Category: Mathematics

An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics)

This undergraduate textbook is meant essentially for a transition direction into greater arithmetic, even though it is written with a broader viewers in mind.  the center and soul of this ebook is challenge fixing, the place each one challenge is punctiliously selected to explain an idea, display a strategy, or to enthuse.  The workouts require particularly huge arguments, inventive methods, or either, hence delivering motivation for the reader.  With a unified method of a various number of issues, this article issues out connections, similarities, and changes between topics every time possible.  This e-book exhibits scholars that arithmetic is a colourful and dynamic human firm by means of together with old views and notes at the giants of arithmetic, via stating present task within the mathematical neighborhood, and by means of discussing many recognized and not more famous questions that stay open for destiny mathematicians.

Ideally, this article may be used for a semester direction, the place the 1st path has no necessities and the second one is a more difficult path for math majors; but, the versatile constitution of the publication permits it for use in numerous settings, together with as a resource of assorted independent-study and study projects.

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Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations

By Raphael Rosen

The new "sine" of mathematical geekdom!

Do you dream approximately lengthy department on your sleep? Does the concept of fixing abstruse equations carry a grin in your face? Do you're keen on celebrating pi each March? Then, Math Geek was once made for you! With this consultant, you will study much more in regards to the strength of numbers as you discover their superb nature in methods you may have by no means imagined. From manhole covers to bubbles to subway maps, each one web page supplies a glimpse of the area via well known mathematicians' eyes and divulges how their theorems and equations will be utilized to almost every thing you come upon. overlaying dozens of your favourite math issues, you will discover interesting solutions to questions like:

  • How are the ready instances for buses determined?
  • Why is Romanesco Broccoli so mesmerizing?
  • How do you divide a cake evenly?
  • Should you run or stroll to prevent rain showers?

choked with compelling mathematical causes, Math Geek sheds mild at the brilliant global of numbers hidden deep inside your day by day life.

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Advanced Calculus

This vintage textual content through a amazing mathematician and previous Professor of arithmetic at Harvard collage, leads scholars conversant in basic calculus into confronting and fixing extra theoretical difficulties of complicated calculus. In his preface to the 1st variation, Professor Widder additionally recommends numerous methods the e-book can be utilized as a textual content in either utilized arithmetic and engineering.
Believing that readability of exposition relies principally on precision of assertion, the writer has taken pains to nation precisely what's to be proved in each case. each one part involves definitions, theorems, proofs, examples and routines. An attempt has been made to make the assertion of every theorem so concise that the scholar can see at a look the basic hypotheses and conclusions.
For this moment variation, the writer has greater the remedy of Stieltjes integrals to make it extra necessary to the reader below conversant in the elemental proof approximately the
Riemann vital. furthermore the fabric on sequence has been augmented by way of the inclusion of the strategy of partial summation of the Schwarz-Holder inequalities, and of extra effects approximately energy sequence. rigorously chosen workouts, graded in trouble, are present in abundance through the ebook; solutions to lots of them are contained in a last section.

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Schaum's Outline of College Algebra, 4th Edition (Schaum's Outlines)

Tough attempt Questions? ignored Lectures? now not adequate Time?

Fortunately, there is Schaum's. This all-in-one-package comprises greater than 1,900 absolutely solved difficulties, examples, and perform routines to sharpen your problem-solving talents. Plus, you may have entry to 30 special movies that includes Math teachers who clarify tips to resolve the main quite often proven problems--it's similar to having your personal digital tutor! You'll locate every little thing you want to construct self belief, talents, and information for the top rating possible.

More than forty million scholars have relied on Schaum's to aid them achieve the school room and on assessments. Schaum's is the foremost to swifter studying and better grades in each topic. every one define offers the entire crucial path details in an easy-to-follow, topic-by-topic structure. important tables and illustrations raise your knowing of the topic at hand.

This Schaum's define provides you

  • 1,940 totally solved difficulties
  • Hundreds of extra perform issues of solutions
  • Coverage of all direction concepts

Fully appropriate together with your lecture room textual content, Schaum's highlights the entire vital evidence you must understand. Use Schaum's to shorten your research time--and get your most sensible attempt scores!

Schaum's Outlines--Problem Solved.

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Bob Miller's Calc for the Clueless: Calc I (Bob Miller's Clueless Series)

The first calc examine courses that truly provide scholars a clue.

Bob Miller's student-friendly Calc for the Clueless gains quickly-absorbed, fun-to-use details and aid. scholars will snap up Calc for the Clueless as they discover:

  • Bob Miller's painless and confirmed ideas to studying Calculus
  • Bob Miller's method of looking ahead to difficulties
  • Anxiety-reducing positive aspects on each web page
  • Real-life examples that deliver the mathematics into concentration
  • Quick-take tools tht healthy brief examine periods (and brief consciousness spans)
  • The probability to have a lifestyles, instead of spend it attempting to decipher calc!

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Schaum's Outline of College Mathematics, Fourth Edition (Schaum's Outlines)

By Frank Ayres

Tough attempt Questions? ignored Lectures? now not sufficient Time?

Fortunately for you, there is Schaum's.

More than forty million scholars have relied on Schaum's to assist them achieve the study room and on assessments. Schaum's is the most important to speedier studying and better grades in each topic. each one define offers the entire crucial path info in an easy-to-follow, topic-by-topic structure. you furthermore mght get 1000s of examples, solved difficulties, and perform routines to check your skills.

This Schaum's define supplies you

  • 1,600 totally solved difficulties
  • Complete evaluate of all direction basics

Fully appropriate together with your school room textual content, Schaum's highlights all of the vital proof you want to be aware of. Use Schaum's to shorten your examine time--and get your top try out scores!

Schaum's Outlines--Problem Solved.

Topics include: components of Algebra; features; Graphs of features; Linear Equations; Simultaneous Linear Equations; Quadratic services and Equations; Inequalities; Locus of an Equation; The instantly Line; households of hetero strains; The Circle; mathematics and Geometric Progressions; limitless Geometric sequence; Mathematical Induction; The Binomial Theorem; diversifications; combos; chance; Determinants of Order and 3; Determinants of Order; structures of Linear Equations; advent to Transformational Geometry; Angles and Arc size; Trigonometric features of a common perspective; Trigonometric services of an Acute attitude; aid to capabilities of confident Acute Angles; Graphs of the Trigonometric features; basic Trigonometric kin and Identities; Trigonometric features of 2 Angles; Sum, distinction, and Product Trigonometric formulation; indirect Triangles; Inverse Trigonometric features; Trigonometric Equations; advanced Numbers; The Conic Sections; changes of Coordinate; issues in area; Simultaneous Quadratic Equations; Logarithms; chronic, Exponential, and Logarithmic Curves; Polynomial Equations, Rational Roots; Irrational Roots of Polynomial Equations; Graphs of Polynomials; Parametric Equations; The spinoff; Differentiation of Algebraic Expressions; purposes of Derivatives; Integration; countless Sequences; endless sequence; continual sequence; Polar Coordinates; creation to the Graphing Calculator; The quantity approach of Algebra; and Mathematical Modeling

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Amor y matemáticas: El corazón de la realidad oculta

By Edward Frenkel, Joan Andreano Weyland

¿Qué sucedería si en clase de arte te enseñaran a pintar una verja? ¿O que jamás te mostraran una pintura ni te hablaran de l. a. existencia de Van Gogh o Picasso? Pues así es como nos han enseñado las matemáticas. En este fascinante libro, uno de los matemáticos más brillantes del momento nos descubre el lado de las matemáticas que jamás hemos visto, barnizadas con toda los angeles belleza y elegancia de una pieza de arte. Frenkel nos sumerge en una disciplina presente en el corazón de toda materia, que une culturas, tiempo y espacio. Y lo hace a través de dos historias, los angeles de los angeles evolución y los grandes hallazgos de las matemáticas, y, de forma paralela, los angeles de su biografía own, que le llevó de ser rechazado en l. a. facultad de matemáticas de Moscú a convertirse en uno de los matemáticos más importantes del siglo xxi. Pero el libro no es sólo una apasionante historia de superación own teñida de divulgación científica, sino que nos introduce en una nueva forma de pensamiento capaz de enriquecer nuestra vida own y ayudarnos a entender mejor el mundo y el lugar que ocupamos en él. Es una invitación a descubrir l. a. magia del universo escondido de las matemáticas.

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Problem-Solving Strategies (Problem Books in Mathematics)

By Arthur Engel

A different choice of pageant difficulties from over twenty significant nationwide and foreign mathematical competitions for prime institution scholars. Written for running shoes and individuals of contests of all degrees as much as the top point, this may entice highschool academics accomplishing a arithmetic membership who desire a variety of straightforward to advanced difficulties and to these teachers wishing to pose a "problem of the week", therefore bringing an artistic surroundings into the school rooms. both, it is a must-have for people attracted to fixing tricky and not easy difficulties. every one bankruptcy starts off with ordinary examples illustrating the important innovations and is through a couple of conscientiously chosen difficulties and their strategies. many of the options are entire, yet a few purely element to the line resulting in the ultimate resolution. as well as being a useful source of mathematical difficulties and answer techniques, this is often the main whole education publication out there.

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An Illustrated Guide to Linear Programming

"I wouldn't hesitate to suggest the book." — Industrial Engineering
Linear programming is a very potent problem-solving device, with functions in company, agriculture, govt, production, transportation, engineering, and plenty of different components. This very readable e-book offers an simple advent to linear programming in a clean, frequently funny style.
Requiring no math past high-school algebra, the ebook indicates how linear programming might help an individual succeed in the optimal answer for a number of numerous difficulties. bankruptcy One introduces the fundamental thoughts of linear programming and discusses its courting to different mathematical versions. bankruptcy discusses the formula of linear-programming difficulties, together with specified remedy of difficulties concerning nutrition, catering, task, and task research. bankruptcy 3 in brief introduces answer recommendations for linear-programming difficulties, emphasizing the graphical strategy. the ultimate bankruptcy describes and formulates a few vital purposes, together with community difficulties, traveling-salesman difficulties and the connection among linear programming and the idea of games.
Finally, an invaluable appendix deals unique statements of definitions, theorems and strategies, in addition to extra computational techniques. Enlivened with over 70 first-class illustrations, this e-book represents a truly obtainable advent to simple linear programming.

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Differential Equations with Linear Algebra

By Matthew R. Boelkins

Linearity performs a serious position within the examine of ordinary differential equations; linear differential equations, particularly structures thereof, exhibit a primary software of linear algebra. In Differential Equations with Linear Algebra, we discover this interaction among linear algebra and differential equations and think about introductory and demanding principles in each one, often throughout the lens of significant difficulties that contain differential equations. Written at a sophomore point, the textual content is obtainable to scholars who've accomplished multivariable calculus. With a systems-first technique, the publication is acceptable for classes for majors in arithmetic, technological know-how, and engineering that learn platforms of differential equations.

due to its emphasis on linearity, the textual content opens with an entire bankruptcy dedicated to crucial rules in linear algebra. encouraged via destiny difficulties in structures of differential equations, the bankruptcy on linear algebra introduces such key principles as platforms of algebraic equations, linear mixtures, the eigenvalue challenge, and bases and size of vector areas. This bankruptcy permits scholars to quick study sufficient linear algebra to understand the constitution of suggestions to linear differential equations and platforms thereof in next examine and to use those principles on a regular basis.

The ebook bargains an example-driven procedure, starting each one bankruptcy with one or motivating difficulties which are utilized in nature. the subsequent bankruptcy develops the math essential to clear up those difficulties and explores similar themes additional. Even in additional theoretical advancements, we use an example-first type to construct instinct and knowing earlier than pointing out or proving common effects. Over a hundred figures supply visible demonstration of key principles; using the pc algebra method Maple and Microsoft Excel are awarded intimately all through to supply extra viewpoint and help scholars' use of expertise in fixing difficulties. every one bankruptcy closes with a number of mammoth tasks for extra examine, lots of that are established in applications.

Errata sheet to be had at: www.oup.com/us/companion.websites/9780195385861/pdf/errata.pdf

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