Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and ... (Undergraduate Lecture Notes in Physics)

By Paul J. Nahin

What’s the purpose of calculating certain integrals because you can’t probably do them all?.

What makes doing the explicit integrals during this e-book of worth aren’t the categorical solutions we’ll receive, yet relatively the tools we’ll use in acquiring these solutions; equipment you should use for comparing the integrals you are going to come across within the future.

This booklet is written in a light-hearted demeanour for college kids who've accomplished the 1st yr of faculty or highschool AP calculus and feature just a little of publicity to the idea that of a differential equation. each result's totally derived. while you're desirous about certain integrals, then it is a publication for you.

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Graphs and Cubes (Universitext)

This introductory textual content in graph concept makes a speciality of partial cubes, that are graphs which are isometrically embeddable into hypercubes of an arbitrary measurement, in addition to bipartite graphs, and cubical graphs. at present, Graphs and Cubes is the one publication available to buy that provides a accomplished insurance of cubical graph and partial dice theories.  Many workouts, besides ancient notes, are integrated on the finish of each bankruptcy, and readers are inspired to discover the routines totally, and use them as a foundation for learn tasks.

The must haves for this article comprise familiarity with uncomplicated mathematical techniques and techniques at the point of undergraduate classes in discrete arithmetic, linear algebra, team thought, and topology of Euclidean areas. whereas the booklet is meant for lower-division graduate scholars in arithmetic, it is going to be of curiosity to a wider viewers; due to their wealthy structural homes, partial cubes seem in theoretical desktop technological know-how, coding concept, genetics, or even the political and social sciences.

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The Arithmetic of Life and Death

By George Shaffner

Even if you already know it or now not, numbers are everywhere--and essential to just about each aspect of your lifestyles . . . out of your subsequent bring up in pay to the inevitable upward push of inflation, your weekly kinfolk finances in your finish of the nationwide debt. And as George Shaffner amazingly finds, there are discerning solutions (and a superb degree of convenience) in numbers. within the mathematics of existence, he applies the elemental rules of mathematics--addition, subtraction, multiplication, and division--to essentially the most profound and simply undeniable complicated questions of our time.

Illuminated with anecdotes, humor, and perception, every one bankruptcy explains a distinct a part of existence that may be understood purely throughout the magic of numbers. no matter if it really is an unconventional conception on why extra issues get it wrong than correct, an easy calculation of ways a lot it is going to rate you to smoke for a life-time, why crime (accumulatively) does not pay, or a glimpse into the chance of existence after loss of life, this enlightening and lucidly reasoned publication will perpetually switch how you take into consideration numbers--and the realm round you.

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Early Mathematics Learning: Selected Papers of the POEM 2012 Conference

By Ulrich Kortenkamp, Birgit Brandt, Christiane Benz, Gotz Krummheuer, Silke Ladel, Rose Vogel

-Presents state of the art study on early youth arithmetic education
-Discusses beginning issues for study by way of offering open learn questions
-Focuses at the pressure among guide and development of knowledge
-Includes examine on layout of studying possibilities and improvement of mathematical thinking

​This booklet will assemble present examine in early early life arithmetic schooling. a unique spotlight will be the stress among guideline and building of data. The booklet comprises learn at the layout of studying possibilities, the improvement of mathematical pondering, the impression of the social atmosphere and the professionalization of nursery teachers.​

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Explorations in Complex Analysis (Classroom Resource Materials)

This e-book is written for arithmetic scholars who've encountered easy complicated research and wish to discover extra complex venture and/or examine issues. it can be used as (a) a complement for the standard undergraduate complicated research path, permitting scholars in teams or as participants to discover complex themes, (b) a undertaking source for a senior capstone direction for arithmetic majors, (c) a advisor for a sophisticated scholar or a small workforce of scholars to independently opt for and discover an undergraduate learn subject, or (d) a portal for the mathematically curious, a hands-on creation to the beauties of complicated research. examine issues within the publication contain advanced dynamics, minimum surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete advanced research through circle packing. the character of this publication isn't like many arithmetic texts: the point of interest is on student-driven and technology-enhanced research. Interlaced within the interpreting for every bankruptcy are examples, routines, explorations, and initiatives, approximately all associated explicitly with desktop applets for visualisation and hands-on manipulation. There are greater than 15 Java applets that permit scholars to discover the learn issues with no the necessity for getting extra software program.

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The Divine Proportion: A Study in Mathematical Beauty (Dover Books on Mathematics)

By H. E. Huntley

Using easy mathematical formulation, so much as easy as Pythagoras's theorem and requiring just a very restricted wisdom of arithmetic, Professor Huntley explores the interesting courting among geometry and aesthetics. Poetry, styles like Pascal's triangle, philosophy, psychology, song, and dozens of easy mathematical figures are enlisted to teach that the "divine percentage" or "golden ratio" is a characteristic of geometry and research which awakes answering echoes within the human psyche. once we pass judgement on a piece of artwork aesthetically fulfilling, in response to his formula, we're making it agree to a trend whose define is laid down in easy geometrical figures; and it's the research of those figures which types the middle of Professor Huntley's book.
For the thinker, scientist, poet, artwork historian, song listener, artist, in addition to the final reader who desires to comprehend extra concerning the attention-grabbing homes of numbers, it is a superbly written, interesting account of the hunt for a evidently manifested aesthetic that has occupied guy when you consider that he first requested the query "why?"
"This is a pleasant booklet to learn. . . . It wanders right here and there via probably the most beautiful byways of easy arithmetic, returning consistently to the eccentricities and pleasures of the golden part. it is a browser's publication — a contented, untidy touring or bedside e-book in the event you understand how to benefit from the allure of numbers and shapes." — Dr. J. Bronowski, The Salk Institute.

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A Mathematical History of the Golden Number (Dover Books on Mathematics)

By Roger Herz-Fischler

The first entire, in-depth examine of the origins of department in severe and suggest ratio (DEMR)-"the Golden Number"-this textual content charts each element of this crucial mathematical concept's historical improvement, from its first unequivocal visual appeal in Euclid's Elements through the 18th century.
Readers will discover a unique research of the position of DEMR within the Elements and of its historic implications. this can be via a dialogue of different mathematical themes and of proposals through smooth commentators about the courting of those recommendations to DEMR. Following chapters talk about the Pythagoreans, examples of the pentagram sooner than four hundred H.C., and the writings of pre-Euclidean mathematicians. the writer then provides his personal arguable perspectives at the genesis, early improvement and chronology of DEMR. the second one 1/2 the ebook lines DEMR's post-Euclidean improvement in the course of the later Greek interval, the Arabic international, India, and into Europe. The coherent yet rigorous presentation locations mathematicians' paintings in the context in their time and dearly explains the historic transmission in their effects. a number of figures support make clear the discussions, a necessary consultant explains abbreviations and emblems, and an in depth appendix defines terminology for DEMR during the ages.
This paintings can be of curiosity not just to mathematicians but in addition to classicists, archaeologists, historians of technology and someone drawn to the transmission of mathematical principles. Preface to the Dover variation. Foreword. A consultant for Readers. creation. Appendixes. Corrections and Additions. Bibliography.

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A Combinatorial Introduction to Topology (Dover Books on Mathematics)

By Michael Henle

The production of algebraic topology is a tremendous accomplishment of 20th-century arithmetic. The aim of this e-book is to teach how geometric and algebraic principles met and grew jointly into a major department of arithmetic within the contemporary prior. The publication additionally conveys the joys and experience that may be a part of a mathematical investigation.
Combinatorial topology has a wealth of purposes, lots of which consequence from connections with the idea of differential equations. because the writer issues out, "Combinatorial topology is uniquely the topic the place scholars of arithmetic lower than graduate point can see the 3 significant divisions of arithmetic — research, geometry, and algebra — operating jointly amicably on vital problems."
To facilitate knowing, Professor Henle has intentionally limited the subject material of this quantity, focusing specifically on surfaces as the theorems could be simply visualized there, encouraging geometric instinct. additionally, this quarter offers many fascinating purposes bobbing up from platforms of differential equations. to light up the interplay of geometry and algebra, a unmarried very important algebraic instrument — homology — is built in detail.
Written for upper-level undergraduate and graduate scholars, this booklet calls for no past acquaintance with topology or algebra. aspect set topology and staff idea are constructed as they're wanted. furthermore, a complement surveying aspect set topology is incorporated for the scholar and for the teacher who needs to coach a mix of element set and algebraic topology. A wealthy collection of difficulties, a few with ideas, are built-in into the text.

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