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Judul Beginning in Algebraic Geometry / Emily Clader; Dustin Ross
Pengarang Clader, Emily
Ross, Dustin
Penerbitan Singapore : Springer Nature, 2025
Deskripsi Fisik 424p. :ill.
ISBN 9783031888199, 9783031888182
Subjek LINEAR ALGEBRA
Catatan Introductory textbooks on algebraic geometry typically demand a strong mathematical background and can be challenging even for advanced students. While many excellent texts aim to bridge the gap to mastering this rich field, learners who are new to abstract algebra—or who have never studied it through a geometric lens—still often find the subject inaccessible. Beginning in Algebraic Geometry achieves a remarkable balance, offering a rigorous and detailed development of algebraic geometry that is nevertheless intended to be readable by students with only a first course in abstract algebra and linear algebra as prerequisites. Starting from the most fundamental properties of polynomials, the reader is guided one step at a time through affine, projective, and quasiprojective algebraic geometry, with complete justifications along the way of such foundational results as the Nullstellensatz and the Theorem on Fiber Dimensions. Several features of this text ensure that it is accessible to the widest possible audience
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Target Pembaca Tidak ada kode yang sesuai
Lokasi Akses Online https://directory.doabooks.org/handle/20.500.12854/161332
https://library.oapen.org/bitstream/handle/20.500.12657/103560/9783031888199.pdf?sequence=1

 
No Barcode No. Panggil Akses Lokasi Ketersediaan
380826192 512.5 Cla b Baca Online Perpustakaan Pusat - E-Lib KKC
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245 1 # $a Beginning in Algebraic Geometry /$c Emily Clader; Dustin Ross
260 # # $a Singapore :$b Springer Nature,$c 2025
300 # # $a 424p. : $b ill.
500 # # $a Introductory textbooks on algebraic geometry typically demand a strong mathematical background and can be challenging even for advanced students. While many excellent texts aim to bridge the gap to mastering this rich field, learners who are new to abstract algebra—or who have never studied it through a geometric lens—still often find the subject inaccessible. Beginning in Algebraic Geometry achieves a remarkable balance, offering a rigorous and detailed development of algebraic geometry that is nevertheless intended to be readable by students with only a first course in abstract algebra and linear algebra as prerequisites. Starting from the most fundamental properties of polynomials, the reader is guided one step at a time through affine, projective, and quasiprojective algebraic geometry, with complete justifications along the way of such foundational results as the Nullstellensatz and the Theorem on Fiber Dimensions. Several features of this text ensure that it is accessible to the widest possible audience. First, the electronic edition is freely available through Open Access. Furthermore, the authors have skillfully crafted a narrative-driven exposition that reinforces key algebraic concepts (such as quotient rings and modules) and introduces others (such as tensor products and integrality) by developing them within a geometric framework. Well-integrated examples and beautiful illustrations enhance the learning experience, and the writing balances rigor and intuition to maximize readability. Each chapter begins with clearly-stated learning objectives, providing students with a roadmap, and key definitions and results are highlighted for ease of reference. The exercises range from basic to intermediate in difficulty, ensuring sufficient practice without overwhelming the learner. This textbook is suitable for both classroom instruction and independent learners, and it serves as an excellent entry point into the more advanced texts on algebraic geometry.
650 # # $a LINEAR ALGEBRA
700 0 # $a Ross, Dustin
856 # # $a https://directory.doabooks.org/handle/20.500.12854/161332
856 # # $a https://library.oapen.org/bitstream/handle/20.500.12657/103560/9783031888199.pdf?sequence=1
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