallel multiplication architecture for multiprocessor environment
- Golden pattern(process) is applicable in many area of algebra.
- Golden pattern is superior over vertically crosswise pattern mentioned in Vedic math.
Now–a -days speed math system ( like Vedic Mathematics , Trachtenberg System) are gaining widespread popularity among students as well as teachers. Speed math refers to faster methods and techniques to solve arithmetic calculation mentally. It saves considerable amount of time in competitive exam. So it is worthy to study speed math.
In order to compute given calculation mentally, one need to recall right kind of specific method (shortcut) out of 1000's. Instead of doing so,
i) Is it possible to compute any arithmetic operation (like addition, multiplication) quickly by using scientific approach ?
ii) Is it possible to derive all methods in speed math by using unique principle ?
iii) Is there any unique secret (principle) behind speed mathematics ?
After researching speed math about 2-3 years, I realized that there is unique secret (principle) behind speed mathematics !! This book explains entire speed mathematics by using single principle and gives introduction to new number system called as global number system. It extends VM framework in some of the area like divisibility, n'th root.
Related Videos / Presentations
MODERN APPROACH TO SPEED MATH SECRET - PAPERBACK EDITION
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Group on mathematics for solving reader's doubt, spreading new insight in mathematics by different experts, bringing different researcher together, boosting number sense / logical thinking in student.
" Essence of mathematics lies in its freedom" - Georg Cantor
" Pure mathematics is, in its way, the poetry of logical ideas." - Albert Einstein
" As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. " - Albert Einstein
“ In my opinion, all things in nature occur mathematically.”
― René Descartes
" Mathematical Knowledge adds vigour to the mind, free it from prejudices & superstition " - John Arbuthnot
Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it." -Tolstoy
"Mathematics is the queen of science, and arithmetic the queen of mathematics."
- Carl Friedrich Gauss
"Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things." - Isaac Newton
"Quantification is ultimate goal of mathematics.." - V. B. Jadhav
"Truth is ultimate goal of supreme knowledge.." - V.B. Jadhav
Essential reading for all those involved in the trade and insurance assessment, as well as for professional vehicle restorers and DIY enthusiasts working on the restoration or adaptation of classic and modern cars.
Helping you overcome these hurdles, Hydraulic Power System Analysis demonstrates modern computer-aided analytical techniques used to model nonlinear, dynamic fluid power systems. Following an overview of fluid power, the authors examine various relevant fluid properties, energy calculations, and steady state and dynamic analysis along with a review of automatic control theory. Turning to modeling, the next few chapters address valves and motors and then apply dynamic modeling to examples relating to pumps, hydrostatic transmissions, and valves. The book includes a unique chapter showing how to combine flow resistance equations with the differential equations governing dynamic system performance. The final chapter translates electrical circuit theory concepts to noise attenuation in fluid power systems.
Illustrated with many equations, practical computer modeling examples, and exercises, Hydraulic Power System Analysis provides a much-needed modernization of dynamic modeling for fluid power systems using powerful computational tools.