Description
An Introduction to Analysis is the ultimate resource for undergraduate students who crave a solid foundation in mathematics. This essential textbook expertly covers fundamental topics in algebra, topology, and calculus, preparing students for advanced mathematical studies. With this book, learners will embark on a journey through rigorous proofs and formal mathematical writing, skills crucial for academic success.
Designed for a one-year course, An Introduction to Analysis comprehensively addresses n-dimensional calculus, starting with differentiation, the Riemann integral, series, and leading to advanced topics like differential forms and Stokes's theorem. This systematic approach ensures that students serious about their mathematical journey can progress quickly and confidently.
Moreover, this invaluable textbook introduces basic concepts of point set topology, including normed and metric spaces, compact sets, and the Baire category theorem. It also delves into vital linear algebra principles such as vector spaces, linear mappings, Jordan normal form, bilinear mappings, and more.
An Introduction to Analysis stands out as a proven educational tool, seamlessly integrating various mathematical disciplines into an approachable format. It's the perfect guide for those pursuing a deeper understanding of mathematics and looking to conquer higher-level courses.
Note: Shipping for this item is free. Please allow up to 6 weeks for delivery. Once your order is placed, it cannot be cancelled. Condition: BRAND NEW. ISBN: 9780691178790. Format: Trade binding. Year: 2018. Publisher: Princeton University Press.
Note: Shipping for this item is free. Please allow up to 6 weeks for delivery. Once your order is placed, it cannot be cancelled.
Condition: BRAND NEW
ISBN: 9780691178790
Format: Trade binding
Year: 2018
Publisher: Princeton University Press
Description:
An essential undergraduate textbook on algebra, topology, and calculus
An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs and formal mathematical writing--skills they need to excel.
With a range of problems throughout, An Introduction to Analysis treats n-dimensional calculus from the beginning-differentiation, the Riemann integral, series, and differential forms and Stokes's theorem-enabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings.
Proven in the classroom, An Introduction to Analysis is the first textbook to bring these topics together in one easy-to-use and comprehensive volume.
Provides a rigorous introduction to calculus in one and several variables
Introduces students to basic topology
Covers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings
Discusses differential forms and Stokes's theorem in n dimensions
Also covers the Riemann integral, integrability, improper integrals, and series expansions
Designed for a one-year course, An Introduction to Analysis comprehensively addresses n-dimensional calculus, starting with differentiation, the Riemann integral, series, and leading to advanced topics like differential forms and Stokes's theorem. This systematic approach ensures that students serious about their mathematical journey can progress quickly and confidently.
Moreover, this invaluable textbook introduces basic concepts of point set topology, including normed and metric spaces, compact sets, and the Baire category theorem. It also delves into vital linear algebra principles such as vector spaces, linear mappings, Jordan normal form, bilinear mappings, and more.
An Introduction to Analysis stands out as a proven educational tool, seamlessly integrating various mathematical disciplines into an approachable format. It's the perfect guide for those pursuing a deeper understanding of mathematics and looking to conquer higher-level courses.
Note: Shipping for this item is free. Please allow up to 6 weeks for delivery. Once your order is placed, it cannot be cancelled. Condition: BRAND NEW. ISBN: 9780691178790. Format: Trade binding. Year: 2018. Publisher: Princeton University Press.
Note: Shipping for this item is free. Please allow up to 6 weeks for delivery. Once your order is placed, it cannot be cancelled.
Condition: BRAND NEW
ISBN: 9780691178790
Format: Trade binding
Year: 2018
Publisher: Princeton University Press
Description:
An essential undergraduate textbook on algebra, topology, and calculus
An Introduction to Analysis is an essential primer on basic results in algebra, topology, and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course, this unique textbook also introduces students to rigorous proofs and formal mathematical writing--skills they need to excel.
With a range of problems throughout, An Introduction to Analysis treats n-dimensional calculus from the beginning-differentiation, the Riemann integral, series, and differential forms and Stokes's theorem-enabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology, such as normed and metric spaces, topological spaces, compact sets, and the Baire category theorem. It covers linear algebra as well, including vector spaces, linear mappings, Jordan normal form, bilinear mappings, and normal mappings.
Proven in the classroom, An Introduction to Analysis is the first textbook to bring these topics together in one easy-to-use and comprehensive volume.
Provides a rigorous introduction to calculus in one and several variables
Introduces students to basic topology
Covers topics in linear algebra, including matrices, determinants, Jordan normal form, and bilinear and normal mappings
Discusses differential forms and Stokes's theorem in n dimensions
Also covers the Riemann integral, integrability, improper integrals, and series expansions