Analytic Inequalities (eBook)

Nicholas D. Kazarinoff (Autor)

eBook Download: EPUB

2014
96 Seiten
Dover Publications (Verlag)
978-0-486-79817-2 (ISBN)

Infos

Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral.Beginning with explanations of the algebra of inequalities and conditional inequalities, the text introduces a pair of ancient theorems and their applications. Explorations of inequalities and calculus cover the number e, examples from the calculus, and approximations by polynomials. The final sections present modern theorems, including Bernstein's proof of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. Numerous figures, problems, and examples appear throughout the book, offering students an excellent foundation for further studies of calculus.

Autor

Nicholas D. Kazarinoff was Professor of Mathematics at the University of Michigan and the State University of New York at Buffalo.

Produkt-Details

• Erscheint lt. Verlag: 19.8.2014
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Algebra • algebra of inequalities • analytic inequalities • ancient theorems • approximations by polynomials • bernsteins proof • books on math, mathematical analysis, mathematical studies, study of inequalities in math, concepts of continuity, derivatives, integral numbers, algebra of inequalities, conditional inequalities calculus, the number e, approximations by polynomials, bernsteins proof, weierstrass approximation theorem, cauchy, bunyakovskii, hölder, minkowski inequalities • bunyakovskii • Calculus • Cauchy • concepts of continuity • Conditional Inequalities • Derivatives • Functional Analysis • Holder • integral numbers • math applications • Mathematical Analysis • mathematical studies • math theory • minkowski inequalities • modern theorems • study of inequalities in math • the number e • undergraduate math • Weierstrass approximation theorem
• ISBN-10: 0-486-79817-8 / 0486798178
• ISBN-13: 978-0-486-79817-2 / 9780486798172