By Ivan Savov

Often calculus and mechanics are taught as separate topics. It will not be like that. studying calculus with no mechanics is very dull. studying mechanics with no calculus is lacking the purpose. This textbook integrates either topics and highlights the profound connections among them.

This is the deal. supply me 350 pages of your consciousness, and i'm going to educate you every little thing you must learn about capabilities, limits, derivatives, integrals, vectors, forces, and accelerations. This ebook is the single math booklet you will want for the 1st semester of undergraduate experiences in science.

With concise, jargon-free classes on themes in math and physics, every one part covers one idea on the point required for a first-year college path. Anyone can choose up this ebook and develop into knowledgeable in calculus and mechanics, despite their mathematical background.

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255 256 257 261 264 270 272 273 279 281 284 290 293 iii CONTENTS 6. thirteen 6. 14 6. 15 6. sixteen 6. 17 6. 18 6. 19 6. 20 6. 21 Riemann Sum . . . . . . . . . . . . primary theorem of calculus . evidence of the basic theorem thoughts of integration . . . . . . purposes of integration . . . . . wrong integrals . . . . . . . . . Sequences . . . . . . . . . . . . . . sequence . . . . . . . . . . . . . . . . . Calculus workouts . . . . . . . . . . finish subject end . . . . . . . . . . . . Acknowledgments . . . . . . . . additional examining . . . . . . . . . by-product and indispensable formulation Mechanics formulation . . . . . . . iv . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304 308 311 315 338 347 348 351 363 . . . . . 383 . 383 . 383 . 384 . 404 . 408 CONTENTS v CONTENTS vi Front subject approximately This publication includes brief classes on themes in math and physics. The insurance of every subject is on the intensity required for a university-level path written in a method that's brief and to the purpose. A encouraged reader can simply examine sufficient calculus and mechanics from this publication to get an A at the ultimate examination on those topics. it's going to take you one week to learn this e-book, then you definately will want one other week to perform routines. weeks and also you are performed. Calculus and mechanics should be tricky matters, yet they develop into effortless if you happen to holiday down the techniques into plausible chunks. crucial factor is to profit concerning the connections among options and to appreciate what's going intuitively. each time you find out about a few new thought, you want to attach it with your entire earlier wisdom. talking of prior wisdom. . . with the intention to get off at the correct foot, the ebook starts off with a entire overview of math basics like algebra, equation fixing and services. an individual can choose up this e-book and turn into knowledgeable in calculus and mechanics despite their mathematical heritage. you could bypass the 1st bankruptcy if you happen to believe happy with highschool math ideas, although it can nonetheless be a good suggestion that you can do a flyover for evaluate reasons. vii CONTENTS Why? The genesis of this e-book dates again to my days as an undergraduate scholar while i used to be compelled to buy dear textbooks that have been required for my classes. not just are those textbooks dear, yet also they are lengthy and tedious to learn. the present version of Giancoli is 1040 pages lengthy whereas Stewart is 1311 pages lengthy. i will be able to let you know for a incontrovertible fact that you don’t have to learn 2300 pages to benefit math and physics, so what's the deal? reasons why mainstream textbooks are so large is this permits the textbook publishers to suck more cash out of you. You wouldn’t pay one hundred fifty funds for a three hundred web page textbook now could you? the truth that a brand new variation of the textbook comes out each couple of years with nearly no alterations to the content material indicates that textbook publishers aren't rather out to coach you stuff, yet in simple terms after your cash.

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