{"product_id":"100-1-problems-in-advanced-calculus-a-creative-journey-through-the-fjords-of-mathematical-analysis-for-beginners-paperback","title":"100+1 Problems in Advanced Calculus: A Creative Journey Through the Fjords of Mathematical Analysis for Beginners - Paperback","description":"\u003cp\u003eby \u003cb\u003ePaolo Toni\u003c\/b\u003e (Author), \u003cb\u003ePier Domenico Lamberti\u003c\/b\u003e (Author), \u003cb\u003eGiacomo Drago\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThis book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination.\u003cbr\u003eIn this work, all the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l'Hospital), graphs of functions, and Riemann integrals and antiderivatives. Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented. Formalism is kept at a minimum, and solutions can be found at the end of each chapter.\u003cbr\u003eInstructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well.\u003cbr\u003e\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination.\u003cbr\u003eIn this work, all the fundamental concepts seen in a first-year Calculus course are covered. Problems touch on topics like inequalities, elementary point-set topology, limits of real-valued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and l'Hospital), graphs of functions, and Riemann integrals and antiderivatives. Every chapter starts with a theoretical background, in which relevant definitions and theorems are provided; then, related problems are presented. Formalism is kept at a minimum, and solutions can be found at the end of each chapter.\u003cbr\u003eInstructors and students of Mathematical Analysis, Calculus and Advanced Calculus aimed at first-year undergraduates in Mathematics, Physics and Engineering courses can greatly benefit from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003cb\u003ePaolo Toni\u003c\/b\u003e is a Teacher of Mathematics and Physics, retired from Liceo Scientifico E. Fermi in Padua, Italy, with prolific research activities on didactics of mathematics. He obtained a Mathematics degree (1972) from the University of Firenze and authored a few books, beginning with recreational mathematics. For many years, Prof. Toni took an active role in mathematical competitions in his home country, having co-created, directed, and promoted the \"Città di Padova\" Mathematical Competition, aimed at students of secondary level.\u003cbr\u003e\u003cb\u003ePier Domenico Lamberti\u003c\/b\u003e is a Full Professor in Mathematical Analysis at the University of Padua, Italy. He got a PhD in Mathematics from the University of Padua (2003), and has been visiting researcher at the University of Cardiff, UK; University of Athens, Greece; and Complutense University of Madrid, Spain. His research interests lie in mathematical analysis, with focus on partial differential equations, spectral theory, theory of functions spaces, functional analysis, calculus of variations, and homogenization theory. \u003cbr\u003e\u003cb\u003eGiacomo Drago \u003c\/b\u003eis a Teacher of Mathematics and Physics at Istituto Tecnico Economico Calvi in Padua, Italy. He obtained a Master degree in Mathematics (2011) from the University of Padua, Italy. As a student, he distinguished himself in the national finals of three consecutive editions (2004-2006) of the Kangourou Mathematics Competitions. \u003cbr\u003e\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 220\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.51 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e March 10, 2023\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42738886934591,"sku":"9783030918651","price":126.34,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/aa525987d213ee54c1ea7482b097d615.webp?v=1765154862","url":"https:\/\/dhlswag.com\/products\/100-1-problems-in-advanced-calculus-a-creative-journey-through-the-fjords-of-mathematical-analysis-for-beginners-paperback","provider":"BBB","version":"1.0","type":"link"}