
Author 
Adrian Banner 
ISBN10 
140083578X 
Year 
20091128 
Pages 
752 
Language 
en 
Publisher 
Princeton University Press 
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For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this userfriendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any singlevariable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, nonintimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an "inner monologue"the train of thought students should be following in order to solve the problemproviding the necessary reasoning as well as the solution. The book's emphasis is on building problemsolving skills. Examples range from easy to difficult and illustrate the indepth presentation of theory. The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus. Serves as a companion to any singlevariable calculus textbook Informal, entertaining, and not intimidating Informative videos that follow the booka full fortyeight hours of Banner's Princeton calculusreview courseis available at Adrian Banner lectures More than 475 examples (ranging from easy to hard) provide stepbystep reasoning Theorems and methods justified and connections made to actual practice Difficult topics such as improper integrals and infinite series covered in detail Tried and tested by students taking freshman calculus

Author 
Adrian Banner 
ISBN10 
0691130884 
Year 
20070325 
Pages 
752 
Language 
en 
Publisher 
Princeton University Press 
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For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this userfriendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any singlevariable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, nonintimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an "inner monologue"the train of thought students should be following in order to solve the problemproviding the necessary reasoning as well as the solution. The book's emphasis is on building problemsolving skills. Examples range from easy to difficult and illustrate the indepth presentation of theory. The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus. Serves as a companion to any singlevariable calculus textbook Informal, entertaining, and not intimidating Informative videos that follow the booka full fortyeight hours of Banner's Princeton calculusreview courseis available at Adrian Banner lectures More than 475 examples (ranging from easy to hard) provide stepbystep reasoning Theorems and methods justified and connections made to actual practice Difficult topics such as improper integrals and infinite series covered in detail Tried and tested by students taking freshman calculus
For many students, calculus can be the most mystifying and frustrating course they will ever take. The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. All of the material in this userfriendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any singlevariable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, nonintimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an "inner monologue"the train of thought students should be following in order to solve the problemproviding the necessary reasoning as well as the solution. The book's emphasis is on building problemsolving skills. Examples range from easy to difficult and illustrate the indepth presentation of theory. The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus. Serves as a companion to any singlevariable calculus textbook Informal, entertaining, and not intimidating Informative videos that follow the booka full fortyeight hours of Banner's Princeton calculusreview courseis available at Adrian Banner lectures More than 475 examples (ranging from easy to hard) provide stepbystep reasoning Theorems and methods justified and connections made to actual practice Difficult topics such as improper integrals and infinite series covered in detail Tried and tested by students taking freshman calculus

Author 
Raffi Grinberg 
ISBN10 
9781400883134 
Year 
20170103 
Pages 
200 
Language 
en 
Publisher 
Princeton University Press 
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Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proofbased math. Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a twostep approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding. Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver, this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs. The essential “lifesaver” companion for any course in real analysis Clear, humorous, and easytoread style Teaches students not just what the proofs are, but how to do them—in more than 40 workedout examples Every new definition is accompanied by examples and important clarifications Features more than 20 “fill in the blanks” exercises to help internalize proof techniques Tried and tested in the classroom

Author 
Steven J. Miller 
ISBN10 
9781400885381 
Year 
20170516 
Pages 
752 
Language 
en 
Publisher 
Princeton University Press 
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The essential lifesaver for students who want to master probability For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete standalone introduction to the subject or as a supplement for a course, this accessible and userfriendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, workedout problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement—both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a course Numerous workedout examples Lectures based on the chapters are available free online Intuition of problems emphasized first, then technical proofs given Appendixes review proof techniques Relaxed, conversational approach

Author 
Silvanus P. Thompson 
ISBN10 
9781466866355 
Year 
20140318 
Pages 
336 
Language 
en 
Publisher 
St. Martin's Press 
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Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

Author 
Colin Adams 
ISBN10 
9781627798853 
Year 
20151006 
Pages 
256 
Language 
en 
Publisher 
Times Books 
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Written by three giftedand funnyteachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on examsall the tricks of the trade that will make learning the material of firstsemester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mindexpanding experience but also fantastic fun.

Author 
Kuldeep Singh 
ISBN10 
9780199654444 
Year 
201310 
Pages 
608 
Language 
en 
Publisher 
Oxford University Press 
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Linear algebra is a fundamental area of mathematics, and arguably the most powerful mathematical tool ever developed. This dynamic and engaging book uses numerous examples, question and answer sections, and historical biographies to provide an introduction to linear algebra for undergraduates in mathematics, the physical sciences and engineering.
Updated for the 2004 specification, these new Core books are in full colour to ease the transition from GCSE to A Level. Tailormade for the new specification and written by members of an experienced Senior Examining Team, you can be sure they provide everything students need to succeed.

Author 
W. Michael Kelley 
ISBN10 
9781615646975 
Year 
20131107 
Pages 
576 
Language 
en 
Publisher 
Penguin 
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Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The bestselling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. Includes 1,000 problems with comprehensive solutions Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps Kelley is a former awardwinning calculus teacher

Author 
Greg Hill 
ISBN10 
9781440512131 
Year 
20110618 
Pages 
320 
Language 
en 
Publisher 
Adams Media 
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Calculus is the basis of all advanced science and math. But it can be very intimidating, especially if you're learning it for the first time! If finding derivatives or understanding integrals has you stumped, this book can guide you through it. This indispensable resource offers hundreds of practice exercises and covers all the key concepts of calculus, including: Limits of a function Derivatives of a function Monomials and polynomials Calculating maxima and minima Logarithmic differentials Integrals Finding the volume of irregularly shaped objects By breaking down challenging concepts and presenting clear explanations, you'll solidify your knowledge baseand face calculus without fear!

Author 
Steven J. Miller 
ISBN10 
9781400885381 
Year 
20170516 
Pages 
752 
Language 
en 
Publisher 
Princeton University Press 
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The essential lifesaver for students who want to master probability For students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete standalone introduction to the subject or as a supplement for a course, this accessible and userfriendly study guide helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, workedout problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement—both in the guide and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a course Numerous workedout examples Lectures based on the chapters are available free online Intuition of problems emphasized first, then technical proofs given Appendixes review proof techniques Relaxed, conversational approach

Author 
Silvanus Phillips Thompson 
ISBN10 
9781409724674 
Year 
200805 
Pages 
426 
Language 
en 
Publisher 
Johnston Press 
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 Excerpt: ...earth. r' = radius of moon, or other body. P = moon's horizontal parallax = earth's angular semidiameter as seen from the moon. f = moon's angular semidiameter. Now = P (in circular measure), r'r = r (in circular measure);.'. r: r':: P: P', or (radius of earth): (radios of moon):: (moon's parallax): (moon's semidiameter). Examples. 1. Taking the moon's horizontal parallax as 57', and its angular diameter as 32', find its radius in miles, assuming the earth's radius to be 4000 miles. Here moon's semidiameter = 16';.. 4000::: 57': 16';.. r = 400 16 = 1123 miles. 2. The sun's horizontal parallax being 8"8, and his angular diameter 32V find his diameter in miles. ' Am. 872,727 miles. 3. The synodic period of Venus being 584 days, find the angle gained in each minute of time on the earth round the sun as centre. Am. l"54 per minute. 4. Find the angular velocity with which Venus crosses the sun's disc, assuming the distances of Venus and the earth from the sun are as 7 to 10, as given by Bode's Law. Since (fig. 50) S V: VA:: 7: 3. But Srhas a relative angular velocity round the sun of l"54 per minute (see Example 3); therefore, the relative angular velocity of A V round A is greater than this in the ratio of 7: 3, which gives an approximate result of 3"6 per minute, the true rate being about 4" per minute. Annual ParaUax. 95. We have already seen that no displacement of the observer due to a change of position on the earth's surface could apparently affect the direction of a fixed star. However, as the earth in its annual motion describes an orbit of about 92 million miles radius round the sun, the different positions in space from which an observer views the fixed stars from time to time throughout the year must be separated ...

Author 
Dale W. Johnson, M.A. 
ISBN10 
9780470288214 
Year 
20080602 
Pages 
291 
Language 
en 
Publisher 
Visual 
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Calculus can test the limits of even the most advanced math students. This visual, easytofollow book deconstructs complex mathematical concepts in a way that’s infinitely easier to grasp. With clear, colorcoded methods, you’ll get stepbystep instructions on solving problems using limits, derivatives, differentiation, curve sketching, and integrals. Easy access to concepts means you don’t have to sort through lengthy instructional text, and you can refer to the Appendix for a look at common differentiation rules, integration formulas, and trigonometric identities.

Author 
Edward Hurst 
ISBN10 
1848002904 
Year 
20090108 
Pages 
344 
Language 
en 
Publisher 
Springer Science & Business Media 
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Helps to ease the transition between school/college and university mathematics by (re)introducing readers to a range of topics that they will meet in the first year of a degree course in the mathematical sciences, refreshing their knowledge of basic techniques and focussing on areas that are often perceived as the most challenging. Each chapter starts with a "Test Yourself" section so that readers can monitor their progress and readily identify areas where their understanding is incomplete. A range of exercises, complete with full solutions, makes the book ideal for selfstudy.