Taking the ¿Oof!¿ Out of Proofs

Taking the ¿Oof!¿ Out of Proofs

This book introduces readers to the art of doing mathematical proofs. Proofs are the glue that holds mathematics together. They make connections between math concepts and show why things work the way they do. This book teaches the art of proofs using familiar high school concepts, such as numbers, polynomials, functi......
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<p>This book introduces readers to the art of doing mathematical proofs. Proofs are the glue that holds mathematics together. They make connections between math concepts and show why things work the way they do. This book teaches the art of proofs using familiar high school concepts, such as numbers, polynomials, functions, and trigonometry. It retells math as a story, where the next chapter follows from the previous one.</p><p>Readers will see how various mathematical concepts are tied, will see mathematics is not a pile of formulas and facts, but has an orderlyandbeautifuledifice.</p><p>The author begins with basic rules of logic, and then progresses through the topics already familiar to the students: numbers, inequalities, functions, polynomials, exponents, and trigonometric functions. There are also beautiful proofs for conic sections, sequences, and Fibonacci numbers. Each chapter has exercises for the reader.</p><p><b>Reviewer Comments:</b></p><p>¿I find the book very impre
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Beskrivelse
This book introduces readers to the art of doing mathematical proofs. Proofs are the glue that holds mathematics together. They make connections between math concepts and show why things work the way they do. This book teaches the art of proofs using familiar high school concepts, such as numbers, polynomials, functions, and trigonometry. It retells math as a story, where the next chapter follows from the previous one.Readers will see how various mathematical concepts are tied, will see mathematics is not a pile of formulas and facts, but has an orderlyandbeautifuledifice.The author begins with basic rules of logic, and then progresses through the topics already familiar to the students: numbers, inequalities, functions, polynomials, exponents, and trigonometric functions. There are also beautiful proofs for conic sections, sequences, and Fibonacci numbers. Each chapter has exercises for the reader.Reviewer Comments:“I find the book very impressive. The choice and sequence of topics is excellent, and it is wonderful to have all of these things together in one volume. Theorems are clearly stated, and proofs are accurate.” -- Michael ComenetzThe thoroughness of the narrative is one of the main strengths of the book. The book provides a perfect illustration of mathematical thinking. Each step of a given derivation is precise and clear.-- Julie GershunskayaDraganov’s book stands out from the many competing books. Draganov’s goal is to show that mathematics depends on the notion of proof. Unlike other transitions books, he addresses mathematical topics at an accessible level rather than topics studied later in the university curriculum. –Ken Rosen

Produktinformasjon

Oppdag "Taking the ¿Oof!¿ Out of Proofs"

Er matematikk en utfordring for deg? Ønsker du å mestre kunsten å bevise? Med boken Taking the ¿Oof!¿ Out of Proofs blir dine matematiske bekymringer raskt en saga blott! Denne boken gjør det enklere å forstå og lage matematiske bevis ved hjelp av kjente høyere nivå-konsepter som tall, polynomer, funksjoner og trigonometri.

Hvorfor Velge "Taking the ¿Oof!¿ Out of Proofs"?

  • Pedagogisk tilnærming: Boken tar deg med fra grunnelementene i logikk til mer komplekse emner på en tilgjengelig måte.
  • Strukturert læring: Hver kapittel bygd opp slik at det naturlig følger fra det forrige, som en spennende matematisk historie.
  • Ulike emner: Fra tall og ulikheter til polynomer og trigonometriske funksjoner – dekker det meste du trenger å vite.
  • Øvelser for mestring: Hver seksjon inkluderer oppgaver som hjelper deg å anvende det du har lært, og forsterke forståelsen.

Dykk Inn i Verdenen av Bevis!

Med Taking the ¿Oof!¿ Out of Proofs innser du at matematikk ikke bare er en haug med formler, men en vakker struktur som henger sammen. Geometriske bevis, sekvenser, Fibonacci-tall – alt er inkludert! Du vil se at disse konseptene kan være fascinerende, og ikke bare et mareritt.

Kundevurderinger

“Imponerende! Boken kobler godt sammen emnene. Den er en utmerket ressurs.” – Michael Comenetz

“Dette er en perfekt illustrasjon av matematiske tankeganger. Klare og presise utledninger!” – Julie Gershunskaya

Er du klar for å ta steget inn i den fascinerende verden av matematiske bevis? Legg til Taking the ¿Oof!¿ Out of Proofs i din læringsverktøykasse i dag!

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